Myths about teaching can hold you back
- Year 9
Additive relationships
I can appreciate that an additive relationship between variables can be written in a number of different ways.
- Year 9
Additive relationships
I can appreciate that an additive relationship between variables can be written in a number of different ways.
Lesson details
Key learning points
- When adding or subtracting, terms may only be combined if the order of each variable in each term is the same.
- The sum of the terms can be thought of as a term, despite being comprised of multiple terms.
- a + b = c also means that a = c − b
- a = c − b can also be written as a = c + (−b)
Keywords
Equation - An equation is used to show two expressions that are equal to each other.
Common misconception
Rearranging equations means you can just swap where terms are.
Remind pupils that subtraction and division are not commutative so swapping the order will matter.
To help you plan your year 9 maths lesson on: Additive relationships, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 9 maths lesson on: Additive relationships, 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 3 maths lessons from the Expressions and formulae unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Prior knowledge starter quiz
6 Questions
Q1.63 + 37 = 100 being rearranged to 37 + 63 = 100 is an example of __________.
Q2.When rearranging equations, you must perform the same operation to both sides in order to maintain __________.
Q3.In the equation 172 + 398 = 570, the term 570 can be described as the __________ of 172 and 398.
Q4.Given that 1734 + 2117 = 3851, which of these calculations are correct?
Q5.Match each operation to its inverse operation.
Addition -
Subtraction
Subtraction -
Addition
Multiplication -
Division
Squaring -
Square rooting
Q6.Which of these equations can be represented by this bar model?

Assessment exit quiz
6 Questions
Q1.$$3x^2+4x=13$$ being rearranged to $$4x+3x^2=13$$ is an example of __________.
Q2.Which of these equations are valid rearrangements of the generalisation $$a+b=c$$ ?
Q3.Which of these equations are valid rearrangements of the equation $$100-2x=5y$$ ?
Q4.Which of these equations are represented in this bar model?
