Quarters of Shapes

Split shapes and groups into four equal parts.

  • Define and explain Quarters of Shapes in your own words
  • Use key terms such as Denominator accurately
  • Apply what you have learned to new examples and questions
  • Avoid the common mistakes learners make with this topic

This lesson focuses on Quarters of Shapes: split shapes and groups into four equal parts.

Definition: Quarters of Shapes

Split shapes and groups into four equal parts.

Key ideas

Quarter versus half

A quarter is smaller than a half, because splitting a whole into four parts makes each piece thinner than splitting it into two.

Equal parts

A fraction only makes sense if the parts are exactly equal — two uneven pieces are not halves, no matter how they look.

Key term — Denominator: The bottom number of a fraction; it tells you how many equal parts the whole is split into.

Worked example: Quarters of Shapes

A rectangle is split into 4 equal parts. How many parts make one quarter?

1 — a quarter is 1 out of 4 equal parts.

Answer: 1 — a quarter is 1 out of 4 equal parts.

Common mistakes
  • Calling unequal pieces halves The pieces must be exactly the same size for halves, quarters or any fraction to be correct.
  • Writing the fraction upside down The total number of equal parts goes on the bottom, not the top.

Practice

Which is greater: 1/2 or 1/4?
Draw both on identical circles.

1/2 — two parts make bigger pieces than four.

A quarter of 20 marbles are red. How many are red?
A quarter means divide by 4.

5 — 20 ÷ 4 = 5.

What is half of 18?
Share 18 between two.

9 — 18 ÷ 2 = 9.

Half of a class of 24 children are girls. How many girls?
Half means divide by 2.

12 — 24 ÷ 2 = 12.

Quick check

Quarters of Shapes — quick check

Which of these best defines "Denominator"?

The bottom number of a fraction; it tells you how many equal parts the whole is split into.

You eat 1/2 of a pizza and your friend eats 1/4. Who ate more?

You did — 1/2 is larger than 1/4.
Key takeaways
  • Quarters of Shapes: split shapes and groups into four equal parts.
  • Quarter versus half: A quarter is smaller than a half, because splitting a whole into four parts makes each piece thinner than splitting it into two.
  • Half: One of two equal parts of a whole.
  • Watch out for: calling unequal pieces halves