Represent an equation in a part-part-whole model correctly | Maths

Starter quiz

Match the number of minutes to the correct number of hours.
- 1 hour
  
  ⇔
  
  60 minutes ✓
- $\frac{1}{2}$ hour
  
  ⇔
  
  30 minutes ✓
- 2 hours
  
  ⇔
  
  120 minutes ✓
- 3 hours
  
  ⇔
  
  180 minutes ✓
Match the equivalent measures.
- 0.3 kg
  
  ⇔
  
  300 g ✓
- 30 cm
  
  ⇔
  
  0.3 m ✓
- 300 m
  
  ⇔
  
  0.3 km ✓
- 3 m
  
  ⇔
  
  300 cm ✓
Alex was training for a swimming race. On Monday he swam 1.05 km. On Wednesday he swam 1,150 m and on Friday he swam 1.2 km. How far did he swim? Give your answer in metres. ______ m
- '3400' ✓
Complete the column subtraction to find the difference.
- '29.43' ✓
Use a counting on strategy to find the difference between 2,345 and 1,967
- '378' ✓
Find the difference between 10 and 9.376 using a counting on strategy.
- '0.624' ✓

Exit quiz

Which bar model represents the equation? 739 = 195 + ___ + 382
- A ✓
- B
- C
Which equation correctly represents this bar model?
- ___ = 33.6 + 19.4 + 5.37
- 19.4 = 5.37 + 33.6 + ___
- 33.6 = ___ + 5.37 + 19.4 ✓
Which strategies can be used to find the value of a missing part?
- Subtracting each part from the whole. ✓
- Summing the known parts and subtracting from the whole. ✓
- Finding the total of the whole and the known parts.
- Summing the known parts and counting on to the whole. ✓
Calculate the missing value by mentally adding the known parts first. 21.6 = ______ + 11.2 + 5.3
- '5.1' ✓
Find the missing value in this equation. 5 × 150 = 250 + ______ + 175
- '325' ✓
Find the missing value in this equation. 110 + 156 + 367 + ______ = 820
- '187' ✓

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 represent an equation.
A part-whole model can be used to represent an equation.

Common misconception

Pupils struggle to draw a bar model to represent an equation without a context.

Refer back to the language of parts and wholes to help pupils identify which numbers in the equation represent the parts and which number represent the whole. You may like to reduce the numbers to number within 10 to emphasise the structure at first.

Keywords

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