1. Use your mini whiteboards to share your answers…
Purple Pen of Progress Questions
1) Expand (x + 5) (x + 7)
x2 + 12x + 35
2) Expand (x - 6) (x - 3)
x2 - 9x + 18
3) Expand (4x - 2) (5x - 8)
20x2 - 42x + 16
Use your mini whiteboards to share your answers…

2. What does success look like in this lesson?
Learning Objective: Can I expand double brackets? (Level 7)
What does success look like in this lesson?
Pupils MUST be able to expand double brackets that involve only positive terms.
Pupils SHOULD be able to expand double brackets that involve negative terms.
Pupils COULD be able to expand double brackets where the co-efficient of the variable is greater than 1.

4. Connect Four Instructions: 1) Take it in turns to choose a question.
2) You cannot choose a box where the one below has not been shaded.
3) You should BOTH complete that question in your book.
4) If you agree, then the person who chose that question can shade that box in and initial it.
5) If you disagree, work together to peer assess each others’ work and find the correct answer.
6) The winner is to the first to initial four boxes in a row. They can go horizontally, vertically or diagonally.
1s: Game One
2s: Game Two
3s: Game Three

5. Expanding Double Brackets (Level 7) Game One
CONNECT FOUR
Expanding Double Brackets (Level 7)
Game One
(x+13) (x+13)
(x-14)(x+21)
(x+20)(x-10)
(x-16)(x+18)
(x+9)(x+17)
(x+7)(x+17)
(x-7)(x+19)
(x+16) (x-13)
(x-12)(x+14)
(x-8)(x+13)
(x+12)(x+12)
(x-3)(x+11)
(x+7)(x+17)
(x-2)(x+19)
(x+18) (x+3)
(x+1)(x+19)
(x+16)(x+5)
(x+10)(x+10)
(x+6)(x+13)
(x+11)(x+12)
(x-4)(x+18)
(x+3) (x+15)
(x+5)(x+2)
(x+8)(x-1)
(x+3)(x+16)
(x-9)(x+10)
(x+5)(x+13)
(x+11)(x+7)
(x+4) (x+1)
(x+1)(x+1)
(x+8)(x+8)
(x+3)(x+11)
(x+9)(x+2)
(x+7)(x+9)
(x+2)(x+14)
(x+1) (x+2)
(x+4)(x+3)
(x+6)(x+2)
(x+2)(x+7)
(x+5)(x+5)
(x+3)(x+9)
(x+6)(x+7)

6. Expanding Double Brackets (Level 7) Game One
CONNECT FOUR
Expanding Double Brackets (Level 7)
Game One
x2 + 26x +169
x2 + 7x + 294
x2 + 10x - 200
x2 + 2x - 288
x2 + 28x + 153
x2 + 24x + 119
x2 + 12x - 133
(x+13) (x+13)
(x-14)(x+21)
(x+20)(x-10)
(x-16)(x+18)
(x+9)(x+17)
(x+7)(x+17)
(x-7)(x+19)
x2 + 3x - 208
x2 + 2x - 168
x2 + 5x - 104
x2 + 24x + 144
x2 + 8x - 33
x2 + 24x + 119
x2 + 17x - 38
(x+16) (x-13)
(x-12)(x+14)
(x-8)(x+13)
(x+12)(x+12)
(x-3)(x+11)
(x+7)(x+17)
(x-2)(x+19)
x2 + 21x + 54
x2 + 20x + 19
x2 + 21x + 80
x2 + 20x + 100
x2 + 19x + 78
x2 + 23x + 132
x2 + 14x - 72
(x+18) (x+3)
(x+1)(x+19)
(x+16)(x+5)
(x+10)(x+10)
(x+6)(x+13)
(x+11)(x+12)
(x-4)(x+18)
x2 + 18x + 45
x2 + 7x + 10
x2 + 7x - 8
x2 + 19x + 48
x2 + x - 90
x2 + 18x + 65
x2 + 18x + 77
(x+3) (x+15)
(x+5)(x+2)
(x+8)(x-1)
(x+3)(x+16)
(x-9)(x+10)
(x+5)(x+13)
(x+11)(x+7)
x2 + 5x + 4
x2 + 2x + 1
x2 + 16x + 64
x2 + 14x + 33
x2 + 11x + 18
x2 + 16x + 63
x2 + 16x + 28
(x+4) (x+1)
(x+1)(x+1)
(x+8)(x+8)
(x+3)(x+11)
(x+9)(x+2)
(x+7)(x+9)
(x+2)(x+14)
x2 + 3x + 2
x2 + 7x + 12
x2 + 8x + 12
x2 + 9x + 14
x2 + 10x + 25
x2 + 12x + 27
x2 + 13x + 42
(x+1) (x+2)
(x+4)(x+3)
(x+6)(x+2)
(x+2)(x+7)
(x+5)(x+5)
(x+3)(x+9)
(x+6)(x+7)

