Mathematics
Advanced
50 mins
Teacher/Student led
+65 XP
What you need:
IWB/Projector/Large Screen

Finding the Missing Number

Find missing numbers hidden in a box within number sentences by keeping both sides balanced, then check your answer by substituting the number back in.

Teacher Class Feed

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedHere is a puzzle: □ + 5 = 12. The box is hiding a number. What number do you think is hiding in the box to make both sides equal?

    2 - Watch and Notice ~12 mins

    Watch the balance beam. A box hides a number, and the beam only stays level when the box holds the right value. To find the box, we do the opposite of what is beside it. Whisper your prediction for each beam, then check that it is level.

    3 - Try It Together ~8 mins

    Key point

    Remember to do the opposite of the number beside the box. For □ − 2 = 6 the box must be bigger than 6, because 2 is taken away from it.

    We start on the balance beam with □ + 4 = 11. Set the box until the beam levels, then read off what the box holds. Then we talk through the next ones together: □ − 2 = 6, then 8 = □ + 3, then 10 + □ = 17.

    Find the box to level the beam

    4 - Solve Them in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, solve these four sentences and write the value of the box for each one:

    • □ + 4 = 11
    • □ − 2 = 6
    • 8 = □ + 3
    • 10 + □ = 17

    Then check each one by writing out the whole sentence with your number in place of the box, and read it back to yourself.

    5 - Class Challenge ~10 mins

    Key point

    When two boxes sit on the same side and hold the same number, the total splits into two equal parts. For □ + □ = 16, half of 16 is 8, so each box is 8. Check: 8 + 8 = 16.

    First we walk one new shape together on the board: □ + □ = 16. Both boxes match, so we halve the total to find one box, then put 8 back in to check. After that it is your turn on the beam. Set the box, press Check, and we confirm each one before moving on. First is □ + 6 = 14. Then comes 20 = 13 + □, where the box fills the gap. Next is the twin-box one, □ + □ = 16. Last is □ + 7 = 5 + 9, so work out the far side first, then find the box.

    Find the missing number

    Pupil practice
    Module 10 · Algebra: Patterns, Rules and Number Sentences Mixed
    Lesson 121 · Finding the Missing Number
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