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 120Course 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. Read, write and communicate effectively.
2. Utilize technologies appropriately and effectively.
3. Apply critical thinking skills.
4. Explore and express ideas creatively.
5. Participate in learning both individually and collaboratively.
6. Demonstrate personal, social, and civic responsibility.
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Student Expectations / Framework StandardsAdvanced Algebra II Chapter 6
Polynomials and Polynomial Functions
Power Functions and Their inverses / Exploring Power Functions / Simplify expressions using exponent properties
Evaluate for, Simplify, and Identify power functions
Using Powers and Roots / Solve and find and discard extraneous solutions for power functions
Polynomial Functions / Understanding the components of Polynomials / Analyze the components of a polynomial including, graphing key points, name of degree, name by terms, x and y intercepts, end behavior
Polynomials and Linear Factors / The Factors and Zeros of a Polynomial Function / Find the solutions to polynomial functions using the factor theorem
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 the GCF and factoring.
Solving polynomial functions using factoring the GCF and quadratic formula
Dividing Polynomials / Long Division / Divide polynomials using long division and synthetic division
Synthetic Division
Solving a Polynomial Equation / Solve polynomial functions using graphing, division, and the quadratic formula
Advanced Algebra II Chapter 7
Exponential and Logarithmic Functions
Exploring Exponential Models / Using Exponential Functions / Write exponential equations for growth and decay factors and identify the factors
Modeling Growth and Decay / Write an exponential equation to model real situations involving exponential growth and decay.
Exponential Functions / Compound Interest Formula / Use the compound interest formula for real world application problems.
The Number "e" and Continuously Compounded Interest / Use the continuously compounded interest formula for real world application
Logarithmic Functions as Inverses / Writing Logarithmic Expressions / Changing between logarithmic and exponential forms for logarithmic functions
Graphing Logarithmic Functions as Inverse / Use the properties of inverse functions to graph a logarithmic fuction as the inverse of an exponential function
Properties of Logarithms / Rewriting Logarithmic Expressions / Use the properties of logarithms to rewrite logarithmic expressions
Applying the Properties of Logarithms / Use the properties of logarithms for real world applications.
Exponential and Logarithmic Equations / Solving Equations Containing Exponents or Radicals / Use properties of exponents to solve equations containing exponents and radicals
Solving Exponential or Logarithmic Equations / Use, manipulate, and solve with the logarithmic properties and base change formula
Natural Logarithms / Using Natural Logarithm Function / Use properities of logarithms with natural logarithms
Advances Algebra II Chapter 8
Rational Functions and Their Graphs
Rational Functions and Their Graphs / Properties of Rational Functions / Analyze equation of rational function to determine continuity/discontinuity
Graphing Rational Functions / Use the properties of rational functions find the asymptotes and grapph the functions
Rational Expressions / Simplifying Rational Expressions / Simplify rational expressions by factoring and reducing by common factor
Multiplying and Dividing Rational Expressions / Use definition of multiplicaton and division of rational numbers to multiple and divide rational expressions.
Adding and Subtracting Rational Expressions / Find the LCD of rational expressions / Use the prime factors of polynomial expressions to find the LCD
Add and Subtract Rational Expressions / Use the definitions of addithion and subtraction of ratioonal numbers to add and subtract rational expressions
Solving Rational Equations / Solve rational equations using a variety of methods and skills / Simplify, add, subtract, multiply, and divide rational expressions
Use the properties of equality, factoring, and quadratic formula to solve rational expressions
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