FabuMaths
  • High School
    • Grade 10 >
      • Grade 10 Answers
      • Algebraic Expressions
      • Algebraic Functions
      • Analytical Geometry
      • Exponents
      • Equations and Inequalities
      • Euclidean Geometry
      • Finance and Growth
      • Numbers and Patterns
      • Measurement
      • Probability
      • Statistics
      • Trigonometry
      • Trigonometric Functions
    • Grade 11 >
      • Grade 11 Answers
      • Algebraic Functions
      • Analytical Geometry
      • Equations and Inequalities
      • Exponents and Surds
      • Euclidean Geometry
      • Finance, Growth and Decay
      • Measurement
      • Numbers and Patterns
      • Probability
      • Statistics
      • Trigonometry
      • Trig Functions
    • Grade 12 >
      • Grade 12 Answers
      • Analytical Geometry
      • Calculus
      • Euclidean Geometry
      • Finance, Growth and Decay
      • Functions
      • Functions: Exponential and Logarithmic
      • Functions: Polynomials
      • Patterns, Sequences and Series
      • Probability
      • Statistics
      • Trigonometry

Check list:

  1. The concept of a function, where a certain quantity (output value) uniquely depends on another quantity (input value). Work with relationships between variables using tables, graphs, words and formulae. Convert flexibly between these representations. Note that the graph defined by \(y=x\) should be known from Grade 9.
  2. Point by point plotting of basic graphs defined by \(y=x^2\), \(y = \frac{1}{x}\) and \(y=b^x\), \(b>0\), \(b \ne 1\) to discover shape, domain (input values), range (output values), asymptotes, axes of symmetry, turning points and intercepts on the axes (where applicable).
  3. Investigate the effect of \(a\) and \(q\) on the graphs defined by \(y=a.f(x)+q\), where \(f(x)=x\), \(f(x)=x^2\), \(f(x)=\frac{1}{x}\) and \(f(x)=b^x\), \(b>0\), \(b \ne 1\).
  4. Point by point plotting of basic graphs defined by \(y = \sin \theta \), \(y=\cos\theta\) and \(y=\tan\theta\) for \(\theta  \in \left[ {{0^o};{{360}^o}} \right]\).
  5. Study the effect of \(a\) and \(q\) on the graphs defined by \(y=a\sin\theta+q\), \(y=a\cos\theta+q\); and \(y=a\tan\theta+q\) where \(a\), \(q \in \mathbb{Q}\) for \(\theta  \in \left[ {{0^o};{{360}^o}} \right]\).
  6. Sketch graphs, find the equations of given graphs and interpret graphs. Note: Sketching of the graphs must be based on the observation of number 3 and 5.

Learn the concepts:

Videos from learn.mindset.co.za
Mind Action Series: Mathematics 10 Textbook & Workbook (2011)
Exercise 11 Page 109
Mixed Revision Exercise Page 112
Some Challenges Page 117
Relevant sections in Everything Maths:
  • Trigonometric functions
  • Interpretation of graphs
  • Chapter summary
  • End of chapter exercises
Still want to learn more? Try these links:
  • A selection of videos and notes on trigonometric functions
  • A prezi (made by me) which introduces all the basics of trigonometric functions

Practice the concepts:

Download the note.
Download the note.
Mind Action Series: Mathematics 10 Textbook & Workbook (2011)
Exercise 11 Page 109
Mixed Revision Exercise Page 112
Some Challenges Page 117
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  • High School
    • Grade 10 >
      • Grade 10 Answers
      • Algebraic Expressions
      • Algebraic Functions
      • Analytical Geometry
      • Exponents
      • Equations and Inequalities
      • Euclidean Geometry
      • Finance and Growth
      • Numbers and Patterns
      • Measurement
      • Probability
      • Statistics
      • Trigonometry
      • Trigonometric Functions
    • Grade 11 >
      • Grade 11 Answers
      • Algebraic Functions
      • Analytical Geometry
      • Equations and Inequalities
      • Exponents and Surds
      • Euclidean Geometry
      • Finance, Growth and Decay
      • Measurement
      • Numbers and Patterns
      • Probability
      • Statistics
      • Trigonometry
      • Trig Functions
    • Grade 12 >
      • Grade 12 Answers
      • Analytical Geometry
      • Calculus
      • Euclidean Geometry
      • Finance, Growth and Decay
      • Functions
      • Functions: Exponential and Logarithmic
      • Functions: Polynomials
      • Patterns, Sequences and Series
      • Probability
      • Statistics
      • Trigonometry