2TH §11.2 Factorising binomials

Plan for today

New theory: Factorising binomials

Homework: §11.2: Exercises S14, 15 and S17

Last 20 minutes:Discussing test Chapter 9

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Slide 1: Slide

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This lesson contains 16 slides, with interactive quizzes and text slides.

Lesson duration is: 50 min

Items in this lesson

Plan for today

New theory: Factorising binomials

Homework: §11.2: Exercises S14, 15 and S17

Last 20 minutes:Discussing test Chapter 9

Slide 1 - Slide

Slide 2 - Slide

Which exercises shall we discuss on the board?

Slide 3 - Mind map

Recap: factorising terms

You can factorise terms like this:

30 x^{​ 2 ​ ​} = 2 \cdot 3 \cdot 5 \cdot x \cdot x

22 a^{​ 3 ​ ​} = 2 \cdot 11 \cdot a \cdot a \cdot a

12 b = 2 \cdot 2 \cdot 3 \cdot b

Slide 4 - Slide

Binomials and Trinomials

A formula like is called a binomial

(bi = 2, the formula has 2 terms)

A formula like is called a trinomial

(tri = 3, the formula has 3 terms)

y = 3 x^{​ 2 ​ ​} + 6 x

y = x^{​ 2 ​ ​} + 7 x + 10

Slide 5 - Slide

Largest common factor

A common factor is a factor that two terms have in common.

are common factors for the two terms.

The largest common factor of these terms is

12 x^{​ 2 ​ ​} = 2 \cdot 2 \cdot 3 \cdot x \cdot x = 4 x \cdot 3 x

8 x = 2 \cdot 2 \cdot 2 \cdot x = 4 x \cdot 2

4 x

2, 4, 2 x, 4 x

Slide 6 - Slide

Factorising binomials

You can factorise a binomial, by filling in a multiplication table in reverse:

1) find the largest common factor:

y = 9 x^{​ 2 ​ ​} - 21 x

Slide 7 - Slide

What is the largest common factor of
and

9 x^{​ 2 ​ ​}

21 x

3

3 x

6 x

9 x^{​ 2 ​ ​}

Slide 8 - Quiz

Factorising binomials

You can factorise a binomial, by filling in a multiplication table in reverse:

1) find the largest common factor: &

2) make a multiplication table. Fill in the binomial inside the table and the largest common factor in the left column.

3) Fill in the missing factors

y = 9 x^{​ 2 ​ ​} - 21 x

9 x = 3 x \cdot 3 x

21 x = 7 \cdot 3 x

Slide 9 - Slide

Factorising binomials

You can factorise a binomial, by filling in a multiplication table in reverse:

1) find the largest common factor: &

2) make a multiplication table. Fill in the binomial inside the table and the largest common factor in the left column.

3) Fill in the missing factors

4) Write as a product of factors

y = 9 x^{​ 2 ​ ​} - 21 x

9 x = 3 x \cdot 3 x

21 x = 7 \cdot 3 x

Slide 10 - Slide

Factorising binomials

You can factorise a binomial, by filling in a multiplication table in reverse:

1) find the largest common factor: &

2) make a multiplication table. Fill in the binomial inside the table and the largest common factor in the left column.

3) Fill in the missing factors

4) Write as a product of factors

y = 9 x^{​ 2 ​ ​} - 21 x

9 x = 3 x \cdot 3 x

21 x = 7 \cdot 3 x

y = 3 x (3 x - 7)

Slide 11 - Slide

Try it out

Factorise the binomial

Take a photo of your solution in your notebook.

a = 24 t^{​ 2 ​ ​} + 16 t

Slide 12 - Slide

Factorise the binomial

a = 24 t^{​ 2 ​ ​} + 16 t

Slide 13 - Open question

Try it out

Factorise the binomial

Solution:

a = 24 t^{​ 2 ​ ​} + 16 t

a = 8 t (3 t + 2)

Slide 14 - Slide

Homework

§11.2 Do Exercises S14, 15 and S17

Slide 15 - Slide

Entry ticket (next lesson)

Slide 16 - Slide

2TH §11.2 Factorising binomials

Items in this lesson

Slide 1 - Slide

Slide 2 - Slide

Slide 3 - Mind map

Slide 4 - Slide

Slide 5 - Slide

Slide 6 - Slide

Slide 7 - Slide

Slide 8 - Quiz

Slide 9 - Slide

Slide 10 - Slide

Slide 11 - Slide

Slide 12 - Slide

Slide 13 - Open question

Slide 14 - Slide

Slide 15 - Slide

Slide 16 - Slide

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