New
New
Year 6

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

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

New
New
Year 6

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

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

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Lesson details

Key learning points

  1. Compensation can be used to solve subtraction calculations.
  2. Equivalence can be used to solve subtraction calculations.
  3. Look at the numbers and decide on the most efficient strategy to use.

Keywords

  • Difference - The difference is the result after subtracting one number from another.

  • Adjust - When you adjust you make a change to a number. This is done to make a calculation easier to solve mentally.

Common misconception

Lots of children have an understanding of goal difference from experiences outside the classroom but this might be the first time some children have encountered it and it may cause confusion.

Consider pre-teaching if that is a possibility or introduce it in a PE context to begin with. You could even keep score of any playtime games for the days leading up to the lesson to give some real life context.

To engage the children, in the first lesson cycle, consider changing teams names or sport to something that will get a stronger response. You could even look at real life results from professional sports.
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.
In the bar model shown, which team has scored the most goals?
An image in a quiz
Skatey Spuds
Correct answer: Polar Bears
Lucky Pucky
Sticky Sticks
Q2.
Select the phrase to complete the definition of constant difference. If the minuend and subtrahend are adjusted by the same amount, the difference ...
... adjusts by the same amount.
... increases.
... decreases.
Correct answer: ... stays the same.
Q3.
Which pair of expressions have the same difference?
15,706 − 146
188 − 42
Correct answer: 346 − 201
Correct answer: 16,347 − 16,202
Q4.
Solve the following calculation mentally by adjusting the minuend and then the difference. 10,007 − 244 =
Correct Answer: 9,763
Q5.
Solve the following calculation by adjusting both subtrahend and minuend to create an easier subtraction. = 752 − 347
Correct Answer: 405
Q6.
Look at the pair of equations below and use the complete one to help find the missing number in the second.
An image in a quiz
Correct Answer: 2.26

6 Questions

Q1.
Sticky sticks have a goal difference of 17 before they play two matches. They win both their matches 2:0 and 3:0 What is their goal difference now?
Correct Answer: 22
Q2.
Polar Bears have a goal difference of 12 before they play two matches. They win the first match 4:2 but lose the second 1:5. What is their goal difference now?
Correct Answer: 10
Q3.
Happy Feet have a goal difference of 19 before they play three more fixtures. They win 2:1, lose 1:4 and lose 0:3 in the matches. What is their goal difference now?
Correct Answer: 14
Q4.
Bolly Bears have a goal difference of 16 before they play three more fixtures. They draw 2:2, win 5:2 and lose 0:2 in the matches. What is their goal difference now?
Correct Answer: 17
Q5.
Bolly Bears have a goal difference of 17 and Polar Bears a goal difference of 12 They play one another and Polar Bears win 5:3. Who has the greatest goal difference now?
Polar Bears
Correct answer: Bolly Bears
Q6.
Happy Feet, Skatey Spuds and Lucky Pucky all have a goal difference of 14 They each play one another with the results shown here. Which of these shows the goal difference from greatest to smallest?
An image in a quiz
Skatey Spuds > Lucky Pucky > Happy Feet
Happy Feet > Lucky Pucky > Skatey Spuds
Correct answer: Lucky Pucky > Skatey Spuds > Happy Feet