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Summer 2009

Week

Objectives

General Outline

1

April 27

 

Review the course syllabus, required textbook, and references.
Fractions.
Exponents, Order of Operations, and  Inequality.
Variables, Expressions, and Equations.
Real Numbers and the Number Line.
Adding and Subtracting Real Numbers.
Multiplying and Dividing Real Numbers.
Properties of Real Numbers.
Simplifying Expressions

Introduction
The Real Number System

2

May 4

 

The Addition Property of Equality.
The Multiplication Property of Equality.
More on Solving Linear Equations.
An Introduction to Applications of Linear Equations.
Formulas and Applications from Geometry.
Ratios and Proportions.
Further Applications of Linear Equations.
Solving Linear Inequalities

Linear Equations and Inequalities in One Variable

3

May 11

Reading Graphs; Linear Equations in Two Variables.
Graphing Linear Equations in Two Variables.
The Slope of a Line.
Equations of a Line.
Graphing Linear Inequalities in Two Variables.
Introduction to Functions

Linear Equations and Inequalities in Two Variables; Functions

4

May 18

Solving Systems of Linear Equations by Graphing.
Solving Systems of Linear Equations by Substitution.
Solving Systems of Linear Equations by Elimination.
Applications of Linear Systems.
Solving Systems of Linear Inequalities

Systems of Linear Equations and Inequalities

5

May 25

The Product Rule and Power Rules for Exponents.
Integer Exponents and the Quotient Rule.
An Application of Exponents: Scientific Notation.
Adding and Subtracting Polynomials; Graphing Simple Polynomials  

Exponents and Polynomials

6

June 1

 

Multiplying Polynomials.
Special Products.
Dividing Polynomial.
The Greatest Common Factor; Factoring by Grouping.
Factoring Trinomials.
More on Factoring Trinomials 

Exponents and Polynomials
Factoring and Applications

7

June 8

Special Factoring Techniques.
Solving Quadratic Equations by Factoring.
Applications of Quadratic Equations

Factoring and Applications

8

June 15

The Fundamental Property of Rational Expressions.
Multiplying and Dividing Rational Expressions.
Least Common Denominators.
Adding and Subtracting Rational Expressions

Rational Expressions and Applications

9

June 22

Review for the Mid-Term Exam.
MID-TERM Exam

MID-TERM Exam

10

June 29

School Closed
Summer Break

 

11

July 6

Complex Fractions.
Solving Equations with Rational Expressions.
Applications of Rational Expressions.
Variation

Rational Expressions and Applications

12

July 13

Evaluating Roots.
Multiplying, Dividing, and Simplifying Radicals.
Adding and Subtracting Radicals.
Rationalizing the Denominator

Roots and Radicals

 

13

July 20

More Simplifying and Operations with Radicals.
Solving Equations with Radicals.
Using Rational Numbers as Exponents

Roots and Radicals

14

July 27

Solving Quadratic Equations by the Square Root Property.
Solving Quadratic Equations by Completing the Square

Quadratic Equations

15

August 3

Solving Quadratic Equations by the Quadratic Formula.
Complex Numbers.
More on Graphing Quadratic Equations; Quadratic Functions

Quadratic Equations

16

August 10

Review for the Final Exam

Final Exam

FINAL EXAM

 

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