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
1/29/10
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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