Catholic Central High School Course: Algebra 1 Department: Mathematics Length: 1 year (Ninth Grade) Credit: 1 1. Prerequisites: Entrance Examination Score, Teacher Recommendation (Eighth Grade, Summer School) 2. Textbooks 2.1 Primary: Course Packs (distributed at school) 2.2 Secondary: Larson, Ron et al. Algebra 1. Evanston, IL: McDougall Littell, 2007. 3. Course Goals and Objectives: Symbolic reasoning and calculations with symbols are central in algebra. Through the study of algebra, a student will develop an understanding of the symbolic language of mathematics and the sciences. In addition, algebraic skills and concepts are developed and used in a wide variety of problem-solving situations. 4. Course Description: 4.1 General Overview: Algebra 1 students will incorporate fundamental math with abstract ideas (letters in place of numbers), use of patterns, generalizations, solving linear and quadratic equations, graphing, simplifying radicals, and solving word problems. This course is a prerequisite for Plane Geometry in Tenth Grade. 4.2 Itemized Details of Course Content: 4.2.a First Quarter: Review of Fractions and Decimals Order of Operations Integer Operations Polynomial Operations (Addition, Subtraction, Simplification) Evaluating Expressions Solving Linear Equations Word Problems – Number Word Problems – Coin Graphing Inequalities on a Number Line Simplifying Absolute Value Expressions Solving Absolute Value Equations 4.2.b Second Quarter: Solving Absolute Value Inequalities Simplifying Exponential Expressions Multiplying Polynomials Factoring Polynomials Part 1 Quadratic Equations Part 1 Word Problems – Age Word Problems – Investment Operations with Rational Expressions Polynomial Long Division Ratio and Proportion Polynomial Factoring by Grouping Simplifying Complex Fractions Writing Quadratic Equations Given the Roots Solving Rational Equations 4.2.c Third Quarter Word Problems – Percent Word Problems – Mixture Word Problems – Percent Mixture Operations with Irrational Numbers Radical Equations Variation Probability and Statistics Pythagorean Theorem Trigonometry 4.2.d Fourth Quarter Solving Systems of Linear Equations Word Problems – Two Variables Word Problems – Digits Graphing Linear Equations Types of Linear Equations Writing Linear Equations (Emphasis on Standard Form) Functions Quadratic Equations Part 2 Word Problems – Work 5. Course Assignments and Requirements 5.1 Frequency of Tests: Tests and quizzes are given frequently throughout each quarter based on teacher discretion. 5.2 Frequency of Assignments: Homework is given nearly every night, as practice and review is the best way to master algebraic concepts. 5.3 Grading: The grading scale is described the Student/Parent Handbook and is based on tests, quizzes, homework, and other projects.