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

Equivalent Fractions, Decimals and Percents: on Your Own

Complete an equivalence table by finding the missing fraction, decimal and percentage forms of given values. Discover which fractions produce clean, ending decimals and which run on forever.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedWe have been matching fractions, decimals and percents — the same amount written three ways. Some of these are easy to read straight off as tenths or hundredths; a few are trickier. Now look at this new value: 1/8. Have a guess: what is 1/8 as a decimal? What about as a percentage? Don't worry if you are unsure — we will check it together in a moment.

    2 - Watch and Notice ~10 mins

    The interactive shows four fractions, each one as a fraction, a decimal and a percentage, using a phone battery. Watch how full each battery gets, and notice which decimals stop cleanly and which run on forever.

    3 - Try It Together ~8 mins

    Key point

    Now we work through these values together on the board: 3/5, then 1/4, then 9/10, and finally 1/6. We will all predict the decimal and percent first, then a named pupil comes up to drag the battery slider and check. Three of them stop cleanly, and one is a new one that runs on. Say which is which before we check each one.

    Find the missing equivalents

    4 - Complete the Row in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, complete the row for each given value by writing the missing two equivalents. Underline your final answer on each row.

    • 1/2 = ___ = ___
    • 0.25 = ___ = ___
    • ___ = 0.7 = ___
    • 3/4 = ___ = ___
    • 1/5 = ___ = ___

    5 - Class Challenge ~8 mins

    Key point

    Now we work through these together on the board, one form given each time and the other two to find: 0.6 (which fraction? which percent?), then 1/8, then 70%, then 0.5, and last the tricky one, 1/6 that runs on. Predict where the battery will land before each check.

    Find the missing two forms

    Pupil practice
    Module 1 · Place Value and the Decimal Number System Number
    Lesson 12 · Equivalent Fractions, Decimals and Percents: on Your Own
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