Math III Syllabus

Math III Syllabus:

The following is an outline of the topics that are covered in Math III in my classroom. Each of my students has access to a TI-84 plus calculator. We use graphing calculators to explore the concepts of Math III.

Course Outline:

Functions and Their Inverses
 Piecewise functions and absolute value functions
 Inverse functions of quadratics, exponential, and linear functions

Exponential and Logarithmic Functions

 Solve exponential and logarithmic equations
 Recognize relationship between exponential and logarithmic equations as inverses using
multiple representations and interpret the key features of a graph.

Polynomial Functions
 Recognize parts of a polynomial, and apply the Fundamental Theorem of algebra to
determine the types and number of solutions.
 Understand and apply the Remainder theorem, the Factor Theorem, and the Division
Algorithm.
 Create polynomial equations in one or two variables and use them to solve problems
algebraically and graphically.
 Recognize and compare key features, zeros, and transformations of polynomial
functions.

Modeling with Geometry
 Derive the equation of a circle as well as distinguishing the center and radius of a circle
from an equation.
 Implement surface area and volume of geometric figures and model polynomial
functions.

Rational Functions
 Recognize rational expressions as the division of two polynomials and use properties of
simple fractions to analyze, perform arithmetic operations, create and solve equations
that model real world phenomena.

Reasoning with Geometry
 Construct logical arguments and explain reasoning with two-dimensional figures to
prove geometric theorems.
 Understand properties of circles and how to apply them algebraically and geometrically.

Trigonometric Functions
 Understand trig functions are related to circular trig functions in the coordinate plane.
 Interpret key features that model real world periodic behavior.

Statistics
 Understand stats as a process of making inferences about population.
 Understand simulation is useful for using data to make decisions.
 Understand that samples can differ by chance.
 Understand that not all data that is reported is valid.
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