Homework
Complete Problems 2,3,4,6 on Surface Area Worksheet.
12/15/10
12/8/10
December 8th, 2010
LOG PROBLEM
What is the area of a parallelogram with a height of 7.9 cm, a length of 4.5 cm, and a base(width) of 3.2 cm? Sketch it. Perimeter?
HOMEWORK
Calculate the area of each circle:
1. Radius = 3 cm
2. Radius = 5 cm
3. Radius = 2.4 cm
What is the area of a parallelogram with a height of 7.9 cm, a length of 4.5 cm, and a base(width) of 3.2 cm? Sketch it. Perimeter?
HOMEWORK
Calculate the area of each circle:
1. Radius = 3 cm
2. Radius = 5 cm
3. Radius = 2.4 cm
12/7/10
December 7th, 2010
HOMEWORK
Calculate the base of each parallelogram:
1. Height = 3cm, Area = 12 cm^2
2. Height = 12cm, Area = 108 cm^2
3. Height = 20cm, Area = 400 cm^2
Parallelogram Sheet Answers
3)323
4)414
5)300
6)336
7)378
8)204
9)168
10)810
11)425
12)1.82
13)24.78
14)163.02
15)7.25
16) 76.14
17)3
18)18
19)21
20)29
21)24
22)31
23)1.4
24)2.6
http://www.cimt.plymouth.ac.uk/projects/mepres/book7/bk7i9/bk7_9i4.htm
Calculate the base of each parallelogram:
1. Height = 3cm, Area = 12 cm^2
2. Height = 12cm, Area = 108 cm^2
3. Height = 20cm, Area = 400 cm^2
Parallelogram Sheet Answers
3)323
4)414
5)300
6)336
7)378
8)204
9)168
10)810
11)425
12)1.82
13)24.78
14)163.02
15)7.25
16) 76.14
17)3
18)18
19)21
20)29
21)24
22)31
23)1.4
24)2.6
http://www.cimt.plymouth.ac.uk/projects/mepres/book7/bk7i9/bk7_9i4.htm
12/6/10
December 6th, 2010
HOMEWORK
Finish problems up to problem #18 on the "Area of Parallelograms" Sheet given out today.
Finish problems up to problem #18 on the "Area of Parallelograms" Sheet given out today.
12/3/10
December 3rd, 2010
Square: Area = side x side Perimeter = 2(l +w)
Rectangle: Area = length x width Perimeter = 2(l +w)
1) What is the length of the side of a square whose area is 64 cm squared ?
a. What is the perimeter?
2) What is the length of the side of a square whose area is 100 cm squared ?
a. What is the perimeter?
3) What is the width of a rectangle whose area is 200 cm squared and 50 cm?
a. What is the perimeter?
4) What is the width of a rectangle whose area is 70 cm cm squared and 7 cm?
a. What is the perimeter?
5) What is the theoretical probability of rolling a 3 on a 6-sided die (dice)?
a. If I roll a 3 one out of 3 times, what is the experimental probability of rolling a 4
Rectangle: Area = length x width Perimeter = 2(l +w)
1) What is the length of the side of a square whose area is 64 cm squared ?
a. What is the perimeter?
2) What is the length of the side of a square whose area is 100 cm squared ?
a. What is the perimeter?
3) What is the width of a rectangle whose area is 200 cm squared and 50 cm?
a. What is the perimeter?
4) What is the width of a rectangle whose area is 70 cm cm squared and 7 cm?
a. What is the perimeter?
5) What is the theoretical probability of rolling a 3 on a 6-sided die (dice)?
a. If I roll a 3 one out of 3 times, what is the experimental probability of rolling a 4
December 2nd, 2010
HOMEWORK
1. Square – Solve for the length of the side: Area = 8100 cm^2
2. Rectangle – Solve for width: Area = 210 cm^2, l = 10 cm
3. Solve for perimeter for both.
1. Square – Solve for the length of the side: Area = 8100 cm^2
2. Rectangle – Solve for width: Area = 210 cm^2, l = 10 cm
3. Solve for perimeter for both.
12/1/10
December 1st, 2010
LOG PROBLEM (Formula Work and Sketch!)
1) What is the length of the sides of square whose area is 49 cm^2?
Answer: l = 7 cm
2) What is the length of a rectangle whose area is 90 cm^2 and whose width is 5 cm?
Answer: l = 18 cm
HOMEWORK
Find the Area of the following squares:
1. s = 12.3 cm
2. s = 40 cm
Length of sides this square?
3. A = 10000 cm^2
http://www.cimt.plymouth.ac.uk/projects/mepres/book7/bk7i9/bk7_9i2.htm
http://www.cimt.plymouth.ac.uk/projects/mepres/book7/bk7i9/bk7_9i3.htm
http://www.cimt.plymouth.ac.uk/projects/mepres/book7/bk7i9/bk7_9i4.htm
1) What is the length of the sides of square whose area is 49 cm^2?
Answer: l = 7 cm
2) What is the length of a rectangle whose area is 90 cm^2 and whose width is 5 cm?
Answer: l = 18 cm
HOMEWORK
Find the Area of the following squares:
1. s = 12.3 cm
2. s = 40 cm
Length of sides this square?
3. A = 10000 cm^2
http://www.cimt.plymouth.ac.uk/projects/mepres/book7/bk7i9/bk7_9i2.htm
http://www.cimt.plymouth.ac.uk/projects/mepres/book7/bk7i9/bk7_9i3.htm
http://www.cimt.plymouth.ac.uk/projects/mepres/book7/bk7i9/bk7_9i4.htm
11/30/10
November 30, 2010
HOMEWORK
Solve for length:
1. Area = 493 cm^2 , w = 99.1 cm
2. Area = 89.5 cm^2 , w = 21.8 cm
3. Area = 18.2 cm^2 , w = 3.6 cm
http://www.aaastudy.com/geo.htm
Answers to Area Problems:
3.22
5.35
2.92
20.86
4.53
5
2.25
34.82
2.93
Solve for length:
1. Area = 493 cm^2 , w = 99.1 cm
2. Area = 89.5 cm^2 , w = 21.8 cm
3. Area = 18.2 cm^2 , w = 3.6 cm
http://www.aaastudy.com/geo.htm
Answers to Area Problems:
3.22
5.35
2.92
20.86
4.53
5
2.25
34.82
2.93
November 29th, 2010
HOMEWORK
Find the Area of the following squares:
1. s = 15.5 cm
2. s = 200 cm
Length of sides?
3. A = 100 cm^2
Find the Area of the following squares:
1. s = 15.5 cm
2. s = 200 cm
Length of sides?
3. A = 100 cm^2
11/23/10
November 23rd, 2010
Perimeter and Area:
http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks2/maths/perimeter_and_area/index.html
Perimeter Problems:
http://www.aaastudy.com/geo78_x7.htm
http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks2/maths/perimeter_and_area/index.html
Perimeter Problems:
http://www.aaastudy.com/geo78_x7.htm
11/18/10
November 18th, 2010
Perimeter Problem Set
1. p = 25 cm, l = 4 cm, w = ?
2. p = 52 cm, l = 12 cm, w = ?
3. p = 300 cm, l = 60 cm, w = ?
4. p = 75 cm, l = 35 cm, w = ?
5. p = 5 cm, l = 1 cm, w = ?
6. p = 150 cm, l = 40 cm, w = ?
7. p = 18 m, l = 6 m, w =
8. P = 17.3 m, w = 2.6 m, l =?
9. P = 7.4 in, w = 1.3in, l =?
10. P = 1.8 cm, w = 0.22 cm, l =?
11. P = 40.8 m, w = 18.25 m, l =?
12. P = 21 ¼ m, w = 4 ¼ m, l =?
13. P = 7 ¾ in, w = 1 and 7/10 in, l =?
14. P = 12 and 2/5 m, w = 2 and 1/5 m, l =
15. P = 7 and 3/8 in, w = 2 and 5/8 in, l =?
1. p = 25 cm, l = 4 cm, w = ?
2. p = 52 cm, l = 12 cm, w = ?
3. p = 300 cm, l = 60 cm, w = ?
4. p = 75 cm, l = 35 cm, w = ?
5. p = 5 cm, l = 1 cm, w = ?
6. p = 150 cm, l = 40 cm, w = ?
7. p = 18 m, l = 6 m, w =
8. P = 17.3 m, w = 2.6 m, l =?
9. P = 7.4 in, w = 1.3in, l =?
10. P = 1.8 cm, w = 0.22 cm, l =?
11. P = 40.8 m, w = 18.25 m, l =?
12. P = 21 ¼ m, w = 4 ¼ m, l =?
13. P = 7 ¾ in, w = 1 and 7/10 in, l =?
14. P = 12 and 2/5 m, w = 2 and 1/5 m, l =
15. P = 7 and 3/8 in, w = 2 and 5/8 in, l =?
11/16/10
November 16th, 2010
LOG PROBLEMS
1) p = ? cm, l = 2 cm, w = 9, a = ?
2) p = 10 cm, l = 2 cm, w = ?, a = ?
HOMEWORK
1. p = ?, a= ?, l = 15 cm, w = 40 cm
2. p = ?, a= ?, l = 10 cm, w = 2 cm
3. p = 100, l = 5 cm, w = ? cm, a= ?
Perimeter Problem Answers:
1) p =14 a= 10
2)p =17 a= 15
3)p =18.8 a= 21.6
4)p =10.2 a=6.3
5)p =144 a=1260
6)p =50.8 a=160.8
7)p =108.6 a=381.8
8)p =298 a=3100
9)p =135.2 a=684.48
10)p =149 a=645
11)w=9, a= 54
12)w=4, a= 8
13)w=60, a= 2400
14)w=7.5, a= 112.5
15)w=1, a= 2
16)w=15, a= 150
17)w=2, a= 4
18)w=8, a= 36
19)w=14, a= 224
20)w=90, a= 5400
Perimeter and Area:
http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks2/maths/perimeter_and_area/index.html
Perimeter Problems:
http://www.aaastudy.com/geo78_x7.htm
1) p = ? cm, l = 2 cm, w = 9, a = ?
2) p = 10 cm, l = 2 cm, w = ?, a = ?
HOMEWORK
1. p = ?, a= ?, l = 15 cm, w = 40 cm
2. p = ?, a= ?, l = 10 cm, w = 2 cm
3. p = 100, l = 5 cm, w = ? cm, a= ?
Perimeter Problem Answers:
1) p =14 a= 10
2)p =17 a= 15
3)p =18.8 a= 21.6
4)p =10.2 a=6.3
5)p =144 a=1260
6)p =50.8 a=160.8
7)p =108.6 a=381.8
8)p =298 a=3100
9)p =135.2 a=684.48
10)p =149 a=645
11)w=9, a= 54
12)w=4, a= 8
13)w=60, a= 2400
14)w=7.5, a= 112.5
15)w=1, a= 2
16)w=15, a= 150
17)w=2, a= 4
18)w=8, a= 36
19)w=14, a= 224
20)w=90, a= 5400
Perimeter and Area:
http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks2/maths/perimeter_and_area/index.html
Perimeter Problems:
http://www.aaastudy.com/geo78_x7.htm
11/15/10
November 15th, 2010
HOMEWORK
1. p = ?, a= ?, l = 3 cm, w = 4 cm
2. p = ?, a= ?, l = 1 cm, w = 2 cm
3. p = ? a= ?, l = 5 cm, w = 6.5 cm
1. p = ?, a= ?, l = 3 cm, w = 4 cm
2. p = ?, a= ?, l = 1 cm, w = 2 cm
3. p = ? a= ?, l = 5 cm, w = 6.5 cm
11/10/10
November 10th, 2010
HOMEWORK: PFW p. 29
1.) 9 - 3x
2.) -1 - 2n
3.) -20 + 49n
4.) 19x - 15
5.) -3 - 16x
6.) 1 - 13x
7) 16 + 15x
8) -1 +8x
9) 5 -12n
10) 10 + x
hstutorials.net
Click "Dial-up version click here"
Click "Distributive Property"
Click "Click Here to Begin"
1.) 9 - 3x
2.) -1 - 2n
3.) -20 + 49n
4.) 19x - 15
5.) -3 - 16x
6.) 1 - 13x
7) 16 + 15x
8) -1 +8x
9) 5 -12n
10) 10 + x
hstutorials.net
Click "Dial-up version click here"
Click "Distributive Property"
Click "Click Here to Begin"
11/9/10
November 9th, 2010
HOMEWORK: PFW p. 28
NEW DISTRIBUTIVE PROBLEMS
1) 2(4x + 4)
8x + 8
2) 8(3x – 5)
24x -40
3) 9(2x + 2)
18x + 18
4) 3(5x + 12)
15x + 36
5) 2(6x – 6) + 2x
12x - 12 + 2x
14x -12
6) 4(3x – 8) + 6
12x - 32 + 6
12 x - 26
7) 5(2x + 2)
10x + 10
8) 4(x – 1)
4x - 4
9) 9(5x + 8)
10) 7(x + 9)
11) 2(11x – 4) + 2x
12) 8(8x – 5) + 6
NEW DISTRIBUTIVE PROBLEMS
1) 2(4x + 4)
8x + 8
2) 8(3x – 5)
24x -40
3) 9(2x + 2)
18x + 18
4) 3(5x + 12)
15x + 36
5) 2(6x – 6) + 2x
12x - 12 + 2x
14x -12
6) 4(3x – 8) + 6
12x - 32 + 6
12 x - 26
7) 5(2x + 2)
10x + 10
8) 4(x – 1)
4x - 4
9) 9(5x + 8)
10) 7(x + 9)
11) 2(11x – 4) + 2x
12) 8(8x – 5) + 6
11/8/10
November 8th, 2010
HOMEWORK: PFW page 28
Answers to Friday's Problems:
1) 4(2x + 5)
8x + 20
2) 7(8x + 1)
56x + 7
3) 3(5x + 2)
a. 15x + 6
4) 5(4x – 1)
a. 20x – 5
5) 6(9x + 8)
a. 54x + 48
6) 2(-3x + 9)
a. -6x +18
7) 5(7x – 4) + 2x
a. 35x – 20 + 2x
37x – 20
8) 3(6x – 5) + 6
a. 18x – 15 + 6
18x – 11
NEW DISTRIBUTIVE PROBLEMS
1) 2(4x + 4)
2) 8(3x – 5)
3) 9(2x + 2)
4) 3(5x + 12)
5) 2(6x – 6) + 2x
6) 4(3x – 8) + 6
7) 5(2x + 2)
8) 4(x – 1)
9) 9(5x + 8)
10) 7(x + 9)
11) 2(11x – 4) + 2x
12) 8(8x – 5) + 6
Answers to Friday's Problems:
1) 4(2x + 5)
8x + 20
2) 7(8x + 1)
56x + 7
3) 3(5x + 2)
a. 15x + 6
4) 5(4x – 1)
a. 20x – 5
5) 6(9x + 8)
a. 54x + 48
6) 2(-3x + 9)
a. -6x +18
7) 5(7x – 4) + 2x
a. 35x – 20 + 2x
37x – 20
8) 3(6x – 5) + 6
a. 18x – 15 + 6
18x – 11
NEW DISTRIBUTIVE PROBLEMS
1) 2(4x + 4)
2) 8(3x – 5)
3) 9(2x + 2)
4) 3(5x + 12)
5) 2(6x – 6) + 2x
6) 4(3x – 8) + 6
7) 5(2x + 2)
8) 4(x – 1)
9) 9(5x + 8)
10) 7(x + 9)
11) 2(11x – 4) + 2x
12) 8(8x – 5) + 6
11/4/10
11/3/10
November 3rd, 2010
HOMEWORK
Complete the Constructed Response Question:
CONSTRUCTED RESPONSE
A total of 8,000 runners started a long distance race. The results of the race are listed:
* 3/16 of the runners finished the race in less than 4 hours
*0.65 of the runners finished the race in 4 or more hours
*The rest of the runners did not finish the race.
A. Calculate the number of runners who finished the race in less than 4 hours. Show your work.
B. Calculate the number of runners who did not finish the race. Show your work. Explain why you did each step.
Complete the Constructed Response Question:
CONSTRUCTED RESPONSE
A total of 8,000 runners started a long distance race. The results of the race are listed:
* 3/16 of the runners finished the race in less than 4 hours
*0.65 of the runners finished the race in 4 or more hours
*The rest of the runners did not finish the race.
