Explain that different lengths can be composed additively and multiplicatively | Maths

Starter quiz

Convert 2.5 metres into centimetres. ______ cm

'250' ✓
Match the descriptions.

100 divided into 2 equal parts

⇔

each part has a value of 50 ✓

100 divided into 4 equal parts

⇔

each part has a value of 25 ✓

100 divided into 5 equal parts

⇔

each part has a value of 20. ✓
What is the missing number on the number line?

'75' ✓
Complete: 0.1 is __________ of 10

one tenth the size

one hundredth the size ✓

one hundred times the size

ten times the size
Which equations represent this bar model?

20 × 5 = 100 ✓

100 ÷ 20 = 5 ✓

20 + 20 + 20 + 20 = 100

2 × 20 + 3 × 20 = 100 ✓
What is the missing number in this equation? 25 × ______ = 175

'7' ✓

Match the descriptions.

1 m divided into 2 equal parts

⇔

each part has a value of 0.5 m. ✓

1 m divided into 4 equal parts

⇔

each part has a value of 0.25 m. ✓

1 m divided into 5 equal parts

⇔

each part has a value of 0.2 m. ✓
Look at the number line. Which letter is pointing to 75 cm?

a

b

c ✓

d
In metres, what is the value of each of the partitioned parts? ______ m

'0.5' ✓
Tick the equations that could represent this number line.

0.25 m × 4 = 1 m ✓

1 m ÷ 4 = 25 m

0.25 m + 0.25 m + 0.25 m = 1 m

1 m = 0.25 m + 0.25 m + 0.25 m + 0.25 m ✓
Tick the image that represents the equation: 0.2 m × 5 = 1 m
1.4 m is composed of:

5 lots of 0.2 m add 2 lots of 0.2 m ✓

7 lots of 0.2 m ✓

10 lots of 0.2 m minus 3 lots of 0.2 m ✓

4 lots of 0.2 m plus 4 lots of 0.2 m

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Pupils think that when a whole is divided into x parts, they need to have x interval markers.

Encourage pupils to make connections between the bar model and the number line, drawing attention to where each whole has been divided.