Explain how to balance equations with addition and subtraction expressions
Lesson details
Learning outcome
You can explain how to balance equations with addition and subtraction expressions
Key learning points
- If one addend is increased and the other is decreased by the same amount, the sum stays the same.
- If the minuend and subtrahend are changed by the same amount, the difference stays the same.
Keywords
Equation - An equation is used to show that one number, calculation or express is equal to another.
Expression - An expression contains one or more terms or numbers, where each term or number is separated by and operator but an expression does not have an equals sign.
Common misconception
Thinking that you can change the values of subtraction and addition expressions by making the same changes.
Go back and explore what happens when you change different elements of addition and subtraction equations. Use stem sentences from earlier learning to highlight what happens to the sum and difference when values are changed in equations.
Teacher tip
This lesson moves on to thinking about larger numbers within the equations. The numbers have been chosen so that children can still use mental strategies and can apply their understanding of place value and unitising to think about 28 thousands rather than calculating with 5-digit numbers.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Round 8,907 to the nearest multiple of 10
Q2.Which of the following expressions has the same difference as 150 − 30? Can you reason without calculating?
Q3.Use an efficient strategy to calculate 27,648 + 32,963 =
Q4.Use an efficient strategy to calculate 10 − 7.452 =
Q5.What is 8.96 when rounded to the nearest whole number?
Q6.Use an efficient strategy to calculate the unknown value g in g − 1,508 = 4,650 − 1,600
Assessment exit quiz
6 Questions
Q1.Match each addition expression to an equal subtraction expression.
Q2.Which of these equations are balanced?
Q3.What is the missing addend needed to balance this equation? 48,000 + = 71,000 − 15,000
Q4.What is the missing subtrahend to balance this equation? 52,000 + 9,000 = 79,000 −
Q5.This equation is unbalanced. 65,000 − 8,000 = 18,000 + 38,000 How can you change 18,000 in the addition expression to balance the equation?
Q6.This equation is unbalanced. 55,500 − 8,000 = 22,250 + 26,250 What should the subtrahend be to balance this equation?
To help you plan your 6 maths lesson on: Explain how to balance equations with addition and subtraction expressions, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 6 maths lesson on: Explain how to balance equations with addition and subtraction expressions, 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 Calculating using knowledge of equivalence in addition and subtraction unit, dive into the full primary maths curriculum, or learn more about lesson planning.