Explain how to balance equations with addition expressions
Lesson details
Learning outcome
I can explain how to balance equations with addition expressions.
Key learning points
- If one addend is increased and the other is decreased by the same amount, the sum stays the same.
- If one addend is increased or decreased then the sum increases or decreases by the same amount.
Keywords
Unknown - An unknown is a quantity that has a set value but it is represented by a symbol or letter.
Equation - An equation is used to show that one number, calculation or expression is equal to another.
Expression - An expression contains one or more values, where each value is separated by an operator.
Common misconception
Pupils immediately calculate expressions instead of considering the relationship between expressions.
Take time to model interrogation of values within expressions, identifying relationships between them. Encourage this reasoning and show how it can be more efficient than calculation especially in situations with larger values.
Teacher tip
Pupils are expected to reason about decimal values within the lesson including rounding to the nearest whole number. Consider whether some learners may need consolidation of decimal values prior to the lesson.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Which of the following expressions has the same sum as 132 + 16? Can you reason without calculating?
Q2.Which of the following expressions has the same difference as 200 − 90? Can you reason without calculating?
Q3.Round 14,703 to the nearest multiple of 10
Q4.Use the correct inequality symbol to make this correct: 234,076 78,835
Q5.What is 17.37 when rounded to the nearest whole number?
Q6.Use an efficient strategy to calculate 14,758 + 12,030 =
Assessment exit quiz
6 Questions
Q1.Use rounding, estimating, comparing or reasoning to determine the missing symbol in this inequality statement. 23 + 17 32 + 28
Q2.Use rounding, estimating, comparing or reasoning to determine the missing symbol in this inequality statement. 4.7 + 3.9 4.9 + 2.5
Q3.Use rounding, estimating, comparing or reasoning to determine the missing symbol in this inequality statement. 34,506 + 17,853 56,231 + 19,106
Q4.Complete the equation that is represented by the bar model. a + 6,214 =
Q5.Balance the equation by finding the unknown value. d + 17.6 = 17.65 + 102 What is the value of d?
Q6.Balance the equation by finding the unknown value. 14.62 + 18.95 = f + 31.5 What is the value of f?
To help you plan your 6 maths lesson on: Explain how to balance equations with addition 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 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.