Year 11 Mathematics for GCSENumbers- Place value
- Ordering and comparing numbers
- Rounding and estimating
- Prime numbers
- Factors and multiples
- Rules of divisibility
- Integers
Percentages- Understanding percentages
- Calculating percentages
- Percentage increase and decrease
- Percentage of a quantity
- Compound interest
Algebraic Expressions- Simplifying expressions
- Expanding brackets
- Factorising expressions
- Collecting like terms
- Substitution
Linear Equations- Solving linear equations
- Forming equations from word problems
- Solving equations with variables on both sides
- Rearranging formulas
Word Problems- Translating word problems into mathematical expressions
- Solving word problems involving numbers, percentages, and ratios
Relations & Functions- Understanding relations and functions
- Mapping diagrams
- Identifying input and output values
- Finding the domain and range of a function
Linear Functions- Graphing linear functions
- Finding the gradient and y-intercept
- Writing equations of lines
- Solving problems involving linear functions
Functions & Operations- Composite functions
- Inverse functions
- Arithmetic operations on functions
- Solving problems involving functions
Simultaneous Equations- Solving simultaneous equations graphically
- Solving simultaneous equations algebraically
- Solving problems involving simultaneous equations
Linear Inequalities- Graphing linear inequalities
- Solving linear inequalities
- Solving problems involving linear inequalities
Indices- Understanding indices and exponentials
- Simplifying expressions with indices
- Solving equations with indices
- Scientific notation
Sequence & Series- Identifying arithmetic and geometric sequences
- Finding the nth term of a sequence
- Finding the sum of a series
- Solving problems involving sequences and series
Standard Form- Writing numbers in standard form
- Converting between standard form and ordinary numbers
- Performing calculations with numbers in standard form
Exponential Functions- Graphing exponential functions
- Identifying exponential growth and decay
- Solving problems involving exponential functions
Polynomials- Identifying and classifying polynomials
- Adding, subtracting, and multiplying polynomials
- Factoring polynomials
- Solving problems involving polynomials
Factorisation- Factoring quadratic expressions
- Factoring trinomials
- Solving quadratic equations by factoring
- Solving problems involving factorisation
Quadratic Equations- Solving quadratic equations by factorisation
- Solving quadratic equations by completing the square
- Solving quadratic equations using the quadratic formula
- Solving problems involving quadratic equations
Coordinate Geometry- Plotting points on a Cartesian plane
- Finding the gradient and distance between two points
- Graphing linear equations
- Solving problems involving coordinate geometry
Symmetry & Transformations- Identifying types of symmetry
- Performing reflections, rotations, and translations on shapes
- Describing transformations using matrices
- Solving problems involving symmetry and transformations
Triangles- Classifying triangles by sides and angles
- Finding missing angles and side lengths in triangles
- Using trigonometry to solve problems involving triangles
Trigonometry- Understanding trigonometric ratios (sine, cosine, and tangent)
- Using trigonometry to find missing angles and side lengths
- Solving problems involving trigonometry
Quadrilaterals- Classifying quadrilaterals (parallelograms, rectangles, squares, rhombuses, trapezoids)
- Finding missing angles and side lengths in quadrilaterals
- Solving problems involving quadrilaterals
Circles- Understanding circle properties (radius, diameter, circumference, area)
- Finding missing angles and lengths in circles
- Solving problems involving circles
Three Dimensional Shapes- Identifying and naming three-dimensional shapes
- Finding surface area and volume of three-dimensional shapes
- Solving problems involving three-dimensional shapes
Surface Area & Volume- Finding surface area and volume of prisms, cylinders, pyramids, cones, and spheres
- Solving problems involving surface area and volume
Vectors- Understanding vector notation
- Adding, subtracting, and multiplying vectors
- Solving problems involving vectors
Measurement- Converting units of measurement
- Estimating and measuring lengths, areas, volumes, and angles
- Solving problems involving measurement
Graphs- Plotting and interpreting graphs
- Finding the gradient and intercepts of linear and quadratic graphs
- Solving problems involving graphs
Statistics- Collecting, organizing, and analyzing data
- Measures of central tendency (mean, median, mode)
- Measures of spread (range, interquartile range, standard deviation)
- Representing data using graphs and charts
Probability- Understanding probability notation and concepts
- Calculating probabilities of single and combined events
- Solving problems involving probability
This course is helpful for the following exams: Year 10, Year 11