A number sentence is a maths statement with numbers and an equals sign, like 5 + 2 = 7. Look at this claim on the board: 5 + 2 = 7, and then 7 = 5 + 2. Is the second one allowed? Hands up: does the equals sign only work with the answer on the right, or can the answer sit on the left too?
Take three hands-up answers, not open call-outs. Do not settle it yet — this is the question the whole lesson answers. Listen for the very common belief that = means 'the answer comes next', and just note it aloud without correcting: some of you are saying it has to be on the right — let's test that today.
Watch three sets of scales. Look at whether the beam is level or tilted, and read what is on each pan. When is the beam level, and what does a level beam tell us?
Hands up: is that beam telling us the two sides match, or not?
This last one is the surprise. One pupil predicts: can two different-looking sides still balance?
Work each reveal live, pausing for the class question before naming what the beam shows.
Hold back the word 'true' until the class has said 'the sides match' in their own words first.
Now it is your turn on the board. One pan shows 7 and the other pan is empty. Build a sum on the empty pan so the beam sits level. There is more than one right answer, so find a few different sums that all make 7.
Talk this one through together — pupils take turns at the board and the class agrees or corrects out loud.
The widget shows 7 on one pan and an empty pan to fill. Bring pupils up one at a time to build a matching sum: welcome 5 + 2, 4 + 3, 6 + 1, and name that there is more than one way to balance the same value.
If the class is flying, you can clear the pans and set a fresh target by hand — try 10, then 12, then put 3 + 7 on one pan and ask pupils to level the other side without just copying 3 and 7 back (5 + 5, 8 + 2 also work). Revoice a strong answer: so the beam only cares about the total, not which numbers you used.
In your maths copy, write three true number sentences that balance. Use a different total for each one, for example:
Then write one number sentence that does not balance. Tick the three true ones.
Walk the room glancing for a level total on each ticked sentence — this is whole-class copybook practice, not marking. Watch for pupils who make all three sentences equal the same number by habit; steer them to three different totals. A false sentence should be clearly unequal.
Now you balance scales where one pan already has a sum. Work these in order: 8 = ? + 5, then 4 + 6 = ? + 3. Each time, find the missing number that keeps the beam level, and check it before moving on.
The last two are bigger, so build them the same way each time: total the whole side you can first, then work out the missing part. For 12 = 5 + 4 + ?, add 5 + 4 to make 9, so you need what plus 9 makes 12. For 7 + 8 = 10 + ?, total the left side first: 7 + 8 = 15. Now ask: what plus 10 makes 15? Find each missing number and let the beam confirm it.
This is the practice round — pupils take turns at the board, check each answer, and the class confirms before moving on. Keep the board work brisk rather than over-explaining.
For the last two, do the totalling step live on the board so pupils see it: build 5 + 4 = 9 on screen first, then 7 + 8 = 15. Ask for a prediction of the missing number before Check, then let the beam confirm. Revoice: you totalled one whole side first, then found the missing part.
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