A. Calculate the number of runners who finished the race in less than 4 hours. Show your work.
B. Calculate the number of runners who did not finish the race. Show your work. Explain why you did each step.
10/27/10
October 27th, 2010
LOG PROBLEM
Solve for x
1) 24 = 2X
2) 50 = 3x +5
HOMEWORK: PFW Book Page 23
Function Tables Worksheet Answers (y values)
1)
-15
3
6
20
2)
-23
-13
-11
6
3)
-28
-10
-4
36
4)
12
6
2
-20
5)
-10
-9
1
20
6)
38
-2
-26
-30
7)
-26
-10
14
36
8)
27
6
-9
-21
9)
8
2
-1
-3
10)
-15
-6
18
21
11)
36
32
-20
-32
12)
6
4
-6
-12
http://www.mathplayground.com/functionmachine.html
Solve for x
1) 24 = 2X
2) 50 = 3x +5
HOMEWORK: PFW Book Page 23
Function Tables Worksheet Answers (y values)
1)
-15
3
6
20
2)
-23
-13
-11
6
3)
-28
-10
-4
36
4)
12
6
2
-20
5)
-10
-9
1
20
6)
38
-2
-26
-30
7)
-26
-10
14
36
8)
27
6
-9
-21
9)
8
2
-1
-3
10)
-15
-6
18
21
11)
36
32
-20
-32
12)
6
4
-6
-12
http://www.mathplayground.com/functionmachine.html
10/26/10
10/25/10
October 25th, 2010
LOG PROBLEM
Look at this series of numbers: 1, 4, 9, 12, 17, 20, … What are the next 3 numbers in the pattern?
a. 24, 26, 28
b. 21, 24, 29
c. 25, 30, 33
d. 25, 28, 33
NEXT-CURRENT = +3, +5
HOMEWORK : PFW Book page 21
Answers to Worksheet
1) 6, 96, 144, 24, 240, 36, 42
2) 65, 6, 46, 29, 26, 26, 53
3) 1, 3, 3, 1, 6
4) 20, 20, 35, 49, 63, 70
5) 7, 32, 33, 55, 64
6) 36, 52, 39, 42, 58, 89, 95
Look at this series of numbers: 1, 4, 9, 12, 17, 20, … What are the next 3 numbers in the pattern?
a. 24, 26, 28
b. 21, 24, 29
c. 25, 30, 33
d. 25, 28, 33
NEXT-CURRENT = +3, +5
HOMEWORK : PFW Book page 21
Answers to Worksheet
1) 6, 96, 144, 24, 240, 36, 42
2) 65, 6, 46, 29, 26, 26, 53
3) 1, 3, 3, 1, 6
4) 20, 20, 35, 49, 63, 70
5) 7, 32, 33, 55, 64
6) 36, 52, 39, 42, 58, 89, 95
10/22/10
10/21/10
October 21st, 2010
LOG PROBLEM
1) A pen used to cost $2. It now costs $3. What is the percent increase?
2) A pen used to cost $2.50 It now costs $4.25. What is the percent increase?
HOMEWORK – Calculate % increase
Original Cost to New Cost
$10 to $12
$8 to $9
$15 to $18
1) A pen used to cost $2. It now costs $3. What is the percent increase?
2) A pen used to cost $2.50 It now costs $4.25. What is the percent increase?
HOMEWORK – Calculate % increase
Original Cost to New Cost
$10 to $12
$8 to $9
$15 to $18
October 20th, 2010
LOG PROBLEM
1) You have a savings account with an interest rate of 3.5%? How much money will you have if you deposit $400 after a year?
HOMEWORK – p. 17-18 PFW
1) You have a savings account with an interest rate of 3.5%? How much money will you have if you deposit $400 after a year?
HOMEWORK – p. 17-18 PFW
10/19/10
October 19th, 2010
LOG PROBLEM
Convert the following to fractions, decimals, and percents:
a) 1/6
b) 0.21
c) 56%
HOMEWORK: Quiz Tomorrow
Convert the following to fractions, decimals, and percents:
a) 1/6
b) 0.21
c) 56%
HOMEWORK: Quiz Tomorrow
10/18/10
October 18th, 2010
LOG PROBLEM
1) You have a savings account with an interest rate of 3.5%? How much money will you have if you deposit $400 after a year?
HOMEWORK – p. 17-18 PFW
ANNOUNCEMENT: Quiz Wednesday
1) You have a savings account with an interest rate of 3.5%? How much money will you have if you deposit $400 after a year?
HOMEWORK – p. 17-18 PFW
ANNOUNCEMENT: Quiz Wednesday
10/14/10
October 14th, 2010
LOG PROBLEM
1) If I paid 5/8 of the price, what percent did I save?
HOMEWORK – PFW Book page 17
AGENDA
1) More or Less
a. Page 25 – skip11
b. Page 26
ANSWERS
Page 25
12)
Whole Milk: $1.89, 90%
Frozen Dinner: $3.51, 75%
Roasted Turkey: $16.56, 125%
6 Cans of Soda: $2.83, 95%
Canned Salmon: $4.14, 115%
13)$4.23
2) aaamath.com
Percents
Uses of Percents
Discounts/Taxes/Tip/Markup
1) If I paid 5/8 of the price, what percent did I save?
HOMEWORK – PFW Book page 17
AGENDA
1) More or Less
a. Page 25 – skip11
b. Page 26
ANSWERS
Page 25
12)
Whole Milk: $1.89, 90%
Frozen Dinner: $3.51, 75%
Roasted Turkey: $16.56, 125%
6 Cans of Soda: $2.83, 95%
Canned Salmon: $4.14, 115%
13)$4.23
2) aaamath.com
Percents
Uses of Percents
Discounts/Taxes/Tip/Markup
10/13/10
October 13th, 2010
LOG PROBLEM
1) Sale: 2/5 off an item that is $12. What is the final cost?
HOMEWORK – PFW Book page 16
1) Sale: 2/5 off an item that is $12. What is the final cost?
HOMEWORK – PFW Book page 16
October 12th, 2010
LOG PROBLEM
1) Sale: 1/6 off an item that is $72. What is the final cost?
HOMEWORK – PFW Book page 15
1) Sale: 1/6 off an item that is $72. What is the final cost?
HOMEWORK – PFW Book page 15
10/8/10
October 8th, 2010
LOG PROBLEM
1) What is 1/4 of 20 dollars?
2)If you are buying an iPod for $200, and there is a sale for "20% off," what is the final price?
MORE OR LESS
Page 15 and 16 ANSWERS
10)
30% off
5.00 off
25% off
3.50 off
20% off
40% off
3.00 off
10.00 off
11)
a. $54
b. $90
c. $50
d. $40
e. $25
f. $90
g. $90
h. $120
i. $50
j. $2.50
k. $120
l. $100
m. $270
n. $54
GRADE PROBLEMS
1) If you scored 20 questions correctly out of 25, what would your grade percent be?
2) If you scored 18 questions correctly out of 20, what would your grade percent be?
3) If you scored 10 questions correctly out of 15, what would your grade percent be?
4) If you scored 40 questions correctly out of 50, what would your grade percent be?
5) If you scored 2 questions correctly out of 5, what would your grade percent be?
1) What is 1/4 of 20 dollars?
2)If you are buying an iPod for $200, and there is a sale for "20% off," what is the final price?
MORE OR LESS
Page 15 and 16 ANSWERS
10)
30% off
5.00 off
25% off
3.50 off
20% off
40% off
3.00 off
10.00 off
11)
a. $54
b. $90
c. $50
d. $40
e. $25
f. $90
g. $90
h. $120
i. $50
j. $2.50
k. $120
l. $100
m. $270
n. $54
GRADE PROBLEMS
1) If you scored 20 questions correctly out of 25, what would your grade percent be?
2) If you scored 18 questions correctly out of 20, what would your grade percent be?
3) If you scored 10 questions correctly out of 15, what would your grade percent be?
4) If you scored 40 questions correctly out of 50, what would your grade percent be?
5) If you scored 2 questions correctly out of 5, what would your grade percent be?
10/7/10
October 7th, 2010
LOG PROBLEM
1) If you scored 21 questions correctly out of 25, what would your grade percent be?
HOMEWORK: PFW page 13-14
AGENDA
Complete these problems in your notes:
1) If you scored 28 questions correctly out of 30, what would your grade percent be?
2) Page 15 and 16 of More or Less Book
1) If you scored 21 questions correctly out of 25, what would your grade percent be?
HOMEWORK: PFW page 13-14
AGENDA
Complete these problems in your notes:
1) If you scored 28 questions correctly out of 30, what would your grade percent be?
2) Page 15 and 16 of More or Less Book
10/5/10
October 5th, 2010
LOG PROBLEM
1) What is 14% as a decimal and a fraction?
2) What is 1/2 as a decimal? What is 1/4 as a decimal? What is 3/8 as a decimal?
AGENDA
A)Percentages to decimals and percents:
1) 17%
2) 41%
3) 79%
4) 87%
5) 20%
6) 30%
HOMEWORK
7) 10%
8) 15%
9) 25%
10) 75%
1) What is 14% as a decimal and a fraction?
2) What is 1/2 as a decimal? What is 1/4 as a decimal? What is 3/8 as a decimal?
AGENDA
A)Percentages to decimals and percents:
1) 17%
2) 41%
3) 79%
4) 87%
5) 20%
6) 30%
HOMEWORK
7) 10%
8) 15%
9) 25%
10) 75%
10/4/10
9/29/10
September 30th, 2010
Quiz tomorrow!
Quiz is on:
- Line Graphs
- Histograms
- Stem and Leaf Plots
HOMEWORK: Review Worksheet
LOG PROBLEM
1. What is 10% of 87?
2. What is 60% of 300?
AGENDA
1. Copy bold vocabulary on page 140.
2. Page 141: 1-7
3. Box and Whisker Plot Example: p. 142
a. Complete page 143 together
4. Draw a Box and Whisker Plot for this data:
a. 2, 4, 8, 12, 14, 15, 15, 22, 29, 42, 51
b. Label and identify the following:
i. Lower Quartile (1st Quartile)
ii. Median (2nd Quartile)
iii. Upper Quartile (3rd Quartile)
iv. Interquartile range
QUIZ REVIEW
5. BUCKLE DOWN p. 151, 153, 155, 159
Answers:
p.151
1) 24
2) 8
3) 7:00-7:29
p.153
1) day 10
2) day 5
3)day 11
4)B
p.155
1) Nicole's
2) day 5
3) 2006-2008
4)B
p.159
1)47
2)21
3)52
4)yes, 90-99
5)D
Quiz is on:
- Line Graphs
- Histograms
- Stem and Leaf Plots
HOMEWORK: Review Worksheet
LOG PROBLEM
1. What is 10% of 87?
2. What is 60% of 300?
AGENDA
1. Copy bold vocabulary on page 140.
2. Page 141: 1-7
3. Box and Whisker Plot Example: p. 142
a. Complete page 143 together
4. Draw a Box and Whisker Plot for this data:
a. 2, 4, 8, 12, 14, 15, 15, 22, 29, 42, 51
b. Label and identify the following:
i. Lower Quartile (1st Quartile)
ii. Median (2nd Quartile)
iii. Upper Quartile (3rd Quartile)
iv. Interquartile range
QUIZ REVIEW
5. BUCKLE DOWN p. 151, 153, 155, 159
Answers:
p.151
1) 24
2) 8
3) 7:00-7:29
p.153
1) day 10
2) day 5
3)day 11
4)B
p.155
1) Nicole's
2) day 5
3) 2006-2008
4)B
p.159
1)47
2)21
3)52
4)yes, 90-99
5)D
September 29th, 2010
LOG PROBLEM
1. What is 10% of 25?
HOMEWORK
1. 25% of 50
2. 75% of 200
3. 10% of 10
AGENDA
1. Collect Circle Graph Worksheet
2. Histogram Worksheet – You should have two histograms drawn on a separate sheet of paper
3. DWD Book – p. 19 (problems 14a and 14b), p. 22
4. PSSA Buckle Down Book – p. 151
LINK
http://www.shodor.org/interactivate/activities/SimpleMazeGame/
1. What is 10% of 25?
HOMEWORK
1. 25% of 50
2. 75% of 200
3. 10% of 10
AGENDA
1. Collect Circle Graph Worksheet
2. Histogram Worksheet – You should have two histograms drawn on a separate sheet of paper
3. DWD Book – p. 19 (problems 14a and 14b), p. 22
4. PSSA Buckle Down Book – p. 151
LINK
http://www.shodor.org/interactivate/activities/SimpleMazeGame/
9/28/10
September 28th, 2010
LOG PROBLEM
1. What is 12% of 400?
2. What is 5% of 150?
VOCABULARY:
1. Histogram – bar graph that shows data in intervals
2. Interval – range of numbers (ex. 11-20)
HOMEWORK - DWD Book
-page 19 (problems 14a and 14b)
-page 22
1. What is 12% of 400?
2. What is 5% of 150?
VOCABULARY:
1. Histogram – bar graph that shows data in intervals
2. Interval – range of numbers (ex. 11-20)
HOMEWORK - DWD Book
-page 19 (problems 14a and 14b)
-page 22
9/27/10
9/24/10
9/22/10
September 22nd, 2010
LOG PROBLEM
What is the mean, median, mode, and range for the following data:
1.8, 2.8, 0.7, 1.5, 0.7
HOMEWORK
PFW - Complete pages 1 and 2
What is the mean, median, mode, and range for the following data:
1.8, 2.8, 0.7, 1.5, 0.7
HOMEWORK
PFW - Complete pages 1 and 2
9/21/10
September 21st, 2010
1) LOG PROBLEM
What is the mean, median, mode, and range of the following numbers?
A) 102, 99, 98, 102
2) HOMEWORK – Quiz Tomorrow!
Calculate the mean, median, mode, and range for the following sets of data:
a. 20.2 22, 20.2, 19.8
b. 57, 55, 55, 54, 53, 54
What is the mean, median, mode, and range of the following numbers?
A) 102, 99, 98, 102
2) HOMEWORK – Quiz Tomorrow!
Calculate the mean, median, mode, and range for the following sets of data:
a. 20.2 22, 20.2, 19.8
b. 57, 55, 55, 54, 53, 54
9/20/10
1) LOG PROBLEM
What is the mean, median, mode, and range of the following numbers?
A) 7, 10, 8, 4, 8, 11, 9, 9, 8, 6
2) HOMEWORK – Quiz Wednesday!
Calculate the mean, median, mode, and range for the following sets of data:
a. 12, 9, 13, 13, 11, 13, 12, 13
b. 2, 1, 2, 2, 4, 2
3) Class Work
A) Dealing With Data page 9
a. Graph the points on the graph paper given to you
What is the mean, median, mode, and range of the following numbers?
A) 7, 10, 8, 4, 8, 11, 9, 9, 8, 6
2) HOMEWORK – Quiz Wednesday!
Calculate the mean, median, mode, and range for the following sets of data:
a. 12, 9, 13, 13, 11, 13, 12, 13
b. 2, 1, 2, 2, 4, 2
3) Class Work
A) Dealing With Data page 9
a. Graph the points on the graph paper given to you
9/17/10
September 17th, 2010
LOG PROBLEM
What is the mean, median, mode, and range of the following numbers?
11.8, 2.41, 8.02, 11.8
What is the mean, median, mode, and range of the following numbers?
11.8, 2.41, 8.02, 11.8
9/16/10
September 16th, 2010
HOMEWORK: PFW Book Page 1: Problems1-4
LOG PROBLEM
What is the mean, median, mode, and range of the following numbers?
A) 1, 3, 9, 1, 9
LOG PROBLEM
What is the mean, median, mode, and range of the following numbers?
A) 1, 3, 9, 1, 9
9/15/10
September 15th, 2010
LOG PROBLEM
What is the mean and the mode of the following numbers?
A) 11.2, 4.42, 11.2, 13.378
Answer: Mean - 10.05 Mode - 11.2
HOMEWORK
What is the mean and the mode of the following numbers?
A) 12.5, 3.12, 3.12, 10
A) 5, 1.42, 10, 10, 10
A) 9.8, 7, 31
Page 3
3a.
2b and 2c are easy because they occur so early in the list.
3b.
2d was difficult because the example was so far down the list.
4.
They probably counted the cases where the sons were taller than their fathers. They could have also graphed their data or found the mean of the sons and the fathers.
Page 4
5a.
Anita’s reasoning is better. She counts the amount of cases. Dustin only uses one value.
5b.
Anita’s reasoning is better. Tiwanda’s numbers can be misleading if there were several very tall sons.
5c.
Huong’s is the best because it takes all the data into account.
Page 6
8.
They collected data from a large sample. If chosen carefully, with attention to representatives, a large sample can show things about the whole population even though the whole population may be much larger than the sample.
Page 7
9.
The fishbowl on the left is representative. It shows every different type of fish. The one on the right does not.
10.
Population- 711; Sample that is not representative – 4 girls
11.
Possibly not, college students in 1903 might have had better nutrition.
Page 8
13.
If a sample does not represent the population fairly, the data will not give a true picture of the population.
14.
It is difficult to see patterns or trends. The data must be organized in some way to make sense of it!
15.
Put the data in order. Graph the data. Calculate the mean and range to summarize the data.
What is the mean and the mode of the following numbers?
A) 11.2, 4.42, 11.2, 13.378
Answer: Mean - 10.05 Mode - 11.2
HOMEWORK
What is the mean and the mode of the following numbers?
A) 12.5, 3.12, 3.12, 10
A) 5, 1.42, 10, 10, 10
A) 9.8, 7, 31
Page 3
3a.
2b and 2c are easy because they occur so early in the list.
3b.
2d was difficult because the example was so far down the list.
4.
They probably counted the cases where the sons were taller than their fathers. They could have also graphed their data or found the mean of the sons and the fathers.
Page 4
5a.
Anita’s reasoning is better. She counts the amount of cases. Dustin only uses one value.
5b.
Anita’s reasoning is better. Tiwanda’s numbers can be misleading if there were several very tall sons.
5c.
Huong’s is the best because it takes all the data into account.
Page 6
8.
