Lesson Plan
EngageNY

Graphs of Exponential Functions

For Students 9th - 10th Standards
What does an exponential pattern look like in real life? After viewing a video of the population growth of bacteria, learners use the real-life scenario to collect data and graph the result. Their conclusion should be a new type of...
Lesson Plan
Curated OER

Comparing Exponentials

For Teachers 9th - 12th Standards
Growing money exponentially is the context of this scenario that asks learners to compare investments in two certificate of deposit accounts. Your young investment analysts will learn about the exponential characteristics of money...
Lesson Plan
EngageNY

Transformations of the Graphs of Logarithmic and Exponential Functions

For Teachers 10th - 12th Standards
Transform your lesson plan on transformations. Scholars investigate transformations, with particular emphasis on translations and dilations of the graphs of logarithmic and exponential functions. As part of this investigation, they...
Lesson Plan
Curated OER

Characteristics of Exponential Functions

For Teachers 9th - 12th Standards
What can an upper grader do with an exponential function? They can solve and graph it, identify its important characteristic, and differentiate graphs based on shifts in graph bases that are greater or less than one. This 45 minute...
Lesson Plan
Curated OER

Equal Factors Over Equal Intervals

For Teachers 9th - 12th Standards
Exponential functions and their growth rates are explored concretely using tables in a collaborative task. Then the successive quotient is explored algebraically.
Lesson Plan
Curated OER

Carbon 14 Dating, Variation 2

For Teachers 9th - 12th Standards
Your archaeologists begin this task with a table of values to estimate the time passed based on the half-life of Carbon 14 remaining in a plant. They then move on to find when a specific amount of Carbon 14 is present in the same plant,...
Lesson Plan
EngageNY

Newton’s Law of Cooling

For Students 9th - 10th Standards
As part of an investigation of transformations of exponential functions, class members use Newton's Law of Cooling as an exponential model to determine temperature based on varying aspects. The resource makes comparisons between...
Lesson Plan
EngageNY

Irrational Exponents—What are 2^√2 and 2^π?

For Teachers 9th - 12th Standards
Extend the concept of exponents to irrational numbers. In the fifth installment of a 35-part module, individuals use calculators and rational exponents to estimate the values of 2^(sqrt(2)) and 2^(pi). The final goal is to show that the...
Activity
Curated OER

Viral Marketing

For Teachers 9th - 12th Standards
What is "viral marketing" and how does it relate to mathematics? Young mathematicians use exponential functions to develop a mathematical model for a business advertising campaign. Learners then see how their campaigns increase...
Interactive
CK-12 Foundation

Exponential Decay: Cool Sunglasses

For Students 10th - 12th Standards
Who wouldn't want to wear four pairs of sunglasses? Each pair of sunglasses reduces the percent of incoming light by one-half. An interactive tutorial helps young mathematicians build a graph that models this scenario. They...
Lesson Plan
Curated OER

Leap Into Exponential Functions

For Teachers 8th - 10th
Studens identify the properties of exponents. In this algebra lesson plan, students grapha nd solve equaitons of exponential functions. They add, subtract, multiply and divide using exponents.
Lesson Plan
National Council of Teachers of Mathematics

National Debt and Wars

For Teachers 9th - 12th Standards
Take a functional approach to the national debt. Learners collect information about the national debt by decade and plot the data. They determine whether an exponential curve is a good fit for the data by comparing the percent changes...
Lesson Plan
EngageNY

The “WhatPower” Function

For Teachers 9th - 12th Standards
The Function That Shall Not Be Named? The eighth installment of a 35-part module uses a WhatPower function to introduce scholars to the concept of a logarithmic function without actually naming the function. Once pupils are...
Interactive
CK-12 Foundation

Exponential Growth: Exponential, Fractal Snowflakes

For Students 10th - 12th Standards
Examine an exponential growth model. Using a fractal, learners calculate the perimeters of each stage. When comparing the consecutive perimeters, a pattern emerges. They use the pattern to build an equation and make conclusions.
Activity
Howard County Schools

Generous Aunt

For Teachers 9th - 11th Standards
Witness the power of exponential growth with an activity that investigates two different savings plans. Class members create tables of values to see how and when a savings plan increasing exponentially exceeds one increasing linearly.
Interactive
CK-12 Foundation

Geometric Sequences and Exponential Functions: Bouncing Ball

For Students 9th - 12th Standards
Explore a geometric sequence model through a simulation. Learners change the starting drop height of a ball and watch how the heights of following bounces change. They consider the ratio of the consecutive bounces as they analyze...
Lesson Plan
Howard County Schools

Getting Paid for School

For Teachers 9th - 11th Standards
What if you were paid to attend class? What kind of payment schedule would you choose? Learn how exponential functions will eventually exceed linear functions by comparing two different payment schedules for attending class.
Lesson Plan
Curated OER

Exponential Growth versus Polynomial Growth

For Teachers 9th - 12th Standards
Your algebra learners explore the values of two types of functions in order to compare growth rates in this short cooperative task. Two types of solutions are given, using a table of values and an abstract argument.
Unit Plan
Mathematics Vision Project

Module 7: Modeling with Functions

For Students 9th - 12th Standards
The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and...
Lesson Plan
Virginia Department of Education

Functions: Domain, Range, End Behavior, Increasing or Decreasing

For Students 9th - 12th Standards
Examine key features of various functions through exploration. A comprehensive lesson plan has learners describe the domain, range, end behavior and increasing/decreasing intervals of various functions. Function types include linear,...
Interactive
CK-12 Foundation

Linear, Exponential, and Quadratic Models: Bernoulli Effect

For Students 10th - 12th Standards
How can an object as heavy as an airplane fly? Turns out the answer is quadratic! Your classes explore the Bernoulli Effect through an interactive graph representation. As a plane increases in speed, the lift force also increases. Young...
Lesson Plan
02 x 02 Worksheets

Inverse Functions

For Students 10th - 12th Standards
Young mathematicians look for patterns in inverse functions as they relate to the original functions. The comprehensive instructional activity emphasizes vocabulary throughout as well as algebraic and graphical characteristics of the...
Lesson Plan
Curated OER

Exponential Functions and the Natural Logarithm

For Teachers 8th - 12th Standards
Students solve exponential and log functions. In this algebra lesson, students graph natural log and logarithmic functions. They compare and contrast between logs and the exponential graphs. 
Lesson Plan
Curated OER

A Penny Saved is a Penny Earned

For Teachers 9th - 12th
Students explore the concept of exponential growth.  For this exponential growth lesson, students manipulate power models with base 2.  Students discuss what would happen if you doubled a penny over the course of 20 days. ...