Algebra vocabulary and understanding

Algebraic proof

Simplify an expression

Algebraic fractions

Change the subject

Identify coordinates in all 4 quadrants

Find and use y = a, x = a and y = x

Find y = mx + c from a graph

Rearranging into the form y = mx + c

Using and exploring y = mx + c

Find the equation of a parallel line

Find the equation of a perpendicular line

Find a instanteous rate of change

Equation of a tangent to a circle

Graphical solutions of equations

Quadratic and cubic functions

Equation of a circle

Area under a graph

Reciprocal functions

Exponential functions

Trigonometry graphs

Interpret and construct real-life graphs

Solve linear equations (unknown on 1 side, int ans)

Solve linear equations (unknown on 1 side, dec ans)

Solve linear equations (unknown both sides)

Solve linear equations with brackets

Solve rational equations

Expand over a single bracket

Expand 2 or more binomials

Factorise a simple expression

Factorise a quadratic expression

Solve a quadratic by factorising

Solving quadratics in disguise

Complete the square

Solve a quadratic by completing the square

Solve a quadratic by using the formula

Graph transformations

Use simple function machines

Identify domain and range

Use composite functions

Iterations

Inverse functions

Read/Represent inequalities on a number line

Solve linear inequalities

Graphical inequalities

Solve quadratic inequalities

Recognise common sequences

Understand linear sequences

Understand geometric sequences

Algebraic sequences

Understand quadratic sequences

Solve linear simultaneous equations

Solve non linear simultaneous equations

Substitute into expressions/formula

Form expressions and equations

Understand and evaluate logarithms

Data handling cycle

Calculate a stratified sample

Capture recapture

Two-way tables

Calculate the range from a list

Calculate averages from a list

Calculate quartiles from a list

Which average should you use?

Calculate the mode/mean from a frequency table

Calculate the median/IQR from a frequency table

Stem and leaf diagrams

Draw/Interpret a frequency polygon

Draw/Interpret cumulative frequency

Draw/Interpret a box plot

Draw/Interpret a bar chart

Draw/Interpret a composite bar chart

Draw/Interpret a histogram

Construct a pictogram

Construct a pie chart

Interpret a pie chart

Draw/Interpret a scatter graph

PMCC and regression line

Standard deviation

Normal distribution

Confidence intervals

Facebook maths

Place value

Roman numerals

Times tables

Commutative, associative and distributive laws

Related calculations

Factors and multiples

Prime factors

Order of operations

Interpret fractions

Equivalent fractions

Reciprocals of numbers

Add or subtract fractions

Write one number as a fraction of another

Fraction of an amount (part i)

Fraction of an amount (part ii)

Multiply or divide fractions

FDP conversion

Order numbers

Understand and correctly use symbols

Efficient use of a calculator

Operate with integers (+ and -)

Operate with integers (x and ÷)

Column multiplication

Short division

Product rule for counting

Operate with decimals (+ and -)

Operate with decimals (x and ÷)

Money problems

Money problems - payment plans

Pay slips

Percentage of an amount

Percentage change

Increase/decrease by a percentage

Reverse percentage

Simple interest

Calculate growth/decay

Student loans

Annual equivalent rate

Annual percentage rate

Estimation

Fermi

Truncation

Basic rules of rounding (inc dp and bounds)

Round to specific sf (inc bounds)

Upper and lower bound calculations

Squares, cubes and roots

Use the laws of indices

Equating bases

Integers with negative/fractional indices

Decimals/fractions with negative/fractional indices

Conversion of standard form

Operate in standard form

Simplify a surd

Operate with surds

Rationalise the denominator

Reading time and tables

Reading scales

Measuring/Drawing angles

Convert between degrees and radians

Constructions/loci

Plans and elevations

90°, 180°, and 360° angles

Angles in triangles

Angles in quadrilaterals

Angles on parallel lines

Angles in polygons

Bearings

Rotations

Reflections

Translations

Enlargements

Area/Volume scale factors

Congruence

Similar shapes

Names and properties of polygons

Area of 2D shapes

Reverse area of 2D shapes

Algebraic area of 2D shapes

Area of composite shapes

Perimeter of 2D shapes

Parts of a circle

Circumference of a circle

Area of a circle

Circle theorems

Apply Pythagoras' Theorem

Apply SOH CAH TOA

Sine and cosine rules

Area of a triangle (trigonometry)

Trigonometry exact values

Surface area of 3D shapes

Volume of 3D shapes

Volume of complex 3D shapes

Leave your answer in exact form

Vectors

Probability scale

List outcomes

Calculate simple probabilities

Frequency trees

Mutually exclusive events

Calculate relative/expected frequency

Probabilities of independent events

Probabilities of dependent events

Complete and interpret a venn diagram

Calculate conditional probabilities

Conversion of metric units

Conversion of metric and imperial

Map scales

Compound measures

Simplify a ratio

Interpret ratio as a fraction

Divide a quantity into a given ratio

Multiplicative operations with ratios

Best buys

Currency conversion

Direct proportion

Inverse proportion