They collected data from a large sample. If chosen carefully, with attention to representatives, a large sample can show things about the whole population even though the whole population may be much larger than the sample.
Page 7
9.
The fishbowl on the left is representative. It shows every different type of fish. The one on the right does not.
10.
Population- 711; Sample that is not representative – 4 girls
11.
Possibly not, college students in 1903 might have had better nutrition.
Page 8
13.
If a sample does not represent the population fairly, the data will not give a true picture of the population.
14.
It is difficult to see patterns or trends. The data must be organized in some way to make sense of it!
15.
Put the data in order. Graph the data. Calculate the mean and range to summarize the data.
9/14/10
September 14th, 2010
LOG PROBLEM
What is the mean of the following numbers?
A) 2.3, 4.01, 5.48
B) 8.3, 9.03, 8.12
C) 10.22, 12.4, 12.15
ANSWERS:
A) 3.93
B) 8.48
C) 11.59
What is the mean of the following numbers?
A) 2.3, 4.01, 5.48
B) 8.3, 9.03, 8.12
C) 10.22, 12.4, 12.15
ANSWERS:
A) 3.93
B) 8.48
C) 11.59
9/13/10
September 13th, 2010
HOMEWORK
What is the mean of the following numbers?
A) 1, 3, 4
B) 5, 8, 8, 10
C) 2, 4, 4, 6
LOG PROBLEM 2
What is the mean of the following numbers?
A) 104, 82, 96, 86
Answer: 92
LOG PROBLEM
If you got the following scores on your math quizzes, what would the MEAN be?
A) 70, 100
B) 90, 95, 100
C) 70, 65, 80, 80, 90
ANSWERS TO LOG PROBLEMS:
A) 85
B) 95
C) 77
Next assignment:
1. Go to aaamath.com
2. On left side, click "Statistics"
3. Click on "Statistical Mean or Average - 1 digit numbers"
4. Read what the definition of Mean
5. Scroll down and solve 10 problems correctly.
6. Click back to the menu and do the same for the other types of problems.
What is the mean of the following numbers?
A) 1, 3, 4
B) 5, 8, 8, 10
C) 2, 4, 4, 6
LOG PROBLEM 2
What is the mean of the following numbers?
A) 104, 82, 96, 86
Answer: 92
LOG PROBLEM
If you got the following scores on your math quizzes, what would the MEAN be?
A) 70, 100
B) 90, 95, 100
C) 70, 65, 80, 80, 90
ANSWERS TO LOG PROBLEMS:
A) 85
B) 95
C) 77
Next assignment:
1. Go to aaamath.com
2. On left side, click "Statistics"
3. Click on "Statistical Mean or Average - 1 digit numbers"
4. Read what the definition of Mean
5. Scroll down and solve 10 problems correctly.
6. Click back to the menu and do the same for the other types of problems.
9/8/10
September 8th, 2010
HOMEWORK
Get a three-ring binder and dividers
LOG PROBLEM: If you got the following scores on your math quizzes, what would your final number grade be?
A) 80, 100
B) 90, 92, 100, 98
C) 88, 72, 63, 100, 91, 74, 99, 100, 85
Answers:
A) 90
B) 95
C) 85.78
Next assignment:
1. Go to aaamath.com
2. On left side, click "Statistics"
3. Click on "Statistical Mean or Average - 1 digit numbers"
4. Read what the definition of Mean
5. Scroll down and solve 10 problems correctly.
6. Click back to the menu and do the same for the other types of problems.
Get a three-ring binder and dividers
LOG PROBLEM: If you got the following scores on your math quizzes, what would your final number grade be?
A) 80, 100
B) 90, 92, 100, 98
C) 88, 72, 63, 100, 91, 74, 99, 100, 85
Answers:
A) 90
B) 95
C) 85.78
Next assignment:
1. Go to aaamath.com
2. On left side, click "Statistics"
3. Click on "Statistical Mean or Average - 1 digit numbers"
4. Read what the definition of Mean
5. Scroll down and solve 10 problems correctly.
6. Click back to the menu and do the same for the other types of problems.
6/8/10
June 8th, 2010
LOG PROBLEM
1) A square has an area of 900 centimeters squared (cm^2).
a. What is the length of its sides?
b. What is the perimeter of the square?
2) Solve for the WIDTH and the area of this RECTANGLE.
Remember, p = 2(l+w)
p = 200 cm, l = 60 cm, w = ?, a =?
1) A square has an area of 900 centimeters squared (cm^2).
a. What is the length of its sides?
b. What is the perimeter of the square?
2) Solve for the WIDTH and the area of this RECTANGLE.
Remember, p = 2(l+w)
p = 200 cm, l = 60 cm, w = ?, a =?
6/7/10
June 7th, 2010
LOG PROBLEM
1) A square has an area of 40000 centimeters squared (cm^2).
a. What is the length of its sides?
b. What is the perimeter of the square?
2) Solve for the WIDTH and the area of this RECTANGLE.
Remember, p = 2(l+w)
p = 100 cm, l = 20 cm, w = ?, a =?
WORK TODAY
1. Assemble cube if you have not done so.
2. Calculate the surface area and the volume of the cube. (If you don't know how, look it up. You have a great research tool in front of you.
3. Answer questions on page 8, 9, and 10 of Packages and Polygons.
1) A square has an area of 40000 centimeters squared (cm^2).
a. What is the length of its sides?
b. What is the perimeter of the square?
2) Solve for the WIDTH and the area of this RECTANGLE.
Remember, p = 2(l+w)
p = 100 cm, l = 20 cm, w = ?, a =?
WORK TODAY
1. Assemble cube if you have not done so.
2. Calculate the surface area and the volume of the cube. (If you don't know how, look it up. You have a great research tool in front of you.
3. Answer questions on page 8, 9, and 10 of Packages and Polygons.
6/2/10
June 2nd, 2010
LOG PROBLEM
1) A square has an area of 4900 centimeters squared (cm^2).
a. What is the length of its sides?
b. What is the perimeter of the square?
2) Solve for the WIDTH and the area of this RECTANGLE.
Remember, p = 2(l+w)
p = 40 cm, l = 10.2 cm, w = ?, a =?
SQUARES
3. A square has an area of 10000 centimeters squared (cm^2).
a. What is the length of its sides?
b. What is the perimeter of the square?
RECTANGLES
Solve for the perimeter and area.
4. p = ?, a= ?, l = 2 cm, w = 4 cm
5. p = ?, a= ?, l = 15 cm, w = 25 cm
Solve for the WIDTH and the area.
6. p = 250 cm, l = 56 cm, w = ?, a =?
7. p = 100 cm, l = 10 cm, w = ? , a =?
1) A square has an area of 4900 centimeters squared (cm^2).
a. What is the length of its sides?
b. What is the perimeter of the square?
2) Solve for the WIDTH and the area of this RECTANGLE.
Remember, p = 2(l+w)
p = 40 cm, l = 10.2 cm, w = ?, a =?
SQUARES
3. A square has an area of 10000 centimeters squared (cm^2).
a. What is the length of its sides?
b. What is the perimeter of the square?
RECTANGLES
Solve for the perimeter and area.
4. p = ?, a= ?, l = 2 cm, w = 4 cm
5. p = ?, a= ?, l = 15 cm, w = 25 cm
Solve for the WIDTH and the area.
6. p = 250 cm, l = 56 cm, w = ?, a =?
7. p = 100 cm, l = 10 cm, w = ? , a =?
6/1/10
June 1st, 2010
LOG PROBLEM
1) A square has an area of 8100 centimeters squared (cm^2).
a. What is the length of its sides?
b. What is the perimeter of the square?
2)Solve for the WIDTH and the area of this RECTANGLE.
Remember, p = 2(l+w)
p = 26 cm, l = 8cm, w = ?, a =?
SQUARES
1) A square has an area of 1600 centimeters squared (cm^2).
a. What is the length of its sides?
b. What is the perimeter of the square?
2) A square has an area of 2500 centimeters squared (cm^2).
a. What is the length of its sides?
b. What is the perimeter of the square?
3) A square has an area of 400 centimeters squared (cm^2).
a. What is the length of its sides?
b. What is the perimeter of the square?
RECTANGLES
Solve for the perimeter and area.
4. p = ?, a= ?, l = 3 cm, w = 4.5 cm
5. p = ?, a= ?, l = 10 cm, w = 10 cm
6. p = ?, a= ?, l = 80 cm, w = 45.5 cm
7. p = ?, a= ?, l = 9.3 cm, w = 10.3 cm
8. p = ?, a= ?, l = 40 cm, w = 20 cm
Solve for the WIDTH and the area.
9. p = 150 cm, l = 46 cm, w = ?, a =?
10. p = 128 cm, l = 22 cm, w = ? , a =?
11. p = 1600 cm, l = 500 cm, w = ? , a =?
12. p = 90 cm, l = 14.5 cm, w = ? , a =?
13. p = 200 cm, l = 42.5 cm, w = ? , a =?
1) A square has an area of 8100 centimeters squared (cm^2).
a. What is the length of its sides?
b. What is the perimeter of the square?
2)Solve for the WIDTH and the area of this RECTANGLE.
Remember, p = 2(l+w)
p = 26 cm, l = 8cm, w = ?, a =?
SQUARES
1) A square has an area of 1600 centimeters squared (cm^2).
a. What is the length of its sides?
b. What is the perimeter of the square?
2) A square has an area of 2500 centimeters squared (cm^2).
a. What is the length of its sides?
b. What is the perimeter of the square?
3) A square has an area of 400 centimeters squared (cm^2).
a. What is the length of its sides?
b. What is the perimeter of the square?
RECTANGLES
Solve for the perimeter and area.
4. p = ?, a= ?, l = 3 cm, w = 4.5 cm
5. p = ?, a= ?, l = 10 cm, w = 10 cm
6. p = ?, a= ?, l = 80 cm, w = 45.5 cm
7. p = ?, a= ?, l = 9.3 cm, w = 10.3 cm
8. p = ?, a= ?, l = 40 cm, w = 20 cm
Solve for the WIDTH and the area.
9. p = 150 cm, l = 46 cm, w = ?, a =?
10. p = 128 cm, l = 22 cm, w = ? , a =?
11. p = 1600 cm, l = 500 cm, w = ? , a =?
12. p = 90 cm, l = 14.5 cm, w = ? , a =?
13. p = 200 cm, l = 42.5 cm, w = ? , a =?
5/28/10
May 28th, 2010
LOG PROBLEM
1) A square has an area of 64 centimeters squared (cm^2).
a. What is the length of its sides?
b. What is the perimeter of the square?
2) Solve for the WIDTH and the area of this RECTANGLE.
Remember, p = 2(l+w)
p = 50 cm, l = 20 cm, w = ?, a =?
ACTIVITY
1. Measure the perimeter of the rectangles that make up your rectangular prism (box).
2. Measure the area of the rectangles that make up your rectangular prism (box).
3. Add up all the areas of the rectangles to calculate the surface area.
Surface Area Problems
Calculate the surface area of the following cubes. Formula: surface area = side x side x 6
1. side = 2 cm
2. side = 3.8 cm
3. side = 14 cm
4. side = 22.7 cm
5. side = 100 cm
1) A square has an area of 64 centimeters squared (cm^2).
a. What is the length of its sides?
b. What is the perimeter of the square?
2) Solve for the WIDTH and the area of this RECTANGLE.
Remember, p = 2(l+w)
p = 50 cm, l = 20 cm, w = ?, a =?
ACTIVITY
1. Measure the perimeter of the rectangles that make up your rectangular prism (box).
2. Measure the area of the rectangles that make up your rectangular prism (box).
3. Add up all the areas of the rectangles to calculate the surface area.
Surface Area Problems
Calculate the surface area of the following cubes. Formula: surface area = side x side x 6
1. side = 2 cm
2. side = 3.8 cm
3. side = 14 cm
4. side = 22.7 cm
5. side = 100 cm
5/27/10
May 27th, 2010
LOG PROBLEM
1) A square has an area of 49 centimeters squared (cm^2).
a. What is the length of its sides?
b. What is the perimeter of the square?
2)Solve for the WIDTH and the area of this RECTANGLE.
Remember, p = 2(l+w)
p = 30 cm, l = 6 cm, w = ?, a =?
SQUARES
1) A square has an area of 1600 centimeters squared (cm^2).
a. What is the length of its sides?
b. What is the perimeter of the square?
2) A square has an area of 8100 centimeters squared (cm^2).
a. What is the length of its sides?
b. What is the perimeter of the square?
3) A square has an area of 121 centimeters squared (cm^2).
a. What is the length of its sides?
b. What is the perimeter of the square?
RECTANGLES
Solve for the perimeter and area.
4. p = ?, a= ?, l = 2 cm, w = 2.5 cm
5. p = ?, a= ?, l = 20 cm, w = 10 cm
6. p = ?, a= ?, l = 20 cm, w = 15.5 cm
7. p = ?, a= ?, l = 7.6 cm, w = 4.3 cm
8. p = ?, a= ?, l = 124 cm, w = 25 cm
Solve for the WIDTH and the area.
9. p = 56 cm, l = 16 cm, w = ?, a =?
10. p = 120 cm, l = 20 cm, w = ? , a =?
11. p = 1500 cm, l = 400 cm, w = ? , a =?
12. p = 60 cm, l = 25.2 cm, w = ? , a =?
13. p = 176 cm, l = 49.5 cm, w = ? , a =?
1) A square has an area of 49 centimeters squared (cm^2).
a. What is the length of its sides?
b. What is the perimeter of the square?
2)Solve for the WIDTH and the area of this RECTANGLE.
Remember, p = 2(l+w)
p = 30 cm, l = 6 cm, w = ?, a =?
SQUARES
1) A square has an area of 1600 centimeters squared (cm^2).
a. What is the length of its sides?
b. What is the perimeter of the square?
2) A square has an area of 8100 centimeters squared (cm^2).
a. What is the length of its sides?
b. What is the perimeter of the square?
3) A square has an area of 121 centimeters squared (cm^2).
a. What is the length of its sides?
b. What is the perimeter of the square?
RECTANGLES
Solve for the perimeter and area.
4. p = ?, a= ?, l = 2 cm, w = 2.5 cm
5. p = ?, a= ?, l = 20 cm, w = 10 cm
6. p = ?, a= ?, l = 20 cm, w = 15.5 cm
7. p = ?, a= ?, l = 7.6 cm, w = 4.3 cm
8. p = ?, a= ?, l = 124 cm, w = 25 cm
Solve for the WIDTH and the area.
9. p = 56 cm, l = 16 cm, w = ?, a =?
10. p = 120 cm, l = 20 cm, w = ? , a =?
11. p = 1500 cm, l = 400 cm, w = ? , a =?
12. p = 60 cm, l = 25.2 cm, w = ? , a =?
13. p = 176 cm, l = 49.5 cm, w = ? , a =?
5/26/10
May 26th, 2010
1) A square has a length of 5 cm. What is the perimeter and area of the square?
2) A square has a length of 6.5 cm. What is the perimeter and area of the square?
3) A square has a length of 14 cm. What is the perimeter and area of the square?
4) A square has a length of 20.7 cm. What is the perimeter and area of the square?
5) A square has a length of 200 cm. What is the perimeter and area of the square?
6) A square has an area of 900 centimeters squared (cm^2).
a. What is the length of its sides?
b. What is the perimeter of the square?
7) A square has an area of 25 centimeters squared (cm^2).
a. What is the length of its sides?
b. What is the perimeter of the square?
8) A square has an area of 100 centimeters squared (cm^2).
a. What is the length of its sides?
b. What is the perimeter of the square?
9) A square has an area of 36 centimeters squared (cm^2).
a. What is the length of its sides?
b. What is the perimeter of the square?
10) A square has an area of 144 centimeters squared (cm^2).
a. What is the length of its sides?
b. What is the perimeter of the square?
2) A square has a length of 6.5 cm. What is the perimeter and area of the square?
3) A square has a length of 14 cm. What is the perimeter and area of the square?
4) A square has a length of 20.7 cm. What is the perimeter and area of the square?
5) A square has a length of 200 cm. What is the perimeter and area of the square?
6) A square has an area of 900 centimeters squared (cm^2).
a. What is the length of its sides?
b. What is the perimeter of the square?
7) A square has an area of 25 centimeters squared (cm^2).
a. What is the length of its sides?
b. What is the perimeter of the square?
8) A square has an area of 100 centimeters squared (cm^2).
a. What is the length of its sides?
b. What is the perimeter of the square?
9) A square has an area of 36 centimeters squared (cm^2).
a. What is the length of its sides?
b. What is the perimeter of the square?
10) A square has an area of 144 centimeters squared (cm^2).
a. What is the length of its sides?
b. What is the perimeter of the square?
5/24/10
May 24th, 2010
DON’T WRITE THIS PART – DRAW IT!
What is the shape of an object that has 4 sides, a length of 5 cm, and a width of 3 centimeters?
WRITE THIS PART
What is the shape’s perimeter? What is the area of the shape?
Packages and Polygons Book
Page 1
1. Sort by material, sort by shape, sort by type
2. Boxes and cans are easy to stack. Some objects might be designed to look nice like a perfume bottle.
Page 2
3a. The cylinders all have circles on the top and bottom.
3b. Truncated means cut off.
