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
5/28/10
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.
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