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.

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

Use pairs to build twos facts

Halving checks division facts

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

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.

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.

• 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.

This table gives closest-topic mapping for search and planning. The Australian Curriculum code is exact; overseas entries are broad equivalents because each jurisdiction structures outcomes differently.

Curriculum equivalents for Recall and demonstrate proficiency with multiplication facts for twos; extend...

Mapped skill: recall and demonstrate proficiency with multiplication facts for twos; extend and apply facts to develop the related division facts using doubling and halving

These references identify matching or closely related learning. Curriculum sequence, terminology and depth vary, so teachers should use the mapped skill and lesson difficulty to confirm suitability.

Australian Curriculum v9.0 is the canonical source for this SkillrHub lesson. Victoria and NSW entries name the closest published state codes or outcomes; international entries are planning references rather than claims of identical curricula.

• Australian Curriculum Version 9.0
• Victorian Curriculum F-10
• NSW Curriculum
• Common Core State Standards
• Next Generation Science Standards
• England National Curriculum
• New Zealand Curriculum
• NCERT textbooks

• AC9M2N01: Recognise, represent and order numbers to at least 1000 using physical and virtual materials, numerals and number lines
• AC9M2N02: Partition, rearrange, regroup and rename two- and three-digit numbers using standard and non-standard groupings; recognise the role of a zero digit in place value notation
• AC9M2N03: Recognise and describe one-half as one of 2 equal parts of a whole and connect halves, quarters and eighths through repeated halving
• AC9M2N04: Add and subtract one- and two-digit numbers, representing problems using number sentences, and solve using part-part-whole reasoning and a variety of calculation strategies
• AC9M2N05: Multiply and divide by one-digit numbers using repeated addition, equal grouping, arrays, and partitioning to support a variety of calculation strategies
• AC9M2N06: Use mathematical modelling to solve practical problems involving additive and multiplicative situations, including money transactions; represent situations and choose calculation strategies; interpret and communicate solutions in terms of the situation
• AC9M2A01: Recognise, describe and create additive patterns that increase or decrease by a constant amount, using numbers, shapes and objects, and identify missing elements in the pattern
• AC9M2A02: Recall and demonstrate proficiency with addition facts to 20; extend and apply facts to develop related subtraction facts