Myths about teaching can hold you back
- Year 7
Multiplying an expression by a constant
I can use the distributive law to multiply an expression by a constant.
- Year 7
Multiplying an expression by a constant
I can use the distributive law to multiply an expression by a constant.
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Lesson details
Key learning points
- The distributive law can make multiplication easier.
- The distributive law can be understood using an area model.
- A bar model can be used to represent the distributive law.
- The distributive law can help us multiply an expression by a constant.
Keywords
Constant - A constant is a term that does not change; it contains no variables.
Common misconception
3(y+2) expands to 3y+2.
3 lots of 12 isn't 3x10+2 so 3 lots of (y+2) isn't 3y+2. Get students to draw this out. To visualise it.
To help you plan your year 7 maths lesson on: Multiplying an expression by a constant, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 7 maths lesson on: Multiplying an expression by a constant, 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.
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The assessment exit quiz will test your pupils' understanding of the key learning points.
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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.
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Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.The expression $$2x+5y-1$$ can not be further.
Q2.Match each expression to its simplified form.
$$5 \times y$$ -
$$5y$$
$$5 \times x$$ -
$$5x$$
$$x \times y$$ -
$$xy$$
$$-5 \times y$$ -
$$-5y$$
$$x \times -5$$ -
$$-5x$$
Q3.Which of the below will correctly evaluate $$6 \times 82$$?
Q4.Simplify $$4 \times 2a$$.
Q5.Match the expressions.
$$3 \times -4a$$ -
$$-12a$$
$$3 \times -4b$$ -
$$-12b$$
$$-3 \times -4a$$ -
$$12a$$
$$-6b \times -2$$ -
$$12b$$
$$-3 \times 2a \times -2b$$ -
$$12ab$$
$$-3 \times -2a \times -2b$$ -
$$-12ab$$
Q6.Which of these is the correct simplification of the expression $$ -y \times y + 5 \times y \times (-3) \times y$$?
Assessment exit quiz
6 Questions
Q1.In the expression $$y+8$$, the $$y$$ term is a variable and the $$8$$ term is a .
Q2.Which of these identities match the bar model shown?
Q3.In this area model, what is under these two ink splats?
Q4.Match the expressions.
$$5(x+4)$$ -
$$5x+20$$
$$4(x+5)$$ -
$$4x+20$$
$$10(x+2)$$ -
$$10x+20$$
$$2(x+10)$$ -
$$2x+20$$
$$10(x+4)$$ -
$$10x+40$$
$$4(x+10)$$ -
$$4x+40$$
Q5.Expand $$4(t-7)$$
Q6.Match the expressions.
$$-2(-x-5)$$ -
$$2x+10$$
$$-2(x+5)$$ -
$$-2x-10$$
$$-2(x-5)$$ -
$$-2x+10$$
$$-2(5-x)$$ -
$$2x-10$$