The product of two binomials
I can use the distributive law to find the product of two binomials.
The product of two binomials
I can use the distributive law to find the product of two binomials.
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.
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.
Keywords
Binomial - A binomial is an algebraic expression representing the sum or difference of exactly two unlike terms
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Video
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Starter quiz
6 Questions
Exit quiz
6 Questions
$$(x + 7)(x + 3)$$ -
$$x^2 + 10x + 21$$
$$(x + 7)(x - 3)$$ -
$$x^2 + 4x - 21$$
$$(x - 7)(x + 3)$$ -
$$x^2 - 4x - 21$$
$$(x - 7)(x - 3)$$ -
$$x^2 - 10x + 21$$
$$(x + 7)^2$$ -
$$x^2 + 14x + 49$$
$$(x - 7)^2$$ -
$$x^2 - 14x + 49$$