Substitute numbers into expressions Find and use formulae

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Presentation transcript:

Substitute numbers into expressions Find and use formulae Expand and simplify expressions containing brackets Simplify algebraic expressions by collecting like terms Expand and simplify expressions with more than 1 bracket Solve equations that involve brackets Solve simple linear equations Solve equations with variables on both sides

Expand a single bracket (Level 5c) Expanding Brackets To expand a bracket, multiply the term outside the bracket by everything inside the bracket x 5(a + 3) x 5 x a + 5 x 3 5a + 15

Expand a single bracket (Level 5c) Expanding Brackets To expand a bracket, multiply the term outside the bracket by everything inside the bracket x 4(s + 7) x 4s + 28

Expand a single bracket (Level 5c) Expanding Brackets To expand a bracket, multiply the term outside the bracket by everything inside the bracket x 3(p + 11) x 3p + 33

Expand a single bracket (Level 5c) Expanding Brackets To expand a bracket, multiply the term outside the bracket by everything inside the bracket x 8(y + 7) x 8y + 56

Expand a single bracket (Level 5c/5b) Expanding Brackets To expand a bracket, multiply the term outside the bracket by everything inside the bracket x 8(2y + 7) x 8 x 2y + 7 x 8 16y + 56

Expand a single bracket (Level 5c/5b) Expanding Brackets To expand a bracket, multiply the term outside the bracket by everything inside the bracket x 9(4p + 8) x 36p + 72

Expand a single bracket (Level 5c/5b) Expanding Brackets To expand a bracket, multiply the term outside the bracket by everything inside the bracket x 11(6a + 5) x 66a + 55

Expand a single bracket (Level 5c/5b) Expanding Brackets To expand a bracket, multiply the term outside the bracket by everything inside the bracket x 7(8s + 12) x 56s + 84

Expand a single bracket (Level 5b) Expanding Brackets To expand a bracket, multiply the term outside the bracket by everything inside the bracket x 4(t - 3) x 4 x t - 4 x 3 4t - 12

Expand a single bracket (Level 5b) Expanding Brackets To expand a bracket, multiply the term outside the bracket by everything inside the bracket x 3(2p - 7) x 6p - 21

Expand a single bracket (Level 5b) Expanding Brackets To expand a bracket, multiply the term outside the bracket by everything inside the bracket x 5(3f - 8) x 15f - 40

Expand a single bracket (Level 5b) Expanding Brackets To expand a bracket, multiply the term outside the bracket by everything inside the bracket x 10(7 – 2e) x 70 - 20e

YOUR TURN...... 7 MINUTES!! a) 5(t+2) f) 2(8b+2) k) 6(q+2) p) 5(2+g) = b) 3(2j+4) g) 5(9y-3) l) 8(3e+1) q) 10(3h+2) = + = = + = c) 7(k-3) h) 7(2a-2) m) 6(r-4) r) 3(12-z) = - = = - = d) 6(2w+2) 8(2+k) n) 5(2u+3) s) 7(3m+11) = + = = + = e) 8(p-1) j) 5(6-2f) o) 5(4d-2) t) 4(3-2b) = - = = - =

Expand a single bracket (Level 5a) Extension Questions 1) 7(3k + p – 2) 2) 4(3 – k + 2t) 3) 5(m – 3 + 6p) 4) 4(2 – 5k – 2m) 5) x(x + 3) 6) m(3m + 6 + 4a)

Expand two brackets and simplify the expression (Level 6c) + 4t + 20 3t + 4t + 21 + 20 7t + 41

Expand two brackets and simplify the expression (Level 6c) + 5m + 30 2m + 5m + 18 + 30 7m + 48

Expand two brackets and simplify the expression (Level 6c) + 2d + 10 3d + 2d + 21 + 10 5d + 31

Expand two brackets and simplify the expression (Level 6c/6b) + 12s + 20 16s + 12s + 48 + 20 28s + 68

Expand two brackets and simplify the expression (Level 6c/6b) + 12t + 16t + 15 + 8 28t + 23

Expand two brackets and simplify the expression (Level 6b) + 2p - 8 4p + 2p + 12 - 8 6p + 4

Expand two brackets and simplify the expression (Level 6b) + 4f - 4 6f + 4f + 24 - 4 10f + 20

Expand two brackets and simplify the expression (Level 6b) + 2y - 10 3y + 2y + 27 - 10 5y + 17

Expand two brackets and simplify the expression (Level 6b) + 6y - 10 6y + 6y + 15 - 10 12y + 5

Expand two brackets and simplify the expression (Level 6b) + 6x - 16 12x + 6x + 16 - 16 18x + 0

Expand two brackets and simplify the expression (Level 6b) + 10c - 16 14c + 10c + 18 - 16 24c + 2

Page 82 – Exercise 6c – Question 4 ONLY!!! Expand two brackets and simplify the expression (Level 6b) Page 82 – Exercise 6c – Question 4 ONLY!!! Page 83 – Extension task – Question 1 only (6a)

Expand 4(2s + 5) Expand and simplify 3(2s + 4) + 2(3s + 6) PLENARY Simplify 4x + 3 + 3x + 9 Expand 4(2s + 5) Expand and simplify 3(2s + 4) + 2(3s + 6)

Find an algebraic expression for the area of these rectangles CHALLENGE QUESTION!! Find an algebraic expression for the area of these rectangles