7. Expanding Double Brackets (Level 7) Game Two
CONNECT FOUR
Expanding Double Brackets (Level 7)
Game Two
(x-13) (x-13)
(x-14)(x-21)
(x-20)(x-10)
(x-16)(x-18)
(x-9)(x-17)
(x-7)(x-17)
(x-7)(x-19)
(x-16) (x-13)
(x-12)(x-14)
(x-8)(x-13)
(x-12)(x-12)
(x-3)(x-11)
(x-7)(x-17)
(x-2)(x-19)
(x-18) (x-3)
(x-1)(x-19)
(x-16)(x-5)
(x-10)(x-10)
(x-6)(x-13)
(x-11)(x-12)
(x-4)(x-18)
(x-3) (x-15)
(x-5)(x-2)
(x-8)(x-1)
(x-3)(x-16)
(x-9)(x-10)
(x-5)(x+13)
(x-11)(x-7)
(x+4) (x-1)
(x+1)(x+1)
(x+8)(x-8)
(x-3)(x+11)
(x+9)(x-2)
(x-7)(x+9)
(x-2)(x+14)
(x-1) (x+2)
(x+4)(x-3)
(x+6)(x+2)
(x+2)(x+7)
(x+5)(x+5)
(x-3)(x+9)
(x-6)(x+7)

8. Expanding Double Brackets (Level 7) Game Two
CONNECT FOUR
Expanding Double Brackets (Level 7)
Game Two
x2 - 26x +169
x2 -35x +294
x2 - 30x +200
x2 -34x +288
x2 -26x +153
x2 - 24x +119
x2 -26x + 133
(x-13) (x-13)
(x-14)(x-21)
(x-20)(x-10)
(x-16)(x-18)
(x-9)(x-17)
(x-7)(x-17)
(x-7)(x-19)
x2 - 29x + 208
x2 - 26x +168
x2 -21x +104
x2 - 24x +144
x2 - 14x +33
x2 - 24x + 119
x2 + 21x + 38
(x-16) (x-13)
(x-12)(x-14)
(x-8)(x-13)
(x-12)(x-12)
(x-3)(x-11)
(x-7)(x-17)
(x-2)(x-19)
x2 - 21x + 54
x2 - 20x + 19
x2 - 21x + 80
x2 - 20x + 100
x2 - 19x + 78
x2 - 23x + 132
x2 + 22x + 72
(x-18) (x-3)
(x-1)(x-19)
(x-16)(x-5)
(x-10)(x-10)
(x-6)(x-13)
(x-11)(x-12)
(x-4)(x-18)
x2 - 18x + 45
x2 - 7x + 10
x2 - 9x + 8
x2 - 19x + 48
x2 - 19x + 90
x2 + 8x - 65
x2 - 18x + 77
(x-3) (x-15)
(x-5)(x-2)
(x-8)(x-1)
(x-3)(x-16)
(x-9)(x-10)
(x-5)(x+13)
(x-11)(x-7)
x2 + 3x - 4
x2 + 2x + 1
x2 - 64
x2 + 8x - 33
x2 + 7x - 18
x2 + 2x - 63
x2 + 12x - 28
(x+4) (x-1)
(x+1)(x+1)
(x+8)(x-8)
(x-3)(x+11)
(x+9)(x-2)
(x-7)(x+9)
(x-2)(x+14)
x2 + x - 2
x2 + x - 12
x2 + 8x + 12
x2 + 9x + 14
x2 + 10x + 25
x2 + 6x - 27
x2 + x - 42
(x-1) (x+2)
(x+4)(x-3)
(x+6)(x+2)
(x+2)(x+7)
(x+5)(x+5)
(x-3)(x+9)
(x-6)(x+7)

9. Expanding Double Brackets (Level 7) Game Three
CONNECT FOUR
Expanding Double Brackets (Level 7)
Game Three
(x-13) (8x-13)
(2x-14)(x-21)
(6x-2)(2x-10)
(x-16)(2x-18)
(5x-9)(2x-17)
(7x-7)(5x-17)
(8x-7)(5x-19)
(x-16) (4x-13)
(5x-12)(x-14)
(2x-8)(3x-13)
(8x-12)(x-12)
(2x-3)(4x-11)
(6x-7)(x-17)
(x-2)(7x-19)
(x-18) (4x-3)
(2x-1)(2x-19)
(3x-16)(x-5)
(4x-10)(x-10)
(5x-6)(2x-13)
(3x-11)(x-12)
(7x-4)(2x-18)
(3x-3) (3x-5)
(4x-5)(2x-2)
(7x-8)(x-1)
(4x-3)(7x-16)
(2x-9)(x-10)
(2x-5)(4x+13)
(4x-11)(x-7)
(3x+4) (6x-1)
(5x+1)(3x+1)
(2x+8)(6x-8)
(3x-3)(9x+11)
(4x+9)(5x-2)
(7x-7)(x+9)
(x-2)(7x+14)
(2x+1)(x+4)
(x+3)(3x+1)
(4x+6)(2x+2)
(2x+2)(2x+7)
(x+5)(4x+2)
(6x+3)(2x+7)
(5x+1)(3x+2)

