ALGEBRA I FORM I Textbook: Algebra, Second Edition;Prentice Hall,00 Prerequisites: Students are expected to have a knowledge of Pre Algebra and proficiency of basic math skills including: positive and negative numbers, multiplication, division, subtraction, addition, fractions, and decimals. Course Description: This course is designed to introduce students to basic Algebra. Students will learn to manipulate and solve equations for variables. They will be able to solve real world application problems and use introductory probability, statistics, and geometry. Calculator Policy: A TI-84 Silver Edition is required for this course. During the course, students will use the calculator for investigations and to solve problems. Students will be expected to understand how to solve some problems both without the calculator and with the calculator. However, students should not expect to be able to use their calculator on every quiz, test, and homework assignment. Course Goals: 1. To introduce students into the language of mathematics.. To provide the skills necessary to simplify quantities. 3. To develop the skills necessary to solve linear and quadratic equations. 4. To prepare students for Algebra II. 5. To enable students to solve problems both with and without a calculator. Course Objectives: Upon completion of the course, students will be able to: 1. Use variables to solve problems.. Use square roots. 3. Apply the Pythagorean Theorem.
4. Manipulate variables and equations. 5. Perform the four basic operations in order to solve for a variable. 6. Use the order of operations. 7. Use the commutative, associative, and distributive properties. 8. Solve linear equations and solve linear inequalities. 9. Graph linear equations and linear inequalities. 10. Find slope, y-intercept, and equations of lines. 11. Find domain and range of a function. 1. Identify parallel, horizontal, and vertical lines. 13. Solve quadratic equations by factoring. 14. Simplify. 15. Factor. 16. Find GCF and LCM. 17. Work with absolute values. 18. Identify and recognize functions. 19. Solve a system of linear equations. Course Sequence: I. Uses of Variables. a. Variables in Sentences b. Sets and Domains c. Operations with Sets d. Variables in Expressions e. Square Roots and Variables f. Variables and Patterns g. The Pythagorean Theorem h. Variables from Tables II. Multiplication in Algebra a. Areas, Arrays, and Volumes b. Special Numbers in Multiplication c. Multiplying Algebraic Fractions d. Multiplying Rates e. Products and Powers with Negative Numbers
f. Solving ax = b g. Special Numbers in Equations h. Solving ax < b i. The Multiplication Counting Principle j. Factorials and Permutations III. Addition in Algebra a. Models and Properties of Addition b. More Properties of Addition c. The Coordinate Plane d. Two Dimensional Slides e. Solving ax + b = c f. The Distributive Property and Adding Like Terms g. The Distributive Property and Removing Parentheses h. Writing Linear Expressions i. Adding Algebraic Fractions j. Solving ax + b < c IV. Subtraction in Algebra a. Subtraction of Real Numbers b. Models for Subtractions c. Solving Sentences Involving Subtraction d. The Opposite of a Sum or Difference e. Graphing x + y = k and x y = k f. Graphing Linear Patterns g. Sums and Differences in Geometry h. The Triangle Inequalities V. Linear Sentences a. Horizontal and Vertical Lines b. Using Tables to Compare Linear Expressions c. Solving ax + b = cx + d d. Using Graphs to Compare Linear Expressions e. Using an Automatic Grapher
f. Solving ax + b < cx +d g. Equivalent Formulas h. Advanced solving Technique I: Multiplying Through i. Advanced Solving Technique II: Chunking VI. Division in Algebra a. The Algebraic Definition of Division b. Rates c. Ratios d. Relative Frequency and Probability e. Solving Percent Problems Using Equations f. Probability Without Counting g. Size Changes h. Proportions i. Similar Figures VII. Slopes and Lines a. Rates of Change b. The Slope of a Line c. Properties of Slope d. Slope-Intercept Equations for Lines e. Equations for Lines with a Given Point and Slope f. Equations for Lines through Two Points g. Fitting a Line to Data h. Equations for All Lines i. Graphing Linear Inequalities VIII. Exponents and Powers a. Compound Interest b. Exponential Growth c. Comparing Constant increase and Exponential Growth d. Exponential Decay e. Products and Powers of Powers f. Negative Exponents
g. Quotients of Powers h. Powers of Products and Quotients IX. Quadratic Equations and Square Roots a. Graphing y ax b. Graphing y ax bx c c. Quadratic Equations and Projectiles d. The Quadratic Formula e. Analyzing Solutions to Quadratic Equations f. Square Roots and Products g. Absolute Value, Distance, and Square Roots h. Distances in the Plane X. Polynomials a. What are Polynomials? b. Multiplying a Polynomial by a Monomial c. Multiplying Polynomials d. Multiplying binomials e. Special Binomial Products XI. Linear Systems a. An Introduction to Systems b. Solving Systems Using Substitution c. More Uses of Substitution d. Solving Systems by Addition e. Solving Systems by Multiplication f. Systems and Parallel Lines g. Systems of Inequalities XII. Factoring a. Factoring Integers into Primes b. Common Monomial Factoring c. Factoring x bx c
d. Solving Quadratic Equations by Factoring e. Factoring ax bx c f. Rational Numbers and Irrational Numbers g. Which Quadratic Expressions Are Factorable? XIII. Functions a. What is a Function? b. Function Notation c. Absolute Value Functions d. Domain and Range Evaluation: assignments. Students are evaluated through quizzes, chapter tests, chapter projects, and homework