Intermediate
40 mins
Teacher/Student led
+75 XP
Teacher-led from the board. Pupils do not need a device, but can follow on one.

Turnarounds: 2 + 9 Is 9 + 2

In this lesson you will see that turning around an addition fact by swapping the numbers does not change the total. You will practise starting from the bigger number to count on with fewer jumps.

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    1 - Getting Started ~3 mins

    Two towers of interlocking cubes side by side. The first has 2 red cubes on top of 9 blue cubes. The second is the same tower turned end over end: 9 blue cubes on top of 2 red cubes. A curved arrow goes from the first to the second.

    Look at these two cube towers. One is 2 red cubes joined to 9 blue cubes. The other is the same tower flipped end over end.

    Did the tower get any taller when we turned it around?

    2 - Watch and Notice ~9 mins

    Look at the two number lines. The top one starts on 2 and makes 9 little jumps. The bottom one starts on 9 and makes 2 little jumps. Where does each one land?

    Two number lines from 0 to 20, one above the other, every number named. 2 + 9: a dot on 2 and nine hops. 9 + 2: a dot on 9 and two hops. Both rows of hops end above the same number. Beside each sum an empty box.

    They land on the same number. 2 + 9 and 9 + 2 are a turnaround: the same two numbers, swapped, like the cube tower turned round.

    Now 4 + 13 and 13 + 4. Which one has fewer jumps? Do they land on the same number?

    Two number lines from 0 to 20, one above the other, every number named. 4 + 13: a dot on 4 and thirteen hops. 13 + 4: a dot on 13 and four hops. Both rows of hops end above the same number. Beside each sum an empty box.

    The total stays the same, so we stand on the bigger number and make fewer jumps.

    3 - Try It Together ~9 mins

    Turn it round! For each sum, say the bigger number and put it in your head. Then count on the smaller number on your fingers. The last number you say is where you land.

    Four number lines from 0 to 20, every number named, with a sum beside each and an empty box: 3 + 9, 2 + 11, 4 + 10 and 1 + 15.

    We will do 3 + 9, then 2 + 11, then 4 + 10, then 1 + 15.

    4 - Write the Turnaround Pair ~3 mins

    COPYBOOK MOMENT

    In your maths copy, write these two number sentences one under the other:

    • 2 + 9 = 11
    • 9 + 2 = 11

    Now make up a turnaround pair of your own: choose any two numbers, write the sum both ways round, and check that both land on the same total.

    Pupil practice
    Module 2 · Addition Within 20: Combining, Plus and Equals Number
    Lesson 21 · Turnarounds: 2 + 9 Is 9 + 2
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