Factorising grade a (nisar's method)

Entry ActivityMatch the pairs

(x + 6)(x + 1)

x² + 7x + 6

(x + 2)(x + 3)(x – 2)(x + 3)

(x + 2)(x – 3)

(x – 2)(x – 3)

(x – 6)(x – 1)

x² + 5x + 6

x² + x - 6

x² - x - 6

x² - 5x + 6

x² - 7x + 6(x + 6)(x - 1)

(x - 6)(x + 1)x² - 5x - 6

x² + 5x - 6

Entry ActivityMatch the pairs

(x + 6)(x + 1)

x² + 7x + 6

(x + 2)(x + 3)(x – 2)(x + 3)

(x + 2)(x – 3)

(x – 2)(x – 3)

(x – 6)(x – 1)

x² + 5x + 6

x² + x - 6

x² - x - 6

x² - 5x + 6

x² - 7x + 6(x + 6)(x - 1)

(x - 6)(x + 1)x² - 5x - 6

x² + 5x - 6

Today I will learn to factorise quadratic equations with a co-efficient before the x² Grade A

Challenge Objective: To solve quadratic equations with a co-efficient before the x² Grade A*

Key WordsQuadratic, Solve, Co-efficient, Factorise,

Hence, Factors, Brackets

Factorise 3x² + 5x – 2

3 x -2 = -6Pairs of factors of 6 are (1 & -6), (-1 & 6), (-2 & 3) or (2 & -3).Factors needed are -1 & 6

3x² - 1x + 6x – 2

3x² + 6x -1x – 2 3x(x + 2) -1(x + 2)(3x – 1)(x + 2)

1) Ensure the equation is in the form ax² + bx + c

2) Multiply a and c3) Find the pairs of factors of 2) that

make b.4) Look at the pairs of factors, you

need the pair that add or subtract to make b.

5) The original equation out in the with the two factors taking the place of b.

6) Split into two equations that will factorise and factorise them.

7) You know you are correct if both brackets are the same. Put together the two terms before the brackets to make 1st bracket and the bracket is the second.

Factorise 15x² + 2x – 1

15 x -1 = -15Pairs of factors of 15 are (1 & -15), (1 & -15), (-5 & 3) or (5 & -3).Factors needed are -3 & 5

15x² - 3x + 5x – 1

15x² + 5x -3x – 1 5x(3x + 1) -1(3x + 1)(5x – 1)(3x + 1)

1) Ensure the equation is in the form ax² + bx + c

2) Multiply a and c3) Find the pairs of factors of 2) that

make b.4) Look at the pairs of factors, you

need the pair that add or subtract to make b.

5) The original equation out in the with the two factors taking the place of b.

6) Split into two equations that will factorise and factorise them.

7) You know you are correct if both brackets are the same. Put together the two terms before the brackets to make 1st bracket and the bracket is the second.

Today I will learn to factorise quadratic equations with a co-efficient before the x² Grade A

Challenge Objective: To solve quadratic equations with a co-efficient before the x² Grade A*

Key WordsQuadratic, Solve, Co-efficient, Factorise,

Hence, Factors, Brackets

Today I will learn to factorise quadratic equations with a co-efficient before the x² Grade A

Answers

Today I will learn to factorise quadratic equations with a co-efficient before the x² Grade A

Challenge Objective: To solve quadratic equations with a co-efficient before the x² Grade A*

Key WordsQuadratic, Solve, Co-efficient, Factorise,

Hence, Factors, Brackets

Today I will learn to factorise quadratic equations with a co-efficient before the x² Grade A

Answers

Today I will learn to factorise quadratic equations with a co-efficient before the x² Grade A

Challenge Objective: To solve quadratic equations with a co-efficient before the x² Grade A*

Key WordsQuadratic, Solve, Co-efficient, Factorise,

Hence, Factors, Brackets

Today I will learn to factorise quadratic equations with a co-efficient before the x² Grade A

Challenge Objective: To solve quadratic equations with a co-efficient before the x² Grade A*

Key WordsQuadratic, Solve, Co-efficient, Factorise,

Hence, Factors, Brackets

Plenary