Goal: What is an exponent? How do adding, multiplying and powers relate? How can I multiply and divide bases that have powers?
Class Activity and Discussion --> Completed Class Activity
Class Assignment (do the odd #'s) --> Completed Assignment
Assignment --> Solutions
Goal: Students will describe negative exponents as the reciprocal and know that it means to "flip the base and its power over the fraction bar". Additionally, students will continue to practice using the Exponents Laws but now will have negative exponents to deal with.
Day 1
Day 2
Assignment --> Solutions
Goal: Students will recognize that these models are not linear but are curved. The growth model has a base > 1 and the decay model has a 0 < base < 1. Students will be able to enter a given exponential model and generate a table of values and construct a graph of the model using the calculator and by hand. Students will come up with examples of exponential growth like compound interest on an investment, inflation in prices and population growth. Students will come up with examples of exponential decay such as radioactive elements (half-life), dissipation of medicine in one's body over time, and percent depreciation of an asset (like a car).
Day 1
Growth and Decay Factor Notes (Completed)
Growth and Decay Factor Assignment (p. 500-504)
Growth and Decay Factor Solutions
Day 2
Cumulative Decay/Growth Notes (Completed)
Cumulative Decay/Growth Assignment (p. 509)
Cumulative Decay/Growth Solutions
Day 3 - Real Life Situations
Lab 1 - Exponential Growth - Inflation
Lab 2 - Exponential Decay - Depreciation
Assignment - p. 514 - 518 --> Solutions
Day 4
Goal: Students will be able to recognize when a set of data is exponential, quadratic, or linear. They will be able to put a series of coordinates into the graphing calculator and know how to graph the data to be able to make a determination as to the best model.
Choosing the Best Model Worksheet
Choosing the Best Model Solutions