Halves of Shapes

Split shapes into two equal parts and shade one half.

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

Fractions describe parts of a whole — half a pizza, a quarter of an hour. Splitting things fairly is where fractions begin.

This lesson focuses on Halves of Shapes: split shapes into two equal parts and shade one half.

Definition: Halves of Shapes

Split shapes into two equal parts and shade one half.

Key ideas

Equal parts

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

Halves of numbers

Sharing equally between two people gives each person half, so half of 12 is 6. Finding halves is really division by 2.

Key term — Half: One of two equal parts of a whole. Two halves make the whole again.

Worked example: Halves 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

What is half of 18?
Share 18 between two.

9 — 18 ÷ 2 = 9.

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

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

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

12 — 24 ÷ 2 = 12.

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

5 — 20 ÷ 4 = 5.

Quick check

Halves of Shapes — quick check

Which of these best defines "Half"?

One of two equal parts of a whole. Two halves make the whole again.

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
  • Halves of Shapes: split shapes into two equal parts and shade one half.
  • Equal parts: A fraction only makes sense if the parts are exactly equal — two uneven pieces are not halves, no matter how they look.
  • Denominator: The bottom number of a fraction; it tells you how many equal parts the whole is split into.
  • Watch out for: calling unequal pieces halves