Myths about teaching can hold you back
- Year 7
Simplifying before multiplying with multiple expressions
I can recognise when I can simplify before multiplying expressions by their respective terms.
- Year 7
Simplifying before multiplying with multiple expressions
I can recognise when I can simplify before multiplying expressions by their respective terms.
Lesson details
Key learning points
- Collecting together like terms simplifies the expression.
- Simplifying may be possible before multiplication.
Keywords
Term - A term is single number or letter, or the product of numbers and/or variables. Each term is separated by the operators + and –
Expression - An expression contains one or more terms where each term is separated by an operator.
Common misconception
2(z+7)+3(z+7)+5(z+7) must be expanded first before simplifying.
Think of 'Unitising'. What is it we are adding together? In this case, we are summing multiples of (z+7). How many lots do we have?
To help you plan your year 7 maths lesson on: Simplifying before multiplying with multiple expressions, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 7 maths lesson on: Simplifying before multiplying with multiple 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 3 maths lessons from the Expressions and equations unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Look at $$4(y-7)+8(y-7)$$. Inside each bracket you can see matching __________.
Q2.Which of the below is equivalent to $$6 \times 7+2 \times 7$$?
Q3.Expand $$5(x-3)$$
Q4.Which of the below are equivalent to $$11 \times 6 + 11 \times 4$$?
Q5.Expand and simplify $$6(e-f)+2(f-e)$$
Q6.Match the expressions to the correct first step when expanding before simpifying.
$$5(a+3)+2(a-8)$$ -
$$5a+15+2a-16$$
$$5(a-3)+2(a-8)$$ -
$$5a-15+2a-16$$
$$5(a+3)-2(a+8)$$ -
$$5a+15-2a-16$$
$$5(2a+3)+2(a-8)$$ -
$$10a+15+2a-16$$
$$5a(a+3)+2(a-8)$$ -
$$5a^2+15a+2a-16$$
Assessment exit quiz
6 Questions
Q1.When you write $$3(y-8)+9(y-8)$$ as $$12(y-8)$$ you have __________ the expression.
Q2.Use this bar model to help you simplify the expression $$5(x+6)+2(x+6)$$

Q3.Which of the below cannot be simplified before it is expanded?
Q4.Match each expression with a simplified expression.
$$4(e+2)+6(e+2)$$ -
$$10(e+2)$$
$$4(e+2)+5(e+2)$$ -
$$9(e+2)$$
$$7(e+2)+3(e+2)-5(e+2)$$ -
$$5(e+2)$$
$$4(e+2)-5(e+2)$$ -
$$-e-2$$
$$4(e-2)-5(e-2)$$ -
$$2-e$$
Q5.Which of the below is true for $$8y(x-4)+8y(x-5)$$?
Q6.Match each expression with a simplified expression.
$$5(y+2)+5(y+6)$$ -
$$5(2y+8)$$
$$5(y+2)+5(2y+6)$$ -
$$5(3y+8)$$
$$5(y-1)+5(y+6)$$ -
$$5(2y+5)$$
$$5(2y+2)-5(y+6)$$ -
$$5(y-4)$$
$$5(2y+2)-5(6-y)$$ -
$$5(3y-4)$$