MATHBONE JOURNAL

Why does making ten help with addition?

Use a ten frame to see a missing part before connecting it to addition.

Illustrative image: A learner and teacher splitting and combining counters
Illustrative learning scene

Foundations and learning approach

Build a picture of ten

Draw two rows of five spaces and fill seven. Ask how many spaces remain, using the empty spaces to explain the missing three.

Explore 7 + 5

Split five counters into three and two. Move three to complete ten with seven, leaving two: 7 + 5 = 10 + 2 = 12.

For 7 + 5, split 5 into 3 and 2. Fill the three empty ten-frame spaces and keep the remaining 2.
Connect the picture with the reasoning

For 7 + 5, split 5 into 3 and 2. Fill the three empty ten-frame spaces and keep the remaining 2.

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Connect the model with an explanation

Ask why three were moved and why the total stayed the same. Change the starting numbers and let the learner choose the missing part.

ONE IDEA · THREE REPRESENTATIONS

Explore one problem through CPA

C · Concrete

Explore with objects

Place 8 counters in a ten frame. Use 2 of another 5 counters to fill the empty spaces.

P · Pictorial

Represent the relationship

Draw 2 rows of 5 cells. Colour 8 in one colour and 2 in another, then draw 3 dots outside.

A · Abstract

Connect to mathematical symbols

Record 8 + 5 = 10 + 3 = 13 and explain why rearranging has not changed the total.

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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