3c. Each of the prisms has at least two sides that are the same size and same shape.
3d. All the sides of a pyramid except the bottom come together in one point. The edges of the bottom side always stay at the same distance from the point at the top. A pyramid always has triangle-shaped sides, except the bottom. A prism has rectangle-shaped sides, except the top and bottom sides.
3e. A pyramid looks like a cone with flat sides.
PAGE 3
4a. Box of chalk, cereal box, index card box
4b.Box for a volley ball
4c. soda can, soup can
4d. orange, grapefruit
4e. ice cream cone, party hat
4f. yogurt container, megaphone
4g. light bulb box, cereal box
4h. candy, puzzle box
PAGE 4
6a. sphere
6b. rectangular prism
6c. prism
6d. cylinder, half a sphere on top
6e. prism
6f. cylinder
6g. truncated cone
6h. cone
6i. prism
6j. pyramid
What is the shape of an object that has 4 sides, a length of 5 cm, and a width of 3 centimeters?
WRITE THIS PART
What is the shape’s perimeter? What is the area of the shape?
Packages and Polygons Book
Page 1
1. Sort by material, sort by shape, sort by type
2. Boxes and cans are easy to stack. Some objects might be designed to look nice like a perfume bottle.
Page 2
3a. The cylinders all have circles on the top and bottom.
3b. Truncated means cut off.
3c. Each of the prisms has at least two sides that are the same size and same shape.
3d. All the sides of a pyramid except the bottom come together in one point. The edges of the bottom side always stay at the same distance from the point at the top. A pyramid always has triangle-shaped sides, except the bottom. A prism has rectangle-shaped sides, except the top and bottom sides.
3e. A pyramid looks like a cone with flat sides.
PAGE 3
4a. Box of chalk, cereal box, index card box
4b.Box for a volley ball
4c. soda can, soup can
4d. orange, grapefruit
4e. ice cream cone, party hat
4f. yogurt container, megaphone
4g. light bulb box, cereal box
4h. candy, puzzle box
PAGE 4
6a. sphere
6b. rectangular prism
6c. prism
6d. cylinder, half a sphere on top
6e. prism
6f. cylinder
6g. truncated cone
6h. cone
6i. prism
6j. pyramid
5/20/10
May 21st, 2010
LOG PROBLEM
If 45 people vote for Arlen Spechter in the primary out of 100, what is the probability that the next person will voter for Arlen Spechter?
Page 25
1. $2.50 x 1400 = $3,500
Page 26
2.
20% x 100 = .20 x 100 = 20
You would expect 20 cars to use the carpool lane.
3.
Low toll - 200
High toll - 800
Page 27
4a.
200 x $1.00 = $200
800 x $4.00 = $3,200
$200 + $3,200 = $3,400
4b.
$3,400/1000 = $3.40
The average toll charge per car will be $3.40
5.
200 cars x 3 = 600 carpool users
800 cars x 1 = 800 non-carpool users
600+800 = 1,400 travelers
6.
The department should make the change because there wil be 400 fewer cars on the road, which will lessen pollution and road wear and be safer.
Page 28
7.
The cars are divided according to the lane they use. The toll for all the cars in each lane is calculated. Then, all the tolls are added.
8a and 8b.
1000 cars
300 cars x $1 = $300
700 cars x $4 = $2,800
$300 + $2,800 = $3,100
Total = $3,100
8c.
$3,100/1000 = $3.10
8d.
The highway department might be interested because they could use this value to estimate the total amount of money collected for different time periods.
If 45 people vote for Arlen Spechter in the primary out of 100, what is the probability that the next person will voter for Arlen Spechter?
Page 25
1. $2.50 x 1400 = $3,500
Page 26
2.
20% x 100 = .20 x 100 = 20
You would expect 20 cars to use the carpool lane.
3.
Low toll - 200
High toll - 800
Page 27
4a.
200 x $1.00 = $200
800 x $4.00 = $3,200
$200 + $3,200 = $3,400
4b.
$3,400/1000 = $3.40
The average toll charge per car will be $3.40
5.
200 cars x 3 = 600 carpool users
800 cars x 1 = 800 non-carpool users
600+800 = 1,400 travelers
6.
The department should make the change because there wil be 400 fewer cars on the road, which will lessen pollution and road wear and be safer.
Page 28
7.
The cars are divided according to the lane they use. The toll for all the cars in each lane is calculated. Then, all the tolls are added.
8a and 8b.
1000 cars
300 cars x $1 = $300
700 cars x $4 = $2,800
$300 + $2,800 = $3,100
Total = $3,100
8c.
$3,100/1000 = $3.10
8d.
The highway department might be interested because they could use this value to estimate the total amount of money collected for different time periods.
5/18/10
May 19th, 2010
LOG PROBLEM
If 77 out of 200 people vote yes on a bill, what is the probability that one of the people voted yes?
Great Expectations
Page 17
1a) 135 yes, 165 no. The majority will vote no.
1b) 77/200 = 0.385 = 38.5%
Page 18
2)
East:
Yes-60
No-40
Total-100
Total:
Yes-180
No-120
Total-300
3)
a)
West:
Yes-77
No-123
Total-200
East:
Yes-58
No-42
Total-100
Total:
Yes-135
No-165
Total-300
3b)People in the east are more in favor than people in the west. There is a higher percentage of people in the east that voted yes. 58 out of 100, 58%.
3c) Yes, there is a connection. There is a much larger percentage in favor of the bridge on the east side. 58% compared to 38.5%
Page 21
10)The test was designed in such a complicated way so that it would be easy to determine whether the repellent really works. The group whose lotion contains repellent (experimental group) can be compared to the group whose lotion does not contain repellent (the control group). It is important for people not to know which group they are in so that the results are unbiased.
11a) 200 people
11b) 41 people received repellent and were bitten anyway, 79 people received repellent and were not bitten, and a total of 120 people were given repellent.
11c)
Region 1: With repellent, 34% were bitten; without repellent 66% were bitten
Region 2: With repellent, 64% were bitten; without repellent 64% were bitten
Region 3: With repellent, 77% were bitten; without repellent 70% were bitten
Region 4: With repellent, 45% were bitten; without repellent 68% were bitten
The repellent seemed to work the best for Region 1.
Page 22
12a) 16/40 = 0.4 = 40%
12b) 20/40 = 0.5 = 50%
13a)
Blue: square-4, pyramid-4, cylinder-12, total-20
Orange: square-12, pyramid-5, cylinder-3, total-20
Total: square-16, pyramid-9, cylinder-15, total-40
13b) Koko seems to like orange cubes better than blue cubes. (12/16 are orange; 75%)
She prefers blue cyliders as well. (12/15 = 80%)
14) The probability is 20/40 or 50% because half the blocks are orange.
15) The probability is 12/16 or 75% because 12 of the 16 cubes are orange.
16) Pyramid is the shape because there are about as many blue as orange pyramids.
If 77 out of 200 people vote yes on a bill, what is the probability that one of the people voted yes?
Great Expectations
Page 17
1a) 135 yes, 165 no. The majority will vote no.
1b) 77/200 = 0.385 = 38.5%
Page 18
2)
East:
Yes-60
No-40
Total-100
Total:
Yes-180
No-120
Total-300
3)
a)
West:
Yes-77
No-123
Total-200
East:
Yes-58
No-42
Total-100
Total:
Yes-135
No-165
Total-300
3b)People in the east are more in favor than people in the west. There is a higher percentage of people in the east that voted yes. 58 out of 100, 58%.
3c) Yes, there is a connection. There is a much larger percentage in favor of the bridge on the east side. 58% compared to 38.5%
Page 21
10)The test was designed in such a complicated way so that it would be easy to determine whether the repellent really works. The group whose lotion contains repellent (experimental group) can be compared to the group whose lotion does not contain repellent (the control group). It is important for people not to know which group they are in so that the results are unbiased.
11a) 200 people
11b) 41 people received repellent and were bitten anyway, 79 people received repellent and were not bitten, and a total of 120 people were given repellent.
11c)
Region 1: With repellent, 34% were bitten; without repellent 66% were bitten
Region 2: With repellent, 64% were bitten; without repellent 64% were bitten
Region 3: With repellent, 77% were bitten; without repellent 70% were bitten
Region 4: With repellent, 45% were bitten; without repellent 68% were bitten
The repellent seemed to work the best for Region 1.
Page 22
12a) 16/40 = 0.4 = 40%
12b) 20/40 = 0.5 = 50%
13a)
Blue: square-4, pyramid-4, cylinder-12, total-20
Orange: square-12, pyramid-5, cylinder-3, total-20
Total: square-16, pyramid-9, cylinder-15, total-40
13b) Koko seems to like orange cubes better than blue cubes. (12/16 are orange; 75%)
She prefers blue cyliders as well. (12/15 = 80%)
14) The probability is 20/40 or 50% because half the blocks are orange.
15) The probability is 12/16 or 75% because 12 of the 16 cubes are orange.
16) Pyramid is the shape because there are about as many blue as orange pyramids.
May 18th, 2010
WORK TODAY
We had a quiz on factorials, permutations, and combinations.
HOMEWORK
No homework tonight.
We had a quiz on factorials, permutations, and combinations.
HOMEWORK
No homework tonight.
5/16/10
May 17th, 2010
LOG PROBLEM
1) How many ways can you arrange 4 cars?
2) How many ways can you arrange 2 cars out of a group of 4?
3) How many different groups of 2 cars can you have out of 4 cars?
ANSWERS TO WORD PROBLEMS ON MAY 14TH
1) 24
2) 46,376
3) 504
4) 5456
5) 5040
6) 90
7) 252
8) 362,880
9) 360
10) 35
WORD PROBLEMS
1) How many ways can you arrange the letters S I X?
2)There are 30 students in Mr. Warner's class. If only 3 students can be chosen for student council, then how many different groups of students can be chosen?
3) Mike has 10 jelly beans. How many different arrangements can Mike eat 4 jelly beans?
4) There are 20 students in Miss Ruben's class. If only 2 students can be chosen to go get breakfast, then how many different groups of students can be chosen?
5) How many ways can you arrange the letters F L Y E R?
6) Jenn has 20 socks. How many different arrangements can Jen wear two socks?
7) If you are dealt 8 cards, how many different combinations of 3 cards can you have?
8) How many ways can you arrange the letters O R A N G E?
9) Ann has 7 cars. How many different ways can she arrange the parking of 3 of the cars?
10) If you are dealt 5 cards, how many different combinations of 2 cards can you have?
1) How many ways can you arrange 4 cars?
2) How many ways can you arrange 2 cars out of a group of 4?
3) How many different groups of 2 cars can you have out of 4 cars?
ANSWERS TO WORD PROBLEMS ON MAY 14TH
1) 24
2) 46,376
3) 504
4) 5456
5) 5040
6) 90
7) 252
8) 362,880
9) 360
10) 35
WORD PROBLEMS
1) How many ways can you arrange the letters S I X?
2)There are 30 students in Mr. Warner's class. If only 3 students can be chosen for student council, then how many different groups of students can be chosen?
3) Mike has 10 jelly beans. How many different arrangements can Mike eat 4 jelly beans?
4) There are 20 students in Miss Ruben's class. If only 2 students can be chosen to go get breakfast, then how many different groups of students can be chosen?
5) How many ways can you arrange the letters F L Y E R?
6) Jenn has 20 socks. How many different arrangements can Jen wear two socks?
7) If you are dealt 8 cards, how many different combinations of 3 cards can you have?
8) How many ways can you arrange the letters O R A N G E?
9) Ann has 7 cars. How many different ways can she arrange the parking of 3 of the cars?
10) If you are dealt 5 cards, how many different combinations of 2 cards can you have?
5/14/10
May 14th, 2010
LOG PROBLEM
1) 8!
2) How many ways can you arrange 5 socks out of a group of 8?
3) How many different groups of 5 socks can you have out of 8 socks?
WORD PROBLEMS
1) How many ways can you arrange the letters M A T H?
2)There are 34 students in Mr. Warner's class. If only 4 students can be chosen for student council, then how many different groups of students can be chosen?
3) Mike has 9 jelly beans. How many different arrangements can Mike eat 3 jelly beans?
4) There are 33 students in Miss Ruben's class. If only 3 students can be chosen to go get breakfast, then how many different groups of students can be chosen?
5) How many ways can you arrange the letters P R O B L E M?
6) Jenn has 10 socks. How many different arrangements can Jen wear two socks?
7) If you are dealt 10 cards, how many different combinations of 5 cards can you have?
8) How many ways can you arrange the letters C A L C U L A T E?
9) Ann has 6 cars. How many different ways can she arrange the parking of 4 of the cars?
10) If you are dealt 7 cards, how many different combinations of 4 cards can you have?
1) 8!
2) How many ways can you arrange 5 socks out of a group of 8?
3) How many different groups of 5 socks can you have out of 8 socks?
WORD PROBLEMS
1) How many ways can you arrange the letters M A T H?
2)There are 34 students in Mr. Warner's class. If only 4 students can be chosen for student council, then how many different groups of students can be chosen?
3) Mike has 9 jelly beans. How many different arrangements can Mike eat 3 jelly beans?
4) There are 33 students in Miss Ruben's class. If only 3 students can be chosen to go get breakfast, then how many different groups of students can be chosen?
5) How many ways can you arrange the letters P R O B L E M?
6) Jenn has 10 socks. How many different arrangements can Jen wear two socks?
7) If you are dealt 10 cards, how many different combinations of 5 cards can you have?
8) How many ways can you arrange the letters C A L C U L A T E?
9) Ann has 6 cars. How many different ways can she arrange the parking of 4 of the cars?
10) If you are dealt 7 cards, how many different combinations of 4 cards can you have?
5/7/10
May 7th, 2010
LOG PROBLEM
How many ways can the coach of the Phillies (Charlie Manuel) arrange the first three batters of his 9 person line-up? P (9, 3)
WORK TODAY
We completed a worksheet dealing with factorials and permutations.
We also worked on those types of problems on aaamath.com
How many ways can the coach of the Phillies (Charlie Manuel) arrange the first three batters of his 9 person line-up? P (9, 3)
WORK TODAY
We completed a worksheet dealing with factorials and permutations.
We also worked on those types of problems on aaamath.com
5/5/10
May 5th, 2010
LOG PROBLEM
If 5 out of 8 students completed the log problem correctly, how many students did NOT get the answer right out of 68 students?
WORK TODAY
1)If 2 out of 5 students completed the log problem correctly, how many students did NOT get the answer right out of 52 students?
2)If 12 out of 13 students completed the log problem correctly, how many students did NOT get the answer right out of 250 students?
3)If 10 out of 15 students completed the log problem correctly, how many students did NOT get the answer right out of 300 students?
Great Expectations Book
- Page 18: 2, 3a, 3b, 3c
- Page 19: 4a, 4b, 5, 6
If 5 out of 8 students completed the log problem correctly, how many students did NOT get the answer right out of 68 students?
WORK TODAY
1)If 2 out of 5 students completed the log problem correctly, how many students did NOT get the answer right out of 52 students?
2)If 12 out of 13 students completed the log problem correctly, how many students did NOT get the answer right out of 250 students?
3)If 10 out of 15 students completed the log problem correctly, how many students did NOT get the answer right out of 300 students?
Great Expectations Book
- Page 18: 2, 3a, 3b, 3c
- Page 19: 4a, 4b, 5, 6
5/4/10
May 4th, 2010
LOG PROBLEM
If 4 out of 7 students completed the log problem correctly, how many students did NOT get the answer right out of 42 students?
WORK TODAY
1. If 1 out of 8 people at a Flyers game buys a soda, how many sodas should the Wachovia Center expect to sell if the attendance is 21,000?
2. If 5 out of 9 people at the play Wicked buys a program, how many programs should the Kimmel Center expect to sell if the attendance is 900?
3. If 1 out of 14 people at a concert buys a nacho grande, how many nacho grandes should the Wachovia Center expect to sell if the attendance is 18,000?
4. If 3 out of 5 students completed the log problem correctly, how many students did NOT get the answer right out of 50 students?
5. If 5 out of 6 students completed the log problem correctly, how many students did NOT get the answer right out of 72 students?
Answers to May 3rd Problems
1) 560
2) 262,400
3) 206
4) 606,666
5) 625,000
6) 2,720,000,000
7)4930
8) 13
9) 1,152,000,000
"Great Expectations" Book
- Page 17: 1a and 1b
- Page 18: 2, 3a, 3b, 3c
- Page 19: 4a, 4b, 5, 6
HOMEWORK
If 7 out of 8 students passed the math quiz, how many students did NOT pass the quiz out of 48 students?
If 4 out of 7 students completed the log problem correctly, how many students did NOT get the answer right out of 42 students?
WORK TODAY
1. If 1 out of 8 people at a Flyers game buys a soda, how many sodas should the Wachovia Center expect to sell if the attendance is 21,000?
2. If 5 out of 9 people at the play Wicked buys a program, how many programs should the Kimmel Center expect to sell if the attendance is 900?
3. If 1 out of 14 people at a concert buys a nacho grande, how many nacho grandes should the Wachovia Center expect to sell if the attendance is 18,000?
4. If 3 out of 5 students completed the log problem correctly, how many students did NOT get the answer right out of 50 students?
5. If 5 out of 6 students completed the log problem correctly, how many students did NOT get the answer right out of 72 students?
