Year 9 Mathematics SyllabusYear 9 Numbers- Understanding place value and ordering numbers
- Rounding numbers to a given decimal place
- Performing operations with whole numbers, decimals, and fractions
- Estimating and calculating with significant figures
Year 9 Operations- Applying the four operations (addition, subtraction, multiplication, and division) to solve problems
- Using the order of operations to simplify expressions
- Solving multi-step problems involving operations
Year 9 Ratio & Proportion- Understanding the concept of ratio and using it to compare quantities
- Solving problems involving direct and indirect proportion
- Applying ratio and proportion to real-life situations
Year 9 Percentages- Understanding percentages as fractions and decimals
- Calculating percentages and solving percentage problems
- Applying percentages to real-life situations, such as discounts and interest rates
Year 9 Measurement- Converting units of measurement within the metric system
- Calculating perimeter, area, and volume of various shapes
- Solving problems involving time, speed, and distance
Year 9 Geometric Measurement- Identifying and classifying different types of angles
- Measuring and constructing angles using a protractor
- Solving problems involving angles, triangles, and quadrilaterals
Year 9 Congruence & Similarity- Identifying congruent and similar shapes
- Using congruence and similarity to solve problems involving triangles and quadrilaterals
- Understanding scale factors and their relationship to similarity
Year 9 Pythagoras Theorem- Understanding the Pythagorean theorem and its application in finding the length of sides in right-angled triangles
- Using the Pythagorean theorem to solve real-life problems
Year 9 Trigonometry- Understanding the basic trigonometric ratios (sine, cosine, and tangent)
- Applying trigonometry to find missing angles and sides in right-angled triangles
- Solving real-life problems using trigonometry
Year 9 Coordinate Plane- Understanding the Cartesian coordinate system
- Plotting and identifying points on a coordinate plane
- Graphing linear equations and inequalities
Year 9 Properties- Understanding and applying properties of numbers, such as commutative, associative, and distributive properties
- Applying properties of shapes, such as symmetry and congruence
Year 9 Expressions- Simplifying algebraic expressions using the laws of exponents and order of operations
- Evaluating expressions and solving problems involving algebraic expressions
Year 9 Equations- Solving linear equations with one variable
- Understanding the concept of a solution and checking solutions
- Solving real-life problems using equations
Year 9 Graphs- Understanding and interpreting different types of graphs, such as line graphs, bar graphs, and pie charts
- Plotting and interpreting data on a graph
- Drawing conclusions and making predictions based on graphs
Year 9 Relations & Functions- Understanding the concept of a relation and a function
- Identifying and analyzing patterns and relationships
- Representing relations and functions using tables, graphs, and equations
Year 9 Linear Equations- Solving systems of linear equations using various methods, such as substitution and elimination
- Graphing linear equations and inequalities
- Solving real-life problems involving linear equations
Year 9 Exponents- Understanding and applying the laws of exponents
- Simplifying and evaluating expressions with exponents
- Solving problems involving exponential growth and decay
Year 9 Scientific Notation- Understanding and using scientific notation to represent very large or very small numbers
- Performing operations with numbers in scientific notation
- Solving problems involving scientific notation
Year 9 Polynomials- Understanding the concept of a polynomial and its terms
- Adding, subtracting, multiplying, and dividing polynomials
- Factoring polynomials and solving polynomial equations
Year 9 Quadratic Equations- Solving quadratic equations using various methods, such as factoring, completing the square, and using the quadratic formula
- Graphing quadratic equations and interpreting their properties
- Solving real-life problems involving quadratic equations
Year 9 Circles in a Coordinate Plane- Understanding the equation of a circle and its properties
- Graphing circles on a coordinate plane
- Solving problems involving circles and their properties
Year 9 Word Problems- Applying mathematical concepts and skills to solve word problems
- Translating real-life situations into mathematical expressions and equations
- Solving word problems using appropriate strategies and methods
Year 9 Probability- Understanding the concept of probability and its applications
- Calculating probabilities of simple and compound events
- Solving problems involving probability and statistics
Year 9 Statistics- Collecting, organizing, and analyzing data
- Calculating measures of central tendency and dispersion
- Interpreting and drawing conclusions from statistical data
By following this comprehensive Year 9 Mathematics syllabus, students will develop a strong foundation in essential mathematical concepts and skills, enabling them to confidently tackle more advanced mathematical topics in the future.
This course is helpful for the following exams: Year 9