Year 2 Mathematics · AC9M2A03

Recall and demonstrate proficiency with multiplication facts for twos; extend and apply facts to develop the related division facts using doubling and halving

Facts for twos come from equal pairs and doubles. Halving connects each two-times fact to a related division fact

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Learning goalsSay it simply

Facts for twos come from equal pairs and doubles. Halving connects each two-times fact to a related division fact.

Learning sequence: Double → Count by 2s → Multiply → Halve → Divide

Success looks like

  • Recall twos facts
  • Use doubles
  • Use halving
  • Connect multiplication and division
  • Explain equal pairs
Key conceptTeach from the board

Use pairs to build twos facts

2,4,6,8,105 groups of 25 × 2 = 10

Counting by twos is repeated addition of equal pairs.

Halving checks division facts

12 ÷ 2 = 6half of 12 is 66 + 6 = 12

Doubling and halving are connected inverse ideas.

Clean visual examplesOne-page board

Clean one-page examples

AC9M2A03 - Recall and demonstrate proficiency with multiplication facts for twos; extend and apply facts to develop the related division facts using doubling and halving
Example 1

2,4,6,8,10 5 groups of 2 5 × 2 = 10

Example 2

12 ÷ 2 = 6 half of 12 is 6 6 + 6 = 12

Example 3

Pair count Make pairs of socks or counters and count by twos. 2 4 6 8 10

Example 4

Double it Double numbers to 10 and connect them to 2-times facts. double 7 14 7 × 2

Curriculum examplesCurriculum examples

The content description and elaborations below show the curriculum ideas taught in this unit. Items marked as teaching context support lesson planning.

  • Content description: recall and demonstrate proficiency with multiplication facts for twos; extend and apply facts to develop the related division facts using doubling and halving
  • E1: recognising and relating terms such as double, twice and multiply by 2, halve and divide by 2 using physical and virtual materials; for example, colouring numbers on a hundreds chart to represent doubles and use to recognise halves; recognising the doubling pattern and applying to find related facts such as for 8 twos think 2 eights
  • E2: doubling and halving collections to practise and develop fluency with multiplication and division facts for twos leading to recall of these facts
  • E3: establishing an understanding of doubles and near doubles using physical or virtual manipulatives; for example, using manipulatives to establish that doubling 5 gives you 10 then extending this doubling fact to respond to the question, “How can you use this fact to double 6 or double 4?”
  • E4: develop fluency with doubling and halving numbers within 20 using physical or virtual materials and playing doubling and halving games; for example, using a physical or virtual dice and choosing whether to double or halve to reach a target number
Questions and answersWith answers

Key idea: Facts for twos come from equal pairs and doubles. Halving connects each two-times fact to a related division fact.

Remember

  • Recall twos facts
  • Use doubles
  • Use halving
  • Connect multiplication and division
  • Explain equal pairs

Quick questions

  • Count by twos from 2 to 20.
  • What is 7 × 2?
  • What is half of 18?
  • Write a division fact related to 6 × 2 = 12.

If an answer is uncertain, return to the model and explain what each part represents before calculating or drawing a conclusion.

Practice and reviewReady for practice
  • Counting by ones — Use pairs and skip count by twos.
  • Double and half mixed — Double joins two equal parts; half splits into two equal parts.
  • Unequal shares — Division by 2 means two equal groups.

Read the topic guide and use the teacher slide for instruction. Students can then use the worksheet for written work, open Practice for supported feedback, or take the Test when they are ready.

Curriculum alignmentStart here

Facts for twos come from equal pairs and doubles. Halving connects each two-times fact to a related division fact.

Learning sequence: Double → Count by 2s → Multiply → Halve → Divide

Success looks like

  • Recall twos facts
  • Use doubles
  • Use halving
  • Connect multiplication and division
  • Explain equal pairs
Related resourcesKeep teaching

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