Grade 10

1 unit. Algebra

  1. Exponents. Laws of exponents. WS#1,(answers), WS#2, (answers), ppt

  2. Rational exponents. WS , PPT

  3. Algebraic expansion and factorisation

  4. Exponential equations

  5. Number sequences.

  6. Arithmetic sequences. Arithmetic series

  7. Arithmetic sequences and series Practice

  8. Geometric sequences. Geometric series

  9. Geometric sequences and series Practice

  10. Compound interest.

  11. Infinite geometric sequences

  12. Logarithms. Laws of Logarithms



2 unit. Functions

  1. Linear Function

  2. Domain and range

  3. Quadratic function

  4. Solving quadratic with factorization

  5. Solving by formula and completing the square

  6. Discriminant. Graph transformation

  7. Finding equation from given graph

  8. Inequalities

  9. Domain and range grafically, using GDC

  10. Transformations

  11. Reciprocal function

  12. Inverse function

3 unit. Trigonometry

1. Periodic behaviour

2. Sine function

3. The graph of sinx

4. Modelling using sine functions

5. GDC usage

6. Cosine function and modelling cosine function

7. Simplification of trigonometric equations.

4 unit. Vectors

1.Vectors and scalars.

2.Vectors equality.

3.Addition, subtraction of vectors. (graphically)

4.Vectors in component form.

5.Addition, subtraction and scalar multiplication of vectors (algebraic).

6.Parallelism of vectors.

7.Position vectors on the Cartesian plane.

8.Dot product.

9. Unit vectors

10. Base unit vectors and standart basis

11. Angle between vectors

5 unit. Probability

1. Sample space

2. Tables of outcomes

3. List method

4. Tree diagram method

5. 2-D grid method

6. Compound event

7. Conditional probability

8. Dependent, independent events, ws, ppt , video

9. Laws of probabilities ws, ppt, video

10. Counting principles,

11. Factorials

12. Permutations

13. Combinations

6 unit. Exam preparation