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Fraction Tiles Exploration

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Fraction Tiles Exploration

Explore how fraction tiles can help you build, compare and add fractions. Imagine each tile is a strip of the same length: the whole strip is 1. You can sketch tiles or use the fraction bars on this page. Show your thinking where asked.

Build a whole

At a hospital ward, Tane is preparing equal-length paper strips for a puzzle table. Each full strip represents 1 whole.

1.Complete each tile equation to make exactly 1 whole: a) 1/2 + ___ = 1; b) 1/4 + ___ = 1; c) 1/3 + ___ + 1/3 = 1.

2.Mele lays down three 1/8 tiles. What fraction of a whole strip has she made? Write the fraction and say how many more eighths she needs to make 1 whole.

3.Use the fraction bars to compare the shaded amounts. Which is greater: 3/4 or 5/8? Explain how the equal-sized parts help you decide.

3/4

5/8

4.Put these fractions in order from least to greatest: 1/2, 3/4, 1/4, 5/8. Use the number line to help.

Combine and compare

The ward’s puzzle table has a set of fraction tiles. Use equivalent fractions when the pieces do not match straight away.

5.Add the tiles: 1/4 + 1/4 + 1/2 = ___. Write the answer in simplest form.

6.Hugo joins 2/3 of a strip to another 1/6. What fraction of a strip does he have altogether?

7.Which fraction is closer to 1: 7/8 or 5/6? Choose one and explain by comparing how much is missing from 1.

8.True or false? 4/8 is equivalent to 1/2. Give one reason for your answer.

TrueFalse

9.Fill in the missing numerator: 3/5 = /10. Explain what happened to the denominator and why the numerator must change the same way.

10.Challenge: Tane needs to make 1 1/2 using exactly three tiles. Write one possible addition equation using fraction tiles. The three tile values may be different.