Mathematics
Advanced
50 mins
Teacher/Student led
+80 XP
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IWB/Projector/Large Screen

Solving One-step Equations

Solve one-step equations by keeping both sides of the balance equal, using inverse operations to isolate the mystery number, then check your answer by substituting it back.

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    1 - Getting Started ~4 mins

    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?

    2 - Watch and Notice ~9 mins

    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.

    3 - Try It Together ~10 mins

    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.

    Balance the bag

    4 - Solve It in Your Copy ~3 mins

    COPYBOOK MOMENT

    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 + 55 = 125
    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.

    • x + 7 = 11
    • x − 5 = 8
    • 2x = 14
    • x + 3 = 9

    5 - Class Challenge ~8 mins

    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.

    Solve to balance

    Pupil practice
    Module 10 · Algebra: Patterns, Expressions and Equations Mixed
    Lesson 111 · Solving One-step Equations
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