Year 9 Mathematics SyllabusYear 9 Numbers- Understanding and working with positive and negative numbers
- Ordering and comparing numbers
- Prime numbers, factors, and multiples
- Prime factorization
- Divisibility rules
Year 9 Integers- Adding and subtracting integers
- Multiplying and dividing integers
- Absolute value
- Integer operations with brackets
- Solving equations with integers
Year 9 Rational Numbers- Understanding rational numbers
- Converting between fractions, decimals, and percentages
- Operations with rational numbers
- Simplifying and comparing rational numbers
- Solving equations involving rational numbers
Year 9 Roots & Indices- Squares, square roots, cubes, and cube roots
- Laws of indices
- Simplifying expressions with indices
- Solving equations with indices
- Scientific notation and standard form
Year 9 Ratio & Proportion- Understanding ratios and rates
- Solving problems using ratios and rates
- Proportional reasoning
- Direct and inverse variation
- Solving problems involving proportions
Year 9 Percentages- Understanding percentages
- Converting between fractions, decimals, and percentages
- Percentage increase and decrease
- Finding the original amount
- Solving problems involving percentages
Year 9 Consumer Math- Understanding income, expenses, and budgets
- Calculating profit and loss
- Understanding sales tax and discounts
- Simple and compound interest
- Loan calculations
Year 9 Units of Measurement- Converting between metric and imperial units
- Length, area, volume, and capacity
- Mass and weight
- Time and temperature
- Converting between units of measurement
Year 9 Word Problems- Solving word problems using mathematical operations
- Translating words into mathematical expressions and equations
- Interpreting and solving real-life problems
- Problem-solving strategies
Year 9 Coordinate Plane- Understanding the coordinate system
- Plotting points on a coordinate plane
- Finding the distance between two points
- Understanding and graphing linear equations
- Solving problems using the coordinate plane
Year 9 Sequences- Identifying and extending number patterns
- Arithmetic and geometric sequences
- Finding the nth term of a sequence
- Solving problems involving sequences
- Fibonacci sequence and the Golden ratio
Year 9 Algebraic Expressions- Simplifying algebraic expressions
- Evaluating expressions
- Combining like terms
- Expanding and factorizing expressions
- Solving problems using algebraic expressions
Year 9 Single Variable Equations- Solving linear equations
- Solving equations with variables on both sides
- Solving equations with brackets
- Solving equations with fractions
- Solving word problems involving equations
Year 9 Single Variable Inequalities- Solving linear inequalities
- Graphing inequalities on a number line
- Solving compound inequalities
- Solving word problems involving inequalities
- Applications of inequalities in real-life situations
Year 9 Functions- Understanding functions and relations
- Domain and range of a function
- Function notation
- Graphing linear functions
- Solving problems involving functions
Year 9 Linear Functions & Graphs- Graphing linear equations and inequalities
- Finding the slope of a line
- Writing linear equations in slope-intercept form
- Interpreting graphs of linear functions
- Solving problems involving linear functions
Year 9 Polynomials- Understanding polynomials and their properties
- Adding, subtracting, multiplying, and dividing polynomials
- Factoring polynomials
- Solving polynomial equations
- Applications of polynomials in real-life situations
Year 9 Quadratic Functions- Understanding quadratic functions and their properties
- Graphing quadratic functions
- Solving quadratic equations
- Factoring quadratic expressions
- Applications of quadratic functions in real-life situations
Year 9 Two Dimensional Shapes- Classifying two-dimensional shapes
- Properties of triangles, quadrilaterals, and polygons
- Perimeter and area of two-dimensional shapes
- Congruent and similar shapes
- Applications of two-dimensional shapes in real-life situations
Year 9 Three Dimensional Shapes- Classifying three-dimensional shapes
- Properties of prisms, pyramids, cylinders, cones, and spheres
- Surface area and volume of three-dimensional shapes
- Net diagrams
- Applications of three-dimensional shapes in real-life situations
Year 9 Geometry & Measurements- Angle properties and relationships
- Parallel and perpendicular lines
- Similarity and congruence in triangles
- Circles and their properties
- Applications of geometry in real-life situations
Year 9 Symmetry & Transformations- Lines of symmetry
- Rotations, reflections, and translations
- Enlargements and reductions
- Tessellations and patterns
- Applications of symmetry and transformations in real-life situations
Year 9 Congruence & Similarity- Congruent and similar figures
- Proving congruence and similarity
- Similarity transformations
- Proportional reasoning with similar figures
- Applications of congruence and similarity in real-life situations
Year 9 Triangles & Trigonometry- Properties of triangles
- Pythagorean theorem
- Trigonometric ratios (sine, cosine, tangent)
- Solving problems involving triangles and trigonometry
- Applications of triangles and trigonometry in real-life situations
Year 9 Constructions- Constructing angles, perpendicular lines, and parallel lines
- Constructing triangles and quadrilaterals
- Construction using compass and straightedge
- Geometric constructions in real-life situations
- Accuracy and precision in constructions
Year 9 Graphs- Reading, interpreting, and creating graphs
- Line graphs, bar graphs, and pie charts
- Drawing conclusions from graphs
- Representing data in different ways
- Applications of graphs in real-life situations
Year 9 Statistics- Collecting and organizing data
- Measures of central tendency (mean, median, mode)
- Measures of dispersion (range, interquartile range)
- Probability and probability experiments
- Applications of statistics in real-life situations
Year 9 Probability- Understanding probability and its notation
- Calculating probability
- Probability of compound events
- Tree diagrams and Venn diagrams
- Applications of probability in real-life situations
This course is helpful for the following exams: Class 9, Year 9