Grade 12 Topics

Term 1 Week 1-3: Patterns, sequences, series
 
Term 1 Week 4-6: Functions
 

Definition of a function

- Textbook

- Introduction to functions

- Online Learning

 

Inverse of a function 

- Textbook

- Definition of inverse

- Explanation and examples

 

Graphs of the inverses of the functions    

- Textbook

- Basic Explanation

- Geogebra Tube

- Video

 

Inverse of a parabola: y = ax^2

Textbook

- Math Centre explanation

- Restricted functions

- Powerpoint downloads

 

 

Term 1 Week 7: Functions: Exponential and Logarithm
 
Term 1 Week 8-9: Finance, Growth and Decay
 

Calculating the period of an investment

-  Textbook

 

Annuities

- Textbook

 

Future value annuities

- Textbook

- Future value calculater, check your answer

 

Annuity

- Formula

- Examples

 

Present value annuitie

Textbook

 

Analysing investment and loan options

- Textbook

- Present value formula

- Present value of an annuity, using P formula

- Worksheet

- Buying a house

- Geogebra Tube

 

Term 1 Week 10-11: Trigonometry
 
Term 2 Week 1-2: Trigonometry: Solve 3-d problems
 

Trigonometry: Solve 3D problems

- Textbook

- Worksheet 1

- Worksheet 2

- Law of sine, revision

- Law of cosine, revision

Term 2 Week 3: Functions: Polynomials
 

Cubic Polynomials

- Textbook

 

Remainder theorem

- Textbook

 

Factor theorem

- Textbook

- Explanation and examples

 

Solving cubic equations

- Textbook

- Cubic function

- Video Long division

- "how to avoid long division"

- Methods for solving cubic equations

- Examples, pdf

 

Term 2 Week 4-6: Differential Calculus
 
Term 2 Week 7-8: Analytical Geometry
 
Term 3 Week 1-2: Euclidean Geometry
 

Ratio and proportion

- Textbook

- First glance

- Working with proportions

- Examples

- Aptitude Questions and Answers

- One Minute Video

 

Proportionality in polygons

- Textbook

- Identifying

 

Proportionality of triangles

- Textbook

- Example 1

- Example 2

- Online Quiz

- Geogebra Tube

 

Similarity

- Textbook

- Similar Triangles

- Worksheet

- Video

- Geogebra Tube

 

Term 3 Week 3: Statistics: Regression and Correlation 
 
Term 3 Week 4-5: Counting and Probability
 
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