Answers to May 3rd Problems
1) 560
2) 262,400
3) 206
4) 606,666
5) 625,000
6) 2,720,000,000
7)4930
8) 13
9) 1,152,000,000
"Great Expectations" Book
- Page 17: 1a and 1b
- Page 18: 2, 3a, 3b, 3c
- Page 19: 4a, 4b, 5, 6
HOMEWORK
If 7 out of 8 students passed the math quiz, how many students did NOT pass the quiz out of 48 students?
5/3/10
May 3rd, 2010
LOG PROBLEM
If a representative sample shows that 1 out of 3 people voted yes on the soda tax, then how many people voted yes out of 25,000 people?
WORK TODAY
1. If 7 out of 10 people surveyed at Wilson like strawberry ice cream, how many people like strawberry ice cream out of 800?
2. If 82 out of 100 people surveyed in Northeast Philadelphia like water ice, how many people like water ice out of 320,000?
3. If 21 out of 28 people surveyed in the 7th grade play basketball, how many 7th graders play basketball out of 275?
4. If 7 out of 15 people surveyed in Philadelphia like the pitching of Jamie Moyer, how many people like the pitching out of 1.3 million?
5. If 5out of 8 people surveyed in Philadelphia like the soccer team Philadelphia Union, how many people like the Union out of 1 million?
6. If 425 out of 1000 people surveyed in the world use plastic water bottles , how many people use plastic bottles in the world (World Population 6.4 billion)?
7. If 31 out of 50 people have visited the Philadelphia Art Museum, how many people HAVE NOT visited the museum in a group of 8,500?
8. If 4 out of 5 students in classes 706 and 707 enjoy using the blog instead copying problems, how many students DO NOT prefer the blog if there are 66 students in each class?
9. If 18 out of 100 people root for the Giants (boo) over the Eagles in Northeastern Pennsylvania, how many people root for the Giants in Pennsylvania if the population is 6.4 million?
If a representative sample shows that 1 out of 3 people voted yes on the soda tax, then how many people voted yes out of 25,000 people?
WORK TODAY
1. If 7 out of 10 people surveyed at Wilson like strawberry ice cream, how many people like strawberry ice cream out of 800?
2. If 82 out of 100 people surveyed in Northeast Philadelphia like water ice, how many people like water ice out of 320,000?
3. If 21 out of 28 people surveyed in the 7th grade play basketball, how many 7th graders play basketball out of 275?
4. If 7 out of 15 people surveyed in Philadelphia like the pitching of Jamie Moyer, how many people like the pitching out of 1.3 million?
5. If 5out of 8 people surveyed in Philadelphia like the soccer team Philadelphia Union, how many people like the Union out of 1 million?
6. If 425 out of 1000 people surveyed in the world use plastic water bottles , how many people use plastic bottles in the world (World Population 6.4 billion)?
7. If 31 out of 50 people have visited the Philadelphia Art Museum, how many people HAVE NOT visited the museum in a group of 8,500?
8. If 4 out of 5 students in classes 706 and 707 enjoy using the blog instead copying problems, how many students DO NOT prefer the blog if there are 66 students in each class?
9. If 18 out of 100 people root for the Giants (boo) over the Eagles in Northeastern Pennsylvania, how many people root for the Giants in Pennsylvania if the population is 6.4 million?
4/30/10
April 30th, 2010
LOG PROBLEM
If a representative sample of Wilson showed that 3 out of every 4 students exercise regularly, how many students exercise if there are 618 students total?
"Great Expectations" Book
Page 12 - 3a, 3b, 3c
Page 14 - 5
Page 15 - 6a, 6b, 6c
Page 16 - 8a, 8b
Answers to Wednesday's problems:
1) 324
2)38,880
3)100
4)625,000
5)933,333
6) 4,742,400,000
Today's Problems
1. If 9 out of 10 people surveyed at Wilson like vanilla ice cream, how many people like chocolate ice cream out of 700?
2. If 82 out of 100 people surveyed in Northeast Philadelphia like Pretzel Company, how many people like Pretzel Company out of 200,000?
3. If 19 out of 30 people surveyed in the 7th grade play video games, how many 7th graders play games out of 300?
4. If 7 out of 8 people surveyed in Philadelphia like the pitching of Roy Halladay, how many people like the pitching out of 1.1 million?
5. If 3 out of 8 people surveyed in Philadelphia like the Flyers, how many people like the Flyers out of 1.5 million?
6. If 352 out of 1000 people surveyed in the world use the internet, how many people use a car in the world (World Population 6.4 billion)?
7. If 41 out of 50 people use SEPTA in center city, how many people DO NOT use SEPTA if there are 75,000 people living in center city?
8. If 3 out of 5 students in classes 706 and 707 enjoy using the blog instead of the book, how many students DO NOT prefer the blog if there are 68 students in each class?
9. If 73 out of 100 people root for the Steelers (boo) over the Eagles in Pennsylvania, how many people root for the Eagles in Pennsylvania if the population is 6.4 million?
If a representative sample of Wilson showed that 3 out of every 4 students exercise regularly, how many students exercise if there are 618 students total?
"Great Expectations" Book
Page 12 - 3a, 3b, 3c
Page 14 - 5
Page 15 - 6a, 6b, 6c
Page 16 - 8a, 8b
Answers to Wednesday's problems:
1) 324
2)38,880
3)100
4)625,000
5)933,333
6) 4,742,400,000
Today's Problems
1. If 9 out of 10 people surveyed at Wilson like vanilla ice cream, how many people like chocolate ice cream out of 700?
2. If 82 out of 100 people surveyed in Northeast Philadelphia like Pretzel Company, how many people like Pretzel Company out of 200,000?
3. If 19 out of 30 people surveyed in the 7th grade play video games, how many 7th graders play games out of 300?
4. If 7 out of 8 people surveyed in Philadelphia like the pitching of Roy Halladay, how many people like the pitching out of 1.1 million?
5. If 3 out of 8 people surveyed in Philadelphia like the Flyers, how many people like the Flyers out of 1.5 million?
6. If 352 out of 1000 people surveyed in the world use the internet, how many people use a car in the world (World Population 6.4 billion)?
7. If 41 out of 50 people use SEPTA in center city, how many people DO NOT use SEPTA if there are 75,000 people living in center city?
8. If 3 out of 5 students in classes 706 and 707 enjoy using the blog instead of the book, how many students DO NOT prefer the blog if there are 68 students in each class?
9. If 73 out of 100 people root for the Steelers (boo) over the Eagles in Pennsylvania, how many people root for the Eagles in Pennsylvania if the population is 6.4 million?
4/29/10
April 29th, 2010
LOG PROBLEM
8 out of 13 people say they are in favor of the soda tax. If this group is a representative sample, then how many people are in favor of the tax out of 1.5 million?
HOMEWORK PROBLEM
If 2 out of 5 people surveyed in Philadelphia like the Sixers, how many people like the Sixers out of 1.5 million?
8 out of 13 people say they are in favor of the soda tax. If this group is a representative sample, then how many people are in favor of the tax out of 1.5 million?
HOMEWORK PROBLEM
If 2 out of 5 people surveyed in Philadelphia like the Sixers, how many people like the Sixers out of 1.5 million?
4/28/10
April 28th, 2010
LOG PROBLEM
Solve
6!
WORK TODAY
1. If 6 out of 10 people surveyed at Wilson like chocolate ice cream, how many people like chocolate ice cream out of 540?
2. If 72 out of 100 people surveyed in Northeast Philadelphia like Rita’s, how many people like Rita’s out of 54000?
3. If 8 out of 20 people surveyed in the 7th grade play baseball, how many 7th graders play baseball out of 250?
4. If 5 out of 8 people surveyed in Philadelphia like Ryan Howard’s new contract, how many people like the contract out of 1 million?
5. If 7 out of 9 people surveyed in Philadelphia like the Eagles, how many people like the Eagles out of 1.2 million?
6. If 741 out of 1000 people surveyed in the world use a car, how many people use a car in the world (World Population 6.4 billion)?
Solve
6!
WORK TODAY
1. If 6 out of 10 people surveyed at Wilson like chocolate ice cream, how many people like chocolate ice cream out of 540?
2. If 72 out of 100 people surveyed in Northeast Philadelphia like Rita’s, how many people like Rita’s out of 54000?
3. If 8 out of 20 people surveyed in the 7th grade play baseball, how many 7th graders play baseball out of 250?
4. If 5 out of 8 people surveyed in Philadelphia like Ryan Howard’s new contract, how many people like the contract out of 1 million?
5. If 7 out of 9 people surveyed in Philadelphia like the Eagles, how many people like the Eagles out of 1.2 million?
6. If 741 out of 1000 people surveyed in the world use a car, how many people use a car in the world (World Population 6.4 billion)?
4/27/10
April 27th, 2010
LOG PROBLEM
What is the probability of rolling an odd number on a die twice in a row?
HOMEWORK PROBLEM
If 7 out of 10 people surveyed at Wilson like ice cream, how many people like ice cream out of 540?
What is the probability of rolling an odd number on a die twice in a row?
HOMEWORK PROBLEM
If 7 out of 10 people surveyed at Wilson like ice cream, how many people like ice cream out of 540?
4/26/10
April 26th, 2010
ANNOUNCEMENT
Quiz tomorrow on Probability Problems
LOG PROBLEM
If there is a raffle for the class, and each person gets two tickets, what is the probability that you will win the raffle?
Probability Quiz Practice!
1 There are 140 marbles in a bag and 35 of them are green. If
one marble is chosen, what is the probability that it will be
green?
2 A jar contains 5 red, 27 blue, 32 orange, and 49 pink
marbles. A marble is drawn at random. What is the probability that the marble will be pink?
3 A jar contains 48 black, 23 blue, 76 yellow, and 14 green
marbles. A marble is drawn at random. What is the probability that the marble will not be green.
4 A jar contains 19 orange and 25 white marbles. A marble is
drawn at random. What is the probability that the marble will be white.
5 A number from 12 to 20 is drawn at random. What is the probability that the number will have a two in it?
6 You roll a die numbered from 1 to 6.
What is the probability that the number will be an odd number ≥ 2?
7 A number from 55 to 75 is drawn at random.
What is the probability that the number is divisible by 5?
8 What is the probability of flipping a coin “heads” two times in a row?
9 What is the probability of flipping a coin “tails” three times in a row?
10 What is the probability of rolling a die “5” two times in a row?
HOMEWORK
1 There are 140 marbles in a bag and 35 of them are green. If
one marble is chosen, what is the probability that it will be a color other than
green?
2 A jar contains 5 red, 27 blue, 32 orange, and 49 pink
marbles. A marble is drawn at random. What is the probability that the marble will be pink?
3 What is the probability of flipping a coin “heads” four times in a row?
Quiz tomorrow on Probability Problems
LOG PROBLEM
If there is a raffle for the class, and each person gets two tickets, what is the probability that you will win the raffle?
Probability Quiz Practice!
1 There are 140 marbles in a bag and 35 of them are green. If
one marble is chosen, what is the probability that it will be
green?
2 A jar contains 5 red, 27 blue, 32 orange, and 49 pink
marbles. A marble is drawn at random. What is the probability that the marble will be pink?
3 A jar contains 48 black, 23 blue, 76 yellow, and 14 green
marbles. A marble is drawn at random. What is the probability that the marble will not be green.
4 A jar contains 19 orange and 25 white marbles. A marble is
drawn at random. What is the probability that the marble will be white.
5 A number from 12 to 20 is drawn at random. What is the probability that the number will have a two in it?
6 You roll a die numbered from 1 to 6.
What is the probability that the number will be an odd number ≥ 2?
7 A number from 55 to 75 is drawn at random.
What is the probability that the number is divisible by 5?
8 What is the probability of flipping a coin “heads” two times in a row?
9 What is the probability of flipping a coin “tails” three times in a row?
10 What is the probability of rolling a die “5” two times in a row?
HOMEWORK
1 There are 140 marbles in a bag and 35 of them are green. If
one marble is chosen, what is the probability that it will be a color other than
green?
2 A jar contains 5 red, 27 blue, 32 orange, and 49 pink
marbles. A marble is drawn at random. What is the probability that the marble will be pink?
3 What is the probability of flipping a coin “heads” four times in a row?
4/23/10
April 23rd, 2010
LOG PROBLEM
What is the probability of flipping a heads, then a tails, then a heads in that order?
WORK TODAY
Link
http://www.mrmaisonet.com/Menu_Pages/Permutations.html
What is the probability of flipping a heads, then a tails, then a heads in that order?
WORK TODAY
Link
http://www.mrmaisonet.com/Menu_Pages/Permutations.html
4/22/10
April 22nd, 2010
WORK TODAY
We completed Section C in our "Great Expectations" book.
HOMEWORK
Complete the following problem: If 22 people like chocolate out of 40 people, how many people like chocolate out of 600?
We completed Section C in our "Great Expectations" book.
HOMEWORK
Complete the following problem: If 22 people like chocolate out of 40 people, how many people like chocolate out of 600?
4/20/10
April 20th, 2010
1. The probability of selecting a boy 11/22, so P = 0.5.
2.
a) The probability of taking a blue one is 12/30, so P = 0.4
b) The probability of taking a red one is 7/30, so P = 0.23.
c) The probability of taking a gray one is 5/29, so P = 0.17.
3. She should take a candy from bag B, because P (A) = 0.67 < P (B) = 0.78.
4.
a) The probability that the student had a dog is 9/21, so P = 0.43.
b) The probability that the student had at least a cat is 8/20, so P = 0.4.
5. The probability that the student was under twelve was 25/25, so P = 1.
6. The probability of listening to a ballad is 8/12, so P = 0.67.
HOMEWORK
What is the probability of flipping a coin "heads" three times in a row?
2.
a) The probability of taking a blue one is 12/30, so P = 0.4
b) The probability of taking a red one is 7/30, so P = 0.23.
c) The probability of taking a gray one is 5/29, so P = 0.17.
3. She should take a candy from bag B, because P (A) = 0.67 < P (B) = 0.78.
4.
a) The probability that the student had a dog is 9/21, so P = 0.43.
b) The probability that the student had at least a cat is 8/20, so P = 0.4.
5. The probability that the student was under twelve was 25/25, so P = 1.
6. The probability of listening to a ballad is 8/12, so P = 0.67.
HOMEWORK
What is the probability of flipping a coin "heads" three times in a row?
4/19/10
April 19th, 2010
WORK TODAY
1- A student had to be chosen from Ann’s class. There were 11 boys and 11 girls in total
in her class. The teacher wrote their names on separate pieces of paper, and then took
out one of the papers without looking. What is the probability of selecting a boy?
2- Thomas had a bag with 30 marbles: 12 blue, 7 red, 5 white and the rest were gray.
a) He took a marble. What is the probability that it is a blue marble?
b) If he puts the marble back and takes another one, what is the probability of
taking a red one?
c) Thomas took a grey marble and didn’t put it back. What is the probability of
taking another grey marble immediately after that?
HOMEWORK
Do the log problem, except this time calculate the probability of picking a red marble.
3- Julie was given two bags full of goodies. There were 10 chocolate bars and 5 mint
candies in bag A. There were 7 chocolate bars and 2 strawberry mini-pies in bag B.
She wanted to eat a chocolate bar. From which bag should she take the candy (so that
the probability of taking a chocolate bar was greater)?
4- Mike’s class made a project about pets. There were 21 students in his class. Nine had
dogs, five had only cats, three had cats and hamsters and the rest had no pets at all.
They randomly picked out a name.
a) What was the probability that that student had a dog?
b) It turned out the student didn’t have any pets. They randomly picked out a
second name (excluding the first chosen). What was the probability that that
student had at least a cat?
5- Mr. Johnson taught a music class for 25 students under the age of ten. He randomly
chose one of them. What was the probability that the student was under twelve?
6- The compact disk Jane bought had 12 songs. The first four were rock music. Tracks
number 5 through 12 were ballads. She selected the random function in her Compact
Disk Player. What is the probability of first listening to a ballad?
1- A student had to be chosen from Ann’s class. There were 11 boys and 11 girls in total
in her class. The teacher wrote their names on separate pieces of paper, and then took
out one of the papers without looking. What is the probability of selecting a boy?
2- Thomas had a bag with 30 marbles: 12 blue, 7 red, 5 white and the rest were gray.
a) He took a marble. What is the probability that it is a blue marble?
b) If he puts the marble back and takes another one, what is the probability of
taking a red one?
c) Thomas took a grey marble and didn’t put it back. What is the probability of
taking another grey marble immediately after that?
HOMEWORK
Do the log problem, except this time calculate the probability of picking a red marble.
3- Julie was given two bags full of goodies. There were 10 chocolate bars and 5 mint
candies in bag A. There were 7 chocolate bars and 2 strawberry mini-pies in bag B.
She wanted to eat a chocolate bar. From which bag should she take the candy (so that
the probability of taking a chocolate bar was greater)?
4- Mike’s class made a project about pets. There were 21 students in his class. Nine had
dogs, five had only cats, three had cats and hamsters and the rest had no pets at all.
They randomly picked out a name.
a) What was the probability that that student had a dog?
b) It turned out the student didn’t have any pets. They randomly picked out a
second name (excluding the first chosen). What was the probability that that
student had at least a cat?
