MATHBONE JOURNAL

See multiplication through rows and columns

Arrange equal groups and connect them with multiplication.

Illustrative image: Children arranging toy animals in rows and columns
Illustrative learning scene

Primary

Build equal rows

Place three rows of four counters. Count individually or add 4 + 4 + 4 before connecting the arrangement with 3 × 4.

Look from another direction

Turn the paper to see four rows of three. The total is still twelve; explain how the new view connects to 4 × 3.

Three rows of four dots form 3 equal groups and a total of 12 dots.
Connect the picture with the reasoning

Three rows of four dots form 3 equal groups and a total of 12 dots.

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Use the structure to find a missing number

Cover some counters and reason from the row structure. Check that each row contains the same number before using multiplication.

ONE IDEA · THREE REPRESENTATIONS

Explore one problem through CPA

C · Concrete

Explore with objects

Arrange toys in 3 rows of 4 and check that the rows are equal.

P · Pictorial

Represent the relationship

Draw 3 rows of 4 dots and circle each row to show equal groups.

A · Abstract

Connect to mathematical symbols

Connect 4 + 4 + 4 = 12 with 3 × 4 = 12, explicitly meaning 3 groups of 4.

Ask your child to identify how the objects, picture and numbers represent the same quantities. Return to objects or pictures when the connection is unclear.

Keep exploring together

Choose activities that match the learner’s knowledge and readiness, and discuss what you notice. Explore the curriculum or parent guide below.

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