Grade 1Shapes and Equal Shares1.G.A.3

Halves and Fourths

Split circles and rectangles into 2 or 4 equal parts.

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You know what makes a shape. Now cut shapes into equal parts. Equal parts are all the same size, like a fair share.

The same pizza, cut into 2 equal parts and into 4 equal parts.

Key idea

2 equal parts are halves. 4 equal parts are fourths, also called quarters. The more equal parts, the smaller each part.

Why it works

Sharing the same whole among more people gives each person less. So one fourth is smaller than one half.

Worked example: Fourths

A pizza is cut into 4 equal parts. What is one part called? Is it bigger or smaller than one half?
  1. 4 equal parts are fourths.
  2. One part is one fourth, or one quarter.
  3. It is smaller than one half.

Answer: One fourth; smaller

The first is cut into halves. The second is not: the parts are different sizes.

Common mistake

Thinking more parts means bigger parts, so a fourth is bigger than a half. Share a cracker with 1 friend, then with 3 friends. Which piece is bigger?
For grown-ups: Cut sandwiches or paper into halves and fourths together. Ask, “Are the parts the same size?”

Practice

Pass with 3 right answers, the last 2 in a row. Each right answer earns 1 XP.

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Sources and further reading

  • Common Core State Standards for Mathematics, Grade 1, 1.G.A.3: partition circles and rectangles into two and four equal shares
  • Institute of Education Sciences practice guide: Assisting Students Struggling with Mathematics: Intervention in the Elementary Grades (WWC 2021006)
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