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Math · Ages 6–8 · 15 minutes

Are These Two Parts Equal Halves?

Compare fair and unfair divisions of the same rectangle using folding and drawing.

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Are These Two Parts Equal Halves?

Name:                              
Date:              

Today I am practising: distinguishing two equal shares from two unequal parts

1

Draw a rectangle and divide it into two equal parts. Label each half.

2

Draw another rectangle and divide it into a very small part and a large part. Are they halves?

3

Fold a paper rectangle in half. How can folding help check equal shares?

4

Can two equal halves be made with a horizontal or vertical line? Try both.

5

If one half is covered, what fraction of the rectangle remains visible?

6

Explain why having two parts alone does not prove that each is one half.

Grown-up guide
  1. Use congruent rectangles for comparisons.
  2. Emphasize equal amount of the whole, not just two regions.
  3. Allow folding to establish equality before introducing fraction notation.