COLLECTING LIKE TERMS (SIMPLIFYING EXPRESSIONS)
Using rules for like terms for addition, subtraction, multiplication and divsion.
THE RULES OF INDICES
Multiplying, dividing, raising to a power, the zero power, fractional and negative powers! Solving equations with powers
EXPANDING BRACKETS (MULTIPLYING OUT BRACKETS)
Single brackets. Double brackets are in the quadratic setcion!
FACTORING (FACTORISING ALGEBRAIC EXPRESSIONS)
ALGEBRAIC FRACTIONS
Simplifying, multiplying,dividing, adding, subtracting and solving equations
FORMULAE (SUBSTITUTION)
Swapping numbers for letters! Substituting values into expressions and formulae.
IDENTITIES
Equating coefficients to find missing values in identities!
REARRANGING EQUATIONS (CHANGING THE SUBJECT OF A FORMULA)
Making a letter the subject of an equation
SOLVING EQUATIONS (SOLVING LINEAR EQUATIONS WITH ONE UNKOWN)
Solving for x! Unknowns on one side and both sides. Fractions and negatives.
SETTING UP AND SOLVING LINEAR EQUATIONS
Forming and solving equations from word based problems
QUADRATIC EQUATIONS AND EXPRESSIONS
Factiorising, square rooting, using the formula, completing the square!
SIMULTANEOUS EQUATIONS (LINEAR)
2 unknowns, 2 equations
SIMULTANEOUS EQUATIONS (LINEAR AND NON-LINEAR)
One linear equation and one non-linear. This could be a quadratic function, a circle or different non-linear function
SOLVING EQUATIONS GRAPHICALLY
Equations and simultaneous equations solved with graphs rather than using algebra
SHADING INEQUALITIES (TWO VARIABLES)
Solving for a number of variables using graphs and shading.
NUMBER PATTERNS
NTH TERM OF A LINEAR (ARITHMETIC) SEQUENCE
Finding the nth term, finding terms and problems in context.
QUADRATIC, GEOMETRIC, FIBONACCI AND GENERAL SEQUENCES
Finding the nth term of a quadratic sequence, spotting special number patterns and problem solving.
PLOTTING QUADRATIC (AND OTHER NON-LINEAR) GRAPHS
Drawing graphs from a table of values. See completing the square for sketching quadratic graphs
POLYNOMIAL AND EXPONENTIAL GRAPHS AND FUNCTIONS
GRAPHS OF TRIGONOMETRIC FUNCTIONS
LINE SEGMENTS (LENGTH AND MIDPOINT)
Finding the midpoint of two points and the length of a line segment using Pythagoras Theorem
STRAIGHT LINE GRAPHS (LINEAR FUNCTIONS) Y= MX + C
Plotting from a table of values
PARALLEL AND PERPENDICULAR LINES (ALGEBRAICALLY)
Parallel and Perpendicular Lines. Includes perpendicular bisector and different forms of the equation of a line.
GRAPH TRANSFOMATIONS
Translations and reflections. Stretches may well not appear on your exam spec!
