New
New
Year 6

Use equivalence and compensation strategies to solve addition problems in a range of contexts

I can use equivalence and compensation strategies to solve addition problems in a range of contexts.

New
New
Year 6

Use equivalence and compensation strategies to solve addition problems in a range of contexts

I can use equivalence and compensation strategies to solve addition problems in a range of contexts.

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Lesson details

Key learning points

  1. The part-whole structure can be used to represent additive problems in a range of contexts.
  2. A bar model structure can be used to represent additive problems in a range of contexts.
  3. The same sum rule can be used to solve additive problems in a range of contexts.

Keywords

  • Budget - A budget is the total amount of money that you have to spend on something. It is often split into parts and money can be redistributed between these parts.

  • Unknown - An unknown is a quantity that has a set value but it is represented by a symbol or letter.

  • Adjust - When you adjust you make a change to a number.

  • Redistribution - Redistribution is where some of one part is moved to another part. It is sometimes known as the same sum rule.

Common misconception

The idea of an extra cost being an addition and a saving being a subtraction can seem counter-intuitive to some children.

Talk through a more basic version using a pound for a budget and sweets at a tuck shop.

If your school has any other building development projects of any kind, you might wish to change the context to give real-life motivation for the children.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), 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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6 Questions

Q1.
What symbols do we make use of when comparing two or more expressions with different values?
Equals symbol
Correct answer: Inequalities
Operations
Q2.
What is the unknown in the bar model? £
An image in a quiz
Correct Answer: 61, £61
Q3.
The tally chart shows the number of vegetables sold in a week from a greengrocers. How many were sold altogether?
An image in a quiz
Correct Answer: 80
Q4.
Calculate the following sum using adjustment. £99 + £154 = £
Correct Answer: 253
Q5.
Calculate the following sum using adjustment. £ = £1,999 + £2,500
Correct Answer: 4,499, 4499
Q6.
Use mental strategies to calculate the unknown in the bar model. The unknown is £
An image in a quiz
Correct Answer: 310

6 Questions

Q1.
Which of the following best describes the word budget?
A red briefcase
Something that is poor quality or value
Correct answer: The total amount of money you have to spend on something
Q2.
Solve the following addition without using a written method. £6,999 + £1,750 = £
Correct Answer: 8,749
Q3.
Find the unknown in the equation below. £6,999 + £1,750 + £ = £10,000
Correct Answer: 1,251
Q4.
The chart shows how many vegetables have been sold. Then, 6 more onions, 2 more spring onions and 4 more potatoes were sold. 5 radishes were returned. How many vegetables have been sold now?
An image in a quiz
Correct Answer: 117
Q5.
What is the unknown garden part of the budget shown in the bar model? The budget for the garden is £
An image in a quiz
Correct Answer: 2,501
Q6.
The budget was £10,000 and the graph shows the savings and extra costs. Was this over or under budget?
An image in a quiz
Over budget
Correct answer: Under budget