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Algebra (Fluent with arithmetic (Notation and Symbols (Greek alphabet,…
Algebra
Fluent with arithmetic
Rules of arithmetic
BODMAS
Rounding
Why does -1 times -1=1?
Arithmetic with fractions
Factorial
Modulus
Notation and Symbols
Greek alphabet
Definition of Algebraic Expression
Meaning of =
The not equals sign
Notation for change of in a variable
Sigma/sum notation
Indices
Index notation
base
power
Rules of indices
Multiplying numbers with the same base
Raising a number to a power
Dividing numbers with the same base
Raising a number to the power 0
Raising a number to the power 1
Polynomials
Negative and fractional indices
Scientific notation
Engineering constants
Algebraic fractions
Cancelling common factors
Multiplication and division
Addition and subtraction
Factoring algebraic expressions
Lowest common denominator
Logarithms
Definition of a logarithm
Reverse of raising to a power
base
Rules of logarithms
Log of a product
Log of a fraction
Log of a number raised to a power
Log of the base raised to a power
Log of the base
Log of 1
Simplifying expressions involving logarithms
Base 10 and natural logs
e
ln
Using a calculator
Changing base
Expanding algebraic expressions
Collecting like terms
Why do we need brackets?
Expanding brackets in algebraic expressions
a(b+c)
(a+b)(c+d)
Solving inequalities
The inequality symbols
Solving simple inequalities
permissible operations
Being careful when multiplying/dividing by a negative number
Solving inequalities involving the modulus sign
Separating the inequality
Geometric interpretation
Factorising algebraic expressions
Factoring simple expressions
Factoring quadratics
Simple quadratics
Quadratics with coefficient of x squared not 1
Difference of two squares
Complete square
Formulae and transposition
Using formulae and substitution
Consistent sets of units
Examples using pi
Transposition/rearranging of formulae
Whatever is done to one side is done to the other
Permissible operations
Solving linear and quadratic equations
Linear equations
Definition of a linear equation
Solving linear equations
Making the unknown the subject
Permissible operations
Quadratic equations
Definition of a quadratic equation
Solving quadratic equations
Factorisation
Completing the square
Using the quadratic formula
Geometric interpretation
Solving simultaneous linear equations
Solution by elimination
Pairs of equations with no solution
Pairs of equations with an infinite quantity of solutions
Geometric interpretation