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

Equivalent Fractions

Discover how the same amount of pizza can be named in lots of different ways. Pupils build equivalent fractions on the pizza-slicer by cutting slices into smaller pieces, write equivalence chains in their copies, and connect fractions, decimals and percentages through a class bingo.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedLook at the two pizzas in the picture below. The first one is cut into two big halves, and one half has been taken. The second one is cut into eight small slices, and four slices have been taken. Are these the same amount of pizza, or are they different?

    2 - Watch and Notice ~10 mins

    Watch as the same amount of pizza appears different ways. The first three pizzas below all show one half: as two slices, as four slices, and as eight slices. The next three all show one third: as three slices, as six slices, and as twelve slices. The shaded amount stays the same size each time. Only the slice count changes.

    3 - Try It Together ~12 mins

    Today we explore equivalent fractions on the pizza-slicer. The pizza starts at 2/4, which is one half. Take turns at the board: change the slice count, then change how many slices are shaded, to find new fractions that name the same amount of pizza as one half.

    Find equivalent fractions

    4 - Build Equivalence Chains in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, write each of these equivalences as a row, then underline the fraction with the smallest numbers on each row (next lesson we'll learn how to make a simpler fraction ourselves):

    • 1/2 = 2/4 = 4/8
    • 1/3 = 2/6 = 4/12
    • 3/4 = 6/8 = 9/12
    • 1/5 = 2/10 = 4/20

    5 - Class Challenge ~14 mins

    Today's bingo runs in three rounds. Each pupil has a paper bingo card on their desk and a pencil ready. When the caller reads a prompt, mark any cell on your card that names that amount. First to a full line wins the round.

    How the rounds build

    Round 1 is pure fraction equivalences (so '1/2' and '2/4' both win when the caller says 'one half'). Round 2 brings in decimals (so '1/4' and '0.25' both win when the caller says 'one quarter'). Round 3 adds percentages, and by then '1/2', '0.5' and '50%' are all really the same thing, so any of the three wins when the caller says 'one half'.

    Equivalent fractions bingo

    Pupil practice
    Module 3 · Fractions, Decimals and Percentages Number
    Lesson 32 · Equivalent Fractions
    Download Activity Book page (PDF)
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