Expanding two brackets

1. Saturday, 28 November 2015 Task on Entry
30 5
70
8
Use the grid method to multiply the following:
2100 350
240 40
= 2100 + 350 + 240 + 40
= 2730

2. Basic Algebra
Expanding Double Brackets
Grade 4

3. Saturday, 28 November 2015 Expanding double brackets
We can use the grid method to help us multiply double brackets
x + 5
+ 6
x 𝒙 𝟐
+𝟓𝒙
+𝟔𝒙 +𝟑𝟎
= 𝒙 𝟐
+𝟓𝒙 + 𝟔𝒙 + 𝟑𝟎
= 𝒙 𝟐
+𝟏𝟏𝒙 + 𝟑𝟎
(𝒙 + 𝟓)(𝒙 + 𝟔)

4. Saturday, 28 November 2015 Expanding double brackets
x + 5
- 2
x 𝒙 𝟐
+𝟓𝒙
−𝟐𝒙 −𝟏𝟎
= 𝒙 𝟐
+𝟓𝒙 − 𝟐𝒙 − 𝟏𝟎
= 𝒙 𝟐
+𝟑𝒙 − 𝟏𝟎
(𝒙 + 𝟓)(𝒙 − 𝟐)

5. Saturday, 28 November 2015 Expanding double brackets
x - 3
- 2
x 𝒙 𝟐
−𝟑𝒙
−𝟐𝒙 + 𝟔
= 𝒙 𝟐
−𝟑𝒙 − 𝟐𝒙 + 𝟔
= 𝒙 𝟐
−𝟓𝒙 − 𝟏𝟎
(𝒙 − 𝟑)(𝒙 − 𝟐)

6. Saturday, 28 November 2015 Expanding double brackets
(x+1) (x+3) (x+2) (x+7)
(x-2) (x-4)(x-7) (x-3) (x+5) (x-3)
(x+5) (x-1)

7. Saturday, 28 November 2015 Expanding double brackets
2x + 5
- 2
x 𝟐𝒙 𝟐
+𝟓𝒙
−𝟒𝒙 −𝟏𝟎
= 𝟐𝒙 𝟐
+𝟓𝒙 − 𝟒𝒙 − 𝟏𝟎
= 𝟐𝒙 𝟐
+𝒙 − 𝟏𝟎
(𝟐𝒙 + 𝟓)(𝒙 − 𝟐)

8. Saturday, 28 November 2015 Expanding double brackets
2x + 5
- 2
3x 𝟔𝒙 𝟐 +𝟏𝟓𝒙
−𝟒𝒙 −𝟏𝟎
= 𝟔𝒙 𝟐
+𝟏𝟓𝒙 − 𝟒𝒙 − 𝟏𝟎
= 𝟔𝒙 𝟐
+𝟏𝟏𝒙 − 𝟏𝟎
(𝟐𝒙 + 𝟓)(𝟑𝒙 − 𝟐)

9. Saturday, 28 November 2015 Expanding double brackets

10. Saturday, 28 November 2015 Expanding double brackets
= 𝒙 𝟐
+𝟗𝒙 + 𝟐𝟎
= 𝒙 𝟐
+𝟏𝟏𝒙 + 𝟑𝟎
= 𝒙 𝟐
−𝟐𝒙 − 𝟑
= 𝒙 𝟐
+𝟒𝒙 − 𝟓
= 𝟐𝒙 𝟐
+𝟏𝟕𝒙 + 𝟑𝟎

11. Saturday, 28 November 2015 Expanding double brackets
= 𝒙 𝟐
+𝟏𝟏𝒙 + 𝟑𝟎
= 𝒙 𝟐
−𝟐𝒙 − 𝟖
= 𝟔𝒙 𝟐
+𝟏𝟒𝒙 + 𝟒
= 𝟏𝟐𝒙 𝟐
+𝟓𝒙 − 𝟐
= 𝟑𝒙 𝟐
−𝟏𝟒𝒙 + 𝟏𝟓

12. Saturday, 28 November 2015 Expanding double brackets
1 2 3 4 5 6
1 (x + 2) (x + 3) (x + 6) (x + 1) (2x + 1)
(x + 8)
2 (x – 3) (x – 5) (2x + 6) (x + 3) (3x + 1) (x – 2)
3 (x + 2) (x – 3) (x – 2) (6x + 1) (2x + 1) (x + 3)
4 (x + 1) (2x + 2) (x + 3) (x – 3) (x + 7) (x – 1)
5 (x + 10) (x – 3) (2x + 3) (2x + 4) (2x + 3) (x + 2)
6 (x + 5) (4x + 1) (x + 4) (2x + 1) (x – 7) (5x + 1)
Roll two dice to get the coordinates of your first
bracket. Roll the dice again to get your second bracket.

13. Saturday, 28 November 2015
EXPANDING BRACKETS – CONNECT 4
Pick a question from the grid on the left. In your books, expand and simplify the brackets. Once you have expanded the brackets, look for your answer in
the grid on the left. In order to win the game, you need to get 4 boxes in a row in the grid on the right. Good luck!

14. Saturday, 28 November 2015 Expanding double brackets - tarsia

15. Saturday, 28 November 2015 Tarsia Solution

16. Saturday, 28 November 2015

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18. Saturday, 28 November 2015