5- Mr. Johnson taught a music class for 25 students under the age of ten. He randomly
chose one of them. What was the probability that the student was under twelve?
6- The compact disk Jane bought had 12 songs. The first four were rock music. Tracks
number 5 through 12 were ballads. She selected the random function in her Compact
Disk Player. What is the probability of first listening to a ballad?
4/6/10
3/25/10
March 25th, 2010
LOG PROBLEM
What is 60% of 0.94?
WORK TODAY
We went over the Benchmark Test results today.
HOMEWORK
Look at your Benchmark Test and mark any questions that you had problems with.
What is 60% of 0.94?
WORK TODAY
We went over the Benchmark Test results today.
HOMEWORK
Look at your Benchmark Test and mark any questions that you had problems with.
3/24/10
March 24th, 2010
LOG PROBLEM
What is 6 and ½ divided by 1 and ¼ ?
WORK TODAY
We took a quiz on dividing mixed numbers today.
HOMEWORK
As a result of our success on the Math Benchmark, we will not have homework tonight in math. Great job!
What is 6 and ½ divided by 1 and ¼ ?
WORK TODAY
We took a quiz on dividing mixed numbers today.
HOMEWORK
As a result of our success on the Math Benchmark, we will not have homework tonight in math. Great job!
March 23rd, 2010
LOG PROBLEM
If you had a piece of string that was 8 and ¼ inches, and you divided it into pieces that were 2 and ½ inches, how many pieces would you have?
WORK TODAY
We practiced dividing mixed numbers today in order to be prepared for our quiz tomorrow.
HOMEWORK
Complete the four mixed number division problems copied at the end of class today.
If you had a piece of string that was 8 and ¼ inches, and you divided it into pieces that were 2 and ½ inches, how many pieces would you have?
WORK TODAY
We practiced dividing mixed numbers today in order to be prepared for our quiz tomorrow.
HOMEWORK
Complete the four mixed number division problems copied at the end of class today.
3/22/10
March 22nd, 2010
ANNOUNCEMENT
Quiz on dividing mixed numbers on Wednesday!
LOG PROBLEM
What is 5 and ½ divided by 1 and ½ ?
WORK TODAY
We worked on a Constructed Response item along with every 7th grade math class at Wilson today in order to prepare for the PSSA.
HOMEWORK
Complete the four mixed number division problems copied at the end of class today.
Quiz on dividing mixed numbers on Wednesday!
LOG PROBLEM
What is 5 and ½ divided by 1 and ½ ?
WORK TODAY
We worked on a Constructed Response item along with every 7th grade math class at Wilson today in order to prepare for the PSSA.
HOMEWORK
Complete the four mixed number division problems copied at the end of class today.
3/12/10
March 12th, 2010
LOG PROBLEM
If you had a bag with 2 green marbles, 3 blue marbles, and 4 black marbles, what is the probability of picking out a blue marble? Write it as a ratio and then convert it into a percent.
What is the probability of picking a blue marble twice in a row (you put the marble back after picking)?
If you had a bag with 2 green marbles, 3 blue marbles, and 4 black marbles, what is the probability of picking out a blue marble? Write it as a ratio and then convert it into a percent.
What is the probability of picking a blue marble twice in a row (you put the marble back after picking)?
3/11/10
March 11th, 2010
LOG PROBLEM
If I had a piece of string that was 8 meters long, how many pieces would I have if I divided them into pieces that were 2/5 of a meter?
CONSTRUCTED RESPONSE
1a. Tom has 3 pair of blue socks, 5 pair of white socks, 3 pair of black socks and 1 pair of green socks. What is the ratio of white socks to all of the socks? Remember to draw a diagram and explain.
1b. What percent of the socks are white?
1c. If we add one pair of brown socks, what is the ratio of white socks to all the socks?
1d. What percent of the socks are white after we add the brown socks?
HOMEWORK
Make sure all problems from the Fraction Division handout are completed for tomorrow.
If I had a piece of string that was 8 meters long, how many pieces would I have if I divided them into pieces that were 2/5 of a meter?
CONSTRUCTED RESPONSE
1a. Tom has 3 pair of blue socks, 5 pair of white socks, 3 pair of black socks and 1 pair of green socks. What is the ratio of white socks to all of the socks? Remember to draw a diagram and explain.
1b. What percent of the socks are white?
1c. If we add one pair of brown socks, what is the ratio of white socks to all the socks?
1d. What percent of the socks are white after we add the brown socks?
HOMEWORK
Make sure all problems from the Fraction Division handout are completed for tomorrow.
3/9/10
March 9th, 2010
LOG PROBLEM
A student got 8 out of 9 questions correct on a quiz. What is the student’s grade as a decimal and a percent?
WORK TODAY
We continued our work involving division of fractions.
HOMEWORK
Complete the four fraction division problems copied at the end of class today.
A student got 8 out of 9 questions correct on a quiz. What is the student’s grade as a decimal and a percent?
WORK TODAY
We continued our work involving division of fractions.
HOMEWORK
Complete the four fraction division problems copied at the end of class today.
3/8/10
March 8th, 2010
LOG PROBLEM
A student got 7 out of 8 questions correct on a quiz. What is the student’s grade as a decimal and a percent?
ANSWER
7/8 = 0.875 = 87.5%
PRACTICE PROBLEMS
a)5 divided by ½
5/1 x 2/1
10/1
10
b) 2 and ½ divided by ¼
3/2 divided by 1/4
3/2 x 4/1
12/2
6
WORK TODAY
We completed fraction division problems on aaamath.com
HOMEWORK
Complete the four fraction division problems copied at the end of class today.
A student got 7 out of 8 questions correct on a quiz. What is the student’s grade as a decimal and a percent?
ANSWER
7/8 = 0.875 = 87.5%
PRACTICE PROBLEMS
a)5 divided by ½
5/1 x 2/1
10/1
10
b) 2 and ½ divided by ¼
3/2 divided by 1/4
3/2 x 4/1
12/2
6
WORK TODAY
We completed fraction division problems on aaamath.com
HOMEWORK
Complete the four fraction division problems copied at the end of class today.
3/5/10
March 5th, 2010
LOG PROBLEM
If your car can drive 9 and 3/4 miles on a gallon of gas, how far can it drive on 7 gallons?
WORK TODAY
We will practice multiplying mixed numbers and fractions. We will then take a short quiz.
If your car can drive 9 and 3/4 miles on a gallon of gas, how far can it drive on 7 gallons?
WORK TODAY
We will practice multiplying mixed numbers and fractions. We will then take a short quiz.
3/4/10
March 4th, 2010
LOG PROBLEM
A gallon of gas will allow you to drive 8 and 1/2 miles. How many miles can you drive on 9 gallons of gas?
WORK TODAY
We will continue to multiply mixed numbers WITHOUT CALCULATORS.
HOMEWORK
Complete the two division problems involving mixed numbers that were copied at the end of class today.
A gallon of gas will allow you to drive 8 and 1/2 miles. How many miles can you drive on 9 gallons of gas?
WORK TODAY
We will continue to multiply mixed numbers WITHOUT CALCULATORS.
HOMEWORK
Complete the two division problems involving mixed numbers that were copied at the end of class today.
3/3/10
March 3rd, 2010
LOG PROBLEM
What is the probability that you will roll an even number when rolling a die?
What is the probability that you will roll two even numbers in a row when rolling dice?
WORK TODAY
We will continue multiplying fractions and mixed numbers.
HOMEWORK
Complete the two fraction division problems copied at the end of class today.
What is the probability that you will roll an even number when rolling a die?
What is the probability that you will roll two even numbers in a row when rolling dice?
WORK TODAY
We will continue multiplying fractions and mixed numbers.
HOMEWORK
Complete the two fraction division problems copied at the end of class today.
March 2nd, 2010
LOG PROBLEM
What is the probability (or chance) that you will get a “4” when rolling a die?
What is the probability (or chance) that you will get 2 "4’s" in a row when rolling dice?
WORK TODAY
We multiplied fractions and mixed numbers.
HOMEWORK
Complete the two problems that we copied at the end of the period.
What is the probability (or chance) that you will get a “4” when rolling a die?
What is the probability (or chance) that you will get 2 "4’s" in a row when rolling dice?
WORK TODAY
We multiplied fractions and mixed numbers.
HOMEWORK
Complete the two problems that we copied at the end of the period.
3/1/10
March 1st, 2010
LOG PROBLEM
What is the probability (or chance) that you will get a "heads" when flipping a coin? What is the probability (or chance) that you will get 2 "heads" in a row when flipping a coin twice?
WORK TODAY
We will be multiplying and dividing fractions.
HOMEWORK
Complete the four problems that were copied at the end of class today.
HOMEWORK
Hom
What is the probability (or chance) that you will get a "heads" when flipping a coin? What is the probability (or chance) that you will get 2 "heads" in a row when flipping a coin twice?
WORK TODAY
We will be multiplying and dividing fractions.
HOMEWORK
Complete the four problems that were copied at the end of class today.
HOMEWORK
Hom
2/24/10
February 24th, 2010
QUIZ TODAY!
HOMEWORK
Make sure you have all problems on pages 10-14 completed in your Ratios and Rates Book.
HOMEWORK
Make sure you have all problems on pages 10-14 completed in your Ratios and Rates Book.
2/23/10
February 23rd, 2010
ANNOUNCEMENT - QUIZ TOMORROW ON PROPORTIONS AND CONVERTING UNITS
WORK TODAY
CONVERTING UNITS
1) 50 m = ?cm
2) 60 oz = ?lb
3) 15 in = ? ft
4) 140 min = ?hr
5) 6200 m = ? km
Information you need:
100cm = 1m
16oz = 1 lb
12in = 1ft
60min = 1hr
1000m = 1km
PROPORTION WORD PROBLEMS
1) If you can buy one can of pineapple chunks
for $2 then how many can you buy with
$10?
2) One jar of crushed ginger costs $2. How
many jars can you buy for $4?
3) One cantaloupe costs $2. How many
cantaloupes can you buy for $6?
4) One package of blueberries costs $3. How
many packages of blueberries can you buy
for $9?
5) Shawna reduced the size of a rectangle to a
height of 2 in. What is the new width if it
was originally 24 in wide and 12 in tall?
6) Ming was planning a trip to Western Samoa.
Before going, she did some research and
learned that the exchange rate is 6 Tala for
$2. How many Tala would she get if she
exchanged $6?
7) Jasmine bought 32 kiwi fruit for $16. How
many kiwi can Lisa buy if she has $4?
8) If you can buy four bulbs of elephant garlic
for $8 then how many can you buy with
$32?
9) One bunch of seedlees black grapes costs
$2. How many bunches can you buy for
$20?
10) The money used in Jordan is called the
Dinar. The exchange rate is $3 to 2 Dinars.
Find how many dollars you would receive if
you exchanged 22 Dinars.
11) Gabriella bought three cantaloupes for $7.
How many cantaloupes can Shayna buy if
she has $21?
12) Jenny was planning a trip to the United Arab
Emirates. Before going, she did some
research and learned that the exchange rate
is 4 Dirhams for every $1. How many
Dirhams would she get if she exchanged $5?
13) Castel bought four bunches of fennel for $9.
How many bunches of fennel can Mofor buy
if he has $18?
14) If you can buy one fruit basket for $30 then
how many can you buy with $60?
15) Asanji took a trip to Mexico. Upon leaving
he decided to convert all of his Pesos back
into dollars. How many dollars did he
receive if he exchanged 42.7 Pesos at a rate
of $5.30 = 11.1 Pesos?
16) The currency in Argentina is the Peso. The
exchange rate is approximately $3 = 1 Peso.
At this rate, how many Pesos would you get
if you exchanged $121.10?
17) Mary reduced the size of a painting to a
width of 3.3 in. What is the new height if it
was originally 32.5 in tall and 42.9 in wide?
18) Molly bought two heads of cabbage for
$1.80. How many heads of cabbage can
Willie buy if he has $28.80?
HOMEWORK
Finish Proportion Word Problems and STUDY FOR QUIZ!
WORK TODAY
CONVERTING UNITS
1) 50 m = ?cm
2) 60 oz = ?lb
3) 15 in = ? ft
4) 140 min = ?hr
5) 6200 m = ? km
Information you need:
100cm = 1m
16oz = 1 lb
12in = 1ft
60min = 1hr
1000m = 1km
PROPORTION WORD PROBLEMS
1) If you can buy one can of pineapple chunks
for $2 then how many can you buy with
$10?
2) One jar of crushed ginger costs $2. How
many jars can you buy for $4?
3) One cantaloupe costs $2. How many
cantaloupes can you buy for $6?
4) One package of blueberries costs $3. How
many packages of blueberries can you buy
for $9?
5) Shawna reduced the size of a rectangle to a
height of 2 in. What is the new width if it
was originally 24 in wide and 12 in tall?
6) Ming was planning a trip to Western Samoa.
Before going, she did some research and
learned that the exchange rate is 6 Tala for
$2. How many Tala would she get if she
exchanged $6?
7) Jasmine bought 32 kiwi fruit for $16. How
many kiwi can Lisa buy if she has $4?
8) If you can buy four bulbs of elephant garlic
for $8 then how many can you buy with
$32?
9) One bunch of seedlees black grapes costs
$2. How many bunches can you buy for
$20?
10) The money used in Jordan is called the
Dinar. The exchange rate is $3 to 2 Dinars.
Find how many dollars you would receive if
you exchanged 22 Dinars.
11) Gabriella bought three cantaloupes for $7.
How many cantaloupes can Shayna buy if
she has $21?
12) Jenny was planning a trip to the United Arab
Emirates. Before going, she did some
research and learned that the exchange rate
is 4 Dirhams for every $1. How many
Dirhams would she get if she exchanged $5?
13) Castel bought four bunches of fennel for $9.
How many bunches of fennel can Mofor buy
if he has $18?
14) If you can buy one fruit basket for $30 then
how many can you buy with $60?
15) Asanji took a trip to Mexico. Upon leaving
he decided to convert all of his Pesos back
into dollars. How many dollars did he
receive if he exchanged 42.7 Pesos at a rate
of $5.30 = 11.1 Pesos?
16) The currency in Argentina is the Peso. The
exchange rate is approximately $3 = 1 Peso.
At this rate, how many Pesos would you get
if you exchanged $121.10?
17) Mary reduced the size of a painting to a
width of 3.3 in. What is the new height if it
was originally 32.5 in tall and 42.9 in wide?
18) Molly bought two heads of cabbage for
$1.80. How many heads of cabbage can
Willie buy if he has $28.80?
HOMEWORK
Finish Proportion Word Problems and STUDY FOR QUIZ!
2/21/10
February 22nd, 2010
ANNOUNCEMENT: QUIZ WEDNESDAY ON PROPORTIONS AND CONVERTING UNITS.
LOG PROBLEM
If you can drive 124 miles in 2 hours, how far can you drive in 7 hours? How far is that in kilometers? (1.61 kilometers = 1 mile)
WORK TODAY
We will be working on calculating ratios. We will also be defining absolute comparisons and relative comparisons.
ANSWERS to Rates and Ratios Problems
Page 9
People per telephone
37.98076923
76.92307692
1.699346405
20
1.301020408
1.89869281
130.979021
2.201754386
1.610526316
5.882352941
45.86206897
7.644067797
268.75
1.300147856
Telephones per person
0.026329114
0.013
0.588461538
0.05
0.768627451
0.526678141
0.00763481
0.454183267
0.620915033
0.17
0.021804511
0.130820399
0.00372093
0.76914329
Page 10
2a) United States and Finland rely on the telephone the most. They have the largest number of telephones per person. (They have the smallest number of people per telephone.)
2b) Sudan relies on telephones the least. They have the smallest amount of telephones per person. (They have the largest number of people per telephone.)
3a) People per telephone
4) France has way more telephones than the Solomon Islands.
Page 11
5a) China has more telephones.
5b) You would wait in a longer line in China because there are way less telephones per person in China.
6) The RELATIVE COMPARISON gives a much better picture because it includes people in the measurement of how many telephones there are in the country.
7) An absolute comparison would be useful for finding out how much of something a group of people use. A relative comparison would be useful for finding out how much of something an individual person uses.
HOMEWORK
Complete pages 9-11 in your Ratios and Rates Book.
LOG PROBLEM
If you can drive 124 miles in 2 hours, how far can you drive in 7 hours? How far is that in kilometers? (1.61 kilometers = 1 mile)
WORK TODAY
We will be working on calculating ratios. We will also be defining absolute comparisons and relative comparisons.
ANSWERS to Rates and Ratios Problems
Page 9
People per telephone
37.98076923
76.92307692
1.699346405
20
1.301020408
1.89869281
130.979021
2.201754386
1.610526316
5.882352941
45.86206897
7.644067797
268.75
1.300147856
Telephones per person
0.026329114
0.013
0.588461538
0.05
0.768627451
0.526678141
0.00763481
0.454183267
0.620915033
0.17
0.021804511
0.130820399
0.00372093
0.76914329
Page 10
2a) United States and Finland rely on the telephone the most. They have the largest number of telephones per person. (They have the smallest number of people per telephone.)
2b) Sudan relies on telephones the least. They have the smallest amount of telephones per person. (They have the largest number of people per telephone.)
