Mathematics
Intermediate
50 mins
Teacher/Student led
+60 XP
What you need:
IWB/Projector/Large Screen

Percent of a Quantity: 10%, 25%, 50%

Learn to find 50%, 25% and 10% of a quantity using friendly fractions, then build trickier percents like 20% and 75% by combining them. Work with bar models and real shop prices.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedLook at this shelf tag: a game costs €200 with 10% off. Roughly how much comes off the price? Have a think before anyone answers.

    Now look at the second tag. It says 50% off, which means half price. If a €200 game is half price, what do you pay?

    2 - Watch and Notice ~8 mins

    Each bar shows a percentage of a number, split into equal parts with one part shaded. Watch how the percentage matches a simple fraction, and see what the shaded part is worth each time.

    Percents as fractions

    3 - Write the Friendly Fraction First ~3 mins

    COPYBOOK MOMENT

    In your maths copy, work each percent calculation. First write the friendly fraction, then do the calculation underneath.

    • 50% of 80
    • 25% of 60
    • 10% of 200

    For each one, write the fraction step first (50% = ÷2, 25% = ÷4, 10% = ÷10), then the answer on the line below. Underline each answer.

    4 - Try It Together ~11 mins

    Today we build percents on the bar together. We will work three, in order.

    First, 20% of 50 as two tenth-parts. Next, 75% of 40 as a half-part plus a quarter-part. Last, 30% of 40 as three tenth-parts.

    Before we shade each one, predict how big just one part will be.

    Build the percent

    5 - Work Backwards: 25% of What Is 5? ~6 mins

    Sometimes we know the part but not the whole. Watch how we work this one the other way around.

    A jumper had 25% off, and the saving was €5. What was the original price?

    25% means one quarter. So one quarter of the price is €5. A whole price is made of four quarters, so we need four of those €5 parts. That gives 4 × 5 = 20. The original price was €20.

    Check it forwards: 25% of 20 is 20 ÷ 4 = 5. That matches, so €20 is right.

    Working backwards from a percentage

    Pupil practice
    Module 3 · Fractions, Decimals and Percentages Number
    Lesson 39 · Percent of a Quantity: 10%, 25%, 50%
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