6.1- Introduction
• Use letters to express generalised numbers and express arithmetic processes algebraically
• Substitute numbers for words and letters in formulae
• Construct and transform formulae and equations
6.2- Formula
E=mc2
E = Energy
m = mass
c= speed of light
6.3- Functions
• use function notation, e.g. f(x) = 3x – 5, f:x ⟼ 3x – 5, to
describe simple functions
• find inverse functions f-1(x)
6.4- Equivalences in Algebra
\(\frac{x}{y}\) = \(\frac{ax}{ay}\)
6.5- Expanding and Factorising 2
. Manipulate directed numbers
• use brackets and extract common factors
• expand products of algebraic expressions
• factorise where possible expressions of the form:
ax + bx + kay + kby
a2 x2 – b2 y2
a2+ 2ab + b2
ax2 + bx + c
• manipulate algebraic fractions
• factorise and simplify rational expressions
6.6- Summary and Review
Algebraic Identities
(a+b)2 =a2 +2ab+b2
(a-b)2 =a2 -2ab+b2
(a+b)(a-b)=a2 -b2
6.7- Assessment 6
Question 1: Factorise x2 +3x+2 ,