Solving Scaling Problems

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Objective

I can use proportional reasoning to solve scaling problems in real-world contexts.

Part 1 of 4

Warm-up video

Math with Mr. J · 8:36Vetted channel

We don't generate video — this one is by Math with Mr. J on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 4

Key concepts

3 concepts

  1. 1

    When solving proportions using relationships, you can use multiplication or division to find the unknown value.

  2. 2

    When using cross multiplication to solve proportions, you must first cross multiply, then set the cross products equal to each other, and then solve.

  3. 3

    When solving proportions using relationships, you can look for a relationship that uses multiplication or division horizontally, from side to side between the ratios.

Part 3 of 4

Practice

12 questions

1

In the proportion 5/x = 15/45, what is the relationship between 15 and 5? Use this relationship to find the value of x.

2

Solve the proportion 8/12 = y/3 using the relationship between the denominators.

Part 4 of 4

Exit ticket

Quick comprehension check

A map has a scale of 1 cm to 50 km If two cities are 3.5 cm apart on the map, what is the actual distance in miles between the two cities?

Sample answer included in the free materials

Get the materials

Teacher guide, student handout, and slides — free, in Google Docs format

  • Teacher Guide

    Complete lesson plan with answer keys and alternate activities

  • Student Handout

    Printable worksheet

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