The document provides examples for expanding brackets in algebra. It begins with learning objectives to expand brackets and lists key terms. Examples are then shown of expanding various expressions containing brackets, such as 2(3a+2), 3(2b+1), and 7a(2b-3c). Students are asked to expand additional examples and the answers are provided. The document concludes with a worksheet for students to practice expanding brackets.

1. Starter
Multiply the following
1.
2.
3.
4.
5.
2a x 3b
3s x 4t
4d x 6d
3a x a x b
5y x 4z x y

2. Expanding brackets

Learning Objectives:
To be able to expand brackets in
algebra.
Key Words




Expanding
Expression
Algebra
brackets

3. L.O :

To be able expand brackets in algebra.
2(3a+2)
2 (3a+2) = 6a +4

4. L.O :
To be able expand brackets in algebra.
 3(2b+1)
3 (2b+1) = 6b +3

5. L.O :
To be able expand brackets in algebra.
 5(4t+5s)
5 (4t+5s) = 20t +25 s

6. L.O :
To be able expand brackets in algebra.
 3(2d-3e)
3 (2d-3e) = 6d -9e

7. L.O :
To be able expand brackets in algebra.
 7a(2b-3c)
7a (2b-3c) = 14ab -21ac

8. L.O :
To be able expand brackets in algebra.
Expand the following
brackets
1.
2.
3.
4.
5.
4(2a+4)
5(3b-c)
3(4b-2c)
6(3h-4k)
8( 3r-2q-s)
Answer
1.
2.
3.
4.
5.
8a+16
15b-5c
12b-6c
18h-24k
24r-16q-8s

9. Card matching activity

Sort out the card to see what shape you come up
with.

First group to come up with a shape will win a
credit each

10. 4

http://www.mymaths.co.uk/gold/brackets/bra
cketsMovie.html

11. Expanding brackets and
simplifying
Expand and simplify: 2(3n – 4) + 3(3n + 5)
We need to multiply out both brackets and collect together
like terms.
2(3n – 4) + 3(3n + 5) = 6n – 8 + 9n + 15
= 6n + 9n – 8 + 15
= 15n + 7

12. Merit Question 5 Minutes
Expand and simplify: 5(3a + 2b) – a(2 + 5b)
We need to multiply out both brackets and collect together
like terms.
5(3a + 2b) – a(2 + 5b) = 15a + 10b – 2a – 5ab
= 15a – 2a + 10b – 5ab
= 13a + 10b – 5ab

13. Expanding brackets

Sum books

10 simplifying

Ex 1 question 21-30

14. Worksheet A and B
Complete worksheet

Complete Section A ( If you are not very confident yet)

Complete section B ( If you are very confident)

15. Plenary
Expand the following brackets, write your answer using the
mini white board.

2( 3y+3)
6y+6

3(5t-2q)
15t-6q
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5(p-2r)
5p-10r

3s(2t-u-4v)
6st-3su-12sv

8a(3d+2e-5f)
24ad+16ae-40af