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: A 30-ounce bottle of salad dressing costs $2.50. What will a 40-ounce bottle of salad dressing cost if the unit cost remains the same? Show your work.
Problem #2: The prices of 3 different size bottles of shampoo are given in the table. Shampoo Prices Bottle Size Unit Price (ounces) Cost 20 $3.50 30
$5.40
36
$7.20
Determine the unit cost per ounce for each size bottle of shampoo. Write the unit cost for each size bottle in the table. Which size cost the least per ounce? __________ Which size cost the most per ounce? _____
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 (7.1A): Order the size of shampoos from least cost per ounce to most cost per ounce.
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