Use part-part-whole structures to solve additive problems in a range of contexts | Maths

Starter quiz

How many metres are equivalent to 1 kilometre? ___m = 1 km

10

100

1,000 ✓

10,000
Match the number to the missing part of the statement to make it correct.

1 l is equivalent to ___ millilitres

⇔

1,000 ✓

£1 is equivalent to ___ pence

⇔

100 ✓

1,000 g is equivalent to ___ kg

⇔

1 ✓
Match the bar model to the correct equation it represents.

Bar model A

⇔

254 = 179 + 75 ✓

Bar model B

⇔

75 + 104 = 179 ✓

Bar model C

⇔

254 + 75 = 329 ✓
Complete the column addition to find the sum.

'10.11' ✓
Complete the column subtraction to find the difference.

'1.39' ✓
What is the difference between 7.65 and 6.98? Use a counting on strategy.

'0.67' ✓

Exit quiz

What is the missing addend in this part of the puzzle?

'385' ✓
In this puzzle, each row and column sum to six. What are the correct missing numbers?

A = $2\frac{3}{4}$

A = $1\frac{3}{4}$ ✓

B = $2\frac{1}{4}$ ✓

B = $3\frac{1}{4}$
In this puzzle, each row and column sum to 14.5. What are the correct missing numbers?

B = 2.3

A = 2.5

B = 2.6 ✓

A = 2.2 ✓
The 326 pupils in the school are divided into four houses. How many pupils are in Oak house?

'76' ✓
The table shows the number of pupils taking part in each event at Sports day. Calculate the missing value A.

'16' ✓
The table shows the number of pupils taking part in each event at Sports day. Calculate the missing value B.

'81' ✓

Worksheet

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Lesson Details

Key learning points

A representation helps to make sense of an equation or problem.
A bar model can be used to help solve additive problems.
A part-whole model can be used to identify the equation needed to solve an additive problem.

Common misconception

Pupils struggle to find a way into solving the number puzzles at first.

It is important that pupils can identify what the whole is for each problem. Encourage pupils to draw a bar model to help link the problem to its part and wholes. This may help them identify the parts and whole and how to calculate any missing parts.

Keywords

Represent - To represent something means to show something in a different way.