Grade 10 Mathematics SyllabusThis article outlines the detailed syllabus for Grade 10 Mathematics, covering various topics such as numbers, fractions and decimals, linear equations, percentages, profit and loss, and many more.
1. Grade 10 Numbers- Prime and composite numbers
- Factors and multiples
- Divisibility rules
- Prime factorization
2. Grade 10 Fractions and Decimals- Simplifying fractions
- Equivalent fractions
- Operations with fractions (addition, subtraction, multiplication, division)
- Converting between fractions and decimals
3. Grade 10 Linear Equations- Solving linear equations with one variable
- Word problems involving linear equations
- Graphing linear equations
- Systems of linear equations
4. Grade 10 Inequalities- Solving linear inequalities
- Graphing linear inequalities
- Word problems involving inequalities
5. Grade 10 Percentages- Finding percentages of quantities
- Percentage increase and decrease
- Applications of percentages in real-life situations
6. Grade 10 Profit & Loss- Calculating profit and loss
- Marked price, cost price, and selling price
- Percentage profit and loss
7. Grade 10 Interest- Simple interest
- Compound interest
- Applications of interest in financial situations
8. Grade 10 Surds and Indices- Simplifying surds
- Operations with surds
- Laws of indices
9. Grade 10 Quadratic Equations- Solving quadratic equations by factoring, completing the square, and using the quadratic formula
- Graphing quadratic equations
10. Grade 10 Sequences- Arithmetic sequences
- Geometric sequences
- Finding the nth term and sum of a sequence
11. Grade 10 Graphs- Plotting points on the coordinate plane
- Graphing linear and quadratic equations
- Reading and interpreting graphs
12. Grade 10 Ratio, Proportion and Rate of Change- Ratios and proportions
- Proportional reasoning
- Rates of change
13. Grade 10 Angles, Lines and Polygons- Classifying angles
- Properties of lines and angles
- Properties of polygons
14. Grade 10 Loci and Constructions - AQA- Constructing geometric figures using a compass and ruler
- Understanding loci in different geometric situations
15. Grade 10 Two Dimensional Shapes- Properties of triangles, quadrilaterals, and other polygons
- Congruence and similarity of shapes
- Area and perimeter of polygons
16. Grade 10 Three Dimensional Shapes- Properties of prisms, pyramids, cylinders, cones, and spheres
- Surface area and volume of three-dimensional shapes
17. Grade 10 Circles- Properties of circles
- Arcs, chords, and sectors
- Circumference and area of circles
18. Grade 10 Pythagoras' Theorem- Understanding and applying Pythagoras' theorem
- Solving problems involving right triangles
19. Grade 10 Trigonometry- Trigonometric ratios (sine, cosine, tangent)
- Solving problems involving right triangles using trigonometry
20. Grade 10 Functions- Understanding functions and their notation
- Graphing linear and quadratic functions
21. Grade 10 Transformations- Translations, reflections, rotations, and dilations of geometric figures
- Describing transformations using coordinates
22. Grade 10 Vectors- Understanding vectors and their properties
- Operations with vectors (addition, subtraction, scalar multiplication)
23. Grade 10 Probability- Calculating probabilities of events
- Experimental and theoretical probabilities
- Counting principles and probability
24. Grade 10 Statistics- Data collection and organization
- Measures of central tendency (mean, median, mode)
- Data interpretation and analysis
The Grade 10 Mathematics syllabus covers a wide range of topics, providing students with a solid foundation in various mathematical concepts and skills. Mastery of these topics will prepare students for further studies in mathematics and related fields.
This course is helpful for the following exams: Grade 10