Unit 1:  Linear Programming and Matrices
In this unit, students will explore new methods for solving multi-variable problems. Students will develop strategies for solving optimization problems using linear programing.  Other tasks will involve applications of matrices.  Topics covered in this unit include vertex edge graphing, operations with matrices, solving systems with matrices, using matrices to code and decode messages.

Unit 2:  Right Triangles, Circles, and Spheres
In this unit, students will explore properties of special right triangles and apply those to trig ratios.  We will also use trig ratios to find missing sides and angles of any right triangle.  We will write equations for and graph circles and find tangent lines.  We will solve systems involving circles and end with 3-D applications of midpoint and equations of spheres and planes.

Unit3:  Polynomials    
Part I:  Describing Polynomials
Students will describe graphs of polynomial functions.  We will graph functions given equations, find zeros, describe end behavior, find domain and range, and give intervals of increase and decrease.

Part II:  Solving Polynomials
Students will find all real and complex roots of higher degree polynomials using the Factor Thm., Remainder Thm., the Rational Root Thm., and the Fundamental Thm. of Algebra.

Unit 4:  Exponents and Logs
Students will simplify exponential expressions, graph exponential functions, and solve exponential word problems.  We will also convert between exponential and log form, use properties of logs to solve problems, solve word problems using log/ln, graph logs, and solve logistics problems. 

Unit 5:  Data Analysis
Students will make informal inferences about population means and standard deviations given sample  data.  They will create probability histograms of discrete random variables, using both experimental and theoretical probabilities.  Students will solve problems involving probabilities by interpreting a normal distribution as a probability histogram for a continuous random variable.  They will also determine the differences between experimental and observational studies by posing questions and collecting, analyzing and interpreting data.

Unit 6:  Conics
Students will investigate relationships between lines and circles.  They will recognize, analyze, and graph equations of conic sections.

A TENTATIVE calendar for this unit is attached.  You may use this as a guide, but assignments may change.  Please refer to assignments posted on white board.\

 

To print Graph paper, go to http://www.printfreegraphpaper.com/

 

The study guide attached below does not include examples.  If you are looking for examples, view the entire document at the link above.