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

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

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

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

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

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

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

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

Further Expansion

Expanding brackets and simplifying Expand and simplify:2(3 n – 4) + 3(3 n + 5) We need to multiply out both brackets and collect together like terms. 6n6n – n + 15 = 6 n + 9 n – = 15 n + 7 2(3 n – 4) + 3(3 n + 5) =

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

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