GCSE Mathematics
You can find the details of the GCSE Mathematics (Edexcel) curriculum at TLC LIVE Online School below.
Foundation
- Integers and place value
- Decimals
- Indices, powers and roots
- Factors, multiples and primes
- Algebra: the basics
- Expressions and substitution into formulae
- Tables, charts and graphs
- Pie charts
- Scatter graphs
- Fractions, decimals and percentages
- Percentages
- Equations and inequalities
- Sequences
- Properties of shapes, parallel lines and angle facts
- Interior and exterior angles of polygons
- Statistics, sampling and the averages
- Perimeter, area and volume
- Real-life graphs
- Straight-line graphs
- Transformations
- Ratio
- Proportion
- Right-angled triangles: Pythagoras and trigonometry
- Probability
- Multiplicative reasoning
- Plans and elevations
- Constructions, loci and bearings
- Quadratic equations: expanding and factorising
- Quadratic equations: graphs
- Circles, cylinders, cones and spheres
- Fractions and reciprocals
- Indices and standard form
- Similarity and congruence in 2D
- Vectors
- Rearranging equations, graphs of cubic and reciprocal functions and simultaneous equations
Higher
- Calculations, checking and rounding
- Indices, roots, reciprocals and hierarchy of operations
- Factors, multiples, primes, standard form and surds
- Algebra: the basics, setting up, rearranging and solving equations
- Sequences
- Averages and range
- Representing and interpreting data and scatter graphs
- Fractions and percentages
- Ratio and proportion
- Polygons, angles and parallel lines
- Pythagoras’ Theorem and trigonometry
- Graphs: the basics and real-life graphs
- Linear graphs and coordinate geometry
- Quadratic, cubic and other graphs
- Perimeter, area and circles
- 3D forms and volume, cylinders, cones and spheres
- Accuracy and bounds
- Transformations
- Constructions, loci and bearings
- Solving quadratic and simultaneous equations
- Inequalities
- Probability
- Multiplicative reasoning
- Similarity and congruence in 2D and 3D
- Graphs of trigonometric functions
- Further trigonometry
- Collecting data
- Cumulative frequency, box plots and histograms
- Quadratics, expanding more than two brackets, sketching graphs, graphs of circles, cubes and quadratics.
- Circle theorems
- Circle geometry
- Changing the subject of formulae (more complex), algebraic fractions, solving equations arising from algebraic fractions, rationalising surds, proof
- Vectors and geometric proof
- Reciprocal and exponential graphs; Gradient and area under graphs
- Direct and inverse proportion
Spoken language and literacy skills
Pupils will continue to develop linguistically by the quality and variety of language that they hear and speak.
The quality and variety of language that pupils hear and speak are key factors in developing their mathematical vocabulary and presenting mathematical justification, argument or proof. Pupils will be exposed to mathematical language in context to support understanding and there will be an expectation for pupils to use appropriate mathematical terms and make links with everyday language when discussing their work or communicating their thinking.
Teachers will support pupils to make their thinking clear to themselves as well as others, using both spoken and written language. Pupils will develop secure foundations by participating in regular mathematical discussions where their understanding will be probed and tested, and misconceptions will be remedied.
Pupils will be taught to reason mathematically, make deductions and inferences, and draw conclusions. They will be expected to comprehend, interpret and communicate mathematical information in a variety of forms appropriate to the information and context, including but not limited to spoken, written and representational models.
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