3a) People per telephone
4) France has way more telephones than the Solomon Islands.
Page 11
5a) China has more telephones.
5b) You would wait in a longer line in China because there are way less telephones per person in China.
6) The RELATIVE COMPARISON gives a much better picture because it includes people in the measurement of how many telephones there are in the country.
7) An absolute comparison would be useful for finding out how much of something a group of people use. A relative comparison would be useful for finding out how much of something an individual person uses.
HOMEWORK
Complete pages 9-11 in your Ratios and Rates Book.
2/19/10
February 19th, 2010
LOG PROBLEM
2 pounds of turkey costs 6 dollars. What is the unit price? How much does 4 and 1/2 pounds cost?
WORK TODAY
We will work on the following problems from our Ratios and Rates Books:
a. Page 5- problems 8, 9a, 9b, 10
b. Page 7 – problems 11 and 12
c. Page 8 – problems 13a, 13b, 14 (all of them), 16
Answers for SHOWN WORK
PAGE 5
8) 50 mi/2.5 gal =20 miles per gallon
PAGE 6
9a) Arnold multiplied by 10.
9b) Arnold’s gas mileage 203 mi/8.75 gal =23.2 miles per gallon
10) Sheena’s gas mileage 81.2 mi/3.75 gal =21.65 miles per gallon
Compare the two rates
PAGE 7
11) Tom multiplied 10 gallons by 21 miles per gallon to get 210 miles.
Cathy divided 213.3 miles by 10.5 gallons to get 20.31 miles per gallon.
12)
Miles traveled = 46,404.9 mi – 46,260.6 mi =144.3
Gas used = 10.5 gal – 6.1 gal =4.4
Gas mileage =32.8 miles per gallon
PAGE 8
13a) 38 people/16 cars =2.375 people per car
13b)320 students/9 classes =35.55 students per class
16)Recommended: 4 plants/1 m
1st Row 30 plants/7.3 m =4.11 plants per meter
2nd Row 9 plants/2.6 m =3.46 plants per meter
2 pounds of turkey costs 6 dollars. What is the unit price? How much does 4 and 1/2 pounds cost?
WORK TODAY
We will work on the following problems from our Ratios and Rates Books:
a. Page 5- problems 8, 9a, 9b, 10
b. Page 7 – problems 11 and 12
c. Page 8 – problems 13a, 13b, 14 (all of them), 16
Answers for SHOWN WORK
PAGE 5
8) 50 mi/2.5 gal =20 miles per gallon
PAGE 6
9a) Arnold multiplied by 10.
9b) Arnold’s gas mileage 203 mi/8.75 gal =23.2 miles per gallon
10) Sheena’s gas mileage 81.2 mi/3.75 gal =21.65 miles per gallon
Compare the two rates
PAGE 7
11) Tom multiplied 10 gallons by 21 miles per gallon to get 210 miles.
Cathy divided 213.3 miles by 10.5 gallons to get 20.31 miles per gallon.
12)
Miles traveled = 46,404.9 mi – 46,260.6 mi =144.3
Gas used = 10.5 gal – 6.1 gal =4.4
Gas mileage =32.8 miles per gallon
PAGE 8
13a) 38 people/16 cars =2.375 people per car
13b)320 students/9 classes =35.55 students per class
16)Recommended: 4 plants/1 m
1st Row 30 plants/7.3 m =4.11 plants per meter
2nd Row 9 plants/2.6 m =3.46 plants per meter
February 18th, 2010
WORK TODAY
We converted units by cross-multiplying proportions.
HOMEWORK
1) 25 oz = ? lb
2) 2,000 mL = ? L
3) 19 gal = ? qt
1lb = 16 oz
1000mL = 1 L
1 gal = 4 qt
We converted units by cross-multiplying proportions.
HOMEWORK
1) 25 oz = ? lb
2) 2,000 mL = ? L
3) 19 gal = ? qt
1lb = 16 oz
1000mL = 1 L
1 gal = 4 qt
2/17/10
February 17th, 2010
LOG PROBLEM
How many centimeters are in 20 meters?
WORK TODAY
1. We worked on a PSSA Constructed Response Question.
HOMEWORK
Complete the following conversions by using proportions and cross multiplication.
1) 32 oz = ? lb
2) 200 mL = ? L
3) 5 gal = ? qt
Information you will need:
1lb = 16 oz
1000mL = 1 L
1 gal = 4 qt
How many centimeters are in 20 meters?
WORK TODAY
1. We worked on a PSSA Constructed Response Question.
HOMEWORK
Complete the following conversions by using proportions and cross multiplication.
1) 32 oz = ? lb
2) 200 mL = ? L
3) 5 gal = ? qt
Information you will need:
1lb = 16 oz
1000mL = 1 L
1 gal = 4 qt
2/16/10
February 16th, 2010
LOG PROBLEM
If you can run 5 kilometers in 3 hours, how many kilometers can you run in 4 hours?
WORK TODAY
We will convert units by cross multiplying proportions.
HOMEWORK
1) 50 oz = ? lb
2) 4,000 mL = ? L
3) 9 gal = ? qt
Information you will need:
1lb = 16 oz
1000mL = 1 L
1 gal = 4 qt
If you can run 5 kilometers in 3 hours, how many kilometers can you run in 4 hours?
WORK TODAY
We will convert units by cross multiplying proportions.
HOMEWORK
1) 50 oz = ? lb
2) 4,000 mL = ? L
3) 9 gal = ? qt
Information you will need:
1lb = 16 oz
1000mL = 1 L
1 gal = 4 qt
2/9/10
February 9th, 2010
LOG PROBLEM
If 10 inches of snow produces 4 inches of water, then how much water will be produced from 16 inches?
WORK TODAY
We converted metric units by using cross multiplication of proportions.
HOMEWORK
No homework due to class-wide homework pass given for cross-multiplication contest. Great Job!
If 10 inches of snow produces 4 inches of water, then how much water will be produced from 16 inches?
WORK TODAY
We converted metric units by using cross multiplication of proportions.
HOMEWORK
No homework due to class-wide homework pass given for cross-multiplication contest. Great Job!
2/4/10
February 4th, 2010
PSSA CONSTRUCTIVE RESPONSE TODAY!
HOMEWORK
Make sure you have pages 41-43 of your Procedural Fluency Workbook completed.
HOMEWORK
Make sure you have pages 41-43 of your Procedural Fluency Workbook completed.
2/3/10
February 3rd, 2010
LOG PROBLEMS
1. What are the differences between perimeter, area, and volume?
2. What is the volume of a cube that has a side that measures 1 centimeter long?
WORK TODAY
We converted units of measurements by using proportions.
HOMEWORK
Page 41-42 of Procedural Fluency Workbook
1. What are the differences between perimeter, area, and volume?
2. What is the volume of a cube that has a side that measures 1 centimeter long?
WORK TODAY
We converted units of measurements by using proportions.
HOMEWORK
Page 41-42 of Procedural Fluency Workbook
2/2/10
February 2nd, 2010
LOG PROBLEM - February 2nd
What is the volume of a rectangular prism that has a length of 3 and 1/2 cm, 4 and 1/4 cm, and 5 and 3/4 cm?
WORK TODAY
We completed a set of problems where students calculated the volume of rectangular prisms while using a formula.
HOMEWORK
Finish worksheet handed out in class today.
What is the volume of a rectangular prism that has a length of 3 and 1/2 cm, 4 and 1/4 cm, and 5 and 3/4 cm?
WORK TODAY
We completed a set of problems where students calculated the volume of rectangular prisms while using a formula.
HOMEWORK
Finish worksheet handed out in class today.
2/1/10
February, 1st 2010
LOG PROBLEM
What is the total surface area of a rectangular cube where one side has a length of 2 cm, another side has a length of 3 cm, and another side has a length of 4 cm? Try to draw it.
WORK TODAY
Volume Project:
1. Assemble a rectangular cube.
2. Measure the length, width, and height of the cube.
3. Use the formula for volume to calculate the amount of cubic centimeters in your cube. (Volume = length x width x height)
4. Disassemble your cube and check your formula answer by counting the number of cubes.
HOMEWORK
Calculate the volume of the cubes with the following dimensions:
1) w= 4 in, h = 6in, l = 3 in
2) w= 14 in, h = 26in, l = 33 in
3) w= 3.2 in, h = 7.4in, l = 8.3 in
4) w= 4 and 1/2 in, h = 6 and 1/4in, l = 3 and 1/3 in
What is the total surface area of a rectangular cube where one side has a length of 2 cm, another side has a length of 3 cm, and another side has a length of 4 cm? Try to draw it.
WORK TODAY
Volume Project:
1. Assemble a rectangular cube.
2. Measure the length, width, and height of the cube.
3. Use the formula for volume to calculate the amount of cubic centimeters in your cube. (Volume = length x width x height)
4. Disassemble your cube and check your formula answer by counting the number of cubes.
HOMEWORK
Calculate the volume of the cubes with the following dimensions:
1) w= 4 in, h = 6in, l = 3 in
2) w= 14 in, h = 26in, l = 33 in
3) w= 3.2 in, h = 7.4in, l = 8.3 in
4) w= 4 and 1/2 in, h = 6 and 1/4in, l = 3 and 1/3 in
1/29/10
January 29th, 2010
LOG PROBLEM
What is the total surface area of a 6-sided cube where each side has an area of 25 square centimeters? Try to draw it.
(Surface area is the area of all the sides of an object added together.)
ANSWERS TO SURFACE AREA SHEET
HELPFUL TIPS
1. Square Cube :
a. Area of one side = side x side
b. Total Area = area x 6 sides
2. Rectangular Cube:
a. Area of side 1 = length x width
b. Area of side 2 = length x width
c. Area of side 3 = length x width
d. Total Area = 2(Area1) + 2(Area2) + 2(Area3)
3. Cylinder
a. Area of circle = pi (r)(r)
b. Area of rectangle = Circumference of circle x height (same as length x width)
c. Total Area = 2(area of circle) + Area of rectangle
SHEET 1 (Who won the first World Series?)
ANSWERS
S. SA = 588 centimeters squared
D.SA = 150 centimeters squared
N.SA = 301.44 centimeters squared
O. SA =86.64 centimeters squared
O. SA =854.08 centimeters squared
O. SA =105 centimeters squared
E. SA =678.24 centimeters squared
S. SA =337.32 centimeters squared
B. SA =29.04 centimeters squared
R. SA =65.34 centimeters squared
X. SA =86.35 centimeters squared
T. SA =253 centimeters squared
What is the total surface area of a 6-sided cube where each side has an area of 25 square centimeters? Try to draw it.
(Surface area is the area of all the sides of an object added together.)
ANSWERS TO SURFACE AREA SHEET
HELPFUL TIPS
1. Square Cube :
a. Area of one side = side x side
b. Total Area = area x 6 sides
2. Rectangular Cube:
a. Area of side 1 = length x width
b. Area of side 2 = length x width
c. Area of side 3 = length x width
d. Total Area = 2(Area1) + 2(Area2) + 2(Area3)
3. Cylinder
a. Area of circle = pi (r)(r)
b. Area of rectangle = Circumference of circle x height (same as length x width)
c. Total Area = 2(area of circle) + Area of rectangle
SHEET 1 (Who won the first World Series?)
ANSWERS
S. SA = 588 centimeters squared
D.SA = 150 centimeters squared
N.SA = 301.44 centimeters squared
O. SA =86.64 centimeters squared
O. SA =854.08 centimeters squared
O. SA =105 centimeters squared
E. SA =678.24 centimeters squared
S. SA =337.32 centimeters squared
B. SA =29.04 centimeters squared
R. SA =65.34 centimeters squared
X. SA =86.35 centimeters squared
T. SA =253 centimeters squared
1/28/10
January 28th, 2010
LOG PROBLEM
What is the total surface area of a 6-sided cube where each side has an area of 9 square centimeters? Try to draw it.
(Surface area is the area of all the sides of an object added together.)
Answers to Area of Irregular Shapes Sheet:
1.
A = 23 centimeters squared
P = 24 centimeters
2.
A = 800 meters squared
P = 160 meters
3.
A = 30 kilometers squared
P = 26 kilometers
4.
A = 23 centimeters squared
P = 24 centimeters
5.
A = 23 meters squared
P = 28 meters
6.
A = 76 meters squared
P = 48 meters
HOMEWORK
Complete the surface area worksheet.
What is the total surface area of a 6-sided cube where each side has an area of 9 square centimeters? Try to draw it.
(Surface area is the area of all the sides of an object added together.)
Answers to Area of Irregular Shapes Sheet:
1.
A = 23 centimeters squared
P = 24 centimeters
2.
A = 800 meters squared
P = 160 meters
3.
A = 30 kilometers squared
P = 26 kilometers
4.
A = 23 centimeters squared
P = 24 centimeters
5.
A = 23 meters squared
P = 28 meters
6.
A = 76 meters squared
P = 48 meters
HOMEWORK
Complete the surface area worksheet.
1/27/10
January 27th, 2010
LOG PROBLEM
What is the volume of a cylinder that has a height of 6cm and a diameter of 6cm? DRAW A PICTURE AND LABEL PARTS!
Classwork
We will continue our work dealing with the area of irregular shapes and start a sheet dealing with surface area.
HOMEWORK
Finish the worksheet dealing with irregular shapes. Calculate the area and the perimeter.
What is the volume of a cylinder that has a height of 6cm and a diameter of 6cm? DRAW A PICTURE AND LABEL PARTS!
Classwork
We will continue our work dealing with the area of irregular shapes and start a sheet dealing with surface area.
HOMEWORK
Finish the worksheet dealing with irregular shapes. Calculate the area and the perimeter.
1/25/10
January 25th, 2010
LOG PROBLEM
What is the volume of a cylinder that has a radius of 2 cm and a height of 5 cm?
WORK TODAY
We worked on a lab exercise dealing with density.
HOMEWORK
Finish the formula work for volume and density in your lab report.
What is the volume of a cylinder that has a radius of 2 cm and a height of 5 cm?
WORK TODAY
We worked on a lab exercise dealing with density.
HOMEWORK
Finish the formula work for volume and density in your lab report.
1/21/10
January 21, 2010
LOG PROBLEM
What is the area of a parallelogram that has a base of 5 cm and a height of 7cm?
What is the perimeter if the other side is 8 cm? Draw this parallelogram.
WORK TODAY
We worked on calculating the area of parallelograms and triangles.
HOMEWORK
Calculate the area and perimeter of the first three triangles on the worksheet handed out in class today.
What is the area of a parallelogram that has a base of 5 cm and a height of 7cm?
What is the perimeter if the other side is 8 cm? Draw this parallelogram.
WORK TODAY
We worked on calculating the area of parallelograms and triangles.
HOMEWORK
Calculate the area and perimeter of the first three triangles on the worksheet handed out in class today.
1/20/10
January 20th, 2010
LOG PROBLEM
What is the area of a triangle with a base of 10 cm and height of 5 cm?
WORK TODAY
We will draw obtuse triangles and measure the base and height. We will then use the formula to calculate the area of the triangle.
We will continue with the area problems we were working on yesterday and check our answers.
ANSWERS TO WORKSHEET
1)24 cm^2
2)4.48 cm^2
3)10cm^2
4)144cm^2
5)161.5cm^2
6)416cm^2
7)261cm^2
8)758.5cm^2
9)36m^2
10)105m^2
11)168m^2
12)5.22cm^2
13)11.07cm^2
14)248.2cm^2
15)54.72cm^2
16)90.52m^2
17)196.8cm^2
18)13.63m^2
19)51.45m^2
20)118.69cm^2
HOMEWORK
What is the area of a triangle with the following dimensions:
1) base = 5 cm, height = 9 cm
2) base = 14 cm, height = 19 cm
3) base = 57 cm, height = 61 cm
4) base = 2.3 cm, height = 5.4 cm
5) base = 22.9 cm, height = 36.3 cm
1. Make sure worksheet is complete.
2. Complete the first five problems on your sheet dealing with Parallelograms.
What is the area of a triangle with a base of 10 cm and height of 5 cm?
WORK TODAY
We will draw obtuse triangles and measure the base and height. We will then use the formula to calculate the area of the triangle.
We will continue with the area problems we were working on yesterday and check our answers.
ANSWERS TO WORKSHEET
1)24 cm^2
2)4.48 cm^2
3)10cm^2
4)144cm^2
5)161.5cm^2
6)416cm^2
7)261cm^2
8)758.5cm^2
9)36m^2
10)105m^2
11)168m^2
12)5.22cm^2
13)11.07cm^2
14)248.2cm^2
15)54.72cm^2
16)90.52m^2
17)196.8cm^2
18)13.63m^2
19)51.45m^2
20)118.69cm^2
HOMEWORK
What is the area of a triangle with the following dimensions:
1) base = 5 cm, height = 9 cm
2) base = 14 cm, height = 19 cm
3) base = 57 cm, height = 61 cm
4) base = 2.3 cm, height = 5.4 cm
5) base = 22.9 cm, height = 36.3 cm
1. Make sure worksheet is complete.
2. Complete the first five problems on your sheet dealing with Parallelograms.
1/18/10
January 19th, 2010
LOG PROBLEM
Constructed Response
A horse is tied to a post in a field. The length of the rope holding the horse is 24 feet. How much area can the horse graze? Use 3.14 for Pi.
