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

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 =?

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?

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

May 24th, 2010

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.

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.

May 18th, 2010

WORK TODAY

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?

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?

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

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

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?

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?