Tsai's Math On Line Program


Foundation and Contents: Level 8


 

Level 8-Fall

Foundation:

             (a) Pre algebra:

                  1. Writing equations

                    2. Solving equations

                    3. Applied to problem solving

        (b) Linear Equation in two variables (Graph, Slope, Intercept)

        (c) Square Roots

Contents:

   (A) Algebra   (a) Working with Polynomials

                        1. Addition & Subtraction

                        2. Multiplication & Division

                        3. Factoring

       (b) Equations with Two Variables

       (c) Function

       (d) Solving Problem with Two Variables

       (e) Inequalities in Combining Open Sentence

       (f) Solving Two Variable Equations

       (g) Application of Two Variable Equations

       (h) Inequalities in Two Variables

       (i) Exponent (+, ‒ , x, and ÷ )

 

  (B) Review     (a) Solving equations with one variable

                          (b) Solving equations with two variables

                          (c) Applied algebra to problem

                          (e) Ratio and Proportion with Algebra       

                          (f) Square roots (+, ‒ , x, and ÷ )

 

Level 8-Spring

Foundation:

           (a)   Pre algebra:

                  1. Writing equations

                    2. Solving equations

                    3. Applied to problem solving

          (b) Working with Polynomials

                    1. Addition & Subtraction

                     2. Multiplication & Division

                     3. Factoring

Contents:

             (A) Algebra    (a) Exponents and Radicals

                                     (b) Exponential Functions

                                     (c) Introduction of Quadratic Function and graph

                                      (d) Factoring Polynomials

                                      (e) Solving Quadratic Equations

                                      (f) Algebraic Fractions

                                      (g) Application of Quadratic Equations

                                      (i) SAT

 

                (B) Review   (a) Radical Number ( +, - , x, ÷)

                                      (b) Solving Two Variable Equations

                                      (c) Application of Two Variable Equations