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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Presentation

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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.