Equivalent Fractions

8-10 yrs old

11-13 yrs old

14-18 yrs old

Math & Economics

The concept of equivalent fractions is difficult for some students to understand.

avatar Submitted By: L Ferr4

June 20, 2018


  • Critical Thinking

Learning Objectives

  • Students will create fraction models of equivalent fractions or ratios.

Guiding Ideas


1. What is a fraction?

2. What does the denominator represent? Numerator?

2. What is a ratio? Rate? Unit rate?

3. How are a fraction and a ratio similar?


Student Activities

Practice first!

1. Use different color blocks to create:  1/2

2.  Use the same colored blocks to create a fraction/ratio equivalent to 1/2.

3. Complete this task again with another fraction/ratio. There should be a total of three ratios equivalent to 1/2 including the 1/2.



Imagine you are a landscaper hired to decorate a garden.


1. Create a garden that showcases a bed of flowers using the ratio 10 roses/2ferns. Build a fence around your first garden.


2. The neighbor liked your work, but has a smaller plot of land. Determine the unit rate for roses : ferns and plot that garden. Build a fence around your second garden.


2. A prospective client has heard about your work and would like a large model built for 40 roses. How many ferns would you need for a garden with 40 roses? Create your garden and build your fence around it.







Performance Expectations

Students will be able to explain the the similarities between equivalent fractions/ratios.

Students will be able to model a fraction using different items.

Students will be able to determine the unit rate and understand a unit rate is a fraction comparison to one.

Students will be able to integrate technology to create visuals and model equivalent fractions.

Students will be able to solve real world problems incorporate math and technology.


  • Critical Thinking

External References