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Grade 11 Mathematics: modules and lessons

Explore Grade 11 Mathematics: 24 modules and 211 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.

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  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.

Worked explanations

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
  8. 4.8
  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

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
  3. 6.3.QUADRATIC INEQUALITIES
  4. 6.4.INEQUALITIES INVOLVING FRACTIONS
  5. 6.5.INEQUALITIES INVOLVING ROOTS

NATURE OF ROOTS

  1. 7.1.NATURE OF ROOTS
  2. 7.2.DETERMINING THE NATURE OF ROOTS
  3. 7.3.FINDING THE VALUE OF AN UNKNOWN

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.REVIEW OF GRADE 10
  7. 10.7.INVESTIGATING HORIZONTAL TRANSLATIONS (SHIFTS)
  8. 10.8.SKETCH COMBINATIONS USING TWO PARAMETER CHANGES
  9. 10.9.SKETCHING WITH A TURNING POINT FORM
  10. 10.10.DETERMINING THE EQUATION USING ROOTS AND ONE POINT
  11. 10.11.DETERMINING THE EQUATION USING VERTEX AND ONE POINT
  12. 10.12.GRAPH INTERPERTATION; STRAIGHT LINE AND PARABOLA

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
  7. 11.7.REVIEW GRADE 10
  8. 11.8.INVESTIGATING HORIZONTAL TRANSLATIONS (SHIFTS)
  9. 11.9.ASYMPTOTES AND LINES OF SYMMETRY
  10. 11.10.SKETCHING COMBINATIONS USING TWO OR MORE PARAMETER CHANGES
  11. 11.11.GRAPH INTERPRETATION; 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. 12.5
  6. 12.6.GRAPH INTERPRETATION
  7. 12.7.REVIEW OF GRADE 10
  8. 12.8.INVESTIGATING HORIZONTAL TRANSLATIONS (SHIFTS)
  9. 12.9.SKETCHING COMBINATIONS OF GRAPHS
  10. 12.10.GRAPH INTERPRETATION PART 1
  11. 12.11.GRAPH INTERPRETATION PART 2

Module not specified

  1. 13

FINANCE AND GROWTH

  1. 14.1.SIMPLE GROWTH
  2. 14.2.SIMPLE GROWTH; CALCULATING INTEREST RATE HIRE PURCHASE
  3. 14.3.COMPOUND GROWTH
  4. 14.4.IMPLICATIONS OF FLUCTUATING EXCHANGE RATES
  5. 14.5.SIMPLE DECAY
  6. 14.6.INTEREST AND SIMPLE DECAY
  7. 14.7.SIMPLE DECAY CALCULATING ANY VARIABLE
  8. 14.8.COMPOUND DEPRECIATION
  9. 14.9.COMPOUND DEPRECIATION; CALCULATING ANY VARIABLE
  10. 14.10.COMPOUND DEPRECIATION; REDUCING BALANCE DEPRECIATION
  11. 14.11.COMPOUND DEPRECIATION; DIFFERENT COMPOUNDINGS
  12. 14.12.NOMINAL AND EFFECTIVE INTEREST RATES
  13. 14.13.TIMELINES
  14. 14.14.CHANGING COMPOUND RATES

NUMBERS AND PATTERNS

  1. 15.1.ARITHMETIC; PATTERNS INTRODUCTION
  2. 15.2.ARITHMETIC; THE GENERAL TERM
  3. 15.3.ARITHMETIC; PATTERNS PROBLEM SOLVING
  4. 15.4.QUADRATIC SEQUENCES INVESTIGATION
  5. 15.5.QUADRATIC SEQUENCES THE GENERAL TERM 1
  6. 15.6.QUADRATIC SEQUENCES THE GENERAL TERM 2
  7. 15.7.QUADRATIC SEQUENCES PROBLEM SOLVING

PROBABILITY

  1. 16.1.VENN DIAGRAMS
  2. 16.2.TREE DIAGRAMS AND CONTINGENCY TABLES
  3. 16.3.INDEPENDENT AND DEPENDENT EVENTS
  4. 16.4.THE COUNTING PRINCIPLE
  5. 16.5.PERMUTATIONS AND COMBINATIONS

EUCLIDEAN GEOMETRY

  1. 17.1.PROPERTIES; LINES AND ANGLES
  2. 17.2.REVISE TRIANGLES AND QUADRILATERALS
  3. 17.3.SIMILAR AND CONGRUENT TRIANGLES
  4. 17.4.SPECIAL QUADRILATERALS AND THEIR PRORERTIES PART 1
  5. 17.5.SPECIAL QUADRILATERALS AND THEIR PRORERTIES PART 2
  6. 17.6.EXAMPLES; HOW TO PROVE THEOREMS ON PARALELLOGRAMS
  7. 17.7.CALCULATE THE INTERIOR ANGLES OF POLYGONS
  8. 17.8.THE MIDPOINT THEOREM
  9. 17.9.CIRCLE TERMINOLOGY AND LINE SEGMENT THROUGH CENTRE AND MIDPOINT
  10. 17.10.PERPENDICULAR BISECTOR OF A CHORD AND ANGLE AT CENTRE
  11. 17.11.OPPOSITE ANGLES OF CYCLIC QUADRILATERAL
  12. 17.12.PROVE A QUADRILATERAL IS CYCLIC, TANGENTS FROM THE SAME POINT, TAN CHORD

