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Lesson 9 of 10

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

I can represent an equation in a part-whole model correctly.

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Lesson 9 of 10
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Represent an equation in a part-part-whole model correctly

I can represent an equation in a part-whole model correctly.

Lesson details

Key learning points

  1. A representation helps to make sense of an equation or problem.
  2. A bar model can be used to represent an equation.
  3. A part-whole model can be used to represent an equation.

Keywords

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

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.

Encourage pupils to look for complements within the parts that can be added together quickly to reduce the cognitive load when looking to calculate mentally. Equally, encourage pupils to flexibly partition numbers to help find number that can be subtracted more easily to simplify the calculation.
Teacher tip

Licence

This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

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Prior knowledge starter quiz

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6 Questions

Q1.
Match the number of minutes to the correct number of hours.

Correct Answer:1 hour,60 minutes

60 minutes

Correct Answer:$$\frac{1}{2}$$ hour ,30 minutes

30 minutes

Correct Answer:2 hours ,120 minutes

120 minutes

Correct Answer:3 hours ,180 minutes

180 minutes

Q2.
Match the equivalent measures.

Correct Answer:0.3 kg,300 g

300 g

Correct Answer:30 cm,0.3 m

0.3 m

Correct Answer:300 m,0.3 km

0.3 km

Correct Answer:3 m,300 cm

300 cm

Q3.
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

Correct Answer: 3400, 3400 m

Q4.
Complete the column subtraction to find the difference.

An image in a quiz
Correct Answer: 29.43

Q5.
Use a counting on strategy to find the difference between 2,345 and 1,967

Correct Answer: 378

Q6.
Find the difference between 10 and 9.376 using a counting on strategy.

Correct Answer: 0.624

Assessment exit quiz

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6 Questions

Q1.
Which bar model represents the equation? 739 = 195 + ___ + 382

Correct answer: A
B
C

Q2.
Which equation correctly represents this bar model?

An image in a quiz
___ = 33.6 + 19.4 + 5.37
19.4 = 5.37 + 33.6 + ___
Correct answer: 33.6 = ___ + 5.37 + 19.4

Q3.
Which strategies can be used to find the value of a missing part?

Correct answer: Subtracting each part from the whole.
Correct answer: Summing the known parts and subtracting from the whole.
Finding the total of the whole and the known parts.
Correct answer: Summing the known parts and counting on to the whole.

Q4.
Calculate the missing value by mentally adding the known parts first. 21.6 = + 11.2 + 5.3

Correct Answer: 5.1

Q5.
Find the missing value in this equation. 5 × 150 = 250 + + 175

Correct Answer: 325

Q6.
Find the missing value in this equation. 110 + 156 + 367 + = 820

Correct Answer: 187

Lesson appears in

UnitMaths / Use knowledge of part-part-whole structure to solve additive problems

Maths

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