WORK TODAY
We will be working on calculating the area of triangles.
HOMEWORK
What is the area of a triangle with the following dimensions:
1) base = 2 cm, height = 4 cm
2) base = 4 cm, height = 9 cm
3) base = 5 cm, height = 6 cm
4) base = 2.9 cm, height = 7.4 cm
5) base = 12.8 cm, height = 46.4 cm
Constructed Response
A horse is tied to a post in a field. The length of the rope holding the horse is 24 feet. How much area can the horse graze? Use 3.14 for Pi.
WORK TODAY
We will be working on calculating the area of triangles.
HOMEWORK
What is the area of a triangle with the following dimensions:
1) base = 2 cm, height = 4 cm
2) base = 4 cm, height = 9 cm
3) base = 5 cm, height = 6 cm
4) base = 2.9 cm, height = 7.4 cm
5) base = 12.8 cm, height = 46.4 cm
1/14/10
January 15th, 2010
LOG PROBLEM
What is the area of a circle that has a diameter of 10 meters? SHOW FORMULA WORK AND DRAW A PICTURE.
VOCABULARY
1.Perimeter
2.Area
3.Radius
4. Diameter
5.Circumference
WORK TODAY
Answers to worksheet
3)803.84
4)1256
5)1133.54
6)1962.5
7)9.0746
8)16.6106
9)91.5624
10)120.7016
11)3215.36
12)2826
13)615.44
14)1017.36
15)8.0384
16)18.0864
17)30.1754
18)84.9056
19)706.5
20)200.96
21)50.24
22)2640.74
23)277.4504
24)206.0154
25)40.6944
26)69.3626
We will use a compass to draw circles. We will also use formulas to calculate the circumference and area of a circle.
What is the area of a circle that has a diameter of 10 meters? SHOW FORMULA WORK AND DRAW A PICTURE.
VOCABULARY
1.Perimeter
2.Area
3.Radius
4. Diameter
5.Circumference
WORK TODAY
Answers to worksheet
3)803.84
4)1256
5)1133.54
6)1962.5
7)9.0746
8)16.6106
9)91.5624
10)120.7016
11)3215.36
12)2826
13)615.44
14)1017.36
15)8.0384
16)18.0864
17)30.1754
18)84.9056
19)706.5
20)200.96
21)50.24
22)2640.74
23)277.4504
24)206.0154
25)40.6944
26)69.3626
We will use a compass to draw circles. We will also use formulas to calculate the circumference and area of a circle.
January 14th, 2010
LOG PROBLEM
What is the area of a circle with a radius of 15 centimeters? (SHOW FORMULA WORK and draw a picture!)
HOMEWORK
Complete the AREA ONLY portion of the worksheet handed out today with the title "Sky Gazing."
What is the area of a circle with a radius of 15 centimeters? (SHOW FORMULA WORK and draw a picture!)
HOMEWORK
Complete the AREA ONLY portion of the worksheet handed out today with the title "Sky Gazing."
1/13/10
January 13th, 2010
LOG PROBLEM
What is the area of a circle with a radius of 5 centimeters? (SHOW FORMULA WORK and draw a picture!)
HOMEWORK for 706
1) What is the area of a circle with a radius of 3 centimeters?
2)What is the area of a circle with a radius of 4 meters?
HOMEWORK for 707
Problems 24 and 25 of the worksheet handed out today.
What is the area of a circle with a radius of 5 centimeters? (SHOW FORMULA WORK and draw a picture!)
HOMEWORK for 706
1) What is the area of a circle with a radius of 3 centimeters?
2)What is the area of a circle with a radius of 4 meters?
HOMEWORK for 707
Problems 24 and 25 of the worksheet handed out today.
1/12/10
January 12th, 2010
ANNOUNCEMENT-Distributive Property Quiz Retake on WEDNESDAY!
LOG PROBLEM
Solve for b:
2(3b +4) + 2b = 24
HOMEWORK
Show the formula work for calculating the area of the circles with the following radii:
1)r=2cm
A=(pi) r^2
A=(3.14)(2^2)
A=(3.14)(4)
A=12.56cm^2
2)r=4in
3)r=3.2 m
4)r=8.6km
5)r=1.1mi
LOG PROBLEM
Solve for b:
2(3b +4) + 2b = 24
HOMEWORK
Show the formula work for calculating the area of the circles with the following radii:
1)r=2cm
A=(pi) r^2
A=(3.14)(2^2)
A=(3.14)(4)
A=12.56cm^2
2)r=4in
3)r=3.2 m
4)r=8.6km
5)r=1.1mi
1/10/10
January 11th, 2010
ANNOUNCEMENT-Distributive Property Quiz Retake on WEDNESDAY!
LOG PROBLEM
Solve for x:
2(x +3) +2x= 18
Solution
2(x +3) +2x= 18
2x+6+2x=18
4x+6=18
.....-6...-6
4x=12
/4.../4
x=3
HOMEWORK - First answer is given!
Solve for the variable:
a)
5(10 -y) -5y = 10
50 -5y - 5y = 10
50 - 10y = 10
-50..........-50
-10y = -40
/-10.../-10
y = 4
b)
6(z -1) -2z= 2
c)
3(2n + 4) - 2n = 16
d)
4(5k + 2) -10k= 22
e)
3(4 -x)-3x = 0
Distributive Property Quiz Answers
1)
2(3x+5)
6x + 10
2)
-3(-2+9x)
6-27x
3)
7(3+2x) - 5
21+14x-5
16+14x
4)
-2(9x-4)+2x
-18x+8+2x
-16x+8
5)
8(-4+9x)-9
-32+72x-9
-41+72x
6)
5(-7x-6)+8(4x+2)
-35x-30+32x+16
-3x-14
7)
-9(-2x-6)-3(7x-4)
18x+54-21x+12
-3x+66
8)
P=2(l+w)
P=2(6+7)
P=12+14
P=26cm
9)
P=2(l+w)
P=2(5+8)
P=10+16
P=26cm
10)
P=2(l+w)
P=2(9+5)
P=18+10
P=28cm
LOG PROBLEM
Solve for x:
2(x +3) +2x= 18
Solution
2(x +3) +2x= 18
2x+6+2x=18
4x+6=18
.....-6...-6
4x=12
/4.../4
x=3
HOMEWORK - First answer is given!
Solve for the variable:
a)
5(10 -y) -5y = 10
50 -5y - 5y = 10
50 - 10y = 10
-50..........-50
-10y = -40
/-10.../-10
y = 4
b)
6(z -1) -2z= 2
c)
3(2n + 4) - 2n = 16
d)
4(5k + 2) -10k= 22
e)
3(4 -x)-3x = 0
Distributive Property Quiz Answers
1)
2(3x+5)
6x + 10
2)
-3(-2+9x)
6-27x
3)
7(3+2x) - 5
21+14x-5
16+14x
4)
-2(9x-4)+2x
-18x+8+2x
-16x+8
5)
8(-4+9x)-9
-32+72x-9
-41+72x
6)
5(-7x-6)+8(4x+2)
-35x-30+32x+16
-3x-14
7)
-9(-2x-6)-3(7x-4)
18x+54-21x+12
-3x+66
8)
P=2(l+w)
P=2(6+7)
P=12+14
P=26cm
9)
P=2(l+w)
P=2(5+8)
P=10+16
P=26cm
10)
P=2(l+w)
P=2(9+5)
P=18+10
P=28cm
1/7/10
January 7th, 2010
ANNOUNCEMENT - QUIZ TOMORROW ON AREA OF RECTANGLES
LOG PROBLEM
Solve for x:
81 = 3x
Answers to yesterday's Homework for 706
6) l = 3.82
7) l = 3.98
8) l = 2.58
9) l = 4
10) l = 3.75
Answers to yesterday's Homework for 707
6) l = 2.8
7) l = 2.13
8) l = 7.35
9) l = 2.57
10) l = 2.76
HOMEWORK - PRACTICE QUIZ - Show formula work!
1. What is the perimeter and area of a rectangle that has a length of 3 cm and a width of 4 centimeters?
2.What is the perimeter and area of a rectangle that has a length of 2.1 cm and a width of 4.2 centimeters?
3. What is the perimeter and area of a rectangle that has a length of 24 cm and a width of 14 centimeters?
4. What is the perimeter and area of a rectangle that has a length of 83 cm and a width of 96 centimeters?
5. What is the perimeter and area of a rectangle that has a length of 43.8 cm and a width of 19.7 centimeters?
6. What is the width of a rectangle that has an area of 10 square centimeters and a length of 2 centimeters?
7. What is the width of a rectangle that has an area of 18 square centimeters and a length of 4 centimeters?
8. What is the width of a rectangle that has an area of 12.8 square centimeters and a length of 2.1 centimeters?
9. What is the width of a rectangle that has an area of 88 square centimeters and a length of 27 centimeters?
10. What is the width of a rectangle that has an area of 91.4 square centimeters and a length of 26.9 centimeters?
LOG PROBLEM
Solve for x:
81 = 3x
Answers to yesterday's Homework for 706
6) l = 3.82
7) l = 3.98
8) l = 2.58
9) l = 4
10) l = 3.75
Answers to yesterday's Homework for 707
6) l = 2.8
7) l = 2.13
8) l = 7.35
9) l = 2.57
10) l = 2.76
HOMEWORK - PRACTICE QUIZ - Show formula work!
1. What is the perimeter and area of a rectangle that has a length of 3 cm and a width of 4 centimeters?
2.What is the perimeter and area of a rectangle that has a length of 2.1 cm and a width of 4.2 centimeters?
3. What is the perimeter and area of a rectangle that has a length of 24 cm and a width of 14 centimeters?
4. What is the perimeter and area of a rectangle that has a length of 83 cm and a width of 96 centimeters?
5. What is the perimeter and area of a rectangle that has a length of 43.8 cm and a width of 19.7 centimeters?
6. What is the width of a rectangle that has an area of 10 square centimeters and a length of 2 centimeters?
7. What is the width of a rectangle that has an area of 18 square centimeters and a length of 4 centimeters?
8. What is the width of a rectangle that has an area of 12.8 square centimeters and a length of 2.1 centimeters?
9. What is the width of a rectangle that has an area of 88 square centimeters and a length of 27 centimeters?
10. What is the width of a rectangle that has an area of 91.4 square centimeters and a length of 26.9 centimeters?
1/6/10
January 6th, 2010
ANNOUNCEMENT! - Once again, there is a Quiz on Friday dealing with AREA and PERIMETER of rectangles.
LOG PROBLEM
What is the length of a rectangle that has a width of 6 centimeters and an area of 38 centimeters squared? SHOW FORMULA WORK.
CLASSWORK
Draw a rectangle. Measure the length and width in inches. Show formula work for the area and perimeter.
Answers to HOMEWORK for January 5th.
1) l =14 cm
2) l =4.17 cm
3) l =3.63 cm
4) l =2.5 cm
5) l =1.27 cm
HOMEWORK FOR 706
Calculate the length for the dimensions of each rectangle. SHOW FORMULA WORK!
6) A=4.2 in^2, w = 1.1
7) A=39.8 cm^2, w = 10cm
8) A=17.3 cm^2, w = 6.7cm
9) A=8.4 cm^2, w = 2.1cm
10) A=3 cm^2, w = 0.8cm
HOMEWORK FOR 707
Calculate the length for the dimensions of each rectangle. SHOW FORMULA WORK!
6) A=14.3 in^2, w = 5.1 in
7) A=19.8 cm^2, w = 9.3cm
8) A=27.2 cm^2, w = 3.7cm
9) A=82.4 cm^2, w = 32.1cm
10) A=63 cm^2, w = 22.8cm
LOG PROBLEM
What is the length of a rectangle that has a width of 6 centimeters and an area of 38 centimeters squared? SHOW FORMULA WORK.
CLASSWORK
Draw a rectangle. Measure the length and width in inches. Show formula work for the area and perimeter.
Answers to HOMEWORK for January 5th.
1) l =14 cm
2) l =4.17 cm
3) l =3.63 cm
4) l =2.5 cm
5) l =1.27 cm
HOMEWORK FOR 706
Calculate the length for the dimensions of each rectangle. SHOW FORMULA WORK!
6) A=4.2 in^2, w = 1.1
7) A=39.8 cm^2, w = 10cm
8) A=17.3 cm^2, w = 6.7cm
9) A=8.4 cm^2, w = 2.1cm
10) A=3 cm^2, w = 0.8cm
HOMEWORK FOR 707
Calculate the length for the dimensions of each rectangle. SHOW FORMULA WORK!
6) A=14.3 in^2, w = 5.1 in
7) A=19.8 cm^2, w = 9.3cm
8) A=27.2 cm^2, w = 3.7cm
9) A=82.4 cm^2, w = 32.1cm
10) A=63 cm^2, w = 22.8cm
1/4/10
January 5th, 2010
ANNOUNCEMENT: QUIZ FRIDAY ON PERIMETER AND AREA
LOG PROBLEM
3x + 9 = 17.2
CLASSWORK
1. Draw a rectangle. Use your ruler and the formulas to calculate the PERIMETER and the AREA.
2. Check your Homework
Answers to Problems 1-13 for January 4th:
2) l = 3.22 cm
3) l = 5.35 cm
4) l =2.92 cm
5) l =20.86 cm
6) l =4.53 cm
7) l =5 cm
8) l =2.25 cm
9) l =34.82 cm
10) l =2.93 cm
11) l =4.97 cm
12) l =4.12 cm
13) l =5.06 cm
HOMEWORK
1) A=32.2 cm^2, w = 2.3cm
2) A=45.9 cm^2, w = 11cm
3) A=33 cm^2, w = 9.1cm
4) A=21 cm^2, w = 8.4cm
5) A=11.42 cm^2, w = 9cm
LOG PROBLEM
3x + 9 = 17.2
CLASSWORK
1. Draw a rectangle. Use your ruler and the formulas to calculate the PERIMETER and the AREA.
2. Check your Homework
Answers to Problems 1-13 for January 4th:
2) l = 3.22 cm
3) l = 5.35 cm
4) l =2.92 cm
5) l =20.86 cm
6) l =4.53 cm
7) l =5 cm
8) l =2.25 cm
9) l =34.82 cm
10) l =2.93 cm
11) l =4.97 cm
12) l =4.12 cm
13) l =5.06 cm
HOMEWORK
1) A=32.2 cm^2, w = 2.3cm
2) A=45.9 cm^2, w = 11cm
3) A=33 cm^2, w = 9.1cm
4) A=21 cm^2, w = 8.4cm
5) A=11.42 cm^2, w = 9cm
1/3/10
January 4th, 2010
LOG PROBLEM
Solve for x:
2x + 3 = 12
Solution:
1)2x+3 = 12
.......-3 .....-3
2)2x = 9
.../2 .. /2
3) x = 4.5
WORK TODAY
Area of Rectangles
1. What is the length of a rectangle that has a width of 10.2 centimeters and an area of 40.6 centimeters squared? SHOW FORMULA WORK and make a sketch.
Solution:
a = lw
40.6 = l(10.2)
/10.2..../10.2
3.12 cm = l
Rectangle dimensions: Find the length.
2. Area = 13.2 cm^2 , w = 4.1 cm
3. Area = 122 cm^2 , w = 22.8 cm
4. Area = 654 cm^2 , w = 224.1 cm
5. Area = 200.3 cm^2 , w = 9.6 cm
6. Area = 65.2 cm^2 , w = 14.4 cm
7. Area = 11.5 cm^2 , w = 2.3 cm
8. Area = 42.9 cm^2 , w = 19.1 cm
9. Area = 839.2 cm^2 , w = 24.1 cm
10. Area = 88.2 cm^2 , w = 30.1 cm
HOMEWORK
Rectangle dimensions: Find the length.
11. Area = 493 cm^2 , w = 99.1 cm
12. Area = 89.5 cm^2 , w = 21.8 cm
13. Area = 18.2 cm^2 , w = 3.6 cm
Solve for x:
2x + 3 = 12
Solution:
1)2x+3 = 12
.......-3 .....-3
2)2x = 9
.../2 .. /2
3) x = 4.5
WORK TODAY
Area of Rectangles
1. What is the length of a rectangle that has a width of 10.2 centimeters and an area of 40.6 centimeters squared? SHOW FORMULA WORK and make a sketch.
Solution:
a = lw
40.6 = l(10.2)
/10.2..../10.2
3.12 cm = l
Rectangle dimensions: Find the length.
2. Area = 13.2 cm^2 , w = 4.1 cm
3. Area = 122 cm^2 , w = 22.8 cm
4. Area = 654 cm^2 , w = 224.1 cm
5. Area = 200.3 cm^2 , w = 9.6 cm
6. Area = 65.2 cm^2 , w = 14.4 cm
7. Area = 11.5 cm^2 , w = 2.3 cm
8. Area = 42.9 cm^2 , w = 19.1 cm
9. Area = 839.2 cm^2 , w = 24.1 cm
10. Area = 88.2 cm^2 , w = 30.1 cm
HOMEWORK
Rectangle dimensions: Find the length.
11. Area = 493 cm^2 , w = 99.1 cm
12. Area = 89.5 cm^2 , w = 21.8 cm
13. Area = 18.2 cm^2 , w = 3.6 cm
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