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- Year 9
The product of two binomials
I can use the distributive law to find the product of two binomials.
- Year 9
The product of two binomials
I can use the distributive law to find the product of two binomials.
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Lesson details
Key learning points
- The distributive law can be used to find the product of two binomials.
- An area model can be used to explore the underlying structure.
- Both of the terms in one bracket must be multiplied by both terms in the second.
Keywords
Binomial - A binomial is an algebraic expression representing the sum or difference of exactly two unlike terms
Common misconception
Missing out partial products
Relating back to numerical examples and showing that 12 × 34 is not just 10 × 30 + 2 × 4. Using algebra tiles and area models can help to support student's understanding.
To help you plan your year 9 maths lesson on: The product of two binomials, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 9 maths lesson on: The product of two binomials, 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.
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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.
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Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.$$2x$$ and $$5x$$ can be called __________ terms.
Q2.What expression could these algebra tiles represent?
Q3.Which is the correct area model to show the expansion of $$x(x + 3)$$?
Q4.Expand $$x(x + 8)$$.
Q5.Expand $$x(x - 3)$$.
Q6.Which of these calculations are the same as $$11 \times 14$$ ?
Assessment exit quiz
6 Questions
Q1.Which of these expressions are binomials?
Q2.Here is an area model for $$(x + 2)(x + 4).$$ Which of these expressions is the correct expanded form?
Q3.Here is an area model for $$(x - 3)(x - 1).$$ Which of these is the correct expanded form?
Q4.Which product of two binomials could be represented by this area model?
Q5.Which is the correct expanded form of $$(x - 3)^2$$ ?
Q6.Match each product of two binomials to its correct expansion.
$$(x + 7)(x + 3)$$ -
$$x^2 + 10x + 21$$
$$(x + 7)(x - 3)$$ -
$$x^2 + 4x - 21$$
$$(x - 7)(x + 3)$$ -
$$x^2 - 4x - 21$$
$$(x - 7)(x - 3)$$ -
$$x^2 - 10x + 21$$
$$(x + 7)^2$$ -
$$x^2 + 14x + 49$$
$$(x - 7)^2$$ -
$$x^2 - 14x + 49$$