Fractions as parts

More than one slice

20 minutes

Start the lesson

Before you read anything

Twenty counters, four equal piles. Make them.

Now push three of the piles together. Count what you have pushed together — and do it before you read on.

Find one, then take that many

Twenty cut into four. One part is five, and three quarters is three of them: fifteen.

Two numbers, two jobs. The bottom one made the pieces; the top one counted how many you took.

This is module 6 again

Finding $\frac{1}{4}$ of $20$ is sharing twenty between four. Finding $\frac{3}{4}$ of it is that, and then taking three — which is exactly find one unit, then scale it, the move module 6 ended on.

Nothing here is new. Only the way of writing it down.

Where it goes wrong

Nakato

found a quarter of 20 and wrote 5

Nakato did the division and stopped. Five is what one quarter is worth; the question asked for three of them.

Reading it out loud fixes it

Say three quarters as "three of the quarters" and the second step is already in the sentence. A learner who reads it as one lump — "three-quarters" — has nothing to remind them.

Check yourself

Six to try

Find what one part is worth first, every single time. Write it down before you go looking for the answer.

1

What is $\frac{1}{5}$ of $15$?

2

What is $\frac{3}{4}$ of $32$?

3

What is $\frac{1}{12}$ of $120$?

4

What is $\frac{7}{10}$ of $60$?

5

What is $\frac{6}{8}$ of $16$?

6

How many fifths make one whole?

Away from the screen

Find one, then take that many Write down what one part is worth before the answer.
Find one, then take that many, page 1 Find one, then take that many, page 2

Open the PDF Save it to print

Show that you have it

Both steps

One of these needs two steps and one needs none. Say which is which before you start either.

1

What is $\frac{9}{10}$ of $60$?

2

How many sixths make one whole?