Problem Solving with Proportional Relationships

​Objective: The student will solve problems by writing and solving proportion.

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Math Standard:

MA.7.GR.1.5: Solve mathematical and real-world problems involving dimensions and areas of geometric figures, including scale drawings and scale factors.

Clarification 1: Instruction focuses on seeing the scale factor as a constant of proportionality between corresponding lengths in the scale drawing and the original object.

Clarification 2: Instruction includes the understanding that if the scaling factor is k, then the constant of proportionality between corresponding areas is k2 .

Clarification 3: Problem types include finding the scale factor given a set of dimensions as well as finding dimensions when given a scale factor.

Connecting Benchmark MA.7.AR.4.4 Suggested Material​

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Essential Question:​ Beatrice ran 8 miles in 3 hours. Write three different proportions to find how long it will take her to run 12 miles. How do you know each proportion will solve the problem?

• Scan the Problem.

• ​Underline the clues.

• Restate the question in your own words.

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​Understand the Problem

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