- Starting with the basic four operations

Addition, plus, sum, total

Subtraction, minus, difference, take away

Multiplication, product, times

Division, quotient, share

- Equals signs

Equal to e.g.

Not equal to e.g.

Approximately equal to e.g.

Identical to e.g.

- Inequality signs

Greater than e.g.

Greater than or equal to

Less than or equal to

- Other helpful symbols

Brackets: used to group symbols e.g.

Powers (also called indices, order or exponents): repeated multiplication of the base number

Square root: opposite of squaring e.g.

Plus Minus: Used to allow for two distinct answers, often in quadratics

is shorthand for and

e.g. leading to and

Pi: the ratio of the circumference of a circle to its diameter

- If there are
**multiple operations**then they must be done in the following order: rackets: ( )__B__- Perform the calculation(s) inside any brackets first
ndices or__I__rder: Ë„,__O__^{2},^{3}, âˆš, etc- These include powers, roots and reciprocals
ivisions or__D__ultiplications: Ã— or Ã·__M__- If there are more than one of these then work them out left to right
dditions or__A__ubtractions: + or –__S__- If there are more than one of these then work them out left to right
- The acronyms
**BIDMAS**and**BODMAS**can help you remember

- means (2+5)Ã· (7-2)
- Instead of using brackets we extend the fraction line to show exactly what is on the top and what is on the bottom

- Means 4^(3+1)
- Instead of using brackets we write the whole to the right of the number and raised

- means âˆš(9+16)
- Instead of using brackets we extend the line on the root symbol to show exactly what is being rooted

Work out

First deal with anything inside BRACKETS

Then any POWERS

Followed by any MULTIPLICATIONS or DIVISIONS

Finally deal with any ADDITIONS or SUBTRACTIONS

- Algebraic Notation & Vocabulary
- Algebra Basics

- Algebraic Roots & Indices

- Expanding Single Brackets
- Expanding Multiple Brackets

- Factorising
- Factorising Quadratics
- Quadratics Factorising Methods

- Completing the Square

- Rearranging Formulae

- Algebraic Proof

- Solving Linear Equations

- Solving Quadratic Equations
- Quadratic Equation Methods

- Simultaneous Equations

- Iteration

- Forming Equations
- Equations & Problem Solving

- Functions Toolkit
- Composite & Inverse Functions

- Coordinates
- Coordinate Geometry

- Straight Line Graphs (y = mx + c)
- Parallel & Perpendicular Lines

- Types of Graphs
- Graphical Solutions
- Trig Graphs

- Equation of a Circle
- Equation of a Tangents

- Finding Gradients of Tangents
- Finding Areas under Graphs

- Distance-Time & Speed-Time Graphs
- Conversion Graphs
- Rates of Change of Graphs

- Solving Linear Inequalities
- Conversion Graphs
- Solving Quadratic Inequalities

- Graphing Inequalities

- Reflections of Graphs

- Introduction to Sequences
- Types of Sequences
- Linear Sequences
- Quadratic Sequences

- Simple Ratio
- Working with Proportion

- Multiple Ratios

- Direct & Inverse Proportion

- Time
- Unit Conversions
- Compound Measures

- Exchange Rates & Best Buys

- Symmetry
- 2D & 3D Shapes
- Plans & Elevations

- Basic Angle Properties
- Angles in Polygons
- Angles in Parallel Lines

- Bearings
- Scale & Maps
- Constructing Triangles
- Constructions & Loci

- Angles at Centre & Semicircles
- Chords & Tangents
- Cyclic Quadrilaterals
- Segment Theorems
- Circle Theorem Proofs

- Area & Perimeter
- Problem Solving with Areas

- Area & Circumference of Circles
- Arcs & Sectors

- Volume
- Surface Area

- Congruence
- Similarity
- Geometrical Proof

- Similar Area & Volumes

- Pythagoras Theorem
- Right-Angled Trigonometry
- Exact Trig Values

- Sine & Cosine Rules
- Area of a Triangle
- Applications of Trigonomet

- 3D Pythagoras & Trigonometry

- Introduction to Vectors
- Working with Vectors

- Translations
- Reflections
- Rotations
- Enlargements
- Combination of Transformations

- Basic Probability
- Relative & Expected Frequency

- Two Way Tables
- Frequency Trees
- Set Notation & Venn Diagrams

- Tree Diagrams

- Combined Probability
- Conditional Probability
- Combined Conditional Probabilities

- Mean, Median & Mode
- Averages from Tables
- Range & Quartiles
- Comparing Distributions
- Population & Sampling

- Bar Charts & Pictograms
- Pie Charts
- Time Series Graphs
- Working with Statistical Diagrams

- Histograms

- Cumulative Frequency Diagrams
- Box Plots

- Scatter Graphs

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