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- Solving Quadratic Equations.
o Solve By Factoring.
o Solve By Taking Square Roots.
o Solve By Completing the Square.
o Solve by Using the Quadratic Formula.
- Discriminant of Quadratics.
o Discriminant of Quadratics.
- Application of Quadratic Equations.
o Pythagorean Theorem.
o Volumes.
o Area.
- Radical and Rational Exponent Equations.
o Radical Equations.
o Rational (Fractional) Exponent Equations.
o Solve Rational (Fractional) Exponent Equations.
o Using Substitution.
- Absolute Value Inequalities.
o Absolute Value Definition.
o Inequalities Notations.
o Absolute Value Inequalities.
o Solving Absolute Value Inequalities.
- Functions and Their Graphs.
o Definition of a Function.
o Identifying a Function.
o Vertical Line Test of a Function.
o Evaluating a Function.
o Domain and Range of a Function.
- More on Functions and Their Graphs.
o Increasing, Decreasing and Constant of a Function.
o Relative (Local) Maximum, Relative (Local) Minimum.
o Absolute (Global) Maximum, Absolute (Global) Minimum.
o Symmetry of a Function.
o Testing Symmetries of Function.
o Difference Quotient of Functions and it’s Evaluation.
- Combination and Composite Functions.
o Domain.
o Combination of Functions.
o Composite Functions.
- Transformation and Translation of Functions.
o Shifting of a Function.
o Reflection of a Function.
o Shrinkage of a Function.
o Stretching of a Function.
- Inverse Functions.
o Definition and Verification of Inverse Function Graphically.
o Inverse Function Notation.
o Domain and Range of Inverse Function.
o Definition and Verification of Inverse Function Algebraically.
o One-to-one Function.
o Finding the Inverse of a Function.
- Distance, Midpoint and Circles.
o Distance Formula.
o Midpoint Formula.
o Circles.
o Standard Form of the Equation of a Circle.
o General Form of the Equation of a Circle.
o Convert From General Form to Standard Form.
- Quadratic Functions.
o Forms of Quadratic Function.
o Parabola.
o Vertex of a Parabola.
o Axis of Symmetry of a Parabola.
o Maximum and Minimum of a Parabola.
o Domain and Range of a Parabola.
o Application of Quadratic Function.
- Rational Functions and Their Graphs.
o Definition of Rational Function.
o Domain of Rational Function.
o Asymptotes.
o Vertical Asymptote.
o Horizontal Asymptote.
o Oblique Asymptote.
o Discontinuity.
o Arrow Notation.
o Graphing a Rational Function.
- Exponential and Natural Exponential Functions.
o Definition of Exponential Functions.
o Definition of Natural Exponential Functions.
o Translation and Transformation of Exponential and Natural Exponential Functions and Their Graphs.
- Exponential and Natural Exponential Functions.
o Graphing Exponential and Natural Exponential Functions.
o Solving Exponential and Natural Exponential Equations.
- Logarithmic Functions.
o Definition of Logarithmic Functions Graphically and Algebraically.
o Comparing Logarithmic Functions and Exponential Functions.
o Common Logarithms and Natural Logarithms.
o Properties and Inverse Properties of Logarithms.
o Evaluation of Logarithms.
- Logarithmic Functions.
o Translation of Logarithmic Functions and Their Graphs.
o Domain of Logarithmic Functions.
o More on Properties of Logarithms.
o Change of Base Formula.
o Expanding of Logarithms.
o Condensing of Logarithms.
- Logarithmic and Exponential Equations.
o Solving Logarithmic Equations.
o Solving Exponential Equations by Using Substitution.
o More on Solving Logarithmic Equations.
- Applications of Exponential Growth & Decay.
o Definition of the Applications of Exponential Growth and Decay Functions.
o Application of Exponential Growth.
o Application of Exponential Decay.
- Applications of Exponential Growth & Decay.
o Definition of Logistic Growth Model.
o Application of Logistic Growth Model.
o Definition of Compound and Continuous Interest.
o Application of Compound Interest.
o Application of Continuous Interest.
- Systems of Linear / Simultaneous Equations in Two Variables.
o Definition of Systems of Linear / Simultaneous Equations in Two Variables.
o Solving Systems by Substitution.
o Applications of Systems of Linear / Simultaneous Equations in Two Variables.
- Systems of Linear / Simultaneous Equations in Three Variables
o Definition of Systems Linear / Simultaneous Equations in Three Variables.
o Solving the Systems of Linear / Simultaneous Equations in Three Variables.
o Applications of Systems of Linear / Simultaneous Equations in Three Variables
- Systems of Inequalities
o Definition of Systems of Inequalities
o Systems of Inequalities