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Maths tutoring

Online Maths tutoring with every topic taught step by step by GradesPal tutors. Every Grade 11 Mathematics topic taught as a full premium study guide: exponents, equations, patterns, functions, finance, probability, statistics, analytical geometry, trigonometry and Euclidean geometry, with worked examples, exam clinics and past-paper practice.

Grade 10Grade 11Grade 12
MATHS · GRADE 11

What this subject covers

The GradesPal Grade 11 Mathematics subject follows a term-by-term teaching plan and builds the exact skills the Grade 12 subject and the final exam rely on. Paper 1 covers exponents and surds, equations and inequalities, number patterns, functions and graphs, finance, growth and decay, and probability; Paper 2 covers statistics, analytical geometry, trigonometry (identities, reduction formulae, the sine, cosine and area rules in two and three dimensions), measurement and circle geometry. Every module teaches the idea from scratch, shows the exam method with fully worked examples, and ends with an exam clinic and mark-by-mark practice questions; where real Grade 11 past papers exist, their questions are included with the official memo.

Modules
10
Lessons
63
Study time
68h 0m
Learners
3
  • Solve every Grade 11 Paper 1 and Paper 2 question type with a clear, mark-winning method
  • Understand each topic well enough to carry it into Grade 12 without gaps
  • Write circle-geometry proofs and trigonometric identities with the reasons the memo wants
  • Mark your own work against worked memos and find your weak topics
LESSONS

Subject content

01Module 1 · Algebra: exponents, surds, equations and inequalities

  1. Exponents: the laws, rational exponents and exponential equationsAlgebra70 min
  2. Surds: simplify, multiply, rationalise and solve equations with rootsAlgebra65 min
  3. Quadratic equations: factorising, fractions and substitutionAlgebra65 min
  4. The quadratic formula and completing the squareAlgebra60 min
  5. The nature of roots and quadratic word problemsAlgebra60 min
  6. Quadratic inequalities: critical values, sign diagrams and the parabola methodAlgebra60 min
  7. Simultaneous equations: a line and a curveAlgebra60 min
  8. Exam clinic: how Questions 1 and 2 are built, and a full mockAlgebra50 min
  9. Past-paper questions: Exponents and surds (with memos)Algebra50 min
  10. Past-paper questions: Equations and inequalities (with memos)Algebra70 min

02Module 2 · Number patterns: linear and quadratic

  1. Linear number patterns: the general term and finding unknownsSequences and Series55 min
  2. Quadratic number patterns: the second difference and the general termSequences and Series70 min
  3. Using the general term: which term, first differences and proofsSequences and Series65 min
  4. Exam clinic: how Questions 3 and 4 are built, and a full mockSequences and Series50 min
  5. Past-paper questions: Number patterns (with memos)Sequences and Series70 min

03Module 3 · Functions and graphs

  1. The parabola: turning point, intercepts, range and symmetryFunctions and Inverse Functions75 min
  2. The hyperbola: asymptotes, intercepts, axes of symmetry and sketchingFunctions and Inverse Functions70 min
  3. The exponential function: asymptote, intercepts, range and sketchingFunctions and Inverse Functions65 min
  4. Two graphs together: average gradient, intersections, inequalities and tangentsFunctions and Inverse Functions70 min
  5. Transformations: translations and reflections of graphsFunctions and Inverse Functions55 min
  6. Trigonometric graphs: sine, cosine and tangent with amplitude, period and shiftsTrigonometry65 min
  7. Exam clinic: how Questions 5 and 6 are built, and a full mockFunctions and Inverse Functions55 min
  8. Past-paper questions: Functions and graphs (with memos)Functions and Inverse Functions90 min

