 Textbook: Algebra 2, Integration, Applications and Connections by Glencoe(1998) General Goal: The students will acquire skills in solving second (and higher) degree equations, trigonometric, exponential and logarithmic equations, and in operations with complex numbers. They will also develop familiarity with statistical concepts and its applications. The students will be using calculators as tools for problem solving and discovery. Course Description: Through Integration, the students relate and apply algebraic concepts to geometry, statistics, data analysis, probability and discrete mathematics. Through Applications, the students use their math skills and apply them to the solution of a real-life problem in sports, space, and consumerism just to name a few. Through Connections, the students learn that mathematics is involved in other subjects such as biology, art, history, health and geography. - Analyzing Equations and Inequalities - Graphing Linear Relations and Functions - Solving Systems of Linear Equations and Inequalities - Using Matrices - Exploring Polynomials and Radical Functions - Exploring Quadratic Functions and Inequalities - Exploring Polynomial Functions - Exploring Exponential and Logarithmic Functions - Exploring Trigonometric Functions - Using Trigonometric Graphs and Identities Chapter 1- Analyzing Equations and Inequalities: - 1-1A Graphing Technology: Use a graphing calculator to evaluate expressions - 1-1 Expressions and Formulas - 1-2 Properties of Real Numbers - 1-3 Integration: Statistics: Graphs and measures of Central Tendency - 1-4 Solving Equations - 1-5A Graphing Technology: Using Tables to Estimate Solutions - 1-5 Solving Absolute Value Equations - 1-6 Solving Inequalities - 1-7 Solving Absolute Value Inequalities Chapter 2- Graphing Linear Relations and Functions: 2-1 Relations and Functions 2-2A Graphing Technology: Linear Equations 2-2 Linear Equations 2-2B Graphing Technology: Using graphs to estimate solutions 2-3 Slope 2-4 Writing Linear Equations 2-5 Integration: Statistics: Modeling Real-World Data Using Scatter Plots 2-5B Graphing Technology: Lines of Regression 2-6 Special Functions 2-7A Graphing Technology: Linear Inequalities 2-7 Linear Inequalities Chapter 3- Solving Systems of Linear Equations and Inequalities 3-1A Graphing Technology: Systems of Equations 3-1 Graphing Systems of Equations 3-2 Solving Systems of Equations Algebraically 3-3 Cramer's Rule 3-4A Graphing Technology: Systems of Linear Inequalities 3-4 Graphing Systems of Inequalities 3-5 Linear Programming 3-6 Applications of Linear Programming 3-7 Solving Systems of Equations in Three Variables 3-7B Modeling Mathematics: Graphing Equations in Three Variables Chapter 4- Using Matrices 4-1 An introduction to Matrices 4-2 Adding and Subtracting Matrices 4-3 Multiplying Matrices 4-4 Matrices and Determinants 4-5 Identity and Inverse Matrices 4-6 Using Matrices to Solve Systems of Equations 4-7 Using Augmented Matrices Chapter 5- Exploring Polynomials and Radical Expressions 5-1 Monomials 5-2 Polynomials 5-3 Dividing Polynomials 5-4 Factoring 5-5 Roots of Real Numbers 5-6 Radical Expressions 5-7 Rational Exponents 5-8 Solving Equations Containing Radicals 5-9 Complex Numbers 5-10 Simplifying Expressions Containing Complex Numbers Chapter 6-Exploring Quadratic Functions and Inequalities 6-1 Solving Quadratic Equations by Graphing 6-2 Solving Quadratic Equations by Factoring 6-3 Completing the square 6-4 The Quadratic Formula and the Discriminant 6-5 Sum and Product of Roots 6-6 Analyzing Graphs of Quadratic Functions 6-7 Graphing and Solving Quadratic Inequalities 6-8 Standard Deviation Chapter 8-Exploring Polynomial Functions 8-1 Polynomial Functions 8-2 The Remainder and Factor Theorems 8-3 Graphing Polynomial Functions and Approximating Zeros 8-4 Roots and Zeros 8-5 Rational Zero Theorem 8-6 Using Quadratic Techniques to Solve Polynomial Equations 8-7 Composition of Functions 8-8 Inverse Functions and Relations Chapter 9- Exploring Rational Expressions 9-1 Graphing Rational Functions 9-2 Direct, Inverse, and Joint Variation 9-3 Multiplying and dividing rational expressions 9-4 Adding and Subtracting Rational Expressions 9-5 Solving rational equations and Inequalities Chapter 10-Exploring Exponential and Logarithmic Functions 10-1 Real Exponents and Exponential Functions 10-2 Logarithms and Logarithmic Functions 10-3 Properties of Logarithms 10-4 Common Logarithms 10-5 Natural Logarithms 10-6 Solving Exponential Equations 10-7 Growth and Decay Chapter 13- Exploring Trigonometric Functions 13-1 An Introduction to Trigonometry 13-2 Angles and their Measure 13-3 Trigonometric Functions of General Angles 13-4 Law of Sines 13-5 Law of Cosines 13-6 Circular Functions 13-7 Inverse Trigonometric Functions Chapter 14-Using Trigonometric Graphs and Identities 14-1 Graphing Trigonometric Functions 14-2 Trigonometric Identities 14-3 Verifying Trigonometric Identities 14-4 Sum and Difference of Angle Formulas 14-5 Double-Angle and Half-Angle Formulas 14-6 Solving Trigonometric Equations Teacher Expectations Semestral II Exam Outline Assessment  |
