Substitute numbers into expressions Find and use formulae
Substitute numbers into expressions Find and use formulae Expand simplify expressions containing brackets Simplify algebraic expressions by collecting like terms Expand simplify expressions with more than 1 bracket Solve simple linear equations Solve equations that involve brackets Solve equations with variables on both sides
Expand a single bracket (Level 5 c) EXPANDING BRACKETS To expand a bracket, multiply the term outside the bracket by everything inside the bracket x 5(a + 3) x 5 xa+5 x 3 5 a + 15
Expand a single bracket (Level 5 c) EXPANDING BRACKETS To expand a bracket, multiply the term outside the bracket by everything inside the bracket x 4(s + 7) x 4 s + 28
Expand a single bracket (Level 5 c) EXPANDING BRACKETS To expand a bracket, multiply the term outside the bracket by everything inside the bracket x 3(p + 11) x 3 p + 33
Expand a single bracket (Level 5 c) EXPANDING BRACKETS To expand a bracket, multiply the term outside the bracket by everything inside the bracket x 8(y + 7) x 8 y + 56
Expand a single bracket (Level 5 c/5 b) EXPANDING BRACKETS To expand a bracket, multiply the term outside the bracket by everything inside the bracket x 8(2 y + 7) x 8 x 2 y + 7 x 8 16 y + 56
Expand a single bracket (Level 5 c/5 b) EXPANDING BRACKETS To expand a bracket, multiply the term outside the bracket by everything inside the bracket x 9(4 p + 8) x 36 p + 72
Expand a single bracket (Level 5 c/5 b) EXPANDING BRACKETS To expand a bracket, multiply the term outside the bracket by everything inside the bracket x 11(6 a + 5) x 66 a + 55
Expand a single bracket (Level 5 c/5 b) EXPANDING BRACKETS To expand a bracket, multiply the term outside the bracket by everything inside the bracket x 7(8 s + 12) x 56 s + 84
Expand a single bracket (Level 5 b) EXPANDING BRACKETS To expand a bracket, multiply the term outside the bracket by everything inside the bracket x 4(t - 3) x 4 xt -4 x 3 4 t - 12
Expand a single bracket (Level 5 b) EXPANDING BRACKETS To expand a bracket, multiply the term outside the bracket by everything inside the bracket x 3(2 p - 7) x 6 p - 21
Expand a single bracket (Level 5 b) EXPANDING BRACKETS To expand a bracket, multiply the term outside the bracket by everything inside the bracket x 5(3 f - 8) x 15 f - 40
Expand a single bracket (Level 5 b) EXPANDING BRACKETS To expand a bracket, multiply the term outside the bracket by everything inside the bracket x 10(7 – 2 e) x 70 - 20 e
YOUR TURN. . . 7 MINUTES!! a) 5(t+2) f) 2(8 b+2) =5 t + = c) = + 7(k-3) h) 7(2 a-2) = = d) 6(2 w+2) i) 8(2+k) = + e) 8(p-1) = - j) = = 6(q+2) p) =6 q + b) 3(2 j+4) g) 5(9 y-3) = k) 5(6 -2 f) 5(2+g) = l) 8(3 e+1) q) 10(3 h+2 = + = m) 6(r-4) r) 3(12 -z) = = n) 5(2 u+3) s) 7(3 m+11 = = + o) 5(4 d-2) t) 4(3 -2 b) = - =
Expand a single bracket (Level 5 a) EXTENSION QUESTIONS 1) 2) 3) 4) 5) 6) 7(3 k + p – 2) 4(3 – k + 2 t) 5(m – 3 + 6 p) 4(2 – 5 k – 2 m) x(x + 3) m(3 m + 6 + 4 a)
Expand two brackets and simplify the expression (Level 6 c) 3(t + 7) + 4(t + 5) 3 t + 21 + 4 t + 20 3 t + 4 t + 21 + 20 7 t + 41
Expand two brackets and simplify the expression (Level 6 c) 2(m + 9) + 5(m + 6) 2 m + 18 + 5 m + 30 2 m + 5 m + 18 + 30 7 m + 48
Expand two brackets and simplify the expression (Level 6 c) 3(d + 7) + 2(d + 5) 3 d + 21 + 2 d + 10 3 d + 21 + 10 5 d + 31
Expand two brackets and simplify the expression (Level 6 c/6 b) 8(2 s + 6) + 4(3 s + 5) 16 s + 48 + 12 s + 20 16 s + 12 s + 48 + 20 28 s + 68
Expand two brackets and simplify the expression (Level 6 c/6 b) 3(4 t + 5) + 8(2 t + 1) 12 t + 15 + 16 t + 8 12 t + 16 t + 15 + 8 28 t + 23
Expand two brackets and simplify the expression (Level 6 b) 4(p + 3) + 2(p - 4) 4 p + 12 + 2 p - 8 4 p + 2 p + 12 - 8 6 p + 4
Expand two brackets and simplify the expression (Level 6 b) 6(f + 4) + 4(f - 1) 6 f + 24 + 4 f - 4 6 f + 4 f + 24 - 4 10 f + 20
Expand two brackets and simplify the expression (Level 6 b) 3(y + 9) + 2(y - 5) 3 y + 27 + 2 y - 10 3 y + 27 - 10 5 y + 17
Expand two brackets and simplify the expression (Level 6 b) 3(2 y + 5)+ 2(3 y - 5) 6 y + 15 + 6 y - 10 6 y + 15 - 10 12 y + 5
Expand two brackets and simplify the expression (Level 6 b) 4(3 x + 4)+ 2(3 x - 8) 12 x + 16 + 6 x - 16 12 x + 6 x + 16 - 16 18 x + 0
Expand two brackets and simplify the expression (Level 6 b) 2(7 c+ 9) + 2(5 c - 8) 14 c + 18 + 10 c - 16 14 c + 10 c + 18 - 16 24 c + 2
Expand two brackets and simplify the expression (Level 6 b) PAGE 82 –EXERCISE 6 C –QUESTION 4 ONLY!!! PAGE 83 –EXTENSION TASK –QUESTION 1 ONLY (6 A)
PLENARY Simplify 4 x + 3 x + 9 Expand 4(2 s + 5) Expand simplify 3(2 s + 4) + 2(3 s + 6)
CHALLENGE QUESTION!! Find an algebraic expression for the area of these rectangles
- Slides: 29