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GRADE 7 MATHEMATICS (7.3) Patterns, relationships, and algebraic thinking. The student solves problems involving proportional relationships. The student is expected to: (B) estimate and find solutions to application problems involving proportional relationships such as similarity, scaling, unit costs, and related measurement units.

Problem #1: Mr. Thompson has 1 quart of custom paint that will cover 200 ft 2 . He has 725 ft 2 of walls and ceilings to paint. How many more quarts of paint does he need? Show your work.

Problem #2: A triangle has side lengths of 16 inches, 20 inches and 18 inches. What is the perimeter of the triangle in feet? Show your work.

1. What mathematical concepts and vocabulary do I need to know to be able to work these problems?

2. Will the Grade 7 Mathematics Formula Chart be helpful on these problems? Why or why not?

3. Would a picture or diagram be helpful on these problems? If so, how?

4. What problem-solving strategy or strategies will I use to help solve these problems?

5. Extension (7.2D): If Mr. Thompson paid $25.96 for the paint in Problem #1, what was the cost per quart?

TEKSING TOWARD TAKS Š 2006

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GRADE 7 MATHEMATICS (7.3) Patterns, relationships, and algebraic thinking. The student solves problems involving proportional relationships. The student is expected to: (B) estimate and find solutions to application problems involving proportional relationships such as similarity, scaling, unit costs, and related measurement units.

Problem #1: Mr. Thompson has 1 quart of custom paint that will cover 200 ft 2 . He has 725 ft 2 of walls and ceilings to paint. How many more quarts of paint does he need? Show your work.

Problem #2: A triangle has side lengths of 16 inches, 20 inches and 18 inches. What is the perimeter of the triangle in feet? Show your work.

TEKSING TOWARD TAKS Š 2006

Page 2


GRADE 7 MATHEMATICS (7.3) Patterns, relationships, and algebraic thinking. The student solves problems involving proportional relationships. The student is expected to: (B) estimate and find solutions to application problems involving proportional relationships such as similarity, scaling, unit costs, and related measurement units.

Mrs. Johnson made 512 ounces of punch. How many gallons did she make? A

4

B

2.5

C

3

D

3.5

Each morning the cook at a boys club prepared a total of 10.5 dozen pancakes. He prepared 3 pancakes for each boy. How many boys did the cook prepare pancakes for each morning? A

32

B

30

C

42

D

36

Edison School District custodians are paid for working 180 hours per month for 20 days. How many hours do they work each day? A

360

B

3600

C

90

D

9

The following table shows the various weights of bulk wild animal feed bags at the feed store.

Animal Feed Wild Birdseed Mix Black Sunflower Seed Mix Squirrel Mix Squirrel Corn

Weight (in pounds) 50 20 25 10

How many ounces are in a bag of Squirrel Mix? A

400

B

500

C

41

D

105

Mike is a marathon runner. To train for marathons, he runs 125 miles every week. What is the number of miles he runs in 8 weeks? A

1400 mi

B

133 mi

C

900 mi

D

1000 mi

TEKSING TOWARD TAKS Š 2006

A rectangle has a length of 3 feet and a width of 2.4 feet. What is the perimeter of the rectangle in inches? A

10.8 inches

B

129.6 inches

C

64.8 inches

D

7.2 inches

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02-7.3B