Cambridge High School:
Mathematics
This course develops problem-solving skills, logical reasoning, and mathematical techniques essential for academic and real-world applications. Students will explore topics such as algebra, geometry, statistics, and trigonometry, equipping them with a strong foundation for further studies in mathematics and related fields.
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- Numbers, Fractions, and Percentages
- The Four Rules
- Directed Numbers
- Powers and Roots
- Ordering and Set Notation
- Ratio, Proportion, and Rate
- Estimation and Limits of Accuracy
- Standard Form
- Applying Number and Using Calculators
- Algebraic Representation and Formulae
- Algebraic Manipulation
- Solutions of Equations and Inequalities
- Graphs in Practical Situations
- Straight-Line Graphs
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Graphs of Functions
- Number Sequences
- Indices
- Direct and Inverse Proportion
- Linear Programming
- Functions
- Differentiation
- Angle Properties
- Angle facts
- Parallel lines
- Angles in a triangle and a quadrilateral
- Regular and irregular polygons
- Tangents and diameters
- Angles in a circle
- Cyclic quadrilaterals
- Alternate segment theorem
- Geometrical Terms and Relationships
- Measuring and drawing angles
- Bearings and Nets
- Congruent shapes and triangles
- Similar shapes
- Areas of similar triangles
- Areas and volumes of similar shapes
- Geometrical Constructions
- Constructing shapes
- Scale drawings
- Mensuration (Perimeter, Area, Volume)
- Perimeter and area of a rectangle
- Area of a triangle, a parallelogram,, and a trapezium
- Circumference and area of a circle
- Surface area and volume of a cuboid
- Volume and surface area of a prism and a cylinder
- Sectors and arcs
- Volume of a pyramid
- Volume and surface area of a cone and a sphere
- Symmetry
- Lines of symmetry
- Rotational symmetry
- Symmetry of special two-dimensional shapes
- Symmetry of three-dimensional shapes
- Symmetry in circles
- Vectors
- Introduction to vectors
- Using vectors
- The magnitude of a vector
- Transformations
- Translations
- Reflections
- Rotations
- Enlargements
- Combined Transformations
- Pyhtagoras's theorem
- Trigonometric ratios
- Calculationg Angles
- Sine, Cosine, and Tangent Functions
- Application of Trigonometric Ratios
- The Sine and Cosine Rules
- Problems in Three Dimensions
- Sine and Cosuine of Obtuse Angles
- Using Sine to Find the Area of a Triangle
- Sine, Cosine, and Tangent of Any Angle
- Statistical Representation
- Frequency tables
- Pictograms
- Bar charts
- Pie charts
- Scatter diagrams
- Histograms
- Histograms with bars of unequal width
- Statistical Measures
- The mode, median, mean, and range
- Which average to use in findi
- Stem-and-leaf diagrams
- Using frequency tables
- Grouped data
- Cumulative frequency diagrams
- Box-and-whisker plots
- Probability
- The probability scale
- Calculating probabilities
- Probability that an event will not happen
- Probability in practice
- Using Venn diagrams
- Possibility diagrams
- Tree diagrams
- Conditional probability
References:
Chris Pearce (2023).
Collins Cambridge IGCSE™ Maths Student’ s Book, 4th Edition. Collins Cambridge IGCSE™