Course Title: Algebra 1 - Algebra I – Glencoe 2005
I. An Introduction to Algebra (Chapter 1) 10-15 days
A. Variables and Expressions
B. Order of Operations
C. Identity and Equality Properties
D. Distributive Property
E. Commutative and Associative Properties
II. Real Numbers (Chapter 2) 10-15 days
A. Integers
1. Number line
2. Adding and Subtracting Integers
B. Rational Numbers
1. Comparing and Ordering Rational Numbers
2. Adding and Subtracting Rational Numbers
3. Multiplying and Dividing Rational Numbers
C. Square Roots and Real Numbers
III. Solving Linear Equations (Chapter 3) 15-20 days
A. Solving equations
1. Using addition
2. Using subtraction
3. Using multiplication/division
B. Solving equations using more that one operation
C. Applications of Rational Numbers (weighted averages)
1. Solving Problems with a Chart
2. Solving Mixture Problems
3. Solving Uniform Motion Problems
IV. Graphing Relations and Functions (Chapter 4) 10-15 days
A. Ordered pairs in the Cartesian Plane
B. Relations
C. Finding Equations from Relations
D. Graphing Linear Relations
E. Functions
V. Analyzing Linear Equations (Chapter 5) 10-15 days
A. Slope of a line
B. Point-Slope and Standard Forms of Linear Equations
C. Slope-Intercept Form of Linear Equations
D. Graphing Linear Equations
E. Parallel and Perpendicular Lines
F. Using Graphs
VI. Solving Linear Inequalities (Chapter 6) 10-15 days
A. Solving Inequalities
1. Addition/Subtraction
2. Multiplication/Division
B. Solving Inequalities with more that one operation
C. Compound Inequalities
I. Solving Systems of Linear Equations (Chapter 7) 10-15 days
A. Graphing systems of Equations
B. Substitution Method
C. Addition/Subtraction Method
D. Linear Combination Method
II. Polynomials (Chapter 8) 15-20 days
A. Multiplying monomials
B. Dividing Monomials
C. Scientific Notation
D. Polynomials
1. Adding and subtracting polynomials
2. Multiplying polynomials
III. Factoring (Chapter 9) 15-20 days
A. Factors and Greatest Common Factors
B. Factoring using the Distributive property
C. Factoring Polynomials
1. Factoring by Grouping
2. Factoring trinomials
3. Factoring special polynomials
D. Solving Equations by Factoring
IV. Rational Expressions and Equations (Chapter 12) 15-20 days
A. Simplifying Rational Expressions
B. Operations with Rational Expressions
1. Multiplication
2. Division
3. Addition and Subtraction
C. Dividing Polynomials
D. Complex Fractions
E. Solving Equations with Rational Expressions
V. Radical Expressions and Quadratics (Chapter 11 and 13) 10-15 days
A. Simplifying Square Roots
B. Operations with Radicals
C. Solving Radical Equations
D. Solving Quadratic Equations Using the Quadratic Formula
VI. Statistics (Chapter 13) (Optional as Time Allows)
A. Statistics and Line Plots (5-7)
B. Stem and Leaf Plots (2-5)
C. Measures of Central Tendency (2-5)
D. Measures of Variation (13-4)
E. Box and Whisker Plots
F. Scatter Plots