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Basic 1 · Mathematics · Fractions

Halves in Pictures and Number Lines

In this topic you will count halves using pictures and a number line.

By the end of these notes you should be able to:

  • Count halves shown in pictures
  • Show halves on a number line from 0 to 3
  • Match halves to wholes

What you already know

  • Counting in halves with objects

Copy everything that has a blue line on its left into your notebook. The other parts are for reading.

Strand
Number
Sub-strand
Fractions
Indicator
B1.1.3.1.2 – Count in halves using concrete and pictorial representations of halves

Introduction

Earlier we counted real orange halves. Today we count halves in pictures and on a number line.

1. Halves in Pictures

Count the shaded halves in each picture.

Three rows of circles with halves shaded
Figure 1: Counting shaded halves Draw the three rows and write how many halves are shaded.Illustration: Sirbus

2. Halves on a Number Line

A number line can show halves between whole numbers.

0, ½, 1, 1½, 2, 2½, 3

Number line from 0 to 3 marked in halves
Figure 2: A number line in halves Draw the number line from 0 to 3 in halves.Illustration: Sirbus

Example

Count in halves from 0 to 2.

  1. Start at 0.
  2. Jump one half each time: ½, 1, 1½, 2.

Answer: It takes 4 half jumps to reach 2.

Remember: Halfway between 1 and 2 is 1½ (one and a half).

New words

number line
A line with numbers in order.
shaded
Coloured in.
halfway
In the middle of two numbers.
one and a half
One whole and one half: 1½.

Summary

  • We can count halves in pictures.
  • On a number line, ½ is halfway between 0 and 1.
  • Two half jumps make one whole jump.

Class activity: Number Line Walk

  1. Draw a number line from 0 to 3 on the floor with chalk.
  2. Mark the halves.
  3. Take turns to jump in halves and count aloud.

You need: Fraction strips cut from old cartons, Bottle tops, Exercise books

Exercises

Answer in your exercise book first, then check your answers.

  1. 1. What is halfway between 0 and 1?

    • A. ½
    • B. 1½
    • C. 2
    • D. 0
    Show answer
    Answer: ½½ is in the middle of 0 and 1.

  2. 2. What comes next? ½, 1, 1½, ___

    • A. 2
    • B. 2½
    • C. 3
    • D. 1
    Show answer
    Answer: 2Add one half each time.

  3. 3. 1½ is between 1 and 2.

    • A. True
    • B. False
    Show answer
    Answer: TrueIt is halfway between 1 and 2.

  4. 4. It takes 2 half jumps to go from 0 to 2.

    • A. True
    • B. False
    Show answer
    Answer: FalseIt takes 4 half jumps.

  5. 5. Two halves make one ______.

    Show answer
    Answer: whole½ + ½ = 1 whole.

  6. 6. Draw 2 circles and shade 3 halves.

    Show answer
    Answer: One circle fully shaded and one circle half shaded.2 halves + 1 half = 3 halves.

Homework

  1. Draw a number line from 0 to 2 and mark the halves.