Mathematics Prince George s County Public Schools SY

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1 ALGEBRA 2 Mathematics Prince George s County Public Schools SY Prerequisites: Geometry Credits: 1.0 Math, Merit CLASS MEETS: Every other day for 90 minutes TEXT: Algebra 2, Prentice Hall Algebra 2 provides students with hands-on experiences to support the extension of applications of skills and concepts related to expressions and functions, graphs of functions, algebraic manipulations of functions, matrices, systems of equations, linear, quadratic, exponential, logarithmic, polynomial, and rational functions and the study of the complex number system. Students will be asked to solve real life problems and make connections to other disciplines. INTRODUCTION: In mathematics, continuous practice is paramount to mastering the concepts. Practice requires a tremendous amount of effort on the student s part. Each student should expect to dedicate 2-3 hours of studying for every hour in class. Some hints for success in a Math class include: attending class daily, asking questions in class, and thoroughly completing all the homework problems with detailed solutions as soon as possible after each class session. CALCULATORS The use of a graphing calculator is required. While participants may use any graphing calculator, the instruction in the course requires the TI-83 or TI-84. Knowledge and competence in the use of other graphing calculators will be the sole responsibility of the student. GRADING: Your grade will be computed from the following categories: class work, homework, and assessment. The following weighted average will be used to calculate your grade. Category Brief Description Grade Percentage CLASS WORK/ GROUP PARTICIPATION HOMEWORK ASSESSMENT THIS INCLUDES ALL WORK COMPLETED IN THE CLASSROOM SETTING. INCLUDING: NOTEBOOKS, WARM-UPS, VOCABULARYWRITTEN RESPONSES TO CONSTRUCTED RESPONSES (BCR/ECR) WHERE APPLICABLE, GROUP DISCUSSION, ACTIVE PARTICIPATION IN MATH PROJECTS, COMPLETION OF ASSIGNMENTS THIS INCLUDES ALL WORK COMPLETED OUTSIDE THE CLASSROOM TO BE GRADED ON ITS COMPLETION AND STUDENT S PREPARATION FOR CLASS (MATERIALS, SUPPLIES, ETC.) ASSIGNMENTS CAN INCLUDE, BUT NOT LIMITED TO: PROBLEM OF THE WEEK, FRIDAY NIGHT HOMEWORK THIS CATEGORY ENTAILS BOTH THE TRADITIONAL (EXAMS AND QUIZZES) AND ALTERNATIVE (PRESENTATIONS, PROJECTS, PORTFOLIOS) METHODS OF ASSESSING STUDENT LEARNING. EXAMS, QUIZZES, PORTFOLIOS, RESEARCH/UNIT PROJECTS, ORAL PRESENTATIONS SUGGESTED CRITERIA FOR GRADING PRESENTATIONS, PROJECTS, PORTFOLIOS: CONCEPTS/OBJECTIVES HAVE BEEN MET COMPLETION OF PROJECT CREATIVITY, ORIGINALITY 30% 20% 50%

2 Your grade will be determined using the following scale: 90% - 100% A 80% - 89% B 70% - 79% C 60% - 69% D 59% and below E SAT/ACT: SAT/ ACT preparation is infused into daily instruction. The curriculum is embedded with standardized test preparation activities and test-taking strategies that will help students be successful on high-stakes tests like the SAT, ACT or college entrance exams. The practice in each lesson will prepare the students for the format as well as for the content. First Quarter at a Glance Throughout first quarter students will review solving equations, inequalities and absolute value equations and inequalities. Students will focus on linear functions and inequalities to graph functions and solve real world problems. Students will also solve systems of linear equations using multiple methods. By the end of First Quarter Algebra 2 students should be able to: Linear Functions, Equations, & Graphs Simplify expressions Identify, graph and analyze relations Evaluate functions and composition of functions Solve linear equations Graph linear functions Write equations of lines Make predictions from linear models Solve inequalities Graph linear inequalities Solve absolute value equations Solve absolute value inequalities Graph absolute value functions Graph absolute value inequalities Systems of Linear Equations and Matrices Solve systems in two variables by graphing, substitution, and elimination Solve systems in three variables by substitution and elimination Represent systems of linear inequalities by graphing Add, subtract, and multiply matrices Use inverse matrices to solve matrix equations Evaluate determinants of 2x2 and 3x3 matrices

3 Second Quarter at a Glance Throughout second quarter students will be introduced to properties of non-linear functions. The focus will be quadratic and polynomial functions. By the end of Second Quarter Algebra 2 students should be able to: Quadratic Equations and Functions Identify quadratic functions and graphs Model data with quadratic functions Analyze and Graph quadratic functions Factor quadratic expressions Solve quadratic equations by square roots Solve quadratic equations by factoring Solve quadratic equations by graphing Identify and graph complex numbers Solve quadratic equations by completing the square Rewrite functions by completing the square Solve quadratic equations by quadratic formula Polynomials and Polynomial Functions Classify polynomials Model data using polynomials Analyze factored form of a polynomial Write polynomial function from its zeros Divide polynomials using long and synthetic division Solve polynomials by graphing and factoring Use Pascal s Triangle and Binomial Theorem

4 Third Quarter at a Glance Throughout third quarter students will continue their study of non-linear functions including radical, exponential, logarithmic, and rational functions. Students will evaluate expressions, solve equations, and graph functions in addition to studying real world applications of these functions. By the end of Third Quarter Algebra 2 students should be able to: Functions Perform basic operations on function Find composite functions Evaluate composite functions Determine inverse functions Radical Functions and Rational Exponents Evaluate and simplify radical expressions Solve radical equations Evaluate and simplify expressions involving rational exponents Graph radical functions Exponential and Logarithmic Functions Model exponential growth and decay Write and evaluate logarithmic expressions Graph exponential and logarithmic functions Use properties of logarithms Solve exponential and logarithmic equations Use the natural and common logarithms Rational Functions Identify and graph inverse variations Graph translations of inverse variations Identify properties of rational functions Graph rational functions Simplify rational expressions Add, subtract, multiply and divide rational expressions Simplify complex fractions Solve rational equations

5 Fourth Quarter at a Glance Throughout fourth quarter students will explore conic sections, sequences, series, and probability. Students learn real world applications for each of these topics. By the end of Fourth Quarter Algebra 2 students should be able to: Conic Sections Classify and identify key features of parabolas, circles, ellipses, and hyperbolas Graph and write equations of circles and ellipses Sequences and Series Probability Identify math patterns and find the nth term of a sequence Classify and generate arithmetic and geometry sequences Use summation notation Evaluate arithmetic and geometry series Find experimental probabilities Find theoretical probabilities Find probabilities of multiple events Use factorial notation Solve counting problems using permutations and combinations Find conditional probabilities