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Connect: Expand & Factorise…

Pink

2(x+3) + 4(x+5)

7(2x+1) + 3(x+5)

x(1+x) + 3(x+4)

2x(5+x)+5x(2x+3)

3(x+4) + x(3+x) + 2x

Amber

2(x-3) + 4(x+5)

7(2x+1) - 3(x+5)

x(1+x) + 3(x-4)

2x(5+x)-5x(2x+3)

3(x+4) + x(3+x) – 2x

Green

2(x-3) + 4(x-5)

7(2x+1) - 3(x-5)

x(1-x) - 3(x+4)

2x(5+x)-5x(2x-3)

3(x+4) - x(3-x) – 2x

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Describe

Title: Factorisation in Algebra

Objective:

To write any algebraic expression as a product of primes & variables.

Key Words and Diagrams:�Product

Primes

Decomposition

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New Learning

Factorise/write as a product of primes:

4

6

12

Challenge

Factorise/write as a product of primes:

10

20

24

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New Learning

Factorise:

6a

2xy

4x²

12k²

20m³

30g²h

Challenge

Factorise:

10x

5ab

6n³

15n²m³

24xy²

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Challenge

Factorise:

12x

10ab

18n³

22n²m³

30x²y

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New Learning

Find the HCF of:

6 & 10

6a & 10

Challenge

Find the HCF of:

4 & 12

4 & 12x

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New Learning

Find the HCF of:

6a & 10a

6a²& 10a

Challenge

Find the HCF of:

4x & 12y

4x & 12x

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New Learning

Find the HCF of:

6a²& 10a

Challenge

Find the HCF of:

4x & 12x²

4x² & 12xy

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New Learning

Find the HCF of:

6ab & 10b

6a²b & 10ab²

Challenge

Find the HCF of:

4xy & 12x²

4xy²& 3x²y³

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New Learning

Find the HCF of:

6a², 4a & 10a³

Challenge

Find the HCF of:

8y², 4xy & 12x²y

8y²,4x² & 12x²y

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Demonstrate:

Find the HCF of:

�
�
�
�
�
�
�
�

15 and 12

15a and 12b

15a²and 12a

15a²b and 12ab²

15a²b and 60ab²

15a⁴b³c³ and 60a²bc²

15a²b³, 25ab³ and 60 a³b²

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Connect

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Challenge

Find the HCF of:

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New Learning

�

Factorise:

2x + 2

3x - 3

We Do

Challenge

�

Factorise:

3x + 3

5x – 5

8x + 8 – 8y

You Do

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New Learning

�

Factorise:

2x + 6

2x - 6

We Do

Challenge

�

Factorise:

3x + 6

5x – 25

7x – 21 – 70y

You Do

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New Learning

�

Factorise:

14x + 7

12x + 6

We Do

Challenge

�

Factorise:

30x – 5

12x – 3y + 15

You Do

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New Learning

�

Factorise:

4x + 10

6x + 15

6x + 9y + 15

We Do

Challenge

�Factorise:

6x + 9

14x – 35

22x + 55y - 99

You Do

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Demonstrate: Factorise…

3x + 9

16x + 8

12x – 4

15x + 35

16x – 36

30 – 12x

10x + 3

25x– 90 + 2x

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Connect

Factorise:

4x + 8

12x + 6

15x – 3

12x + 16

21x – 49

30 – 12x

8x + 3

5x– 60 + 7x

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New Learning

�

Factorise:

2xy + 6y

We Do

Challenge

�

Factorise:

3xy + 6x

You Do

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New Learning

�

Factorise:

2xy – 6y

We Do

Challenge

�

Factorise:

5xy – 25x

You Do

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New Learning

�

Factorise:

12p + 6pq

We Do

Challenge

�

Factorise:

30pq – 5q

You Do

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New Learning

�

Factorise:

4k + 10k²

We Do

Challenge

�

Factorise:

12h² + 60h

18x – 27x²

You Do

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New Learning

�

Factorise:

6x²y + 15y

We Do

Challenge

�

Factorise:

10fg² – 25g²

8m²n + 12mn

You Do

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Challenge: Factorise…

3xy + 9x

12x² – 4x

16xy + 8y – 24y²

15xy + 35y

16xy – 36x²

30x² – 12x + 21

10x²y + 3x³

25xy²– 40x³y

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Demonstrate: Factorise…

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Demonstrate: Factorise…

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Connect

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Describe

Title: Expanding, Factorising and Simplifying

Objective:

To link and use the skills of expanding, factorising and collecting like terms.

Key Words and Diagrams:�Expand

Simplify

Collect Like Terms

Factorise

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New Learning

We Do

Challenge

You Do

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New Learning

We Do

Challenge

You Do

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New Learning

We Do

Challenge

You Do

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New Learning

We Do

Challenge

You Do

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New Learning

We Do

Challenge

You Do

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Challenge