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Grade 10 Mathematics: modules and lessons

Explore Grade 10 Mathematics: 22 modules and 130 lesson entries. Use the dorKk lesson guide to plan revision and catch-up study.

dorKk provides pre-recorded CAPS-aligned video lessons for self-paced study alongside schoolwork. Choose a module below, find the lesson that matches your classwork, and use the sequence to identify gaps. This guide lists lesson titles; access to the videos depends on your subscription. dorKk is not an online school.

Source: dorKk English lesson list dated 21 January 2026. Catalogue entries may differ from current app availability.

Plan your study

  1. Choose the module you are currently studying at school.
  2. Try a textbook question first and note where you get stuck.
  3. Watch the matching lesson, try again and keep a list of questions for your teacher.

ALGEBRA & EQUATIONS

  1. 1.1.BASIC ALGEBRA; THE REAL NUMBER SYSTEM
  2. 1.2.POSITIONING A SURD BETWEEN TWO INTEGERS
  3. 1.3.ROUNDING REAL NUMBERS
  4. 1.4.INSTANTANEOUS VELOCITY AND SPEED
  5. 1.5.POLYNOMIALS; MULTIPLICATION OF A BINOMIAL BY A BINOMIAL
  6. 1.6.MULTIPLICATION OF A BINOMIAL BY A TRINOMIAL

FACTORISATION

  1. 2.1.COMMON FACTOR
  2. 2.2.DIFFERENCE OF SQUARES
  3. 2.3.GROUPING IN PAIRS
  4. 2.4.GROUPING 3 AND 1
  5. 2.5.TRINOMIALS
  6. 2.6.SUM AND DIFFERENCE OF CUBES
  7. 2.7.FACTOR AND REMAINDER THEOREM
  8. 2.8.FACTORISING THIRD DEGREE POLYNOMIALS

FRACTIONS

  1. 3.1.MULTIPLICATION AND DIVISION
  2. 3.2.ADDITION AND SUBTRACTION
  3. 3.3.MULTIPLICATION AND DIVISION FACTORISING
  4. 3.4.ADDITION AND SUBTRACTION FACTORISING (LCD)

EXPONENTS

  1. 4.1.EXPONENTIAL RULES AND
  2. 4.2.EXPONENTIAL EXPRESSIONS (MULTIPLY AND DIVIDE)
  3. 4.3.EXPONENTIAL EXPRESSIONS (ADD AND SUBTRACT)
  4. 4.4.EXPONENTIAL EQUATIONS (SIMPLE), UNKNOWN IN POWER
  5. 4.5.EXPONENTIAL EQUATIONS, UNKNOWN IN POWER FACTORISING
  6. 4.6.EXPONENTIAL EQUATIONS, UNKNOWN IN BASE
  7. 4.7.EXPONENTIAL EQUATIONS, SAME BASE AND POWER DOUBLE THE OTHER
  8. 4.8.EXPONENTIAL EQUATIONS, SAME BASE ONE POWER NEGATIVE OF THE OTHER
  9. 4.9.SURDS; LAWS, CONVERTING BETWEEN SURD AND EXPONENT FORM
  10. 4.10.SURD EXPRESSIONS; MULTIPLICATION AND DIVISION
  11. 4.11.SURD EXPRESSIONS; ADDITION AND SUBTRACTION
  12. 4.12.SURD EQUATIONS

EQUATIONS

  1. 5.1.SOLVING LINEAR EQUATIONS REVIEW
  2. 5.2.SOLVING LINEAR EQUATIONS WITH SINGLE TERM DENOMINATORS
  3. 5.3.SOLVING LINEAR EQUATIONS FACTORISE FOR LCD (RESTRICTIONS)
  4. 5.4.SOLVING QUADRATIC EQUATIONS THROUGH FACTORISING
  5. 5.5.SOLVING SIMULTANEOUS LINEAR EQUATIONS IN TWO UNKNOWNS; ELIMINATION
  6. 5.6.SOLVING SIMULTANEOUS LINEAR EQUATIONS IN TWO UNKNOWNS; SUBSTITUTION
  7. 5.7.SOLVING WORD PROBLEMS; LINEAR EQUATIONS (MONEY, NUMBER, ETC)
  8. 5.8.SOLVING WORD PROBLEMS; QUADRATIC EQUATIONS (AREA)
  9. 5.9.SOLVING WORD PROBLEMS; SIMULTANEOUS EQUATIONS (RATES)
  10. 5.10.SOLVING LITERAL EQUATIONS; CHANGING THE SUBJECT OF THE FORMULA

INEQUALITIES

  1. 6.1.LINEAR INEQUALITIES
  2. 6.2.INTERVAL NOTATION

7.0 MISSING

  1. 7.0 MISSING

FUNCTIONS

  1. 8.1.RELATIONS AND FUNCTIONS
  2. 8.2.TERMINOLOGY
  3. 8.3.AVERAGE GRADIENT
  4. 8.4.DEFINITION OF A FUNCTION

STRAIGHT LINE

  1. 9.1.THE PARENT GRAPH
  2. 9.2.SKETCHING; TABLE METHOD
  3. 9.3.INVESTIGATING VERTICAL TRANSLATIONS
  4. 9.4.INVESTIGATING VERTICAL DILATIONS
  5. 9.5.SKETCHING GRADIENT INTERCEPT METHOD
  6. 9.6.SKETCHING DUAL INTERCEPT METHOD
  7. 9.7.WAYS TO FIND THE GRADIENT
  8. 9.8.DETERMINE THE EQUATION
  9. 9.9.GRAPH INTERPETATION

