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Primary Maths · Year 1Chapter 10 · Halves and quarters
Year 1 · Halves and quarters · Lesson 10.2

Year 1: One half of a shape

Part of the Year 1 halves and quarters chapter. Chapter overview · whole chapter on one page · Download worksheet (PDF) · Answers (PDF)

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10.2

One half of a shape

Year 1
Recognise, find and name a half of a shape
A kitchen. Let’s cut food into halves.

A half is one of two equal parts. If you share a shape into two equal parts, each part is one half. We say “one half”.

Two halves make one whole. A shape can be cut across the top and bottom, or down the middle.

Each shape is cut into two equal parts. One part of each is shaded: one half.

Key ideas

  • A half is one of two equal parts.
  • Two halves make one whole.
  • The parts must be the same size to be halves.
Worked example 10.2.1
Is the shaded part one half?

Method. One half is one of 2 equal parts. Check the parts and the shading.

  1. Count the parts. One half needs 2 equal parts.
    2 parts
  2. Check the parts are the same size. Equal parts are the same size.
    The parts are the same size.
  3. Count the shaded parts. We need exactly one shaded part for one half.
    1 shaded
  4. Decide.
    Yes. The shaded part is one half.

Check. Say it in words: the shaded part is one half. ✓

Watch out. Parts must be the same size before you can call them halves or quarters.

Worked example 10.2.2
Is the shaded part one half?

Method. One half is one of 2 equal parts. Check the parts and the shading.

  1. Count the parts. One half needs 2 equal parts.
    2 parts
  2. Check the parts are the same size. Equal parts are the same size.
    The parts are not the same size.
  3. Count the shaded parts. We need exactly one shaded part for one half.
    1 shaded
  4. Decide.
    No. The parts are not the same size, so the shaded part is not one half.

Check. Say it in words: the shaded part is not one half. ✓

Watch out. Parts must be the same size before you can call them halves or quarters.

Worked example 10.2.3
Which picture shows one half shaded? Write A, B or C.
ABC

Method. Look at each picture and find the one with one half shaded.

  1. Look at A. Count the equal parts and the shaded parts.
    A: 4 parts, equal, 1 shaded
  2. Look at B. Count the equal parts and the shaded parts.
    B: 2 parts, equal, 1 shaded
  3. Look at C. Count the equal parts and the shaded parts.
    C: 2 parts, not equal, 1 shaded
  4. Find the picture that matches. We want the picture with one half shaded.
    Matches: B
  5. Write the answer.
    B

Check. A and C do not match. ✓

Watch out. Count the equal parts first, then the shaded parts.

Watch out

Watch out: if you shade both parts, you have shaded the whole shape, not one half.

Exam tip

Grown-up tip. Cut a square of paper or a biscuit into two halves. Ask: “Are they the same size?” Then ask your child to point to one half.

Exercise 10B  One half of a shape

Non-calculator
1
FIs the shaded part one half? Write Yes or No.
2
FIs the shaded part one half? Write Yes or No.
3
FIs the shaded part one half? Write Yes or No.
4
FIs the shaded part one half? Write Yes or No.
5
FIs the shaded part one half? Write Yes or No.
6
PSIs the shaded part one half? Write Yes or No.
7
FWhich picture shows one half shaded? Write A, B or C.
ABC
8
FHow many halves make one whole?
9
PSSam cuts a square cake into 2 equal parts. He eats one part. How much of the cake did he eat? Say one half or one quarter.
10
RMei says: “Any shape cut in two gives halves.” Is she right? Explain.
11
RBoth rectangles are the same size and each is split into two equal parts. Is the shaded part of A the same size as the shaded part of B? Explain.
AB

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