GCSE Maths

Unit 1: Number
1. Number problems & reasoning
2. Surds
3. Place value & estimating
4. HCF & LCM
5. Zero, negative & fractional indices
6. Calculating with powers (indices)
7. Powers of 10 & standard form
Unit 2: Algebra
1. Algebraic indices
2. Equations
3. Expanding & factorising
  1. More expanding & factorising
4. Formulae
5. Linear sequences
6. Non-linear sequences
Interpreting & representing data
1. Time series
2. Statistical diagrams 1
  1. Statistical diagrams 2
3. Scatter graphs
4. Averages & range
5. Line of best fit
Unit 4: Fractions, ratio & percentages
1. Fractions
2. Ratios
3. Ratio & proportion
4. Percentages
5. Fractions, decimals & percentages
Unit 5: Angles & trigonometry
1. Angle properties of triangles & quadrilaterals
2. Pythagoras' theoreom 1
  1. Pythagoras' theoreom 2
3. Trigonometry 1
  1. Trigonometry 2
4. Interior angles of a polygon
5. Exterior angles of a polygon
Unit 6: Graphs
1. Linear graphs
  1. More linear graphs
2. Graphing rates of change
3. Real-life graphs
4. Line segments
5. More graphs
6. Cubic & reciprocal graphs
Unit 7: Area & volume
1. Prisms
2. Circles
  1. Sectors of circles
3. Units & accuracy
4. Cylinders & spheres
5. Pyramids & cones
Unit 19: Proportion & graphs
1. Direct proportion
  1. More direct proportion
2. Inverse proportion
3. Exponential functions
4. Non-linear graphs
5. Translating graphs of functions
6. Reflecting and stretching graphs of functions
Unit 18: Vectors & geometric proof
1. Vectors and vector notation
2. Vector arithemtic
  1. More vector arithemtic
3. Parallel vectors & collineal points
4. Solving geometric problems
Unit 17: More algebra
1. Algebraic fractions
  1. More algebraic fractions
2. Simplifying algebraic fractions
3. Surds
4. Functions
5. Proof
6. Solving algebraic fraction equation
Unit 16: Circle theoreoms
1. Angles in circles 1
  1. Angles in circles 2
2. Tangents
3. Radii & chords
4. Applying circle theoreoms
Unit 15: Equations & graphs
1. Graphs of cubic functions
2. Solving quadratic equations graphically
3. Graphs of quadratic functions
4. Representing inequalities graphically
5. Solving simultaneous equations graphically
Unit 14: Further statistics
1. Comparing & describing populations
2. Box plots
3. Sampling
4. Cumulative frequency
5. Drwaing histograms
6. Interpreting histograms
Unit 13: More trigonometry
1. Solving problems in 3D
2. The cosine rule & 2D trigonometric problems
3. Calculating areas and the sine rule
4. Transforimg trigonometric graphs 1
  1. Transforming trigonometric graphs 2
5. Accuracy
6. Graphs of the sine function
7. Graphs of the cosine function
8. The tangent function
Unit 11: Multiplicative reasoning
1. Growth & decay
2. Ratio & proportion
3. Compound measures
  1. More compound measures
Unit 9: Equations & inequalities
1. Solving quadratic equations 1
  1. Solving quadratic equations 2
2. Completing the square
3. Solving linear inequalities
4. Solving simple simultaneous equations
  1. More simultaneous equations
5. Solving linear & quadratic simultaneous equations
Unit 8: Transformations & constructions
1. Enlargement
2. Relection & rotation
3. 3D solids
4. Loci
5. Transformations & combinations of transformations
6. Bearings & scale drawings
7. Constructions 1
  1. Constructions 2
Unit 10: Probability
1. Independent events and tree diagrams
2. Combined events
3. Mutually exclusive events
4. Experimental probability
5. Conditional probability
6. Venn diagrams and set notation
Unit 12: Similarity and congruence
1. Similarity
  1. More similarity
2. Geomtric proof & congruence
3. Similarity in 3D solids
4. Congruence

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