Course Content

1.1 Polynomials

1.2 Remarkable identities

1.3 Polynomial division

1.4 Factoring a polynomial

1.5 Rational expressions

1.6 Second degree equations

1.7 Second degree inequalities

2.1 Properties of functions

2.2 Transformations of graphs

2.3 Parameters of a function

3.1 Polynomial functions

3.2 Constant functions

3.3 Linear functions

3.4 Quadratic functions- Standard form

3.5 Quadratic functions- General form

3.6 Quadratic functions- Factored form

4.1 Step function

4.2 Greatest integer of a real number

4.3 Basic greatest integer function

4.4 Transformed greatest integer function

5.1 Distance between two points

5.2 Mid-point of a segment

5.3 Slope of a line

5.4 Intercepts of a line

5.5 Functional form of the equation of a line

5.6 General form of the equation of a line

5.7 Symmetric form of the equation of a line

5.8 Finding the equation of a line

5.9 Distance from a point to a line

5.10 Regions of the cartesian plane

5.11 Analytic geometry problems

6.1 System of two first degree equations in two variables

6.2 Algebraic solving of a two-variable first degree system

6.3 Semi-linear system of equations: one linear and one quadratic

6.4 Problems on systems

7.1 Angles and triangles

7.2 Isometric triangles

7.3 Similar triangles

7.4 Solving geometric problems

7.5 Metric relations in a right triangle

8.1 Trigonometric rations

8.2 Remarkable trigonometric ratios

8.3 Sine and cosine laws

8.4 Area of a triangle

9.1 Area and volume of solids

9.2 Equivalent plane figures

9.3 Equivalent solids

9.4 Comparing polygons

9.5 Comparing solids

__Chapter 1:__Algebraic Expressions1.1 Polynomials

1.2 Remarkable identities

1.3 Polynomial division

1.4 Factoring a polynomial

1.5 Rational expressions

1.6 Second degree equations

1.7 Second degree inequalities

__Chapter 2:__Functions2.1 Properties of functions

2.2 Transformations of graphs

2.3 Parameters of a function

__Chapter 3:__Polynomial Functions3.1 Polynomial functions

3.2 Constant functions

3.3 Linear functions

3.4 Quadratic functions- Standard form

3.5 Quadratic functions- General form

3.6 Quadratic functions- Factored form

__Chapter 4:__Greatest integer function4.1 Step function

4.2 Greatest integer of a real number

4.3 Basic greatest integer function

4.4 Transformed greatest integer function

__Chapter 5:__Analytic geometry5.1 Distance between two points

5.2 Mid-point of a segment

5.3 Slope of a line

5.4 Intercepts of a line

5.5 Functional form of the equation of a line

5.6 General form of the equation of a line

5.7 Symmetric form of the equation of a line

5.8 Finding the equation of a line

5.9 Distance from a point to a line

5.10 Regions of the cartesian plane

5.11 Analytic geometry problems

__Chapter 6:__Systems of equations6.1 System of two first degree equations in two variables

6.2 Algebraic solving of a two-variable first degree system

6.3 Semi-linear system of equations: one linear and one quadratic

6.4 Problems on systems

__Chapter 7:__Triangles7.1 Angles and triangles

7.2 Isometric triangles

7.3 Similar triangles

7.4 Solving geometric problems

7.5 Metric relations in a right triangle

__Chapter 8:__Trigonometry8.1 Trigonometric rations

8.2 Remarkable trigonometric ratios

8.3 Sine and cosine laws

8.4 Area of a triangle

__Chapter 9:__Equivalent figures9.1 Area and volume of solids

9.2 Equivalent plane figures

9.3 Equivalent solids

9.4 Comparing polygons

9.5 Comparing solids