Timeline: Activities: Resources: Unit 13: Exponential and Logarithmic Functions 2nd Semester Concepts and Skills: Algebra II textbook: Larson, New State Standards: Students will: Boswell, Kanold, Stiff 1.5 Weeks N-Q Quantities Write exponential CH: 8 1. Use units as a way to understand problems and to guide the functions Internet Research solution of multi-step problems; choose and interpret units Graph exponential Infinite Algebra 1 function Vocabulary: consistently in formulas; choose and interpret the scale and the Infinite Geometry Analyze functions Infinite Algebra 2 origin in graphs and data displays Graph exponential Edmodo Asymptote 3. Choose a level of accuracy appropriate to limitations on functions with Quality Core Change of Base measurement when reporting quantities. varying parameters Infinite Algebra II Formula Translate Discovery Education Common A-SSE Seeing Structure in Expressions exponential functions Logarithm 1. Interpret expressions that represent a quantity in terms of its Evaluate e Exponential context.★ Convert between Equation Interpret parts of an expression, such as terms, factors, and exponentials and Strategies: Exponential logarithmic forms coefficients. Graphing calculator Function Evaluate logarithms Interpret complicated expressions by viewing one or more applications Logarithm Graph logarithmic Exit slips of their parts as a single entity. For example, interpret functions Logarithmic ADP activities P(1+r)n as the product of P and a factor not depending on Translate Equation Enrichment activities P logarithmic Logarithmic ACT/SAT integration functions 3. Choose and produce an equivalent form of an expression to Function Real World Applications Identify properties reveal and explain properties of the quantity represented by the Vocabulary Builders Natural of logarithms expression.★ Logarithmic Expand and Function simplify logarithms Use the properties of exponents to transform expressions Solve exponential for exponential functions. For example the expression equations 1.15t can be rewritten as to reveal (1.151/12)12t ≈ 1.01212t Solve logarithmic the approximate equivalent monthly interest rate if the equations annual rate is 15%. Use logarithmic properties to solve an equation A-CED Creating Equations* 1. Create equations and inequalities in one variable and use them Unit Learning Targets to solve problems. Include equations arising from linear and Students will be able to: quadratic functions, and simple rational and exponential I can graph
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
Advanced%20Algebra%202%20Curriculum%20Map%202014-2015.docx