January 4th, 2023

## Middle School Resource

### Classroom Idea: Understanding Equivalents

In this activity, students are given a grid that is 10 x 10, instructed that the grid contains 100 squares and that the entire grid is equivalent to one with each square equivalent to 1/100 or 0.01 or 1%. Students are given a series of fractions in groups of their common denominators (e.g., 1/4, 2/4, 3/4, 4/4) and are to divide the grid into those fractions and to count to find the decimal equivalent and percent. If students start with easy fractions like halves, 4ths, 10ths, and 5ths, they are then able to use the strategies they will discover to figure out more difficult fractions like 3rds, 6ths, 8ths, etc., using the grids. An example of how the grid could be divided for 4ths is shown below with a set of equivalent fractions.

Related NY State Academic Standards: 5.NF.3, 6.RP.2, 6.RP.3, and more!

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