Mathematics
Intermediate
50 mins
Teacher/Student led
+75 XP
Teacher-led from the board — pupils need no device
What you need:
IWB/Projector/Large Screen

Equivalent Fractions, Decimals and Percents: First Walk

Learn to read and convert between fractions, decimals and percents using visual battery models. Discover that 1/2, 0.5 and 50% are three ways to write the same amount.

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    Phone battery

    1 - Getting Started ~4 mins

    Illustration for Getting StartedLook at these three labels on the board: 1/2, 0.5 and 50%.

    Are they the same amount, or three different amounts? What is your first instinct?

    2 - Watch and Notice ~8 mins

    The interactive shows a phone battery at different levels. Under each one, watch the three labels: the fraction, the decimal and the percent. One amount, three ways of writing it.

    When we meet a fraction, we can also find its decimal by dividing the top number by the bottom number. We will do one together on the board, then check it on the battery.

    3 - Try It Together ~8 mins

    The interactive shows a phone battery at four levels in fifths: 1/5, 2/5, 3/5, 4/5. Before each one, predict its percent, then we check it together. Notice the even steps between levels.

    1/5 = 0.2 = 20%

    4 - Build Your Equivalence Table ~3 mins

    COPYBOOK MOMENT

    In your maths copy, write each of these amounts three ways in a row (fraction, decimal, percent), one set under the other. You will have a short equivalence table to study from.

    • 1/2 = 0.5 = 50%
    • 1/4 = 0.25 = 25%
    • 3/4 = 0.75 = 75%
    • 1/10 = 0.1 = 10%
    • 1/5 = 0.2 = 20%

    Underline the percent column so it stands out when you come back to it.

    5 - Class Challenge ~8 mins

    Before we start the matches, we will work one new amount together on the board: 1/100.

    Watch how we turn it into a decimal and a percent the same way we have been doing: read it as hundredths, then the top number is the percent. One hundredth means 1 out of 100, so the decimal is 0.01 and the percent is 1%. That is the smallest slice on our table, just a sliver of battery.

    Then we match one form to the missing two. We will work through these in order: given 0.5, then 0.25, then 3/4, then 10%, then 0.2, then 1/100. Set the battery so all three forms match. Use the worked example when you reach the last one.

    Match the three forms

    Pupil practice
    Module 1 · Place Value and the Decimal Number System Number
    Lesson 11 · Equivalent Fractions, Decimals and Percents: First Walk
    Download Activity Book page (PDF)
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