Mathematics
Advanced
50 mins
Teacher/Student led
+65 XP
What you need:
IWB/Projector/Large Screen

Equivalent Expressions

Explore how repeated addition and multiplication express the same value. Use a balance beam to match equivalent expressions, then write your own multiplications.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedLook at these two ways of writing an amount: 3 + 3 + 3 and 3 × 3. Are they two ways of writing the same amount, or two different amounts?

    2 - Watch and Notice ~9 mins

    Watch the balance beam. On the left pan sits a repeated addition; on the right sits a multiplication. When both sides are worth the same, the beam sits level.

    This next pair uses different numbers, but both sides are still worth the same. Say what each side is worth, then check the beam agrees with you.

    3 - Try It Together ~7 mins

    We start on the beam below: 4 + 4 is set on the left, and together we build the matching multiplication on the right to level it. Then we work these three on the board the same way:

    • 3 + 3 + 3 + 3 → build the matching multiplication
    • 10 + 10 → build the matching multiplication
    • 7 + 7 + 7 → build the matching multiplication
    Key point

    Each time, level the beam.

    Level the beam

    4 - Write It as a Multiplication in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, write each repeated addition as a multiplication, then write the equals sentence in full:

    • 4 + 4 + 4
    • 5 + 5 + 5 + 5
    • 2 + 2 + 2

    Write the multiplication and the total. Count the groups first: for example, 6 + 6 = 2 × 6 = 12.

    5 - Class Challenge ~12 mins

    Key point

    Build and match these equivalent pairs with counters:

    • 3 + 3 → build the matching multiplication
    • 4 + 4 + 4 → build the matching multiplication
    • 2 × 6 → rewrite as a repeated addition
    • Stretch: find a multiplication that equals 5 + 5 + 5 + 5 + 5

    Hands-on Task

    Pupil practice
    Module 10 · Algebra: Patterns, Rules and Number Sentences Mixed
    Lesson 126 · Equivalent Expressions
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