Explain how increasing or decreasing the minuend affects the difference
Lesson details
Learning outcome
I can explain how increasing or decreasing the minuend affects the difference.
Key learning points
- If I increase the minuend, the difference increases by the same amount.
- If I decrease the minuend, the difference decreases by the same amount.
- 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.
Teacher tip
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.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.In the following equation, which number is the minuend?
10 − 3 = 7
Q2.Solve the following calculation using a mental strategy.
56 − 32 =
Q3.Solve the following calculation using a mental strategy.
= 107 − 34
Q4.Solve the following calculation using a mental strategy.
111 − 38 =
Q5.Solve the following calculation using a mental strategy.
= 2,010 − 99
Q6.Tick the expressions which are equivalent.
Assessment exit quiz
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.
Q2.What were the difference and subtrahend adjusted by in the bar model shown? p
Q3.What were the difference and subtrahend adjusted by in the bar model shown?
Q4.What were the difference and subtrahend adjusted by in the bar model shown?
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?
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?
To help you plan your 6 maths lesson on: Explain how increasing or decreasing the minuend affects the difference, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 6 maths lesson on: Explain how increasing or decreasing the minuend affects the difference, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 2 maths lessons from the Use equivalence and compensation to simplify and solve subtraction problems unit, dive into the full primary maths curriculum, or learn more about lesson planning.