MEASUREMENT

  1. 18.1.SURFACE AREA AND VOLUME
  2. 18.2.MULTIPLYING DIMENSIONS SCALE FACTOR
  3. 18.3.RIGHT PRISMS SURFACE AREA AND VOLUME
  4. 18.4.CYLINDERS SURFACE AREA AND VOLUME
  5. 18.5.SPHERES SURFACE AREA AND VOLUME
  6. 18.6.RIGHT PYRAMIDS SURFACE AREA AND VOLUME
  7. 18.7.CONES SURFACE AREA AND VOLUME
  8. 18.8.COMPLEX OBJECTS SURFACE AREA AND VOLUME

TRIGONOMETRY

  1. 19.1.INTRODUCTION
  2. 19.2.SIN COS AND TAN
  3. 19.3.RATIOS IN THE FIRST QUADRANT OF A CARTESIAN PLANE
  4. 19.4.SPECIAL ANGLES 30, 45, AND 60 DEGREES
  5. 19.5.SPECIAL ANGLES 0 AND 90 DEGREES
  6. 19.6.TRIGONOMETRIC RATIOS IN ALGEBRAIC EXPRESSIONS
  7. 19.7.USE A CALCULATOR TO FIND THE RATIO OF AN ANGLE
  8. 19.8.SIMPLE TRIGONOMETRIC EQUATIONS
  9. 19.9.FIND THE LENGTH OF ONE SIDE OF A TRIANGLE
  10. 19.10.FIND ONE OF THE ANGLES OF A TRIANGLE
  11. 19.11.DIRECTION AND BEARING
  12. 19.12.ANGLE OF ELEVATION AND DEPRESSION
  13. 19.13.ANGLES IN FOUR QUADRANTS OF THE CARTESIAN PLANE
  14. 19.14.COSEC, SEC AND COT

TRIGONOMETRIC GRAPHS

  1. 20.1.SINE AND COSINE GRAPHS
  2. 20.2.TAN GRAPH
  3. 20.3.PERIOD AND AMPLITUDE PART 1
  4. 20.4.PERIOD AND AMPLITUDE PART 2
  5. 20.5.VERTICAL SHIFTS
  6. 20.6.HORIZONTAL SHIFTS

IDENTITIES

  1. 21.1.THE QUOTIENT IDENTITY
  2. 21.2.THE SQUARE IDENTITY
  3. 21.3.IDENTITIES IN SOLVING TRIG EXPRESSIONS
  4. 21.4.PROOF IDENTITIES
  5. 21.5.UNDEFINED IDENTITIES
  6. 21.6.CAST RULE
  7. 21.7.TRIGNOMETRIC RATIOS (180 DEGREES)
  8. 21.8.TRIGONOMETRIC RATIOS
  9. 21.9.NEGATIVE ANGLES
  10. 21.10.ANGLES GREATER THAN 360 DEGREES
  11. 21.11.COFUNCTIONS 1
  12. 21.12.COFUNCTIONS 2
  13. 21.13.SIN, COS AND k360 DEGREES
  14. 21.14.GENERAL SOLUTION TAN
  15. 21.15.TRIG EQUATIONS; FINDING THETA IN A GIVEN INTERVAL
  16. 21.16.TRIG EQUATIONS; SPECIAL FORMS
  17. 21.17.AREA RULE
  18. 21.18.SINE RULE
  19. 21.19.COSINE RULE

TRIGONOMETRIC FUNCTIONS

  1. 22.1.INVESTIGATING VERTICAL TRANSLATIONS (SHIFTS)
  2. 22.2.INVESTIGATING VERTICAL DILATIONS (STRECTHES)
  3. 22.3.SKETCHING USING TURNING POINT AND INTERCEPTS

ANALYTICAL GEOMETRY

  1. 23.1.DISTANCE FORMULA
  2. 23.2.MIDPOINT FORMULA
  3. 23.3.GRADIENT FORMULA
  4. 23.4.GRADIENT OF HORIZONTAL AND VERTICAL LINES
  5. 23.5.PARALLEL AND PERPENDICULAR LINES
  6. 23.6.COLLINEAR POINTS
  7. 23.7.DEFINE ANGLE OF INCLINATION
  8. 23.8.CALCULATE THE INCLINATION OF A LINE WITH TAN AS GRADIENT
  9. 23.9.GRADIENT AND Y INTERCEPT
  10. 23.10.GRADIENT AND ONE POINT
  11. 23.11.THROUGH ONE POINT AND PARALLEL OR PERPENDICULAR TO A GIVEN LINE
  12. 23.12.INTERSECTING LINES
  13. 23.13.PROVE THAT A QUADRILATERAL IS A PARM, RECTANGLE, RHOMBUS, ETC

STATISTICS

  1. 24.1.MEASURES OF CENTRAL TENDENCY
  2. 24.2.MEASURES OF DISPERSION
  3. 24.3.FIVE NUMBER SUMMARY; BOX AND WHISKER DIAGRAMS
  4. 24.4.CALCULATING MEASURES OF CENTRAL TENDENCY AND DISPERSION
  5. 24.5.WORKING WITH GROUPED DATA
  6. 24.6.STANDARD DEVIATION AND VARIANCE
  7. 24.7.SYMMETRICAL AND SKEWED DATA
  8. 24.8.IDENTIFICATION OF OUTLIERS
  9. 24.9.REPRESENTING DATA; FREQUENCY TABLES
  10. 24.10.REPRESENTING DATA; BAR GRAPHS
  11. 24.11.REPRESENTING DATA; STEM AND LEAF PLOTS
  12. 24.12.REPRESENTING DATA; HISTOGRAMS
  13. 24.13.REPRESENTING DATA; FREQUENCY POLYGONS
  14. 24.14.REPRESENTING DATA; OGIVES
  15. 24.15.REPRESENTING DATA; SCATTER PLOTS

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