Mathematics M112: Algebra I
E Block Welcome to Salisbury!
Centennial Room 212 Mrs. Phelps
Course Objective: Students will develop critical thinking skills and establish tools to analyze situations and solve problems that will provide them with the algebraic tools required to succeed in high school and college level mathematics. Course Description: This full-year course extends students’ knowledge and understanding of the real number system and its properties through the study of variables, expressions, equations, inequalities, and analysis of data derived from real-world applications. Emphasis is placed on making connections between numerical, graphical and symbolic approaches. Topics include linear equations and inequalities, linear systems, relations, functions, polynomials and factoring, graphs, fractional expressions and equations, radical expressions and equations, and computer applications. The skills emphasized in Algebra I provide a formal development of the algebraic skills and concepts necessary for students to succeed in advanced courses. Relevance: This course will provide a solid foundation for further study in mathematics by helping students develop computational, procedural, and problem-solving skills. To be good at mathematics, students must learn to translate real-life situations to mathematical models and obtain solutions; and Algebra I will help students develop this skill. Text: Randall, Charles et al. Algebra 1 Common Core. Boston, MA, Pearson Ed. Inc., 2012
Syllabus Overview:
Trimester I: Chapters 1-4 Chapter 3: Solving Inequalities Chapter 1: Foundations for Algebra 1. Inequalities and Their Graphs 1. Variables and Expressions 2. Solving Inequalities Using Addition or 2. Order of Operations and Evaluating Expressions Subtraction 3. Real Numbers and the Number Line 3. Solving Inequalities Using Multiplication or 4. Properties of Real Numbers Division 5. Adding and Subtracting Real Numbers 4. Solving Multi-Step Inequalities 6. Multiplying and Dividing Real Numbers 5. Working with Sets 7. The Distributive Property 6. Compound Inequalities 8. An Introduction to Equations 7. Absolute Value Equations and Inequalities 9. Patterns, Equations, and Graphs 8. Unions and Intersections of Sets Chapter 2: Solving Equations Chapter 4: An Introduction to Functions 1. Solving One-Step Equations 1. Using Graphs to Relate Two Quantities 2. Solving Two-Step Equations 2. Patterns and Linear Functions 3. Solving Multi-Step Equations 3. Patterns and Nonlinear Functions 4. Solving Equations with Variables on Both Sides 4. Graphing a Function Rule 5. Literal Equations and Formulas 5. Writing a Function Rule 6. Ratios, Rates, and Conversions 6. Formalizing Relations and Functions 7. Solving Proportions 7. Arithmetic Sequences 8. Percents 9. Change Expressed as a Percent
Trimester II: Chapters 5-8 Chapter 5: Linear Functions 1. Rate of Change and Slope 2. Direct Variation 3. Slope-Intercept Form 4. Point-Slope Form 5. Standard Form 6. Parallel and Perpendicular Lines 7. Scatter Plots and Trend Lines 8. Graphing Absolute Value Functions
Chapter 7: Exponents and Exponential Functions 1. Zero and Negative Exponents 2. Multiplying Powers with the Same Base 3. More Multiplication Properties of Exponents 4. Division Properties of Exponents 5. Rational Exponents and Radicals 6. Exponential Functions 7. Exponential Growth and Decay 8. Geometric Sequences
Chapter 6: Systems of Equations and Inequalities 1. Solving Systems by Graphing 2. Solving Systems Using Substitution 3. Solving Systems Using Elimination 4. Application of Linear Systems 5. Linear Inequalities 6. Systems of Linear Inequalities
Chapter 8: Polynomials and Factoring 1. Adding and Subtracting Polynomials 2. Multiplying and Factoring 3. Multiplying Binomials 4. Multiplying Special Cases 5. Factoring 6. Factoring 7. Factoring Special Cases 8. Factoring by Grouping
Trimester III: Chapters 9-12 Chapter 9: Quadratic Functions and Equations 1. Quadratic, Graphs, and Their Properties 2. Quadratic Functions 3. Solving Quadratic Functions 4. Factoring to Solve Quadratic Equations 5. Completing the Square 6. The Quadratic Formula and the Discriminant 7. Linear, Quadratic, and Exponential Models 8. Systems of Linear and Quadratic Equations Chapter 10: Radical Expressions and Equations 1. Pythagorean Theorem 2. Simplifying Radicals 3. Operations with Radical Expressions 4. Solving Radical Equations 5. Graphing Square Root Functions 6. Trigonometric Ratios
Chapter 11: Radical Expressions and Functions 1. Simplifying Rational Expressions 2. Multiplying and Dividing Rational Expressions 3. Dividing Polynomials 4. Adding and Subtracting Rational Expressions 5. Solving Rational Equations 6. Inverse Variation 7. Graphing Rational Functions Chapter 12: Data Analysis and Probability 1. Organizing Data Using Matrices 2. Frequency and Histograms 3. Measures of Central Tendency and Dispersion 4. Box-and-Whisker Plots 5. Samples and Surveys 6. Permutations and Combinations 7. Theoretical and Experimental Probability 8. Probability of Compound Events
Grading Guidelines: Your grade will be determined as follows: Class participation/Effort: 10% Homework: 10% Ancillaries: 10% Interactive Notebook: 10% Concept Quizzes: 10% Quizzes: 20% Unit Tests: 30%
(Following the first and third trimesters you will also take a cumulative exam that will contribute 20-25% toward that trimester’s grade.)
Class Expectations: Tardiness and absences: Students are expected to be in class, seated, with their homework completed and available for review, at the scheduled start time. Tardies and cuts will be dealt with according to school policy. Materials: For this course you are required to maintain a one-inch 3 − đ?‘&#x;đ?‘–đ?‘›đ?‘” binder with 3 dividers separating lesson notes, homework (I recommend loose leaf paper lined AND graphed), and assessments. There will be at least 1 binder check throughout the trimester which will count as quiz grade. You will also be expected to have a TI 83 or TI 84 Graphing calculator, ruler (at least 6â€?), and graph paper. All assessments must be completed in pencil. Classroom behavior: Consistent with the high expectations of every Salisbury student, private discussions, speaking without recognition and other signs of disrespect will not be tolerated. Homework Policy: Expect to have approximately 30 minutes of homework every night we have class. Your homework is to be complete, organized, and on your desk prior to the start of class. Please label all homework assignments with your name, assignment number (unit.lesson example for the first assignment in chapter one 1.2), page number and assigned problems, if applicable. Homework that is not completed and handed in the day it is due will receive a zero. Calculator Policy: You will need a TI 84/TI 84 PLUS for this course and future math courses at Salisbury School, but there will be lessons/assessments that restrict calculator use. Online Information: We will maintain an extension of our Algebra class on our class page at http://www.salisburyschool.org/ Office Hours: You can reach me by phone at ext. 5828 or via email at kphelps@salisburyschool.org. Individual extra help will be available by appointment.