range for each of the given functions E2A: Determine the domain and range of a quadratic function; graph the function with and without technology E2B: Use transformations (e.g., translation, reflection) to draw the graph of a relation and determine a relation that fits a graph Timeline: 2nd Semester 1.5 Weeks Vocabulary: Inverse Variation Joint Variation Rational Expression Simplest Form Complex Fraction Rational Equations Composition of Functions Horizontal Line Test Unit 10: Rational Functions New State Standards: N-Q Quantities 3. Choose a level of accuracy appropriate to limitations on measurement when reporting quantities. A-SSE Seeing Structure in Expressions 1. Interpret expressions that represent a quantity in terms of its context.★ Interpret parts of an expression, such as terms, factors, and coefficients. Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)n as the product of P and a factor not depending on P. 2. Use the structure of an expression to identify ways to rewrite it. For example, see x4 – y4 as (x2)2 – (y2)2, thus recognizing it as a difference of squares that can be factored as (x2 – y2)(x2 + y2). 3. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.★ A-APR Arithmetic with Polynomials & Rational Expressions 1. Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials. Activities: Concepts and Skills: Students will: Model inverse variation Identify and solve problems using direct, joint, and inverse variation Simplify rational expressions Add, Subtract, Multiply, and Divide rational expressions Find Least Common Multiples Adding and subtracting rational expressions Simplifying complex fractions Solve rational equations Find an inverse from a graph or table Decide if a function has an inverse Verify inverse by composition Resources: Algebra II textbook: Larson, Boswell, Kanold, Stiff CH: 8 Internet Research Infinite Algebra 1 Infinite Geometry Infinite Algebra 2 Edmodo Quality Core Infinite Algebra II Discovery Education brightstorm.com/math/algebra-2/ Strategies: Graphing calculator applications Exit slips ADP activities Enrichment activities ACT/SAT integration Real World Applications Vocabulary Builders
Timeline: 2nd Semester 1.5 Weeks Vocabulary: Asymptote Change of Base Formula Common Logarithm Exponential Equation Exponential Function Logarithm Logarithmic Equation Logarithmic Function Natural Logarithmic Function Unit 13: Exponential and Logarithmic Functions New State Standards: N-Q Quantities 1. Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays 3. Choose a level of accuracy appropriate to limitations on measurement when reporting quantities. A-SSE Seeing Structure in Expressions 1. Interpret expressions that represent a quantity in terms of its context.★ Interpret parts of an expression, such as terms, factors, and coefficients. Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)n as the product of P and a factor not depending on P 3. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.★ Use the properties of exponents to transform expressions for exponential functions. For example the expression 1.15t can be rewritten as (1.151/12)12t ≈ 1.01212t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%. A-CED Creating Equations* 1. Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential Activities: Concepts and Skills: Students will: Write exponential functions Graph exponential function Analyze functions Graph exponential functions with varying parameters Translate exponential functions Evaluate e Convert between exponentials and logarithmic forms Evaluate logarithms Graph logarithmic functions Translate logarithmic functions Identify properties of logarithms Expand and simplify logarithms Solve exponential equations Solve logarithmic equations Use logarithmic properties to solve an equation Unit Learning Targets Students will be able to: I can graph Resources: Algebra II textbook: Larson, Boswell, Kanold, Stiff CH: 8 Internet Research Infinite Algebra 1 Infinite Geometry Infinite Algebra 2 Edmodo Quality Core Infinite Algebra II Discovery Education Strategies: Graphing calculator applications Exit slips ADP activities Enrichment activities ACT/SAT integration Real World Applications Vocabulary Builders