GCSE & IGCSE Curriculum
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GCSE Edexcel Math Revision
1. Number
- Mathematical symbols
- Order of operations (BIDMAS/BODMAS)
- Irrational Numbers
- Negative numbers
- Money calculations
- Addition & Subtraction
- Multiplication & DivisionĀ
- Related calculations
- Systematic lists
- Product rule of counting
- Types of numbers
- Prime Factor Decomposition
- Uses of prime factor decomposition
- HCF & LCM
- Powers & roots
- Laws of Indices
- Converting to & from standard form
- Operations with Standard from
- Basic Fractions
- Mixed Numbers & Improper fractions
- Adding and Subtracting fractions
- Multiplying & Dividing Fractions
- Basic Percentages
- Percentages Increase & Decrease
- Reverse Percentages
- Simple InterestĀ
- Compound Interest
- Depreciation
- Exponential Growth & Decay
- Converting Fractions, Decimals & Percentages
- Recurring Decimals
- Ordering Fractions, Decimals & Percentages
- Rounding & Estimation
- Upper & Lower Bounds
- Simplifying Surds
- Rationalizing Denominators
- Using a Calculator
2. Algebra
- Algebra notation
- Algebra Vocabulary
- Substitution
- Collecting like terms
- Algebraic roots & Indices
- Expanding & simplifying single brackets
- Expanding double brackets
- Expanding triple brackets
- Factorizing out terms
- Factorizing by grouping
- Factorizing simple quadratics
- Factorizing Harder quadratics
- Difference of two squares
- Deciding the factorization method
- Completing the square
- Simplifying algebraic Fractions
- Adding & Subtracting Algebraic Fractions
- Multiplying & Dividing Algebraic fractions
- Solving Equations with Algebraic Fractions
- Formulas where subjects appear once
- Formulas where Subjects appear twice
- Algebraic proof
- Solving linear equations
- Solving quadratic equations by factorizing
- The quadratic formula
- Completing the square
- Deciding the quadratic method
- Linear simultaneous equations
- Quadratic simultaneous equations
- Iteration
- Forming Equations from words
- Forming equations from shapes
- Problem solving with equations
- Introduction to functions
- Composite functions
- Inverse functions
- Coordinates
- Midpoint of a lineĀ
- Gradient of a line
- Length of a line
- Equations of Straight Lines
- Drawing Straight line graphs
- Parallel Lines
- Perpendicular Lines
- Types of graphs
- Quadratic Graphs
- Drawing Graphs from tables
- Solving equations from graphs
- Trigonometric graphs
- Solving trig equations
- Equations of a circle
- Equation of a tangent
- Finding gradient of a tangent
- Finding areas under graphs
- Distance-time graphs
- Speed- time graphs
- Conversion graphs
- Rates-of -change graphs
- Solving linear inequalities
- Solving quadratic inequalities
- Representing inequalities as regions
- Finding inequalities from regions
- Translations of graph
- Reflections of graphs
- Introduction to Sequences
- Other Sequences
- Nth Term of linear sequences
- Quadratic sequences
3. Ratios, Proportions & Rates of Change
- Introduction to ratios
- Sharing in a ratio
- Working with proportion
- Ratios with fractions, decimals & Percentages
- Multiple ratios
- Direct proportion
- Inverse proportion
- Time
- Converting between Units
- Squared & Cubic units
- Compound measure
- Speed, Density & Pressure
- Exchange rates
- Best buys
4. Geometry
- Rotational symmetry
- Lines of Symmetry
- Planes of Symmetry
- 2D Shapes
- 3D shapes
- Plans & Elevations
- Basic angle properties
- Angles in polygons
- Angles in parallel lines
- Bearings
- ScaleĀ
- Constructing Triangles
- Constructions
- Loci
- Angles at Centre & Circumference
- Angles in a semicircle
- Theorems with chords & tangents
- Angles in Cyclic Quadrilaterals
- Angles in the same segment
- The Alternate segment theorem
- Circle theorem proofs
- Perimeter
- Area
- Adding & Subtracting Areas
- Problem solving with areas
- Area & Circumference of circles
- Arc Lengths & Sector Areas
- Volume
- Problem Solving with Volumes
- Surface Area
- Congruence
- Congruent triangles
- Similarity
- Similar lengths
- Geometrical proof
- Area and Volume of Similar shapes
- Pythagoras theorem
- SOHCAHTOA
- Angles of elevation & DepressionĀ
- Exact Trig Values
- The sine rule
- The cosine rule
- Area of a triangle
- Deciding the trigonometric rule
- 3D Pythagoras & Trigonometry
- Introduction to column vectors
- Representing vectors as diagrams
- Length of a vector
- Position & Displacement vectors
- Finding vector paths
- Problem solving with vectors
- Translations
- Reflections
- Rotations
- Enlargements
- Combination of Transformations
5. Probability
- Basic probabilityĀ
- Sample spaceĀ
- Relative & Expected frequency
- Two- way tables
- Frequency trees
- Set Notation & Venn Diagrams
- Probability tree diagrams
- Combined probability
- Conditional probabilityĀ
- Combined conditional probability
6. Statistics
- Mean, median & mode
- Calculations with the mean
- Average from tables
- Average from grouped data
- Range & interquartile range
- Comparing data sets
- Population & Sampling
- Capture-Recapture
- Stem & leaf diagrams
- Bar charts & pictograms
- Pie chartsĀ
- Frequency polygons
- Time series graphs
- Reading & interpreting statistical diagrams
- Comparing statistical diagrams
- Frequency density
- Drawing histograms
- Interpreting histograms
- Cumulative frequency
- Drawing cumulative frequency diagrams
- Interpreting cumulative frequency diagrams
- Box plots
- Scatter graphs & correlation
- Lines of best fit