Module 3

This course is a part of Algebra II (Eureka Math/EngageNY), a 4-course Topic series from Khan Academy.

"In this module, students synthesize and generalize what they have learned about a variety of function families. 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). They explore (with appropriate tools) the effects of transformations on graphs of exponential and logarithmic functions. They notice that the transformations on a graph of a logarithmic function relate to the logarithmic properties (F-BF.B.3). Students identify appropriate types of functions to model a situation. 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. 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. In particular, through repeated opportunities in working through the modeling cycle (see page 61 of the CCLS), students acquire the insight that the same mathematical or statistical structure can sometimes model seemingly different situations." Eureka Math/EngageNY (c) 2015 GreatMinds.org

This course contains 14 segments:

Topic A: Lesson 1: Integer exponents

Topic A: Lesson 2: Scientific notation

Topic A: Lessons 3-6: Rational exponents

Topic B: Lessons 7-9: Logarithms intro

Topic B: Lessons 10-12: Logarithm properties

Topic B: Lesson 13: Changing the base

Topic B: Lessons 13-15: Logarithms and equations

Topic C: Lesson 16: Rational and Irrational Numbers

Topic C: Lessons 17-22: Graphs of exponential and logarithmic functions

Topic D: Lessons 23-24: Solving exponential models

Topic D: Lessons 25-28: Modeling with exponential functions

Topic E: Lesson 29: Geometric series

Topic E: Lesson 29: Arithmetic series

Topic E: Lessons 30-33: Series applications