Solving Problems with Proportions

Free to teach as-is — the teacher guide, student handout, and slides are included.

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Objective

I can solve real-world problems using proportional reasoning.

Part 1 of 4

Warm-up video

mathantics · 10:30Vetted channel

We don't generate video — this one is by mathantics 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

    A proportion is two equivalent ratios, and equivalent ratios must have the same units.

  2. 2

    To solve a proportion with an unknown value, you can use a procedure called cross-multiplying.

  3. 3

    A map is an example of a scaled drawing, which is proportional to the real thing and can be used to set up a proportion to find an unknown distance.

Part 3 of 4

Practice

7 questions

1

What is a proportion?

2

Explain why the units must be the same in both ratios of a proportion.

Part 4 of 4

Exit ticket

Quick comprehension check

A recipe requires 2 eggs for every 3 cups of flour. If you want to make a larger batch using 12 cups of flour, how many eggs will you need? Show your work using a proportion.

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

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