Properties of Operations

MathematicsMultiplication & DivisionAges 8–9

Apply properties of operations (commutative, associative, distributive) as strategies to multiply and divide

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Teaching Table

Set out your lesson

Practise the bounded task in Properties of Operations; see exact limits before inferring broader coverage.

Activity

Knows multiplication facts; parentheses mean group these factors first.

Policy

Exact directed source edges retained; earlier authorship is not learner attainment.

Materials

These supplied stage cards
Scrap paper and pencil; oral/pointing response where appropriate

Sequence

Read readiness and decide on support without treating prerequisite authoring as learner readiness.
Open Show first and explain its model.
Use Guided Try with support and its separate adult key.
Close Show and guided keys before Try, unless this Try is explicitly supported.
Reflect on an actual attempt, including help used.

No Printer

Use the supplied screen cards; copying the exact task to paper is optional, not required.

Privacy

Use only invented scenarios and optional anonymous local notes. Do not request names, photos, family finances, medical data, accounts or uploads. Stop uncomfortable physical activity.

Use the complete materials on screen or print only the current sheet. Keep adult guidance out of learner view. Retain an earlier model only when the current step supplies it as context.

Teaching limits and safe use

These are finite task opportunities, not proof of mastery. Record what was attempted and what support was used.

Selected multiplication strategies with a division counterexample, not complete division-strategy coverage.

Use only invented scenarios and optional anonymous local notes. Do not request names, photos, family finances, medical data, accounts or uploads. Stop uncomfortable physical activity.

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Entire curriculum

1590 concepts · 8 subjects

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Teaching approaches

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1 approach

Selected Default Gakuva

Practise the bounded task in Properties of Operations; see exact limits before inferring broader coverage.

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Learning resources

External links for extra practice. They do not replace Gakuva’s teaching approach.

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Check understanding

Use commutativity: if 6 × 4 = 24 then 4 × 6 = 24
Use the distributive property: 8 × 7 = 8 × 5 + 8 × 2 = 40 + 16 = 56
Use associativity to multiply three numbers: 2 × 3 × 5 = 6 × 5 = 30

“Can your child use tricks like breaking up a number — working out '6 × 14' as '6 × 10 + 6 × 4 = 60 + 24 = 84' — to make multiplication easier?”

Curriculum record

Type: Conceptual
Subject: Mathematics
Domain: Multiplication & Division
Age range: Ages 8–9

Standards

ccss-math:3.OA.5