Math Course
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GCSE Math Overview
- Foundation Tier: The Foundation Tier focuses on essential mathematical skills needed for everyday life. Topics include basic arithmetic, percentages, ratios, and introductory algebra. It does not include advanced concepts like quadratic equations or trigonometry.
- Higher Tier: The Higher Tier includes everything in the Foundation Tier plus more advanced topics like quadratic equations, surds, trigonometry, and complex geometry. This tier prepares students for further academic study in maths or related fields.
About this course
Gain a strong understanding of GCSE Maths topics like algebra, geometry, number operations, and statistics. Learn how to solve problems step by step with guidance that prepares you for real exam questions.
What you need
You’ll need a stable internet connection, a working headset, and a quiet space to focus. Most importantly, bring a willingness to learn and ask questions, and we’ll help with everything else!
Who is it for?
Suitable for students enrolled in either the Foundation or Higher Tier of GCSE Maths. Whether you’re focusing on core skills or tackling advanced topics, this course supports learners aiming for academic excellence.
Content Lesson
Topics We Will Cover in Math :
- Number types and classifications
- Squares, square roots, cubes, and cube roots
- Directed numbers
- Vulgar and decimal fractions
- Percentages
- Ordering numbers
- Standard form
- Four operations
- Estimation
- Limits of accuracy
- Ratio, proportion, and rate
- Time, money, and finance (personal and small business)
- Use of an electronic calculator
- Algebraic representation and formulae
- Algebraic manipulation
- Indices and laws of indices
- Solving equations and inequalities
- Representing inequalities on a number line and a graph
- Sequences and nth term
- Functions and function notation
- Graphs of functions
- Graphs in practical situations
- Verification using graphs
- Coordinate geometry
- Geometrical terms and relationships
- Angles and angle properties
- Geometrical constructions
- Loci
- Similarity and congruence
- Symmetry (line and rotational)
- Transformations (reflection, rotation, translation, enlargement)
- Measures and conversions
- Perimeter, area, and volume
- Surface area of solids
- Units of measurement
- Compound measures
- Dimensional analysis
- Trigonometric ratios (sine, cosine, tangent)
- Applying trigonometry to right-angled triangles
- Sine rule and cosine rule (if applicable)
- Solving real-world problems using trigonometry
- Vectors in two dimensions
- Vector operations
- Matrices (basic operations and applications in transformations)
- Basic probability concepts
- Experimental and theoretical probability
- Probability of combined events
- Venn diagrams and sample spaces
- Categorical, numerical, and grouped data
- Statistical diagrams (bar charts, histograms, pie charts, etc.)
- Measures of central tendency (mean, median, mode)
- Measures of spread (range, interquartile range, standard deviation)
- Representing and interpreting data
