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Year 6

Use a balanced equation to calculate unknown parts

You can use a balanced equation to calculate unknown parts.

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New
New
Year 6

Use a balanced equation to calculate unknown parts

You can use a balanced equation to calculate unknown parts.

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Lesson details

Key learning points

  1. I've added __ to this part so I need to subtract __ from the other part to keep the sum the same.
  2. I've subtracted __ from this part so I need to add __ to this part to keep the sum the same.
  3. A balance beam can represent equivalent expressions.

Keywords

  • Equation - An equation is used to show that one number, calculation or expression is equal to another.

  • Expression - An expression contains one or more values, where each value is separated by an operator. Two or more expressions with the same value can be separated by an equals sign to create an equation.

  • Whole - The whole is all the parts or everything, the total amount.

  • Part - A part is some of the whole.

Common misconception

Often, pupils understand the equals symbol to be a big reveal or a 'ta-da!' rather than a symbol denoting equivalence. This can make the idea of a balanced equation tricky.

Explore pupils' understanding of the equal sign at the start of the lesson. For children who still find it a tricky concept, make use of bucket scales and plasticine to explore equivalence.


To help you plan your year 6 maths lesson on: Use a balanced equation to calculate unknown parts, download all teaching resources for free and adapt to suit your pupils' needs...

Many of the equations used here are the same template (provided that you use the commutative property of addition) so make use of the learning wall by drawing up comparison arrows and blank boxes so the structure is permanently on display.
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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

6 Questions

Q1.
What is the missing part in this bar model?
An image in a quiz
Correct Answer: 691
Q2.
327 − 98 = Complete this mentally.
Correct Answer: 229
Q3.
Jun buys two rugby balls which cost £7.98 each. How much does he spend altogether? Jun spends £
Correct Answer: 15.96, £15.96
Q4.
Sofia has £15 to spend. She buys a bat and ball set for £12.98 so how much change should she receive? Sofia should receive £ change.
Correct Answer: 2.02, £2.02
Q5.
Sam thinks of a 3-digit number and then adds 7 before dividing it by 4 to finish with the number 30 What was her starting number?
111
112
Correct answer: 113
114
Q6.
What is the missing whole in this bar model?
An image in a quiz
Correct Answer: 1,202

6 Questions

Q1.
Which symbol can you insert between two expressions to show that they have the same value?
<
Correct answer: =
>
Q2.
Which of the following are equations?
3 + 1 + 67 − 10
Correct answer: 5 + 10 = 5 × 3
64 ÷ 8 + 23
Correct answer: 3 × 5 + 20 = 5 + 15 × 2
Q3.
What is the mass of the plasticine part on the balance scales? g
An image in a quiz
Correct Answer: 300, 300 g
Q4.
Find the unknown by comparing parts. 32 + 27 = 30 +
Correct Answer: 29
Q5.
Find the unknown by comparing parts. 0.25 + 0.67 = 0.29 +
Correct Answer: 0.63
Q6.
Find the unknown by comparing parts. 23,000 + 15,000 = 21,750 +
Correct Answer: 16,250, 16250
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