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

Decimal and Fractional Measures in Problems

Solve multi-step problems involving decimal and fractional measures. Work out divisions of lengths, fractions of capacity, and amounts left over, always checking your unit.

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    1 - Getting Started ~4 mins

    Illustration for Getting Started

    Key point

    A 2.4 m plank is cut into pieces, each 0.6 m long. How many pieces will you get, and how could you check your answer?

    2 - Watch and Notice ~10 mins

    We will work through four measures problems. None of the measurements land on tidy whole numbers, so watch how we handle decimals and fractions of a unit. For each one, look for two things: which operation the words are asking for, and which unit the answer belongs in.

    3 - Try It Together ~10 mins

    Now we work through these measures problems together, one after another. First: ¾ of a 2 litre carton of juice is poured out — how many litres is that? Remember the two steps we just saw: find one quarter of the 2 litres first, then take three of those quarters. Next: a 5.6 m roll of ribbon is cut into 0.7 m lengths — how many lengths? Last: 4.5 litres of paint is shared equally between 3 rooms — how much paint does each room get? We say the operation aloud before we solve each one.

    Working measures problems together

    4 - Work It in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy (or on the problem sheet), set out one decimal-measure problem and one fraction-measure problem in full. For each, write the given facts, then your working, then the answer with its unit. Box each final answer.

    • A 3.2 m shelf is cut into 0.8 m pieces — how many pieces?
    • ⅔ of a 6 kg bag of flour is used — how many kilograms is that? (Remember: find one third first, then take two of them.)

    5 - Class Challenge ~8 mins

    Key point

    Now we work through this set of measures problems on the interactive, each one a step harder than the last. The last one is the stretch: a bag holds 3 kg of compost, and 1.8 kg of it is used. How many kilograms of compost are left in the bag? After Check, we write that leftover as a fraction of the whole bag together.

    Measures problem bank

    Pupil practice
    Module 5 · Measures: Length, Area, Volume, Mass and Capacity Measures
    Lesson 57 · Decimal and Fractional Measures in Problems
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