Whitman-Hanson Regional High School provides all students with a high- quality education in order to develop reflective, concerned citizens and contributing members of the global community. Course Number 431 Title Algebra II B Grade 9-12 # of Days 120 Course Description This course emphasizes facility with algebraic expressions and forms. Functions based on quadratic forms, powers and roots, logarithms, trigonometry, and polynomials are studied for their abstract properties and as tools for modeling real-world situations. Student owned graphing calculators are necessary for this course. This course is recommended for students with a good background in algebra, and is mandatory for students applying to Massachusetts State Colleges and Universities. This course addresses Whitman-Hanson Student Learning Expectations 1-6. Instructional Strategies Instructional Strategies include but may not be limited to the following: 1. Whole class instruction 2. Individual work: homework, classwork, assessments 3. Group work: activities, problem solving 4. Video presentations 5. Use of technology (graphing calculators and computers) 6. Projects 7. Daily quizzes 8. Homework check 9. Test corrections 10. Games 11. Websites Student Learning Expectations 1. 2. 3. 4. 5. 6. Read, write and communicate effectively. Utilize technologies appropriately and effectively. Apply critical thinking skills. Explore and express ideas creatively. Participate in learning both individually and collaboratively. Demonstrate personal, social, and civic responsibility. 1 Student Expectations Advanced Algebra II Chapter 6 Polynomials and Polynomial Functions Power Functions and Their inverses Exploring Power Functions Simplify expressions using exponent propert Evaluate for, Simplify, and Identify power fun Using Powers and Roots Solve and find and discard extraneous solu Polynomial Functions Understanding the components of Polynomials Analyze the components of a polynomial inc Polynomials and Linear Factors The Factors and Zeros of a Polynomial Function Find the solutions to polynomial functions us Write polynomial functions in standard form Solving Polynomial Equations Solving Equations by Graphing Solving polynomial functions using graphing Solving Equations by Factoring Solving polynomial functions using factoring Solving polynomial functions using factoring Long Division Synthetic Division Divide polynomials using long division and s Solving a Polynomial Equation Solve polynomial functions using graphing, d Using Exponential Functions Write exponential equations for growth and d Modeling Growth and Decay Write an exponential equation to model real Compound Interest Formula Use the compound interest formula for real w The Number "e" and Continuously Compounded Interest Use the continuously compounded interest Writing Logarithmic Expressions Changing between logarithmic and exponen Dividing Polynomials Advanced Algebra II Chapter 7 Exponential and Logarithmic Functions Exploring Exponential Models Exponential Functions Logarithmic Functions as Inverses 2 Properties of Logarithms Exponential and Logarithmic Equations Natural Logarithms Graphing Logarithmic Functions as Inverse Use the properties of inverse functions to gra Rewriting Logarithmic Expressions Use the properties of logarithms to rewrite lo Applying the Properties of Logarithms Use the properties of logarithms for real wor Solving Equations Containing Exponents or Radicals Use properties of exponents to solve equatio Solving Exponential or Logarithmic Equations Use, manipulate, and solve with the logarithm Using Natural Logarithm Function Use properities of logarithms with natural log Properties of Rational Functions Analyze equation of rational function to dete Graphing Rational Functions Use the properties of rational functions find t Simplifying Rational Expressions Simplify rational expressions by factoring an Multiplying and Dividing Rational Expressions Use definition of multiplicaton and division o Find the LCD of rational expressions Use the prime factors of polynomial express Add and Subtract Rational Expressions Use the definitions of addithion and subtract Solve rational equations using a variety of methods and skills Simplify, add, subtract, multiply, and divide r Use the properties of equality, factoring, and Advances Algebra II Chapter 8 Rational Functions and Their Graphs Rational Functions and Their Graphs Rational Expressions Adding and Subtracting Rational Expressions Solving Rational Equations 3