04Module 4 · Finance, growth and decay

  1. Simple and compound growth: A = P(1 + i)ⁿ and compounding periodsFinancial Mathematics65 min
  2. Nominal and effective interest ratesFinancial Mathematics55 min
  3. Decay: linear depreciation, reducing balance and inflationFinancial Mathematics60 min
  4. Timelines: changing rates, deposits and withdrawalsFinancial Mathematics70 min
  5. Exam clinic: how Question 7 is built, and a full mockFinancial Mathematics45 min
  6. Past-paper questions: Finance, growth and decay (with memos)Financial Mathematics40 min

05Module 5 · Probability

  1. Probability from Venn diagrams: unions, complements and three setsProbability65 min
  2. Mutually exclusive and independent eventsProbability60 min
  3. Tree diagrams: with and without replacementProbability70 min
  4. Contingency tables: reading probabilities and testing independenceProbability55 min
  5. Exam clinic: how Questions 8 and 9 are built, and a full mockProbability50 min
  6. Past-paper questions: Probability (with memos)Probability50 min

06Module 6 · Statistics

  1. Summarising data: central tendency, quartiles and box-and-whisker plotsStatistics65 min
  2. Histograms, frequency polygons and ogivesStatistics70 min
  3. Variance and standard deviation of ungrouped dataStatistics65 min
  4. Symmetrical and skewed data, and identifying outliersStatistics60 min
  5. Exam clinic: how the Paper 2 statistics question is built, and a full mockStatistics45 min

07Module 7 · Analytical geometry

  1. Distance, midpoint and gradient: parallel, perpendicular and collinear pointsAnalytical Geometry65 min
  2. The inclination of a line and the angle between two linesAnalytical Geometry60 min
  3. The equation of a straight line: parallel, perpendicular and the perpendicular bisectorAnalytical Geometry65 min
  4. Proving shapes with coordinates: parallelograms, rectangles, rhombuses and areaAnalytical Geometry70 min
  5. Exam clinic: how an analytical-geometry question is built, and a full mockAnalytical Geometry50 min

08Module 8 · Trigonometry and measurement

  1. Trig ratios in all four quadrants and the special anglesTrigonometry65 min
  2. Trigonometric identities: simplifying and provingTrigonometry70 min
  3. Reduction formulae and negative anglesTrigonometry70 min
  4. Solving trigonometric equations and general solutionsTrigonometry70 min
  5. The area rule, the sine rule and the cosine ruleTrigonometry75 min
  6. Trigonometry problems in two and three dimensionsTrigonometry70 min
  7. Measurement: surface area and volume of combined solidsTrigonometry60 min
  8. Exam clinic: how the Paper 2 trigonometry questions are built, and a full mockTrigonometry55 min

09Module 9 · Euclidean geometry

  1. Circle basics: chords, centre angles and the semicircleEuclidean Geometry60 min
  2. Cyclic quadrilaterals and their conversesEuclidean Geometry60 min
  3. Tangents: radius, equal tangents and the tan-chord theoremEuclidean Geometry65 min
  4. Riders: how to write a geometry proofEuclidean Geometry60 min
  5. Proving the theorems: centre angle and cyclic quadrilateralEuclidean Geometry50 min
  6. Exam clinic: how a Euclidean geometry question is built, and a full mockEuclidean Geometry45 min

10Module 10 · Exam preparation

  1. How the Grade 11 Mathematics papers are built, and how to scoreExam preparation40 min
  2. A four-week revision plan, with a checklist for every topicExam preparation40 min
  3. Full paper: Mathematics Paper 1, November 2017 (with memo)Exam preparation180 min
  4. Full paper: Mathematics Paper 1, November 2018 (with memo)Exam preparation180 min
QUESTIONS

Frequently asked questions

Who is my tutor?

When you join you are matched with one of the subject's GradesPal tutors. Their notes appear in your lessons.

Does this cover both Paper 1 and Paper 2?

Yes. Paper 1 and Paper 2 are 150 marks each, and the modules follow the order the topics are taught at school.

Is this a good base for Grade 12?

Yes. Grade 11 is where algebra, functions, trigonometry and circle geometry are built; Grade 12 repeats and extends all of them.

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