Starter Multiply the following 1 2 3 4

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

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

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

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

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

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

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

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

Further Expansion

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

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

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