Mathematics
Beginner
50 mins
Teacher/Student led
+90 XP
What you need:
IWB/Projector/Large Screen

What Is a Fraction? Part and Whole

Explore what a fraction is by cutting round pizzas and soda bread into equal parts. Learn how the bottom number tells you how many parts the whole is split into, and why those parts must be exactly the same size.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedImagine a round soda bread fresh from the oven, and four of you are going to share it fairly. What do we call one of those pieces? And here is the tricky part: why must all four pieces be exactly the same size?

    2 - Watch and Notice ~10 mins

    One whole, two equal parts

    Watch as one whole pizza is cut into 2 equal parts. Each piece is one half, written ½. The bottom number, 2, tells us how many equal parts the whole is cut into. We call that bottom number the denominator.

    One whole, four equal parts

    Now the same whole is cut into 4 equal parts. Each piece is one quarter, written ¼. The denominator here is 4. Notice how each piece got smaller when we cut more.

    One whole, three equal parts

    This time the whole is cut into 3 equal parts. Each piece is one third, written ⅓. The denominator is 3.

    One whole, five equal parts

    Last, the whole is cut into 5 equal parts. Each piece is one fifth, written ⅕ — the smallest pieces of all four. The denominator is 5.

    3 - How Many Pieces Do We Shade? ~3 mins

    The top number tells us how many to shade

    So far we shaded just one piece each time. But the top number of a fraction tells us how many pieces to shade. Watch: here the whole is cut into 3 equal parts, and this time we shade two of them. That is two thirds, written ⅔. The bottom number, 3, is how many equal parts; the top number, 2, is how many we shade.

    4 - Try It Together ~9 mins

    When I call out a fraction, let's slice the pizza into that many equal parts and shade one piece. We'll make a half, a quarter, a third and a fifth — and say each fraction out loud before we check it.

    Tip

    If you are not at the board, watch closely and agree or correct out loud.

    Slice and name the fraction

    5 - Sketch the Bars in Your Copy ~5 mins

    COPYBOOK MOMENT

    Illustration for Sketch the Bars in Your CopyIn your maths copy, draw three bars all the same length. Shade one half of the first bar, one third of the second bar, and one quarter of the third bar. Write the fraction underneath each one.

    6 - Class Challenge ~9 mins

    Today we work through these fractions together: show one half, then one quarter, then one third, then two thirds. Each time, slice the pizza into equal parts and shade the right number of pieces, then check.

    Key point

    Remember the top number tells you how many pieces to shade.

    Make the fraction

    7 - What Did We Notice? ~6 mins

    MATHS TALK

    Here is a puzzle to talk about: one third is bigger than one quarter, even though four is more than three. How can that be true?

    8 - What's Next ~4 mins

    What we learned today

    • A fraction names equal parts of one whole.
    • The bottom number, the denominator, tells how many equal parts the whole is split into.
    • The top number tells how many of those parts we shade.
    • The parts must all be the same size, or it is not a fraction.

    Coming up

    Coming up

    Next time we take the same fraction idea and use it on a length and on a set of objects — splitting a strip and sharing a group fairly.

    Pupil practice
    Module 3 · Fractions and First Decimals Number
    Lesson 29 · What Is a Fraction? Part and Whole
    Download Activity Book page (PDF)
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