Math A - Semester 3

The following is a tentative list of topics which will be covered in M$3. The order in which they will be covered may change and some related topics may be added while others may be removed.

Operations with polynomials

1. Adding monomials and polynomials
2. Subtracting monomials and polynomials
3. Multiplying monomials
4. Dividing monomials
5. Meaning of a negative exponent and a zero exponent
6. Writing numbers in scientific notation
7. Multiplying polynomials (Distributive Property.)
8. Dividing polynomials

Inequalities

1. Graphing inequalities
2. Solving systems of linear inequalities
3. Solving inequalities in one variable.
4. Solving verbal problem through inequalities.

Quadratic Functions and Factoring

1. Graphs of non-linear equations
2. Quadratic equations in two variables; Parabolas; x-intercepts
3. Factoring and its relationship to area
4. Factoring quadratic trinomials
5. Factoring the difference of two squares
6. Complete factorization of a polynomial: common factors
7. Solving quadratic equations through factoring
8. Solving verbal problems with quadratic equations
9. Solving number and consecutive integer problems using quadratic equations
10. Solving area problems using quadratic equations
11. Solving fractional equations with integer and monomial denominators.

Right Triangles and Trigonometric Functions

1. Properties of a right triangle
2. Relations of sides and angles in a 30-60-90 Right Triangle
3. Relations of sides and angles in a 45-45-90 Right Triangle
4. The sine ratio and its applications
5. The relationship of the sine and cosine rations
6. Applications with the sine, cosine and tangent ratios
7. Using trigonometric ratios to solve problems involving the angle of elevation and depression
   

Irrational numbers and Pythagoras

1. Irrational numbers
2. The use of the radical sign
3. Simplifying radicals
4. Developing the Pythagorean Theorem
5. Applications of the Pythagorean Theorem