10. Expanding Double Brackets (Level 7) Game Three
CONNECT FOUR
Expanding Double Brackets (Level 7)
Game Three
8x2 -117x +169
x2 -56x +294
12x2 - 64x +200
2x2 -50x +288
10x2 -103x +153
35x2 -154x +119
40x2 -187x +133
(x-13) (8x-13)
(2x-14)(x-21)
(6x-2)(2x-10)
(x-16)(2x-18)
(5x-9)(2x-17)
(7x-7)(5x-17)
(8x-7)(5x-19)
4x2 - 77x + 208
5x2 - 82x +168
6x2 -50x +104
8x2 -108x +144
8x2 - 34x +33
6x2 -109x + 119
7x2 + 33x + 38
(x-16) (4x-13)
(5x-12)(x-14)
(2x-8)(3x-13)
(8x-12)(x-12)
(2x-3)(4x-11)
(6x-7)(x-17)
(x-2)(7x-19)
4x2 - 75x + 54
4x2 - 40x + 19
3x2 - 31x + 80
4x2 - 50x + 100
5x2 - 77x + 78
3x2 - 47x + 132
14x2 -134x + 72
(x-18) (4x-3)
(2x-1)(2x-19)
(3x-16)(x-5)
(4x-10)(x-10)
(5x-6)(2x-13)
(3x-11)(x-12)
(7x-4)(2x-18)
9x2 - 24x + 45
8x2 - 18x + 10
7x2 - 15x + 8
28x2 - 85x + 48
2x2 - 29x + 90
8x2 + 6x - 65
4x2 - 39x + 77
(3x-3) (3x-5)
(4x-5)(2x-2)
(7x-8)(x-1)
(4x-3)(7x-16)
(2x-9)(x-10)
(2x-5)(4x+13)
(4x-11)(x-7)
3x2 + 21x - 4
15x2 + 8x + 1
12x2 +32x -64
27x2 + 6x - 33
20x2 + 37x - 18
7x2 + 56x - 63
7x2 - 28
(3x+4) (6x-1)
(5x+1)(3x+1)
(2x+8)(6x-8)
(3x-3)(9x+11)
(4x+9)(5x-2)
(7x-7)(x+9)
(x-2)(7x+14)
2x2 + 9x +4
3x2 + 10x +3
8x2 + 20x + 12
4x2 + 18x + 14
4x2 + 22x + 10
12x2 + 48x +21
15x2 + 13x + 2
(2x+1)(x+4)
(x+3)(3x+1)
(4x+6)(2x+2)
(2x+2)(2x+7)
(x+5)(4x+2)
(6x+3)(2x+7)
(5x+1)(3x+2)

11. Use your mini whiteboards to share your answers…
Purple Pen of Progress Questions
1) Expand (x + 8) (x + 2)
x2 + 10x + 16
2) Expand (x - 2) (x - 12)
x2 - 14x + 24
3) Expand (3x - 5) (7x - 2)
21x2 - 41x + 10
Use your mini whiteboards to share your answers…

12. (8x2 + 26x + 21) m2 1) (x2 + 3xy + 2y2) m2 (9x2 + 12x + 4) m2 3) 2)
SUPER EXTENSION 4x +7 1)
Find expressions for the areas of each of these gardens.
All measurements are in metres. 2x +3
(x2 + 3xy + 2y2) m2
(9x2 + 12x + 4) m2 3) x
+2y 3x +2 2) x
This plot of land is perfectly square. +y

13. E P A K F R B L G S C M H T D N

14. Use your mini whiteboards to share your answers…
Purple Pen of Progress Questions
1) Expand (x + 8) (x + 2)
x2 + 10x + 16
2) Expand (x - 2) (x - 12)
x2 - 14x + 24
3) Expand (3x - 5) (7x - 2)
21x2 - 41x + 10
Use your mini whiteboards to share your answers…

15. Have you been successful in this lesson?
Learning Objective: Can I expand double brackets? (Level 7)
Have you been successful in this lesson?
Pupils MUST be able to expand double brackets that involve only positive terms.
Pupils SHOULD be able to expand double brackets that involve negative terms.
Pupils COULD be able to expand double brackets where the co-efficient of the variable is greater than 1.