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YEAR 1 · COUNTING AND PLACE VALUE · 12 MIN

Number lines and ordering

Use position on a number line to compare and order whole numbers.

In this lesson

Before you start
  • Count forwards and backwards; use counters if helpful.
01 / LEARN

Understand the idea.

Numbers have positions

A number line puts numbers in order. On this line, each space is one step. Moving right adds one; moving left takes one away. Start on the named number, then count each space you cross.

Order carefully

To put numbers in order, find the smallest first. Compare tens before ones: a number with five tens comes before a number with six tens. If the tens match, compare the ones. Then check that your list keeps growing.

02 / WORKED EXAMPLES

See the method in action.

EXAMPLE 01

Count the steps

Start at 10. Move three steps right. Where do you land?

Worked solution

  1. 1

    Start on ten.

    10

    You have not moved any spaces yet.

  2. 2

    Move one space right.

    10+1=11

    Each space to the right adds one.

  3. 3

    Take the other two steps.

    11+1=12,12+1=13

    These are the second and third moves, so you land on thirteen.

Answer

13

EXAMPLE 02

Order three numbers

Order 62, 56 and 60 from smallest to largest.

Worked solution

  1. 1

    Find the number with fewer tens.

    56=50+6

    Fifty-six has five tens; sixty and sixty-two each have six.

  2. 2

    Compare the two numbers with six tens.

    60<62

    With the same tens, zero extra ones is fewer than two.

  3. 3

    Write them from smallest to largest.

    56, 60, 62

    Each number comes after the one before it on the number line.

Answer

56, 60, 62

03 / YOUR TURN

Try it yourself.

Check your understanding

Which is larger: 74 or 71?

Show answer & reasoning

74

Both numbers have seven tens. Four ones is more than one one, so 74 is larger than 71.

Keep practising

6 worksheet questions

Read the questions online
  1. Which is smaller: 18 or 15?
  2. Order 34,31 and 33 from smallest to largest.
  3. Start on 12. Move two steps right. Where do you land?
  4. Start on 15. Move three steps left. Where do you land?
  5. Order 105,101 and 110 from smallest to largest.
  6. Noah says 68 is smaller than 65. Is he right? Explain.
Read the worked solutions
  1. Which is smaller: 18 or 15?

    15 comes before 18.

    15
  2. Order 34,31 and 33 from smallest to largest.

    All have three tens, so compare the ones.

    31,33,34
  3. Start on 12. Move two steps right. Where do you land?

    12 to 13 is one step; 13 to 14 is two.

    14
  4. Start on 15. Move three steps left. Where do you land?

    Count back: 14,13,12.

    12
  5. Order 105,101 and 110 from smallest to largest.

    Count onwards from 101 to check.

    101,105,110
  6. Noah says 68 is smaller than 65. Is he right? Explain.

    Both have six tens; eight ones is more than five.

    No. 68 is larger than 65.
Checking saved progress…
Curriculum reference & lesson scope

Australian Curriculum v9 and SA Curriculum Mathematics

Year 1 counting, place value and partitioning.

Official curriculum source ↗

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