Look at the two pans of the balance. On the left is a mystery bag holding x counters, along with 4 loose counters. On the right are 9 counters. The beam is level, so both sides weigh exactly the same.
How many counters are hiding in the bag?
Give five seconds of quiet think-time before any hands go up. Take two or three hands-up answers, not open call-outs. Do not confirm the answer yet — the next step will settle it.
Listen for pupils who count up from 4 to 9 versus pupils who reason 'take the 4 away from both sides'. Both are welcome now; the second is the idea the lesson builds on.
Look at three balanced equations on the scales. Each one has a mystery bag on it. Notice how each bag ends up alone on its side.
The next bag is drawn short: 3 counters have already been taken out of it. On the scales those 3 are put back on both pans. Filling the bag up again is how we undo a take-away, so a minus in the equation is undone by adding back.
This last one has three bags together. The pans are shared into three equal groups.
Do not read the working aloud line by line — point at each pan and let the class say what has to happen before you reveal it.
We solve three on the scales together: first x + 6 = 10, then x − 2 = 5, then 4x = 12. Remember the take-away one: the bag has already lost 2, so we add 2 back to both pans. For each one the whole class names the move out loud together, then one pupil at the board slides the bag's value until the beam sits level and presses Check.
Talk this one through together — the class names the move aloud, one pupil works the slider at the board, and the class agrees or corrects out loud before the pupil presses Check.
Before touching the slider, ask the class to name the move: take 6 off both / add 2 to both / share into 4 equal groups. Then a pupil slides the unknown to the value that levels the beam and presses Check. Watch for the x − 2 = 5 one — the class must add, not subtract; if the beam tips the wrong way, that is the teaching moment. Revoice a strong answer: so whatever we do to one pan we must do to the other, or it stops balancing.
First we write one equation together on the board so you can see exactly how the working looks in your copy.
Example: x + 5 = 12
Subtract 5 from both sides:
x + 5 − 5 = 12 − 5
x = 7
Check by substituting: 7 + 5 = 12. Both sides match, so it balances.
Now in your maths copy, solve each one-step equation the same way. Show the both-sides line, write what you do to both sides, then the answer. Remember: for a take-away, the bag has already lost some, so you add that amount back. Finish each one by substituting your answer back in to check it balances.
Before copies open, model one full written solution on the board. Use x + 5 = 12:
Leave the board example up while they work. Walk the room glancing at whether pupils write the same operation on both sides and then substitute back, this is whole-class copybook practice, not marking. Watch for the subtraction equation (x − 5 = 8) where pupils subtract rather than add back; a quiet prompt is enough.
We work through these on the scales: x + 7 = 12, then 4x = 24, then x − 9 = 6, then 3x = 9. For each one, name the move, slide the bag's value, and press Check.
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.
Use the Check tick as part of the narration: yes — that's it. For each round the whole class predicts and calls out; the pupil at the board slides the value and presses Check. As a talking point after the whole-number set, ask the class what would happen with a bag like 2x = 9 — two equal bags sharing 9 could not each be a whole number, so the bag would hold four and a half. This shows the class that solutions can be decimals, without relying on the slider landing on a fraction live.
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