DEPARTMENT: Mathematics DATE: 2009-2010
COURSE TITLE: Algebra I Honors COURSE NUMBER: 5130
o YEAR QPA: 5.0
o SEMESTER CREDITS: 5
TEXTBOOK: (Title, Author, Publisher, Edition)
McDougal Littell Algebra I (Both print and electronic editions), Larson, Boswell, Kanold, & Stiff, McDougal Littell Inc., 2001
MATERIALS USED: TI-84 Plus graphing calculators, IBM ThinkPad, supplementary
materials supplied by McDougal Littell and other resources
GOALS:
1. To achieve mastery of the symbolic language of algebra as a foundation for all other mathematics courses.
2. To provide a challenging honors level approach preparatory for future honors level courses.
3. To prepare students for the Math portions of the SAT.
4. To demonstrate the relevance of algebraic problem solving to the real world.
5. To use graphing calculators and modern computer graphics to analyze, solve, visualize, and clarify mathematical concepts.
CONTENT OF COURSE:
FIRST SEMESTER
Unit 1: Introduction to Algebra
Review of fraction operations.
Translating verbal phrases into algebraic
Evaluating expressions using prescribed order of operations and absolute value
Add, subtract, multiply and divide signed numbers
Creating models that represent real-life situations with concomitant unit analysis
Introduction to functions
Probability
Unit 2: Solving Linear Equations
Solving equations at all levels of difficulty using inverse operations
Single solution, infinite solutions, no solution equations
Solving rational equations
Formulas and functions
Rates, ratios, and percents
Real-life application problems
Unit 3: Graphing Linear Equations and Functions
Plotting points in a coordinate plane
Graphing linear equations
The slope of a line
Direct variation
Functions and relations
SECOND SEMESTER
Unit 4: Linear Equations and Linear Inequalities
Writing linear equations given pertinent information about the graph of the function
Forms of a linear equation
Predicting with linear models
Solving linear inequalities and compound inequalities
Graphing linear inequalities in two variables
Solving linear systems by graphing, substitution, or linear combination
Real-life application problems
Unit 5: Exponents and Exponential Functions
Multiplication and division properties of exponents
Zero and negative exponents
Graphing exponential functions
Unit 6: Polynomials
Definition and standard form of a polynomial
Classifying polynomials by degree and number of terms
Addition, subtraction and multiplication of polynomials
Using the distributive property to factor polynomials
Factoring trinomials
Factoring difference of two squares pattern
Unit 7: Applications of Factoring
Using factoring to solve quadratic equations
Using factoring to simplify rational expressions
Using factoring to multiply and divide rational expressions
Adding and subtracting rational expressions with like denominators
Unit 8: Rational Equations and Functions
Ratio and proportion
Solving percent problems
Algebra I Honors Proficiencies
Core course proficiencies (present in all units)
Students will be able to…
Algebra I Unit Proficiencies:
Students will be able to…
Unit 1: Introduction to Algebra
Unit 2: Linear Equations and Inequalities
Unit 3: Graphing Linear Equations and Functions
Unit 4: Linear Equations and Linear Inequalities
Unit 5: Exponents and Exponential Functions
Unit 6: Polynomials
Unit 7: Applications of Factoring
Unit 8: Rational Equations and Functions
Recognize a proportion and successfully apply the cross product property to solve it
Recognize problematic situations that lend themselves to a proportion approach.
Write a proportion to model a real life situation and execute its solution.
Check solution(s) and determine if solution really does satisfy original equation or is extraneous.
Write equations to solve all types of percent problems.