Writing Number Sentences

MathematicsMultiplication & DivisionAges 10–11

Write simple numerical expressions that record calculations with numbers, and interpret numerical expressions without evaluating them (e.g. recognise that 3 × (18932 + 921) is three times as large as 18932 + 921)

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Teaching Table

Set out your lesson

Write grouped number expressions and explain their structure without needing to calculate their totals.

Activity

Ask what the brackets group in 3 × (6 + 2). Expect the sum 6 + 2. Ask whether that sum is positive. If the learner only gives the final result, ask them to describe the operations before calculating. Revisit brackets if needed.

Policy

Check readiness directly. Prerequisite availability is not attainment.

Use the supplied sheets in order: Show, Guided, then Try. Start with the readiness check. This chain may need several short sessions. Do not set a speed target. Read the active sheet on screen and use plain paper or a keyboard. No printer, cutting, purchase or internet is needed. The adult may read the exact prompt, but must record any hints, scribing or calculation help. Oral reasoning is allowed; it does not show independent reading or handwriting. Pause or split the lesson if needed. Keep the adult guide and keys private. Share the Show model during teaching. Before Try, put Show, Guided work and notes aside. Leave the fresh Try givens available. Give no answer or target method during the first attempt. If help is needed, give it and mark the attempt supported. Discuss the keys after the attempt; do not invent a learner result. These are paper or oral mathematics tasks. No personal data, public sharing, purchase, real-world measurement or experiment is required.

Record the actual response and assistance. These tasks do not establish mastery.

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.

Do not count a correct computed total as a structure-only comparison. Record whether the learner explained the common group.

Record the actual response and assistance. These tasks do not establish mastery.

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Write grouped number expressions and explain their structure without needing to calculate their totals.

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Check understanding

Write an expression for 'add 8 and 7, then multiply by 2' using parentheses
Explain what 4 × (365 − 12) represents without computing it
Compare two expressions and determine which is larger without evaluating

“Can your child look at '4 × (5 + 3)' and say 'that's 4 times the result of adding 5 and 3' — reading the expression as a description of a calculation, without having to work it out first?”

Curriculum record

Type: Representational
Subject: Mathematics
Domain: Multiplication & Division
Age range: Ages 10–11