Solving Linear Equations Graphically - Here are the detailed notes from the introductory lesson on solving equations using the graphing calculator.  If a little review is needed for solving linear equations by hand, see the "Solving Linear Equations" document in the Resources for Help and Review.

Solving Polynomial Equations - This is a brief review of a strategy for solving polynomial equations.  This does assume that the reader understands the Rational Root Theorem and synthetic division.

Solving Systems with Matrices - There are many ways to solve systems of equations, but using the reduced row-echelon form in the calculator is most convenient for ones with more than two variables.  The notes here are a summary of the steps used in class.

Optimization with Linear Programming - Maximizing and/or minimizing functions under certain restrictions is an important concept not only in this course, but all of mathematics (and beyond).  This document provides an overview for the process of linear programming to solve such an application.  It includes one example.  Another example can be found on the Algebra 2 page (click here to go straight to that document).

Common Parent Functions - There are several parent functions that are used in algebra.  This document highlights the more common ones, including some of their properties.

Graph Analysis - This is a little summary of the basic graph analyses we have been doing in class lately.  It certainly doesn't cover every scenario, but it should help a little.

Function Transformations - This site from Hofstra University provides information and practice on function transformations (don't let the Calculus Applied to the Real World title scare you... it's just algebra here). If you would like to try something a little more basic to start with, PurpleMath has this tutorial with practice.

Trigonometry Vocabulary - The first several trigonometry lessons are packed with vocabulary, and this table provides a list of many of the terms used in class.  Also, here is a copy of the blank sheet used in class,

Unit Circle - This is a completed unit circle for reference in class.  If you would like a blank one to practice with, I found this copy from another teacher.

Evaluating Trigonometric Ratios - This is an overview of the techniques we have used in class when finding the trigonometric function values at any angle.  It also includes a few visual tips and shortcuts.  While we are at it, here is the completed table of the common trigonometric values.

 

Solving Trigonometric Equations - Here is the strategy referenced in class for solving most of the "factorable" trigonometric equations presented in the course.

 

Solving Triangles - Here is a little summary of the notes presented in class on the Laws of Sines and Cosines.

Calculator Basics - Most students become familiar with the graphing calculator in Algebra 2.  If not - or you've simply forgotten a few things - this document is a step-by-step guide for a few of the functionalities that we use in class.  In particular, this document illustrates how to enter lists of data, create a scatter plot, and find the line of best fit.

 

Excel Basics - Some of the activities in class require the use of Excel for graphing and/or finding model equations.  This document walks those unfamiliar with the software through a linear example.  Note:  this is currently assuming the 2003 version of Excel... I'll update it for 2007 eventually.

 

Solving Linear Equations - This document outlines a strategy for solving practically any linear equation in one variable.  It includes several examples along with a few tips at the end.

Graphing Linear Equations - This is a brief review of a strategy for graphing linear equations.

 

Writing Linear Equations - Here is a graphic organizer to help with writing linear equations.

 

Factoring Review - This document offers a strategy for factoring basic polynomials using the major techniques from Algebra 1.  If you would like something a little more in depth, check out this tutorial from West Texas A&M.

 

Systems of Equations in Two Variables - Here is a review on solving basic systems of linear equations.  It includes one example of each type of system (one solution, infinitely many solutions, and no solution) solved three different ways (graphically, substitution, and elimination).

 

Polynomial Function Behavior - Here are my solutions to the review problems given in class.

 

Graph Behavior Review - Several students asked me to post these answers to review for the quiz, so here it is.  It is the assignment that reviewed the graph behavior of rational, exponential, and logarithmic functions.

 

Special Right Triangles - Here is a page that provides quite a bit of practice with those six trigonometric ratios.

 

Solving Triangles - Some asked for the answers to be posted to the mixed practice involving the Laws of Sines and Cosines, so here you go!

 

Unit 1 Review - Here are the answers to the review problems on the unit for equations and inequalities.  If you would like a blank copy, click here.

 

Unit 2 Review - Here are the answers to the review problems on the unit for systems of equations and inequalities.  If you would like a blank copy, click here.

 

1st Quarter Review - This is a list of specific learning targets that will be revisited on the quarter test.  Each objective is followed by a list of similar questions from previous quizzes and tests.

 

Unit 3 Review - Here are the review problems and solutions on the unit for functions.  This one is a single file with the blank handout on the first page and the answers on the following pages.

 

Unit 4 Review - Here are the review problems and solutions on the unit for variation and data modeling.  The blank handout is the first page and the answers follow.

 

1st Semester Exam Review - This is a set of review problems similar in concept to those on the midterm exam.

 

Unit 5 Review - Here are the review problems and solutions on the unit for sequences and series.  The blank handout is the first page and the answers are on the second page.

 

Unit 6 Review - The review problems for this unit were taken from the textbook, so all the answers can be found in the back of the book.  Attached are the same answers, but some problems have a few extra steps added for clarification.

 

3rd Quarter Review - This is a list of specific learning targets that will be revisited on the quarter test.  Each objective is followed by a list of similar questions from previous quizzes and tests.

 

Unit 7 Review - These are the answers to the two review worksheets we had for this unit.

 

Unit 8 Review - The review problems for this unit were taken from the textbook, so all the answers can be found in the back of the book.  Attached are the same answers, but the problems have a few extra steps added for clarification.

 

2nd Semester Exam Review - Here is the review packet for the final exam.  Answers to the problems are provided on the last page.