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

Finding the Missing Number

Find the missing number when you know the whole and one part, using a balance beam to check that both sides weigh the same.

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    1 - Getting Started ~4 mins

    Look at the balance. On one pan there are 10 cubes. On the other pan there are 4 cubes and a covered box. The beam is level, so both pans weigh the same.

    How many cubes are hiding under the box?

    box + 4 = 10

    2 - Watch and Notice ~9 mins

    Watch these balances. Each one has a box hiding a number, and the whole is on the other pan. Each balance shows the missing number that makes the beam level.

    Watch this one, the whole number is now on the left, and the box is on the right.

    This last one takes away. Here the box is the whole, so it must hold both parts. Look at the box pan holding both parts together, the box holds more than either part on its own.

    Now on the take-away balance the box pan and the other pan both weigh the same. So how many does the box hold?

    3 - Try It Together ~11 mins

    Now we work through these together at the board, finding the number hiding in the box each time:

    • □ + 5 = 11
    • □ + 6 = 13
    • 12 = □ + 4
    • □ − 3 = 5

    Slide the unknown on each balance until the beam hangs level, then read the box.

    Find the missing number together

    4 - Work It in Your Copy ~2 mins

    COPYBOOK MOMENT

    In your maths copy, solve this number sentence. Write the missing number in the box, then write the full true sentence underneath.

    • □ + 5 = 12

    5 - Class Challenge ~8 mins

    Your turn to practise — find each hidden number:

    • □ + 2 = 9
    • □ + 7 = 15
    • 13 = □ + 5
    • □ − 3 = 8

    Remember: when the box is the whole, it holds both parts put back together. Level the beam each time, then press Check.

    Find the missing number

    Pupil practice
    Module 10 · Algebra: Patterns, Rules and Number Sentences Mixed
    Lesson 112 · Finding the Missing Number
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