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Entry Activity Match 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

Factorising grade a (nisar's method)

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Page 1: 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

Page 2: 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

Page 3: Factorising grade a (nisar's method)

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

Page 4: Factorising grade a (nisar's method)

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.

Page 5: Factorising grade a (nisar's method)

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.

Page 6: Factorising grade a (nisar's method)

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

Page 7: Factorising grade a (nisar's method)

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

Page 8: Factorising grade a (nisar's method)

Answers

Page 9: Factorising grade a (nisar's method)

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

Page 10: Factorising grade a (nisar's method)

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

Page 11: Factorising grade a (nisar's method)

Answers

Page 12: Factorising grade a (nisar's method)

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

Page 13: Factorising grade a (nisar's method)
Page 14: Factorising grade a (nisar's method)

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

Page 15: Factorising grade a (nisar's method)

Plenary