Course of Study For Algebra II
Mathematics Department
March 2007
Winegar
PURPOSE AND
PHILOSOPHY
Algebra II is designed for students who have successfully completed Algebra I or its equivalent. Algebra II will build on the basic concepts presented in Algebra 1 to encourage higher order thinking. Algebra II students will represent and analyze mathematical situations. The students will analyze and apply a variety of methods to model and graph linear and nonlinear equations and inequalities. Students will also use algebraic, graphical and numerical methods for analysis of quadratic equations and functions, polynomials and rational functions. Exponential functions, logarithmic functions, data analysis, and probability will also be explored. Successful completion of Algebra II will lead to Precalculus (students earning a B or better) or Statistics.
STUDENT OUTCOMES
Major Goals
At the conclusion of this course, students will be able to:
Ø Solve problems mathematically
Ø Communicate mathematically
Ø Reason mathematically
Ø Make mathematical connections
Ø Use mathematical representations to model and interpret practical situations.
Evaluation
To evaluate student progress, both formal and informal assessment will be used. Homework, quizzes, performance based assessment, computer lab based assessment and tests will compose the formal assessment while group work, notebooks, and technological explorations will comprise the informal assessment. Summary and review at the conclusion of each chapter will serve as an opportunity for pretest and self evaluation. Students will be provided ample opportunity to practice across a variety of learning styles.
OBJECTIVES
Topics to be covered in Algebra II will address all NJCCS and include:
Ø The Language and Logic of Algebra
Ø Relations and Functions
Ø Linear and Absolute Value Equations and Inequalities
Ø Quadratic Equations and Functions
Ø Polynomial and Rational Functions
Ø Exponential, Logarithmic and Periodic Functions
Ø Data Analysis and Probability
Students will:
Ø Represent and analyze mathematical situations and properties using patterns, relations, functions and algebraic symbols.
Ø Analyze and apply various methods to model, graph and solve linear and absolutes value equations and inequalities.
Ø Use algebraic, graphical and numerical methods to analyze, compare, translate, and solve quadratic equations.
Ø Use algebraic, graphical and numerical methods to analyze, compare, translate, and solve polynomial equations.
Ø Graph exponential functions and relate them to logarithms. They will solve real world problems using exponential functions.
Ø Graph periodic functions. They will solve real world problems using periodic functions.
Ø Evaluate and interpret data, make predictions based on data, and apply basic understanding of probability to solve real world problems.
LEARNING ACTIVITIES
In order to develop mastery of stated objectives, the following may be used:
Ø Extra practice problems
Ø Cumulative reviews
Ø Technology based activities
Ø Reinforcement exercises
Ø Transparencies
Ø Maintenance of a notebook and organizational material
Ø Computer assisted instruction
Ø On-line quizzes and exercises
Ø Group explorations and chapter projects
Ø Self assessments
ASSESSMENT
To evaluate student progress, homework will be checked by teacher and by peers, written quizzes and chapter tests will be given, projects will be presented, notebooks will be evaluated and a final examination in June will be administered.
ENRICHMENT
There are extensive enrichment readings and instructional materials on line for students who wish to pursue the study of a related concept in greater depth.
SOFTWARE
Students will have access to the Prentice Hall Software in the computer lab on a regular basis throughout the entire school year. This software provides on line quizzing and Chapter Tests, homework help, Activity labs and Algebra at Work labs. Students may work at their own pace from school or home for both remedial skills and enrichment based on the student’s needs.
TEXTBOOK
Algebra II. Pearson Education 2007. Textbook and workbook.
www.phschool.com is available to all students at all times and is keyed to the specific lessons in the Algebra II text.
Additional resources are available to the teacher including Solutions Guides, Transparences, and Enrichment Resources.
www.southjerseyacademy.com is a rich website for projects and activities that are standards and research based and ready for presentation.
Core Curriculum Content Standards for Mathematics for New
Standard 4.1 All students will develop number sense and will perform standard numerical operations and estimations on all types of numbers in a variety of ways.
Standard 4.2 All students will develop spatial sense and the ability to use geometric properties, relationships, and measurement to model, describe and analyze phenomena.
Standard 4.3 All students will represent and analyze relationships among variable quantities and solve problems involving patterns, functions and algebraic concepts and processes.
Standard 4.4 All students will develop an understanding of the concepts and techniques of data analysis, probability and discrete mathematics and will use them to model situations, solve problems, and analyze and draw appropriate inferences from data.
Standard 4.5 All students will use mathematical processes of problem solving, communication, connections, reasoning, representations, and technology t6o solve problems and communicate mathematical ideas.