2nd Nine Algebra II TN State Standards Essential Understandings Content & Tasks CLIP Connections Chapter 6 (Allow 8 days for instruction, review, and assessment) Seeing Structure in Expressions Write expressions in equivalent forms to solve problems. Quantities★ Reason quantitatively and use units to solve problems. 3. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.★ Interpret parts of an expression, such as terms, factors, and coefficients. 2. Define appropriate quantities for the purpose of descriptive modeling. Pearson 1.1 Patterns and Expressions Glencoe 1.1 Expressions and Formulas Textbook Resources Examples to include: Language objectives Vocabulary strategy Writing prompt Tasks solution justification Journaling The Real Number System Extend the properties of exponents to rational exponents 1. Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational Pearson 6.4 Rational Exponents TN Task Arc –Exponents ()
Glencoe 7.3 Square Root Functions and Operations Chapter 7 (Allow 8 days for instruction, review, and assessment) Linear, Quadratic, and Exponential Functions Construct and compare linear, quadratic, and exponential models and solve problems. F.LE.A.1 Distinguish between situations that can be modeled with linear functions and with exponential functions. F.LE.A.1.A Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. F.LE.B.5 Interpret the parameters in a linear or exponential function in terms of a context. Pearson 7.1 Exploring Exponential Glencoe 8.1 Graphing Exponential Functions Textbook Resources TN Task Arc –Car Depreciation () TN Task Arc-Culture Shock Interpreting Functions Analyze functions different representations. 8. b. Use the properties of exponents to interpret expressions for exponential functions. Pearson 7.2 Properties of Exponential Functions TN Task Arc – Natural of Things () F.BF.B.5 (+) Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents. Pearson 7.3 Logarithmic Functions as Inverses Glencoe
8.3 Logarithms and Logarithmic Functions Pearson 7.4 Properties of Logarithms Glencoe 8.5 Properties of Logarithms 8.6 Common Logarithms F.LE.A.4 For exponential models, express as a logarithm the solution to abct = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology. Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions. Pearson 7.5 Exponential and Logarithmic Equations Glencoe 8.2 Solving Exponential Equations and Inequalities 8.4 Solving Logarithmic Equations and Inequalities 8.8 Using Exponential and Logarithmic Functions Textbook Resources For exponential models, express as a logarithm the solution to abct = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology. Pearson 7.6 Natural Logarithms
Interpreting Functions Understand the concept of a function and use function notation. 3. Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. 11.2 Arithmetic Sequences 11.5 Recursion and Iteration Textbook Resources See Section 9-2 Pearson 9.3 Geometric Sequences Glencoe 11.1 Sequences as Functions 11.3 Geometric Sequences 11.5 Recursion and Iteration TN Task Arc –Honeybees () Seeing Structure in Expressions Write expressions in equivalent forms to solve problems. 4. Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems. Pearson 9.5 (Finite)Geometric Series Glencoe 11.3 Geometric Series TN Task Arc-Patterns in Patterns () Chapter 11 (Allow 6 days for instruction, review, and assessment) Making Inferences & Justifying Conclusions Understand and evaluate random processes underlying statistical experiments. 2. Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation. Pearson 11.2 Probability – Simulation