New
New
Year 6

Explain how increasing or decreasing the minuend affects the difference

I can explain how increasing or decreasing the minuend affects the difference.

New
New
Year 6

Explain how increasing or decreasing the minuend affects the difference

I can explain how increasing or decreasing the minuend affects the difference.

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Lesson details

Key learning points

  1. If I increase the minuend, the difference increases by the same amount.
  2. If I decrease the minuend, the difference decreases by the same amount.
  3. A number line can be used to represent the change in the minuend.

Keywords

  • Minuend - The minuend is the number being subtracted from.

  • Subtrahend - A subtrahend is a number subtracted from another.

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

  • Constant - A constant is a quantity that has a fixed value that does not change or vary, such as a number.

Common misconception

Children might struggle to describe the changes accurately using mathematical language.

Make good use of your learning walls here to display the key vocabulary and stem sentences for the children to use for the description of the changes in the equations.

This concept can be shown using the height of children if you want something more practical. Select a child (or a tall-ish object) to be the subtrahend and then measure other taller children as the minuends before calculating and tabulating the difference to spot patterns.
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 following equation, which number is the minuend? 10 − 3 = 7
Correct answer: 10
3
7
Q2.
Solve the following calculation using a mental strategy. 56 − 32 =
Correct Answer: 24
Q3.
Solve the following calculation using a mental strategy. = 107 − 34
Correct Answer: 73
Q4.
Solve the following calculation using a mental strategy. 111 − 38 =
Correct Answer: 73
Q5.
Solve the following calculation using a mental strategy. = 2,010 − 99
Correct Answer: 1,911
Q6.
Tick the expressions which are equivalent.
Correct answer: 99 − 27
89 − 18
85 − 25
Correct answer: 75 − 3

6 Questions

Q1.
True or False? If the minuend is adjusted and the subtrahend stays the same then the difference has to be adjusted by the same amount.
Correct answer: True
False
Q2.
What were the difference and subtrahend adjusted by in the bar model shown? p
An image in a quiz
Correct Answer: 23, 23 p
Q3.
What were the difference and subtrahend adjusted by in the bar model shown?
An image in a quiz
Correct Answer: 99,000
Q4.
What were the difference and subtrahend adjusted by in the bar model shown?
An image in a quiz
Correct Answer: 0.5
Q5.
Jun and Alex play an arcade game. Jun scores 35,003 points and Alex scores 17,002 points. At the end, Jun gets a penalty points reduction of 3,000 points. How much did Jun win by?
Correct Answer: 15,001
Q6.
At the gift shop on a residential week, Alex has £12.50 and Jun has £7.99 left to spend. Alex wins a £5 shop gift voucher in a dress-up-as-an-animal competition. How much more does Alex have now?
Correct Answer: £9.51, 9.51