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Singapore Primary Maths

Primary 1 maths · Whole numbers · About 8 minutes

Count and represent numbers to 100

Watch the same counters move into groups of ten.

Start the interactive lesson →Practise: Firefly forest

What you will learn

Models used: number sentences, stories, diagrams.

Let’s make groups of ten

Here are some counters. Let’s put them into groups so they are easier to count.

  1. Each small counter is one. Each outlined group holds ten of those same counters. Moving them does not change how many we have.

    Here are some counters. Let’s put them into groups so they are easier to count.

    Each small counter is one. Each outlined group holds ten of those same counters. Moving them does not change how many we have.

    101010Let’s put these counters into groups.
  2. Each small counter is one. Each outlined group holds ten of those same counters. Moving them does not change how many we have.

    Watch these ten counters move together. Ten ones make one ten. The other counters are still waiting.

    Each small counter is one. Each outlined group holds ten of those same counters. Moving them does not change how many we have.

    One group of tenStill loose1010101 ten · 22 ones
  3. Each small counter is one. Each outlined group holds ten of those same counters. Moving them does not change how many we have.

    Here come ten more. Now we have two tens. Ten, twenty.

    Each small counter is one. Each outlined group holds ten of those same counters. Moving them does not change how many we have.

    Groups of tenStill loose1010102 tens · 12 ones
  4. Each small counter is one. Each outlined group holds ten of those same counters. Moving them does not change how many we have.

    We can make one more ten. Ten, twenty, thirty. There are two counters left over.

    Each small counter is one. Each outlined group holds ten of those same counters. Moving them does not change how many we have.

    Groups of tenTwo left over1010103 tens · 2 ones
  5. Each small counter is one. Each outlined group holds ten of those same counters. Moving them does not change how many we have.

    Three tens make thirty. Add the two ones: thirty-one, thirty-two. We have thirty-two counters altogether.

    30 + 2 = 32

    Each small counter is one. Each outlined group holds ten of those same counters. Moving them does not change how many we have.

    Groups of tenTwo left over10101030 + 2 = 32
What did the picture help us see?

Three tens make thirty. Add the two ones: thirty-one, thirty-two. We have thirty-two counters altogether.

Worked example: A new example, together

What is the value in the ones column of 55?

10515
  1. The number at the top of each column is the value of one counter in that column.

    Watch the same counters move into groups of ten.

    A digit counts units of its place value.

    10515
  2. The number at the top of each column is the value of one counter in that column.

    Locate the ones column.

    A digit tells us how many units there are. Its position tells us what size those units are; that is why a zero can matter.

    10515
    What is the value in the ones column of 55?

    5

  3. The number at the top of each column is the value of one counter in that column.

    The digit is 5.

    A digit tells us how many units there are. Its position tells us what size those units are; that is why a zero can matter.

    10515
  4. The number at the top of each column is the value of one counter in that column.

    5 × 1 = 5.

    A digit tells us how many units there are. Its position tells us what size those units are; that is why a zero can matter.

    10515
  5. The number at the top of each column is the value of one counter in that column.

    Check the result against the question we started with.

    Adding the place values rebuilds 55.

    We found 5. A digit counts units of its place value.

    10515

Common mistakes to discuss

Check your understanding

Explain your reasoning to an adult, then try a fresh question in the interactive lesson. A result from one attempt is not proof of lasting mastery.

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