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YEAR 1 · ADDITION AND SUBTRACTION · 12 MIN

Joining and taking away

Show what happens when groups join or some objects are taken away.

In this lesson

Before you start
  • Count collections to 20 and split a whole into parts.
01 / LEARN

Understand the idea.

Joining makes a new total

When objects join, keep the first group and add the arriving objects. The plus sign records this: 8+4. You can count everything, or keep eight in your head and count on only the four new objects.

Taking away leaves fewer

When objects are taken away, start with the whole collection and remove the named amount. Count only what stays. The minus sign records taking away: 15−6. Acting out the story helps you choose whether to add or subtract.

02 / WORKED EXAMPLES

See the method in action.

EXAMPLE 01

More birds arrive

Eight birds are on a fence. Four more land. How many now?

Worked solution

  1. 1

    Record the birds already there and those arriving.

    8+4

    All eight birds stay, and four more join them.

  2. 2

    Count on four from eight.

    9, 10, 11, 12

    Each new count includes one of the four arriving birds.

  3. 3

    State the new total.

    8+4=12

    Twelve birds are now on the fence.

Answer

12 birds.

EXAMPLE 02

Blocks are put away

There are fifteen blocks. Put six away. How many stay out?

Worked solution

  1. 1

    Start with all fifteen blocks.

    15−6

    Six blocks leave the group that stays out.

  2. 2

    Take away five first.

    15−5=10

    Five of the six blocks are put away, leaving ten out.

  3. 3

    Take away the last block.

    10−1=9

    Five and one make six, so nine blocks stay out.

Answer

9 blocks.

03 / YOUR TURN

Try it yourself.

Check your understanding

Six children are playing. Three more join. Which calculation matches?

Show answer & reasoning

6 + 3 = 9

The six children stay and three children join them. Add the two groups: 6+3=9.

Keep practising

6 worksheet questions

Read the questions online
  1. Five shells and three more shells are joined. How many shells?
  2. Twelve pencils are out. Four are put away. How many remain?
  3. Nine children are on a bus. Two get off. How many stay?
  4. Seven red beads and six blue beads are joined. How many beads?
  5. There are eighteen counters. Take away eight. Write a calculation and answer.
  6. Ari has ten cards. Four cards are given to him. Is 10−4 a matching calculation? Explain.
Read the worked solutions
  1. Five shells and three more shells are joined. How many shells?

    5+3=8.

    8 shells.
  2. Twelve pencils are out. Four are put away. How many remain?

    12−4=8.

    8 pencils.
  3. Nine children are on a bus. Two get off. How many stay?

    Taking two away from nine leaves seven.

    7 children.
  4. Seven red beads and six blue beads are joined. How many beads?

    7+6=13.

    13 beads.
  5. There are eighteen counters. Take away eight. Write a calculation and answer.

    Eighteen is ten and eight. Removing eight leaves ten.

    18−8=10.
  6. Ari has ten cards. Four cards are given to him. Is 10−4 a matching calculation? Explain.

    He receives cards, so the total increases.

    No. Use 10+4=14.
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Curriculum reference & lesson scope

Australian Curriculum v9 and SA Curriculum Mathematics

Year 1 additive situations and number bonds within twenty.

Official curriculum source ↗

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