StarterStarter

Multiply the followingMultiply the following

1.1. 2a 2a x x 3b3b

2.2. 3s 3s xx 4t 4t

3.3. 4d 4d xx 6d 6d

4.4. 3a 3a xx a a xx b b

5.5. 5y 5y xx 4z 4z xx y y

Expanding brackets Expanding brackets

Learning Learning Objectives:Objectives:

To be able to expand To be able to expand

brackets in algebra. brackets in algebra. Key WordsKey Words ExpandingExpanding Expression Expression AlgebraAlgebra bracketsbrackets

L.O : L.O : To be able expand brackets in algebra.To be able expand brackets in algebra.

2(3a+2)2(3a+2)

2 (2 (3a3a+2+2) = ) = 6a6a +4+4

L.O : L.O : To be able expand brackets in algebra.To be able expand brackets in algebra.

3(2b+1)3(2b+1)

3 (3 (2b2b+1+1) = ) = 6b6b +3+3

L.O : L.O : To be able expand brackets in algebra.To be able expand brackets in algebra.

5(4t+5s)5(4t+5s)

5 (5 (4t4t+5s+5s) = ) = 20t20t +25 s+25 s

L.O : L.O : To be able expand brackets in algebra.To be able expand brackets in algebra.

3(2d-3e)3(2d-3e)

3 (3 (2d2d-3e-3e) =) = 6d6d -9e-9e

L.O : L.O : To be able expand brackets in algebra.To be able expand brackets in algebra.

7a(2b-3c)7a(2b-3c)

7a (27a (2bb-3c-3c) =) =14ab14ab -21ac-21ac

L.O : L.O : To be able expand brackets in algebra.To be able expand brackets in algebra.

Expand the following Expand the following bracketsbrackets

1.1. 4(2a+4)4(2a+4)

2.2. 5(3b-c)5(3b-c)

3.3. 3(4b-2c)3(4b-2c)

4.4. 6(3h-4k)6(3h-4k)

5.5. 8( 3r-2q-s) 8( 3r-2q-s)

AnswerAnswer

1.1. 8a+168a+16

2.2. 15b-5c15b-5c

3.3. 12b-6c12b-6c

4.4. 18h-24k18h-24k

5.5. 24r-16q-8s24r-16q-8s

Card matching activityCard matching activity

Sort out the card to see what shape Sort out the card to see what shape you come up with.you come up with.

First group to come up with a shape First group to come up with a shape will win a credit each will win a credit each

44

http://www.mymaths.co.uk/gold/http://www.mymaths.co.uk/gold/brackets/bracketsMovie.htmlbrackets/bracketsMovie.html

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.

6n – 8 + 9n + 15

= 6n + 9n – 8 + 15

= 15n + 7

2(3n – 4) + 3(3n + 5) =

We need to multiply out both brackets and collect together like terms.

15a + 10b – 2a – 5ab

= 15a – 2a + 10b – 5ab

= 13a + 10b – 5ab

Merit Question 5 Minutes

5(3a + 2b) – a(2 + 5b) =

Expand and simplify: 5(3a + 2b) – a(2 + 5b)

Expanding brackets

Sum books

10 simplifying

Ex 1 question 21-30

Worksheet A and BWorksheet A and B

Complete worksheetComplete worksheet

Complete Section A ( If you are not very Complete Section A ( If you are not very confident yet) confident yet)

Complete section B ( If you are very Complete section B ( If you are very confident) confident)

PlenaryPlenary

Expand the following brackets, write your Expand the following brackets, write your answer using the mini white board. answer using the mini white board.

2( 3y+3)2( 3y+3) 6y+66y+6 3(5t-2q)3(5t-2q) 15t-6q15t-6q 5(p-2r)5(p-2r) 5p-10r5p-10r 3s(2t-u-4v)3s(2t-u-4v) 6st-3su-12sv6st-3su-12sv 8a(3d+2e-5f)8a(3d+2e-5f) 24ad+16ae-40af24ad+16ae-40af