The description of modeling as, “the process of choosing and using mathematics and statistics to analyze empirical situations, to understand them better, and to make decisions,” is at the heart of this module. They adjust parameters to improve the model, and they compare models by analyzing appropriateness of fit and making judgments about the domain over which a model is a good fit.
Students identify appropriate types of functions to model a situation. They notice that the transformations on a graph of a logarithmic function relate to the logarithmic properties (F-BF.B.3). They explore (with appropriate tools) the effects of transformations on graphs of exponential and logarithmic functions. They extend the domain of exponential functions to the entire real line (N-RN.A.1) and then extend their work with these functions to include solving exponential equations with logarithms (F-LE.A.4). 557 Topics C through E (assessment 1 day, return 1 day, remediation or further applications 4 days)Įxponential and Logarithmic Functions OVERVIEW In this module, students synthesize and generalize what they have learned about a variety of function families. 531 Lesson 33: The Million Dollar Problem. 478 Lesson 29: The Mathematics Behind a Structured Savings Plan. 443 Lesson 28: Newton’s Law of Cooling, Revisited. 425 Lesson 27: Modeling with Exponential Functions. 388 Lesson 25: Geometric Sequences and Exponential Growth and Decay. 371 Lesson 24: Solving Exponential Equations. 316 Lesson 21: The Graph of the Natural Logarithm Function. 297 Lesson 20: Transformations of the Graphs of Logarithmic and Exponential Functions. 283 Lesson 19: The Inverse Relationship Between Logarithmic and Exponential Functions. Lesson 18: Graphs of Exponential Functions and Logarithmic Functions. 265 1Įach lesson is ONE day, and ONE day is considered a 45-minute period. 252 Lesson 17: Graphing the Logarithm Function. 249 Lesson 16: Rational and Irrational Numbers. 228 Topics A through B (assessment 1 day, return 1 day, remediation or further applications 4 days) Topic C: Exponential and Logarithmic Functions and their Graphs (F-IF.B.4, F-IF.B.5, F-IF.C.7e, F-BF.A.1a, F-BF.B.3, F-BF.B.4a, F-LE.A.2, F-LE.A.4). 195 Lesson 15: Why Were Logarithms Developed?. 177 Lesson 14: Solving Logarithmic Equations. 138 Lesson 11: The Most Important Property of Logarithms. 129 Lesson 10: Building Logarithmic Tables. 117 Lesson 9: Logarithms-How Many Digits Do You Need?. 103 Lesson 7: Bacteria and Exponential Growth. 62 Lesson 5: Irrational Exponents-What are 2√2 and 2? ?.
Lesson 4: Properties of Exponents and Radicals. Lesson 3: Rational Exponents-What are 22 and 23 ?. 14 Lesson 2: Base 10 and Scientific Notation. Exponential and Logarithmic Functions Eureka MathĮxponential and Logarithmic Functions Module Overview.