Here is a story: Niamh has some books. Her sister gives her 4 more. Niamh now has 11 books.
How could we write this story using a letter for the number of books Niamh started with?
Give five seconds of quiet think-time before hands go up. Take two or three hands-up answers, not open call-outs.
Listen for a pupil who reaches for a letter (b, or any letter) for the starting number rather than jumping straight to the answer 7 — steer toward b + 4 = 11 as the shape we want, but do not resolve it yet; that is the next step's job.
Look at the illustration. Notice how a story's words become an operation, a number, and a letter for the unknown. The letter marks the missing number that goes into the machine, and we work back from the output to find it.
First we feed Conor's story through the machine together, then we talk through two more stories on the board:
For Conor's story we name the letter, feed it through the machine, and read off the unknown. For the other two we write the equation on the board and solve it together.
Talk this one through together — pupils take turns at the board and the class agrees or corrects out loud.
The machine below is set to subtract 3, so it matches Conor's story only; feed that one through it. For the savings and shelf stories the machine's rule would need to change, so keep those two on the board: ask for the signal word (a week for w weeks → multiply; holds 6, how many shelves → divide), name the letter, then write and solve the equation without the machine. Revoice a strong answer: so the story said 'left', and that told us to take away.
In your maths copy, write a three-line solution for each story. First name the unknown letter. Then write the equation. Then solve for the unknown.
Here are two worked layouts to follow.
Conor's sweets (take away):
Saoirse's savings (multiply):
Now write the same three lines for the shelf story on your own.
Walk the room glancing at the three-line layout — this is whole-class copybook practice, not marking. Watch for pupils who skip the "name the letter" line and jump straight to an answer. Only the shelf story is left for pupils to write themselves, so the timing is comfortable for a mixed-ability class.
Today we work through these stories together, spotting the operation each time before we solve it. They step up in difficulty, and the last one hides its operation inside a sharing story.
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.
The word-problem interactive grades the operation as well as the answer, so use the ✓ as part of the narration: yes — it wanted 'altogether', so add, and 21 is right. The last problem, Football teams, is a division dressed up in a sharing story; hold the class on the signal words (splits into, teams of) before anyone types. If the board is down, hand out the printable worksheet and run the same stories on paper.
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