Course Content
Chapter 1: Algebraic Expressions
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
Chapter 2: Functions
2.1 Properties of functions
2.2 Transformations of graphs
2.3 Parameters of a function
Chapter 3: Polynomial Functions
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
Chapter 4: Greatest integer function
4.1 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 geometry
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
Chapter 6: Systems of equations
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
Chapter 7: Triangles
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
Chapter 8: Trigonometry
8.1 Trigonometric rations
8.2 Remarkable trigonometric ratios
8.3 Sine and cosine laws
8.4 Area of a triangle
Chapter 9: Equivalent figures
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 Expressions
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
Chapter 2: Functions
2.1 Properties of functions
2.2 Transformations of graphs
2.3 Parameters of a function
Chapter 3: Polynomial Functions
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
Chapter 4: Greatest integer function
4.1 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 geometry
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
Chapter 6: Systems of equations
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
Chapter 7: Triangles
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
Chapter 8: Trigonometry
8.1 Trigonometric rations
8.2 Remarkable trigonometric ratios
8.3 Sine and cosine laws
8.4 Area of a triangle
Chapter 9: Equivalent figures
9.1 Area and volume of solids
9.2 Equivalent plane figures
9.3 Equivalent solids
9.4 Comparing polygons
9.5 Comparing solids