HAZELWOOD SCHOOL DISTRICT ALGEBRA 2 AND HONORS ALGEBRA 2 SYLLABUS Course Description: In this course students learn advanced algebraic number systems, operations, and forms. Students engage in activities which require them to communicate using the language of algebra, explore variations, graphs, linear relations, matrices, systems, parabolas and quadratic equations, quadratic relations, polynomials, functions, powers, roots, exponents, logarithms, trigonometry, and statistics. The course emphasizes problem solving. To receive honors credit, students are challenged to follow a rigorous pace and additional concepts, research, and problems required. Approved Course Materials and Resources: Textbook and Resources: ALGEBRA 2 Integration, Applications, Connections, New York: Glencoe/McGraw-Hill, 2001. $55.00 Video/Movies: Video clips from United Streaming are approved for classroom use. No full length movies are approved in the mathematics curriculum. Course Expectations: Students will be expected to bring pencils, a notebook, scientific calculator, and their textbook to class everyday. Taking notes, doing assigned homework, participating fully in classroom activities, and seeking additional help when needed are essential elements in successfully mastering the concepts of Algebra 2. The honors course is taught at a faster pace allowing extra class time for deeper investigation of the concepts by conducting research, solving challenging problems, and completing and presenting projects to further challenge a student. Challenging problem solving is required on a daily basis in this honors program with research conducted as needed. A minimum of one project per quarter is required. Because of the complexity of these additional requirements, more detail and work will be required outside classroom hours. Sample Course Activities/Projects/Assessments: Assessments: Each chapter test serves as the District Common Assessments. A scoring guide and grade calculator will ensure consistent scoring for all students across the district. A comprehensive semester final exam is required at the end of each semester. Other informal and formal assessments, such as quizzes, observations, classroom assignments, projects, and participation, will occur periodically through out each chapter. Algebra 2 and Honors Algebra 2 Syllabus 1 Course Outline: Equations and Inequalities Functions and Relations Systems of Equations and Inequalities Matrices Polynomials Radical and Complex Numbers Quadratic Equations and Functions Trigonometry Rational Expressions Exponents Conics Additional topics for Honors Algebra 2 Maximum and minimum values of a function Arithmetic and geometric sequences and series. Sigma notation to express sums. Special and specific right triangles Trigonometric values for any given degree or radian measure. Graph and analyze the six trigonometric functions. Course Curriculum Map: The curriculum map shows the sequence of the math concepts. An approximate timeline is given at the end of each chapter. Semester 1 Chapter 1 Math Content/Textbook Lesson Lesson 1.1 Expressions and Formulas Lesson 1.2 Properties of Real Numbers Lesson 1.3 Measure of Central Tendency Lesson 1.4 Solving Equations Lesson 1.5 Solving Absolute Value Equations Lesson 1.6 Solving Inequalities Lesson 1.7 Solving Absolute Value Inequalities Quiz/Review Common Assessment #1 Timeline: 3 weeks Chapter 2 Math Content/Textbook Lesson Lesson 2.1 Relations and Functions Lesson 2.2 Linear Equations Lesson 2.3 Slope Lesson 2.4 Writing Linear Equations Algebra 2 and Honors Algebra 2 Syllabus 2 Lesson 2.5 Scatter Plots Lesson 2.6 Special Functions Lesson 2.7 Linear Inequalities Quiz/Review Common Assessment #2 Timeline: 3.5 weeks Chapter 3 Math Content/Textbook Lesson Lesson 3.1 Graphing Systems of Equations Lesson 3.2 Using Substitution and Elimination to Solve Systems of Equations Lesson 3.3 Using Cramer’s Rule to Solve Systems of Equations Lesson 3.4Graphing Systems of Inequalities Quiz/Review Common Assessment #3 Timeline: 2 weeks Chapter 4 Math Content/Textbook Lesson Lesson 4.1 Matrices Lesson 4.2 Add and