Myths about teaching can hold you back
- Year 7
Multiplying and simplifying with multiple expressions
I can use the distributive law to multiply multiple expressions by their respective terms and then simplify by collecting like terms
- Year 7
Multiplying and simplifying with multiple expressions
I can use the distributive law to multiply multiple expressions by their respective terms and then simplify by collecting like terms
Lesson details
Key learning points
- An expression can be multiplied by any term.
- We may have more than one expression being multiplied by terms.
- Collecting together like terms simplifies the expression.
- It is important to be methodical to avoid losing terms.
Keywords
Simplify - To simplify an expression is to write it in a more efficient and compact form without affecting the value of the original expression.
Like terms - Like terms are terms that have the same set of variables and corresponding exponents.
Common misconception
Pupils may think 5(y+1)-2(y+3) = 5y+5-2y+6
Correct use of the distributive law with either algebra tiles or an area model will demonstrate why this is wrong.
To help you plan your year 7 maths lesson on: Multiplying and simplifying 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: Multiplying and simplifying 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.Without changing its value, we could write the expression $$5x+7+3x+8$$ more efficiently by it.
Q2.Expand $$8(x+3)$$
Q3.Match the expressions to the simplified expressions.
$$3x + 7 + 4x + 6$$ -Â
$$7x +13$$
$$7x + 3 + 6x + 4$$ -Â
$$13x + 7$$
$$7x + 13 + 3x -3$$ -Â
$$10x+10$$
$$6x -7 -13x -3 $$ -Â
$$-7x-10$$
$$3x + 13 + 4x -3$$ -Â
$$7x+10$$
Q4.Match the expressions.
$$7(y+3)$$ -Â
$$7y+21$$
$$-7(y-3)$$ -Â
$$21-7y$$
$$-7(y+3)$$ -Â
$$-7y-21$$
$$7(y-3)$$ -Â
$$7y-21$$
Q5.Simplify $$10x+3-7x-10$$
Q6.Expand $$-f(3e+2f-g)$$
Assessment exit quiz
6 Questions
Q1.In algebra, when we write the expression $$6(y-7)$$ as $$6y-42$$ it is called __________.
Q2.Expand $$-2x(5-x)$$
Q3.Expand and simplify $$2(y+3)+7(y-1)$$
Q4.Match the expressions.
$$5(x+4)+3(x+8)$$ -Â
$$8x+44$$
$$5(x+4)+8(x+3)$$ -Â
$$13x+44$$
$$4(x+5)+3(x+8)$$ -Â
$$7x+44$$
$$4(x+5)+8(x-3)$$ -Â
$$12x-4$$
$$4(x-5)+8(x+3)$$ -Â
$$12x+4$$
Q5.Expand and simplify $$2d(d-3)-5(d+e)$$
Q6.Match the expressions.
$$x(x+y-7)-3x(x-2y)$$ -Â
$$-2x^2-7x+7xy$$
$$x(x+y-7)+3x(x-2y)$$ -Â
$$4x^2-7x-5xy$$
$$-x(x+y-7)+3x(x-2y)$$ -Â
$$2x^2+7x-7xy$$
$$-x(x+y-7)-3x(x-2y)$$ -Â
$$-4x^2+7x+5xy$$