1 of 22

Exponential Growth & Decay

Today you will need:

Notes
Chromebook, calculator & pencil
Positive Attitude :-)

Grab a warm-up from the wooden desk and get started! :-)

2 of 22

Goals:

Classify exponential functions as increasing or decreasing
Solve exponential growth and decay problems.

3 of 22

Warm-up #1

4 of 22

Warm-up #2

5 of 22

Warm-up #1: Graph the given functions

6 of 22

Warm-Up #2

7 of 22

Growth and Decay

8 of 22

9 of 22

10 of 22

11 of 22

12 of 22

13 of 22

14 of 22

15 of 22

16 of 22

17 of 22

Log on to Student.Desmos.com

https://teacher.desmos.com/activitybuilder/custom/57ee9583d2f184680755ac5d

18 of 22

Toss the Squish!

Today I learned... relating to exponential functions.

One question I still have is...

I know that I need to work more on...

19 of 22

Independent Practice: Delta Math

A15: Exponential Functions
Skills	Youtube Links
Exponential Rules (Level 1)
Negative Exponents Timed (Level 1)
Simplifying Radicals (Guided)
Simplifying Radicals
Basic Radical Operations
Multiply/Divide Radical Expressions
Adding/Subtracting Radical Expressions
Exponential and Radical Form
Exponential Functions - Basic
Nth Term of a Geometric Sequence
Table to Exponential Function
Exponential from Two Points (Level 1)

20 of 22

Resources

Warm-up from Carnegie Learning 2018
Notes adapted from Carnegie Learning 2018

21 of 22

Mod 6 Standards

http://education.ohio.gov/getattachment/Topics/Learning-in-Ohio/Mathematics/Ohio-s-Learning-Standards-in-Mathematics/ALGEBRA-1-Standards.pdf.aspx?lang=en-US

�A.SSE.3 Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.�C. Use the properties of exponents to transform expressions for exponential functions. For example 8^t can be written as 2^3t.

A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Include equations and inequalities arising from linear, quadratic, simple rational, and exponential functions.�a. Focus on applying linear and simple exponential expressions.

A.CED.2 Create equations in two or more variables to represent relationships between quantities graph equations on coordinate axes with labels and scales.�a. Focus on applying linear and simple exponential expressions.

F.LE.1 Distinguish between situations that can be modeled with linear functions and with exponential functions.�c. Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.

F.LE.2 Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

F.LE.5 Interpret the parameters in a linear or exponential function in terms of a context.

F.BF.1 Write a function the describes a relationship between two quantities. a. Determine an explicit expression, a recursive process, or steps for calculation from context. i. Focus on linear and exponential functions.

F.IF.9 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.�b. Focus on linear, quadratic, and exponential functions.

22 of 22

Warm-up #2

Write an exponential function through the given points:

(0, 10) & (9, 5120) ( 0, 20) & (8, 5120) (0, 7) & (5, 1701)

Reminder: