Equivalent Fractions with Models

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

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Objective

I can use models to show why multiplying the top and bottom numbers of a fraction by the same number creates an equal fraction.

Part 1 of 4

Warm-up video

Tutoring Hour · 4:37Vetted channel

We don't generate video — this one is by Tutoring Hour 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

    Equivalent fractions have different numerators and denominators, but they represent the same quantity or proportion.

  2. 2

    To generate equivalent fractions, multiply the numerator and denominator by the same number.

  3. 3

    To check if two fractions are equivalent, you can cross multiply them; if the products are the same, the fractions are equivalent.

Part 3 of 4

Practice

12 questions

1

What are equivalent fractions?

2

Imagine a square is divided into 9 equal parts. If 3 parts are shaded, what fraction represents the shaded area? Now, if you divide each of those parts into 2, what fraction represents the shaded area?

Part 4 of 4

Exit ticket

Quick comprehension check

Draw a rectangle. Divide it into 3 equal parts and shade 1 part. Now, divide the same rectangle horizontally so that there are twice as many rows. How many total parts are there now? How many parts are shaded? What two equivalent fractions does this model show?

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

  • Slides

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