PARABOLA

  1. 10.1.THE PARENT GRAPH
  2. 10.2.INVESTIGATING VERTICAL TRANSLATIONS (SHIFTS)
  3. 10.3.INVESTIGATING VERTICAL DILATIONS (STRETCHES)
  4. 10.4.SKETCHING USING TURNING POINT AND INTERCEPTS
  5. 10.5.DETERMINING THE EQUATION
  6. 10.6.GRAPH INTERPRETATION STRAIGHT LINE AND PARABOLA
  7. 10.7.REVIEW OF GRADE 10

HYPERBOLA

  1. 11.1.THE PARENT GRAPH
  2. 11.2.INVESTIGATING VERTICAL TRANSLATIONS (SHIFTS)
  3. 11.3.INVESTIGATING VERTICAL DILATIONS (STRETCHES)
  4. 11.4.SKETCHING
  5. 11.5.DETERMINING THE EQUATION
  6. 11.6.GRAPH INTERPETATION; STRAIGHT LINE AND HYPERBOLA

EXPONENTIAL FUNCTIONS

  1. 12.1.PARENT GRAPHS
  2. 12.2.VERTICAL SHIFTS
  3. 12.3.VERTICAL DILATIONS
  4. 12.4.SKETCHING
  5. 12.6.GRAPH INTERPRETATION

12.5

  1. 12.5

FINANCE AND GROWTH

  1. 13.1.SIMPLE GROWTH
  2. 13.2.SIMPLE GROWTH; CALCULATING INTEREST RATE HIRE PURCHASE
  3. 13.3.COMPOUND GROWTH
  4. 13.4.IMPLICATIONS OF FLUCTUATING EXCHANGE RATES

NUMBERS AND PATTERNS

  1. 14.1.ARITHMETIC; PATTERNS INTRODUCTION
  2. 14.2.ARITHMETIC; THE GENERAL TERM
  3. 14.3.ARITHMETIC; PATTERNS PROBLEM SOLVING

PROBABILITY

  1. 15.1.VENN DIAGRAMS
  2. 15.2.TREE DIAGRAMS AND CONTINGENCY TABLES
  3. 15.3.INDEPENDENT AND DEPENDENT EVENTS
  4. 15.4.THE COUNTING PRINCIPLE
  5. 15.5.PERMUTATIONS AND COMBINATIONS

EUCLIDEAN GEOMETRY

  1. 16.1.PROPERTIES LINES AND ANGLES
  2. 16.2.REVISE TRIANGLES AND QUADRILATERALS
  3. 16.3.SIMILAR AND CONGRUENT TRIANGLES
  4. 16.4.SPECIAL QUADRILATERALS AND THEIR PRORERTIES PART 1
  5. 16.5.SPECIAL QUADRILATERALS AND THEIR PRORERTIES PART 2
  6. 16.6.EXAMPLES; HOW TO PROVE THEOREMS ON PARALELLOGRAMS
  7. 16.7.CALCULATE THE INTERIOR ANGLES OF POLYGONS
  8. 16.8.THE MIDPOINT THEOREM

MEASUREMENT

  1. 17.1.SURFACE AREA AND VOLUME
  2. 17.2.MULTIPLYING DIMENSIONS SCALE FACTOR
  3. 17.3.RIGHT PRISMS SURFACE AREA AND VOLUME
  4. 17.4.CYLINDERS SURFACE AREA AND VOLUME
  5. 17.5.SPHERES SURFACE AREA AND VOLUME
  6. 17.6.RIGHT PYRAMIDS SURFACE AREA AND VOLUME
  7. 17.7.CONES SURFACE AREA AND VOLUME
  8. 17.8.COMPLEX OBJECTS SURFACE AREA AND VOLUME

TRIGONOMETRY

  1. 18.1.INTRODUCTION TO TRIGONOMETRY
  2. 18.2.SIN, COS AND TAN
  3. 18.3.RATIOS IN THE FIRST QUADRANT OF A CARTESIAN PLANE
  4. 18.4.SPECIAL ANGLES 30, 45 AND 60 DEGREES
  5. 18.5.SPECIAL ANGLES 0 AND 90 ON THE CARTESIAN PLANE
  6. 18.6.TRIG RATIOS IN ALGEBRAIC EXPRESSIONS
  7. 18.7.USE A CALCULATOR TO FIND THE RATIO OR THE ANGLE
  8. 18.8.SIMPLE TRIGONOMETRIC EQUATIONS
  9. 18.9.FIND THE LENGTH OF ONE SIDE OF A TRIANGLE
  10. 18.10.FIND ONE OF THE ANGLES OF A TRIANGLE
  11. 18.11.DIRECTION AND BEARING
  12. 18.12.ANGLES OF ELEVATION AND DEPRESSION
  13. 18.13.ANGLES IN FOUR QUADRANTS OF THE CARTESIAN PLANE
  14. 18.14.COSEC, SEC AND COT

TRIGONOMETRIC GRAPHS

  1. 19.1.SINE AND COSINE GRAPHS
  2. 19.2.TAN GRAPH
  3. 19.3.PERIODS AND AMPLITUDE
  4. 19.4.VERTICAL SHIFTS

TRIGONOMETRIC FUNCTIONS

  1. 20.1.INVESTIGATING VERTICAL TRANSLATIONS (SHIFTS)
  2. 20.2.INVESTIGATING VERTICAL DILATIONS (STRECHES)
  3. 20.3.SKETCHING USING TURNING POINT AND INTERCEPTS

ANALYTICAL GEOMETRY

  1. 21.1.DISTANCE FORMULA
  2. 21.2.MIDPOINT FORMULA
  3. 21.3.GRADIENT FORMULA
  4. 21.4.GRADIENT OF HORIZONTAL AND VERTICAL LINES
  5. 21.5.PARALLEL AND PERPENDICULAR LINES
  6. 21.6.COLLINEAR POINT

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