Year 10 Mathematics Syllabus1. Numbers- Factors and multiples
- Prime factorization
- Rational and irrational numbers
- Operations with rational numbers
- Scientific notation
2. Consumer Math- Percentages
- Simple and compound interest
- Discount and markup
- Sales tax and total cost
- Budgeting and financial planning
3. Coordinate Plane- Cartesian coordinate system
- Graphing linear equations
- Slope-intercept form
- Distance formula
- Midpoint formula
4. Equations- Solving linear equations
- Solving equations with variables on both sides
- Literal equations
- Systems of equations
- Word problems involving equations
5. Inequalities- Solving linear inequalities
- Compound inequalities
- Absolute value inequalities
- Systems of inequalities
- Word problems involving inequalities
6. Relations & Functions- Understanding relations and functions
- Domain and range
- Function notation
- Evaluating and graphing functions
- Inverse functions
7. Simultaneous Equations- Solving systems of linear equations
- Graphing method
- Substitution method
- Elimination method
- Word problems involving simultaneous equations
8. Linear Programming- Understanding linear programming
- Graphical method
- Feasible region
- Objective function and constraints
- Optimization problems
9. Matrices- Matrix operations
- Matrix multiplication
- Determinants
- Inverse of a matrix
- Solving systems of linear equations using matrices
10. Exponents- Laws of exponents
- Scientific notation with exponents
- Exponential growth and decay
- Solving exponential equations
- Word problems involving exponents
11. Logarithms- Introduction to logarithms
- Logarithmic properties
- Solving logarithmic equations
- Exponential and logarithmic models
- Word problems involving logarithms
12. Exponential & Logarithmic Functions- Graphing exponential functions
- Transformations of exponential functions
- Graphing logarithmic functions
- Transformations of logarithmic functions
- Applications of exponential and logarithmic functions
13. Polynomials- Simplifying polynomials
- Adding, subtracting, and multiplying polynomials
- Factoring polynomials
- Dividing polynomials
- Solving polynomial equations
14. Factorisation- Prime factorisation
- Factoring by grouping
- Difference of squares
- Perfect square trinomials
- Sum and difference of cubes
15. Quadratic Equations- Solving quadratic equations by factoring
- Solving quadratic equations by using the quadratic formula
- Completing the square method
- Graphing quadratic functions
- Word problems involving quadratic equations
16. Parabolas- Graphing parabolas
- Vertex form of a quadratic equation
- Axis of symmetry
- Maximum and minimum values
- Applications of parabolas
17. Hyperbolas- Graphing hyperbolas
- Standard form of a hyperbola
- Center, vertices, foci, and asymptotes
- Translations and rotations of hyperbolas
- Applications of hyperbolas
18. Radical Expressions- Simplifying radical expressions
- Operations with radical expressions
- Rationalizing denominators
- Solving radical equations
- Applications of radical expressions
19. Two Dimensional Shapes- Properties of polygons
- Classifying triangles
- Angles in polygons
- Perimeter and area of polygons
- Similarity and congruence of triangles
20. Surface Area & Volume- Surface area of prisms, cylinders, pyramids, and cones
- Volume of prisms, cylinders, pyramids, and cones
- Surface area and volume of spheres
- Composite figures
- Applications of surface area and volume
21. Congruent Triangles- Congruence of triangles
- Congruence criteria (SSS, SAS, ASA, AAS, HL)
- Isosceles and equilateral triangles
- Proving triangles congruent
- Applications of congruent triangles
22. Similarity- Similarity of triangles
- Similarity criteria (AA, SAS, SSS)
- Scale factor and corresponding sides
- Similarity transformations
- Applications of similarity
23. Right Angle Triangles- Pythagorean theorem
- Special right triangles (30-60-90, 45-45-90)
- Trigonometric ratios (sine, cosine, tangent)
- Solving right triangles
- Applications of right angle triangles
24. Angle Measures- Angle relationships (vertical angles, alternate interior angles, etc.)
- Parallel lines and transversals
- Interior and exterior angles of polygons
- Triangle angle sum theorem
- Angle bisectors and perpendicular bisectors
25. Trigonometry- Unit circle and trigonometric values
- Trigonometric identities (Pythagorean, reciprocal, quotient)
- Solving trigonometric equations
- Law of sines and law of cosines
- Applications of trigonometry
26. Circles- Parts of a circle
- Arc length and sector area
- Tangents and secants
- Equations of circles
- Applications of circles
27. Graphs- Graphing linear equations and inequalities
- Graphing quadratic equations
- Graphing exponential and logarithmic functions
- Graphing trigonometric functions
- Interpreting graphs and their transformations
28. Word Problems- Translating word problems into mathematical expressions
- Solving word problems using equations and inequalities
- Applying mathematical concepts to real-life situations
- Analyzing and interpreting word problems
- Communicating mathematical solutions effectively
29. Statistics- Data collection and representation
- Measures of central tendency (mean, median, mode)
- Measures of dispersion (range, variance, standard deviation)
- Graphical representation of data (bar graphs, pie charts, histograms)
- Probability and statistical inference
30. Probability- Theoretical probability
- Experimental probability
- Counting principles (permutations and combinations)
- Probability of independent and dependent events
- Applications of probability
This course is helpful for the following exams: Year 10