Subtract Matrices Lesson 4.3 Multiplying Matrices Lesson 4.8 Box and Whisker Plots Quiz/Review Common Assessment #4 Timeline: 2 weeks Chapter 5 - Part 1 Math Content/Textbook Lesson Lesson 5.1 Monomials Lesson 5.2 Polynomials Lesson 5.3 Dividing Polynomials Lesson 5.4 Factoring Lesson 5.5 Roots of Real Numbers Quiz/Review Common Assessment #5 Timeline: 3 weeks Semester 1 Final Exam Review for Semester 1 Final Exam Semester 1 Exam Timeline: .5 weeks Algebra 2 and Honors Algebra 2 Syllabus 3 Semester 2 Chapter 5 - Part 2 Math Content/Textbook Lesson 5-6 Radical Expressions 5-7 Rational Exponents 5-8 Solving Radical Equations/Inequalities 5-9 Complex Numbers 5-10 Simplifying Expressions Containing Complex Numbers Quiz/Review Common Assessment #6 Timeline: 2 weeks Chapter 6 Math Content/Textbook Lesson 6-2 Solving Quadratic Equations by Factoring 6-3 Completing the Square 6-4/6-5 Quadratic Formula/Sum and Product of Roots 6-6 Analyzing Graphs of Quadratic Functions 6-7 Graphing and Solving Quadratic Inequalities Quizzes and Review Common Assessment #7 Timeline: 2 weeks Chapter 13 Math Content/Textbook Lesson 13-1/13-2 Intro to Trig/Radians & Degrees 13-3 Trig Functions of General Angles 13-4 Law of Cosines 13-5 Law of Sines Quiz/Review Common Assessment #8 Timeline: 2 weeks Chapter 9 Math Content/Textbook Lesson 9-2 Direct/ Indirect Variation 9-4 Rational Expressions Addition and Subtraction 9-3 Rational Expressions Multiplication and Division Algebra 2 and Honors Algebra 2 Syllabus 4 9-5 Solving Expressions Quiz/Review Common Assessment #9 Timeline: 2.5 weeks Chapter 8 Math Content/Textbook Lesson 8-1 Function Notation 8-7 Composition Functions 8-8 Inverses Quiz/Review Common Assessment #10 Timeline: 2 weeks Chapter 10 Math Content/Textbook Lesson 10-1 Real Exponents & Exponential Functions 10-2 Logarithms and Logarithmic Functions 10-3 Properties of Logarithms 10- 4/10-5 Common/Natural Logarithms 10-6 Solving Exponential Equations 10-7 Exponential Growth Quiz/Review Common Assessment #11 Timeline: 3 weeks Chapter 7 Math Content/Textbook Lesson 7-1/7-2 Distance/Midpoint Formula & Parabolas 7-3 Circles 7-4 Ellipses 7-5 Hyperbolas 7-6 Conic Sections Quiz/Review Common Assessment # 12 Timeline: 2 weeks Semester 2 Final Exam Review for Semester 2 Final Exam Semester 2 Exam/Common Assessment #13 Timeline: .5 weeks Algebra 2 and Honors Algebra 2 Syllabus 5 HIGH SCHOOL MATHEMATICS LESSON PROTOCOL ACTIVITY TEACHER PURPOSE STUDENT PURPOSE Warm Up Assess student knowledge; connect to prior knowledge Practice and strengthen lesson skills and math concepts; self assessment of knowledge Facilitate to guide student thinking; assess accuracy of student knowledge Self-assessment, explain reasoning and assist each other Assess and build connections to prior knowledge; build interest and motivation. Show interest in problem to be solved; show prior knowledge through discussion. Facilitate and assess student understanding; ask probing questions to maintain problem’s rigor and student’s perseverance. Construct math knowledge by making predictions, discussing possibilities, testing predictions, solving problems, and justifying or presenting results. Check for accuracy and depth of understanding, make connections and extend knowledge through questioning and discussion. Summarize and reflect though discussion and writing. Individual work; problems based on classroom lesson skills or Tungsten assessment data 15% of class time Homework Review Partner or small group 10% of class time Launch Whole group discussion Direct Instruction 20% of class time Explore Partner/Small Group Activity Guided Instruction Student Presentations 40% of class time Summary Whole group discussion Summary Writing 15% of class time Algebra 2 and Honors Algebra 2 Syllabus 6 Power Vocabulary: Expressions, equations, inequalities, formula Relations and functions Systems of equations Matrices Exponents Logarithms Real Numbers Complex Numbers Radical expressions and equations Trigonometry Direct and indirect variation Circle Parabola Ellipse Hyperbola Conic Sections Algebra 2 and Honors Algebra 2 Syllabus 7