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

Adding monomials and polynomials

Subtracting monomials and polynomials

Multiplying monomials

Dividing monomials

Meaning of a negative exponent and a zero exponent

Writing numbers in scientific notation

Multiplying polynomials (Distributive Property.)

Dividing polynomials
Inequalities

Graphing inequalities

Solving systems of linear inequalities

Solving inequalities in one variable.

Solving verbal problem through inequalities.
Quadratic Functions and Factoring

Graphs of nonlinear equations

Quadratic equations in two variables; Parabolas; xintercepts

Factoring and its relationship to area

Factoring quadratic trinomials

Factoring the difference of two squares

Complete factorization of a polynomial: common factors

Solving quadratic equations through factoring

Solving verbal problems with quadratic equations

Solving number and consecutive integer problems using quadratic equations

Solving area problems using quadratic equations

Solving fractional equations with integer and monomial denominators.
Right Triangles and Trigonometric Functions

Properties of a right triangle

Relations of sides and angles in a 306090 Right Triangle

Relations of sides and angles in a 454590 Right Triangle

The sine ratio and its applications

The relationship of the sine and cosine rations

Applications with the sine, cosine and tangent ratios

Using trigonometric ratios to solve problems involving the angle of elevation and depression
Irrational numbers and Pythagoras

Irrational numbers

The use of the radical sign

Simplifying radicals

Developing the Pythagorean Theorem

Applications of the Pythagorean Theorem