Mathematics
Advanced
50 mins
Teacher/Student led
+80 XP
What you need:
IWB/Projector/Large Screen

Forming an Equation from a Story

Learn to turn everyday stories into equations by naming an unknown letter and spotting signal words that tell you which operation to use. Then solve to find the missing number.

Teacher Class Feed

Load previous activity

    1 - Getting Started ~4 mins

    Example

    Here is a story: Niamh has some books. Her sister gives her 4 more. Niamh now has 11 books.

    Illustration for Getting StartedHow could we write this story using a letter for the number of books Niamh started with?

    2 - Watch and Notice ~9 mins

    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.

    3 - Try It Together ~8 mins

    First we feed Conor's story through the machine together, then we talk through two more stories on the board:

    • Conor had some sweets, ate 3, and has 9 left. We feed this one through the machine.
    • Saoirse saved €5 a week for w weeks and has €40. We work this one out on the board.
    • A shelf holds 6 books; the library has 48 books, so how many shelves? We work this one out on the board too.
    Key point

    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.

    Feed Conor's story through the machine

    4 - Write the Equation in Your Copy ~4 mins

    COPYBOOK MOMENT

    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):

    • Let s = the sweets Conor started with
    • s − 3 = 9
    • s = 12

    Saoirse's savings (multiply):

    • Let w = the number of weeks
    • 5 × w = 40
    • w = 8

    Now write the same three lines for the shelf story on your own.

    5 - Class Challenge ~8 mins

    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.

    Stories into equations

    Pupil practice
    Module 8 · Algebra: Patterns, Expressions and Equations Algebra
    Lesson 106 · Forming an Equation from a Story
    Download Activity Book page (PDF)
    123learn · Online learning platform

    Unlock the full learning experience

    You're previewing this lesson. Get full access to this lesson and hundreds more — each one ready to teach, with interactive activities, printable resources and pupil progress tracking built in.

    Hundreds of curriculum-aligned lessons
    Interactive activities in every lesson
    Printable resources & progress tracking
    Copyright Notice
    This lesson is copyright of Coding Ireland 2017 - 2025. Unauthorised use, copying or distribution is not allowed.
    🍪 Our website uses cookies to make your browsing experience better. By using our website you agree to our use of cookies. Learn more