GCSE & IGCSE Curriculum
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IGCSE CIE Math Revision
1. Number
- Types of numbers
- Irrational Numbers
- Negative numbers
- Mathematical symbols
- Order of operations (BIDMAS/BODMAS)
- Addition & Subtraction
- Multiplication & DivisionÂ
- Operations with Decimals
- Set Notation & Venn Diagrams
- 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 InterestÂ
- Compound Interest
- Depreciation
- Exponential Growth & Decay
- Simplifying Surds
- Rationalizing Denominators
- Converting Fractions, Decimals & Percentages
- Recurring Decimals
- Ordering Fractions, Decimals & Percentages
- Ratios
- Problem solving with ratios
- Working with proportion
- Compound Measure
- Speed, Density & Pressure
- TimeÂ
- Money calculations
- Exchange rates
- Rounding & Estimation
- Upper & Lower Bounds
- Using a Calculator
2. Algebra & Sequences
- 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
- Solving linear equations
- Solving Linear Inequalities
- Solving quadratic equations by factorizing
- The quadratic formula
- Completing the square
- Deciding the quadratic method
- Formulas where subjects appear once
- Formulas where Subjects Appears twice
- Linear Simultaneous equations
- Quadratic simultaneous equations
- Simplifying algebraic Fractions
- Adding & Subtracting Algebraic Fractions
- Multiplying & Dividing Algebraic fractions
- Solving Equations with Algebraic Fractions
- Forming Equations from words
- Forming equations from shapes
- Problem solving with equations
- Introduction to functions
- Composite functions
- Inverse functions
- Introduction to Sequences
- Other Sequences
- Nth Term of linear sequences
- Quadratic sequences
- Direct proportionÂ
- Inverse proportionÂ
3. Coordinate Geometry & Graphs
- Coordinates
- Midpoint of a lineÂ
- Gradient of a line
- Length of a line
- Equations of Straight Lines
- Drawing Straight line graphs
- Parallel Lines
- Perpendicular Lines
- Quadratic Graphs
- Types of graphs
- Drawing Graphs from tables
- Solving equations from graphs
- Finding gradients from tangents
- Representing inequalities as regions
- Finding inequalities from regions
- Conversion graphs
- Distance-tie graphs
- Speed- time graphs
- Rates-of -change graphs
- Differentiation
- Finding stationary points & Turning points
- Classifying stationary points
- Problems solving with differentiation
4. Geometry
- Rotational symmetry
- Lines of Symmetry
- 2D Shapes
- 3D shapes
- Planes of Symmetry
- Converting between Units
- Squared & Cubic Units
- Basic angle properties
- Angles in polygons
- Angles in parallel lines
- Bearings
- ScaleÂ
- Constructing Triangles
- 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
5. Lengths, Areas & Volumes
- 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
- Similarity
- Similar lengths
- Similar areas & volumes
- Representing inequalities as regions
- Finding inequalities from regions
- Conversion graphs
- Distance-tie graphs
- Speed- time graphs
- Rates-of -change graphs
- Differentiation
- Finding stationary points & Turning points
- Classifying stationary points
- Problems solving with differentiation
6. Pythagoras & Trigonometry
- Pythagoras theorem
- SOHCAHTOA
- Angles of elevation & DepressionÂ
- Exact Trig Values
- The sine rule
- The cosine rule
- Area of a triangle
- Deciding the trig rule
- 3D Pythagoras & Trigonometry
- Trigonometry graphs
- Solving trig Equations
7. Vectors & Transformations
- Introduction to column vectors
- Representing vectors as diagrams
- Magnitude of a vector
- Position & Displacement vectors
- Finding vector paths
- Problem solving with vectors
- Translations
- Reflections
- Rotations
- Enlargements
8. Probability
- Basic probabilityÂ
- Possibility (Sample space) DiagramsÂ
- Relative & Expected frequency
- Two- way tables
- Probabilities from Venn Diagrams
- Probability tree diagrams
- Combined probabilities
- Conditional probabilityÂ
- Combined conditional probability
6. Statistics
- Discrete & Continuous data
- Mean, median & mode
- Calculations with the mean
- Average from tables
- Average from grouped data
- Range & interquartile range
- Comparing data sets
- Stem & leaf diagrams
- Bar charts & pictograms
- Pie chartsÂ
- 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
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 chartsÂ
- 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