Grade 10 Mathematics marks a critical transition into the Further Education and Training (FET) phase, laying the groundwork for concepts that will be tested in Matric. The curriculum introduces abstract algebra, formal geometry proofs, and trigonometry. To ensure you stay on track with your studies, it is essential to consult the full Grade 10 Annual Teaching Plans (ATPs).
This article outlines the 2026 Grade 10 Mathematics ATP, breaking down the weekly focus areas for teachers and learners, from the initial Algebraic Expressions in Term 1 to the final End-of-Year Examinations.
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Download ATP HereGrade 10 Mathematics ATP 2026
The Annual Teaching Plan is divided into four terms, ensuring comprehensive coverage of algebra, geometry, trigonometry, statistics, and functions.
Term 1: Algebra, Exponents, and Trigonometry
Focus: The first term establishes the algebraic foundation required for the rest of the year and introduces Trigonometry for the first time.
- Weeks 1–3: Algebraic Expressions
- Real Numbers: Understanding rational and irrational numbers, surds, and rounding.
- Products: Multiplication of a binomial by a trinomial.
- Factorisation: Common factors, difference of two squares, trinomials, grouping, and sum/difference of two cubes.
- Fractions: Simplifying, adding, and subtracting algebraic fractions.
- Weeks 4–7: Exponents, Equations and Inequalities
- Exponents: Simplifying expressions and solving equations using laws of exponents.
- Equations: Linear equations, quadratic equations (by factorisation), simultaneous linear equations, and literal equations (changing the subject of the formula).
- Inequalities: Solving linear inequalities and representing solutions graphically.
- Weeks 8–10: Trigonometry
- Ratios: Defining sin, cos, and tan ($0^{\circ} \le \theta \le 360^{\circ}$) and reciprocals (cosec, sec, cot).
- Special Angles: Deriving ratios for $0^{\circ}, 30^{\circ}, 45^{\circ}, 60^{\circ}, 90^{\circ}$ without a calculator.
- Solving: Simple trigonometric equations and 2D problems involving right-angled triangles.
- Assessment: Investigation or Project (15%) and Test (14%).
Term 2: Geometry and Functions
Focus: The second term shifts focus to spatial reasoning with Euclidean and Analytical Geometry, followed by an in-depth study of Functions.
- Weeks 1–3: Euclidean Geometry
- Quadrilaterals: Properties of the kite, parallelogram, rectangle, rhombus, square, and trapezium.
- Theorems: Investigating and proving conjectures about sides, angles, and diagonals. Midpoint theorem.
- Week 4: Analytical Geometry
- Coordinates: Distance between two points, gradient of a line segment (parallel and perpendicular lines), and coordinates of the midpoint.
- Weeks 5–9: Functions and Graphs
- Concept: Understanding relationships between variables using tables, graphs, and formulae.
- Basic Graphs: Plotting and interpreting linear ($y=x$), parabolic ($y=x^2$), hyperbolic ($y = \frac{1}{x}$), and exponential ($y=b^x$) graphs.
- Trig Functions: Plotting sine, cosine, and tangent graphs.
- Transformations: Investigating the effect of parameters $a$ and $q$ on graphs ($y = a.f(x) + q$).
- Assessment: Assignment (15%) and Mid-Year Exam (14%).
Term 3: Trigonometry, Statistics, and Finance
Focus: Term 3 covers practical applications of mathematics, including data handling, financial planning, and further trigonometry.
- Weeks 1–2: Trigonometry (2D)
- Problems: Solving two-dimensional problems involving right-angled triangles.
- Weeks 3–4: Statistics
- Ungrouped Data: Measures of central tendency (mean, median, mode).
- Grouped Data: Estimated mean, modal interval, and median interval.
- Dispersion: Range, percentiles, quartiles, inter-quartile range, and box-and-whisker diagrams.
- Weeks 5–7: Probability
- Models: Comparing relative frequency with theoretical probability.
- Venn Diagrams: Solving problems involving events in a sample space (union, intersection, mutually exclusive, complementary events).
- Weeks 8–9: Finance and Growth
- Interest: Simple and compound growth formulae.
- Applications: Hire purchase, inflation, population growth, and foreign exchange rates.
- Assessment: Two Tests (14% each).
Term 4: Measurement, Revision, and Final Examinations
Focus: The final term covers measurement and number patterns before moving into comprehensive revision for the final exams. For additional practice materials, visit our Grade 10 Past Papers section.
- Week 1: Measurement
- Volume & Surface Area: Right prisms, cylinders, spheres, right pyramids, and cones. Effect of multiplying dimensions by a constant factor $k$.
- Week 2: Number Patterns
- Linear Patterns: Investigating patterns with a constant difference between consecutive terms and finding the general term.
- Weeks 3–5: Revision
- Comprehensive revision of Algebra, Trigonometry, Geometry, and Functions.
- Assessment: End-of-Year Examinations
- Paper 1 (Algebra – 100 marks): Algebraic expressions, Exponents, Equations, Inequalities, Number Patterns, Finance, Functions, Probability.
- Paper 2 (Geometry – 100 marks): Statistics, Analytical Geometry, Trigonometry, Euclidean Geometry, Measurement.
FAQ: Grade 10 Mathematics
Q: Can I use a calculator in Grade 10 Mathematics?
A: Yes, a non-programmable scientific calculator is essential. However, certain sections, like “Special Angles” in Trigonometry, require you to derive answers without using a calculator.
Q: What is the difference between Euclidean and Analytical Geometry?
A: Euclidean Geometry focuses on properties, theorems, and proofs involving shapes and lines (using logic). Analytical Geometry applies algebra (coordinates and formulae) to solve geometric problems on a Cartesian plane.
Q: Is Grade 10 Maths difficult?
A: Grade 10 is a big jump from Grade 9. It introduces abstract concepts like formal proofs and trigonometry. Consistent practice and mastering the basics in Term 1 are crucial for success.