GRADE 7 MATHEMATICS (7.2) Number, operation, and quantitative reasoning. The student adds, subtracts, multiplies, or divides to solve problems and justify solutions. The student is expected to: (G) determine the reasonableness of a solution to a problem.
Sammy bought 6 different compact discs. The prices ranged from $12.80 to $19.50 per compact disc. He bought at least one at the least price and at least one at the greatest price. List four possible total costs of the compact discs, not including tax. Your list needs to include a least possible and greatest possible total cost.
Write a range for the total cost of the 6 discs.
1. What mathematical concepts and vocabulary do I need to know to be able to work this problem?
2. Will the Grade 7 Mathematics Formula Chart be helpful on this problem? Why or why not?
3. Will a picture or diagram be helpful on this problem? If so, how?
4. How would I decide if a given total cost for this problem was reasonable or not?
5. What problem-solving strategy or strategies will I use to help solve this problem?
6. Extension (7.2F): Choose one of your possible costs above and find an average cost per compact disc.
TEKSING TOWARD TAKS © 2006
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GRADE 7 MATHEMATICS (7.2) Number, operation, and quantitative reasoning. The student adds, subtracts, multiplies, or divides to solve problems and justify solutions. The student is expected to: (G) determine the reasonableness of a solution to a problem.
Sammy bought 6 different compact discs. The prices ranged from $12.80 to $19.50 per compact disc. He bought at least one at the least price and at least one at the greatest price. List four possible total costs of the compact discs,
not including tax. Your list needs to include a least possible and greatest possible total cost.
Write a range for the total cost of the 6 discs.
TEKSING TOWARD TAKS © 2006
Page 2
GRADE 7 MATHEMATICS (7.2) Number, operation, and quantitative reasoning. The student adds, subtracts, multiplies, or divides to solve problems and justify solutions. The student is expected to: (G) determine the reasonableness of a solution to a problem.
At the mall Saturday the band boosters took donations for the Jackson Middle School Band program. They collected between $125 and $150 per hour. Which is the best estimate for the total amount collected in 6 hours?
Jim and Jody pick up recyclable cans at the local park. Last month they collected between 45 and 55 cans each day for 21 days. Which is the best estimate for the total number of cans they collected during those 21 days?
A
From $540 to $740.
A
From 740 to 950
B
From $740 to $ 940
B
From 950 to 1160
C
From $940 to $1140
C
From 1160 to 1370
D
From $1140 to $1340
D
From 1370 to 1580
The Ames seventh grade football team had between 190 and 230 offensive yards per game. Which is the best estimate for the total amount of offensive yardage in 9 games? A
From 2500 to 2900
B
From 2100 to 2500
C
From 1700 to 2100
D
From 1300 to 1700
Mrs. Jones types reports for a large company. Each report has between 17 and 21 pages. If she typed 60 reports last month, which is the best estimate for the number of pages she typed? A
Less than 1000
B
From 1000 to 1300
C
From 1300 to 1600
D
More than 1600
Mr. Smith, a computer salesman, travels 5 days a week. He usually travels between 920 and 1080 miles a week. Which is the best estimate for the total amount of miles he travels in 5 weeks?
My Favorite Dog Kennel estimates that they fed between 1.2 and 1.6 pounds of dry dog food each day to an average of 20 dogs. Which is the best estimate of the number of pounds of dry dog food they use in one week?
A
From 2500 to 3500
A
From 430 to 520
B
From 3500 to 4500
B
From 340 to 430
C
From 4500 to 5500
C
From 250 to 340
D
From 5500 to 6500
D
From 160 to 250
Jody read her new novel in 9.5 hours. If she reads between 80 and 95 pages an hour, which is the best estimate of the number of pages in the novel?
John’s Bridal Cake Bakery sells three sizes of wedding cakes. The cakes require between 6.5 and 9 cups of flour. If the bakery sold 42 wedding cakes last month, which is the best estimate for the numbers of cups of flour they used?
A
Less than 750
A
325
B
From 750 to 920
B
140
C
From 920 to 1090
C
390
D
More than 1090
D
400
TEKSING TOWARD TAKS Š 2006
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