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Representing Addition and Subtraction

Represent addition and subtraction using objects, drawings, and mental images

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What a learner can do afterwards

  • Use cubes or counters to model addition and subtraction within 10
  • Draw and check a picture that shows a subtraction situation
  • Use fingers to model a small addition or subtraction problem

1 · Read

You have joined groups and taken things away. Show each thing with one block, counter, finger, or mark. Addition joins groups. You can say 'plus'. Show both groups and count each thing once. You can also picture the groups in your mind.

Tap each block and count out loud.
2 blocks and 2 more blocks make 4. Count both groups.
Try it together

To show subtraction, draw the starting group. Cross out one mark for each thing taken away. Count only the marks without crosses. Mia draws 6 apples and crosses out 1. She counts 5 apples left.

For 2 plus 1, raise 2 fingers on one hand and 1 on the other. Count all 3 raised fingers. For 5 take away 3, raise 5 fingers and fold 3 down. Count the 2 fingers still up.

Try it together

Check both numbers in a model. For 7 take away 4, draw 7 dots and cross out 4. If only 1 has a cross, keep crossing dots and counting the crosses until you reach 4. With counters, move 4 away. Count only the counters that stayed.

Try it together

Follow each change in order. For 1 block, 1 more, and 2 more, draw all three groups. Count 4 blocks. For 2 apples and 2 more, draw 4 apples. Then cross out 2 to show 2 taken away. Count the 2 apples left.

Show your addition and subtraction with objects, drawings, or fingers.

Lesson and practice text written for this dataset.

Readings and extra questions written for this dataset.

More to read

From blocks to marks

Set 1 block beside a group of 3 blocks. Touch each block once as you count. Your count ends at 4.

Make a mark on paper for each block. Draw 1 mark and then 3 more. There should be 4 marks, just as there are 4 blocks. Check that every block has one mark.

Two ways to show taking away

Put 7 counters on a mat. Slide 2 off the mat. Count the counters still on it: 1, 2, 3, 4, 5.

Try the same action on paper. Draw 7 circles and cross out 2. The circles without crosses stand for the counters still on the mat. Both models show 5 remaining.

Raised and folded fingers

Raise 3 fingers on one hand and 1 on the other. Count all the raised fingers. There are 4.

Keep those fingers raised, then fold 2 down. Look at the fingers still up. There are 2. Raising more fingers can show things joining. Folding fingers down can show things being taken away.

Check before counting

Draw a picture for 9 take away 3. First check that you drew 9 dots. Then check that exactly 3 dots have crosses.

If only 2 dots have crosses, put a cross on 1 more dot. Now the picture shows the requested action. Count the dots without crosses: 1, 2, 3, 4, 5, 6.

2 · Watch

به انگلیسی

Take it off screen

Print a worksheetA4 with an answer key page for grown-ups. No screen, no internet.

Where it sits

Where this leads

Jobs that lean on this skill. Follow one to see everything it is built on.

Then practise

17 questions wait behind this lesson, each with its answer explained. Every answer feeds the sky: stars light as they are learned, and dim when it is time to come back.

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Representing Addition and Subtraction · Mathematics, ages 4 to 6 · LightMySky