Arrays for multiplication (age 9+)

MathematicsMultiplication & DivisionAges 9–10

Divide numbers up to four digits by a one-digit number using short division (and place-value/array strategies); interpret remainders appropriately for the context

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Teaching Table

Set out your lesson

Use short division and interpret remainders from the problem.

Earlier learning

Use the readiness check below. A listed guide does not establish readiness.

Activity

Givens

R1. Calculate 6 × 8. R2. Calculate 48 ÷ 6. R3. How many tens make one hundred?

Response

R1. Response: ____ R2. Response: ____ R3. Response: ____

Credit

Original Gakuva calculation cards and diagrams. Canonical contract: Marble Skill Taxonomy v1, Generative Spark, Inc., commit 96a7933754af672e1bfdbf7ecb05c325860c6e0d. Database: ODbL-1.0. Content: CC-BY-SA-4.0.

No Printer

Read the active card on screen. Copy its blank rows onto plain paper. Use extra space for any drawing. Record adult reading, hints, and transcription separately.

Policy

Use the supplied readiness card before Show. Record the actual responses and help. Pause for prerequisite teaching when needed. Use this check before Show. Record the actual response and any help used.

Use paper and a pencil. Work on one problem at a time. Split the set across sessions if useful. Keep private keys separate.

How this lesson works

Actual bracket layouts and place-valued rows support paper work.

Record the learner’s actual response and any help used. These activities 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.

A correct oral result alone does not establish the required written method.
These finite calculations do not establish general fluency or mastery.
Keep divisor roles and remainder meanings explicit.

Record the learner’s actual response and any help used. These activities do not establish mastery.

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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

Use short division and interpret remainders from the problem.

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Learning resources

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Check understanding

Calculate 4,932 ÷ 6 using short division
Solve 125 ÷ 8 and interpret: 15 remainder 5 means 15 full bags with 5 left over
Use the multiplication–division relationship to check a division answer

“Can your child use the short division ('bus stop') method to work out something like '2,457 ÷ 6', and decide what to do with any remainder left over?”

Curriculum record

Type: Procedural
Subject: Mathematics
Domain: Multiplication & Division
Age range: Ages 9–10