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: Activities: Resources: Unit 10: Rational Functions 2nd Semester Algebra II textbook: Larson, Boswell, New State Standards: Kanold, Stiff Concepts and Skills: 1.5 Weeks N-Q Quantities CH: 8 Students will: Internet Research 3. Choose a level of accuracy appropriate to limitations on Model inverse Infinite Algebra 1 measurement when reporting quantities. variation Infinite Geometry Identify and solve Vocabulary: Infinite Algebra 2 problems using Edmodo A-SSE Seeing Structure in Expressions Quality Core direct, joint, and Inverse 1. Interpret expressions that represent a quantity in terms of its Infinite Algebra II inverse variation Discovery Education Variation context.★ Simplify rational Joint Variation expressions brightstorm.com/math/algebra-2/ Interpret parts of an expression, such as terms, factors, and Rational Add, Subtract, coefficients. Strategies: Multiply, and Expression Interpret complicated expressions by viewing one or more Graphing calculator applications Divide rational Simplest Form Exit slips of their parts as a single entity. For example, interpret expressions Complex ADP activities Find Least Common P(1+r)n as the product of P and a factor not depending on Enrichment activities Fraction Multiples ACT/SAT integration P. Rational Adding and Real World Applications 2. Use the structure of an expression to identify ways to rewrite it. Vocabulary Builders Equations subtracting rational For example, see x4 y4 as (x2)2 (y2)2, thus recognizing it as a – – expressions Composition of difference of squares that can be factored as (x2 y2)(x2 + y2). – Simplifying complex Functions 3. Choose and produce an equivalent form of an expression to fractions Horizontal Line Solve rational reveal and explain properties of the quantity represented by the Test equations expression.★ Find an inverse from a graph or table A-APR Arithmetic with Polynomials & Rational Expressions Decide if a function 1. Understand that polynomials form a system analogous to the has an inverse integers, namely, they are closed under the operations of addition, Verify inverse by subtraction, and multiplication; add, subtract, and multiply composition polynomials.
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
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