Grade 10 Mathematics

Categories: Grade 10, Mathematics
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About Course

The Grade 10 Mathematics course is designed to build a strong foundation for senior-phase Mathematics and prepare learners for the more advanced work covered in Grades 11 and 12.

The course follows the CAPS/DBE curriculum and covers key Grade 10 topics such as Algebraic Expressions, Exponents and Surds, Equations and Inequalities, Number Patterns, Functions and Graphs, Finance and Growth, Trigonometry, Analytical Geometry, Euclidean Geometry, Measurement, Probability, and Statistics.

Learners work through structured lessons, worked examples, practice exercises, quizzes, assignments, revision activities, and examination-style questions. The course focuses on developing mathematical understanding, problem-solving skills, accurate calculations, and the correct interpretation of questions.

By the end of the course, learners should have a solid understanding of Grade 10 Mathematics and be better prepared for school-based assessments, examinations, and progression into Grade 11.

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What Will You Learn?

  • ATP-aligned lessons, guided practice, quizzes, revision activities and formal-assessment preparation.

Course Content

Before You Begin: Lesson Prerequisites & Materials

  • Welcome to Grade 10 Mathematics!
  • Learner Conduct and Course Expectations
  • Mathematics Equipment, Desmos and Showing Your Working
  • Recommended Textbooks and Learning Materials
  • Join Our Group Chat
  • How to Scan and Submit Your Work

TERM 1

Algebraic Expressions and Real Numbers

Real Numbers, Surds and Accuracy
Classify rational and irrational numbers; locate simple surds between integers; round real numbers to an appropriate degree of accuracy.

Algebraic Fractions
Simplify, add and subtract algebraic fractions using factorisation, including denominators involving sums and differences of cubes.

Algebraic Expressions and Factorization
Multiply a binomial by a trinomial; revise Grade 9 factorisation; factorise trinomials, expressions by grouping, and sums and differences of two cubes.

Exponents, Equations and Inequalities

Equations and Inequalities
Solve linear and quadratic equations, simultaneous linear equations, literal equations and word problems; solve linear inequalities and represent solutions graphically and in interval notation.

Exponents
Revise and apply exponent laws for integer and rational exponents; simplify expressions and solve exponential equations.

Trigonometric Ratios and Equations

Trigonometric Rations and Special Angles
Define sine, cosine and tangent in right-angled triangles; extend ratios from 0° to 360°; examine reciprocal ratios; derive exact values for 0°, 30°, 45°, 60° and 90°.

Two Diamentional Trigonometry
Solve right-angled two-dimensional problems, simple trigonometric equations and problems involving ratios for angles from 0° to 360°.

TERM 2

Euclidean Geometry

Analytical Geometry

Functions and Graphs Including Trigonometric

Term 2 Revision

TERM 3

Two-Dimensional Trigonometry
<p>Solve problems involving right-angled triangles and other two-dimensional trigonometric contexts.</p>

Central Tendency
<p>Calculate and interpret the mean, median and mode for ungrouped data; estimate the mean and identify modal and median intervals for grouped data.</p>

Dispersion and Five-Number Summary
<p>Calculate and interpret range, percentiles, quartiles, interquartile and semi-interquartile ranges; construct and interpret five-number summaries and box-and-whisker diagrams.</p>

Statistical Graphs and Interpretation
<p>Construct and interpret histograms; use measures and graphs to analyse data and make meaningful contextual comments.</p>

Probability Models
<p>Compare experimental relative frequency with theoretical probability and interpret differences.</p>

Venn Diagrams and Probability Rules
<p>Use Venn diagrams; apply the addition rule; identify mutually exclusive and complementary events and calculate related probabilities.</p>

Finance and Growth
<p>Apply simple and compound growth formulae to interest, hire purchase, inflation, population growth and other contexts; understand effects of fluctuating exchange rates.</p>

Term 3 Revision and Formal Tests
<p>Consolidate trigonometry, statistics, probability, finance and growth and prepare for the prescribed formal tests.</p>

TERM 4: Revision and Exam Preparations

Measurement, Volume and Surface Area

Number Patterns, Linear

Revision of Algebra

Revision of Trigonometry and Geometry

Revision of Functions

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