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
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
Curated OER

A Valuable Quarter

For Teachers 9th - 12th Standards
Your young bankers model an account balance with an exponential function and solve the equation by extracting a root or taking a logarithm. The task involves the context of annual and compounding interest as well as some interesting...
Lesson Plan
Curated OER

Two Points Determine an Exponential Function I

For Teachers 9th - 12th Standards
Learners construct an exponential function from a graph, and two given points on the graph, as they analyze what makes up an exponential function.
Lesson Plan
1
1
Curated OER

Exponential Growth Versus Linear Growth I

For Teachers 9th - 12th Standards
Your algebra learners will discover how quickly an exponential function value grows compared to a linear function's value. Making a table of values helps in this comparison, set in the context of making a wage for raking leaves.
Lesson Plan
Curated OER

Exponential Functions

For Teachers 9th - 12th Standards
Your algebra learners analyze and interpret the general form and the graph of two functions. The increase of the function due to the multiplicative factor is emphasized.
Assessment
Illustrative Mathematics

Carbon 14 Dating in Practice I

For Students 9th - 12th Standards
How old is the plant? Here is a task that presents the exponential decay function for carbon 14 in a plant. Pupils use the function to estimate the amount of carbon 14 in the plant when it died and analyze the function to find what...
Lesson Plan
Curated OER

What Functions do Two Graph Points Determine?

For Teachers 9th - 12th Standards
Your algebra learners write linear, exponential, and quadratic equations containing the same two graph points in this collaborative task.
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.
Assessment
1
1
CCSS Math Activities

Smarter Balanced Sample Items: High School Math – Claim 4

For Teachers 9th - 12th Standards
What is the appropriate model? Sample problems show the extent of the Smarter Balanced assessments Claim 4, Modeling and Data Analysis. Items provide pupils the opportunity to use mathematical modeling to arrive at a reasonable answer....
Lesson Plan
EngageNY

Analyzing a Verbal Description

For Teachers 9th - 10th Standards
What function will describe the insect population growth? Pairs or small groups work together to determine which type of function and specific function will model given scenarios. The scenarios differentiate between linear,...
Lesson Plan
EngageNY

Modeling a Context from Data (part 1)

For Teachers 9th - 10th Standards
While creating models from data, pupils make decisions about precision. Exercises are provided that require linear, quadratic, or exponential models based upon the desired precision. 
Lesson Plan
EngageNY

Modeling a Context from Data (part 2)

For Teachers 9th - 10th Standards
Forgive me, I regress. Building upon previous modeling activities, the class examines models using the regression function on a graphing calculator. They use the modeling process to interpret the context and to make predictions...
Lesson Plan
Curated OER

Rising Gas Prices – Compounding and Inflation

For Teachers 9th - 12th Standards
Financial literacy skills and exponential models are connected by the compound interest formula in this task centered on inflation calculations. Collaborative learners get experience collecting data from the given websites and exploring...
Assessment
Mathematics Assessment Project

“Ponzi” Pyramid Schemes

For Students 8th - 9th Standards
Use mathematics to show your classes the power of a good model. Young mathematicians analyze the famous Ponzi pyramid scheme using an exponential pattern. They make conclusions on the reliability of the plan and why it is illegal. 
Assessment
Concord Consortium

Rising Prices

For Students 9th - 12th Standards
What will that cost in the future? The scenario provides pupils with a growth as a Consumer Price Index. Learners create functions for a given item to determine future prices and graph them. Class members then compare their functions to...
Assessment
1
1
Balanced Assessment

Catenary

For Students 11th - 12th
Develop a model for a hanging chain. Pupils find a mathematical model for a hanging chain and then they compare their models to the precise function that models the curve. Scholars come up with a strategy to determine how close...
Lesson Plan
Curated OER

Illegal Fish

For Teachers 9th - 12th Standards
Your young fishermen learn about exponential function growth by interpreting the pieces of the given equation within the context of numbers of fish in a lake.
Lesson Plan
EngageNY

Modeling a Context from a Verbal Description (part 2)

For Teachers 9th - 10th Standards
I got a different answer, are they both correct? While working through modeling problems interpreting graphs, the question of precision is brought into the discussion. Problems are presented in which a precise answer is needed and...
Activity
Curated OER

Carbon 14 Dating in Practice II

For Teachers 9th - 12th Standards
  Your archaeologists combine proportional reasoning with exponential functions in a real-life task centered on Carbon 14 dating.          
Activity
Curated OER

Carbon 14 Dating in Practice I

For Teachers 9th - 12th Standards
Analyzing and evaluating exponential functions will help your archaeologists find the amount of Carbon 14 remaining in a plant in this real-life task centered on carbon dating. Learners will also be introduced to the concept of...
Lesson Plan
Curated OER

Basketball Bounces, Assessment Variation 2

For Teachers 9th - 12th Standards
This un-scaffold summative assessment tasks learners to use the height of a bouncing basketball, given the data in graph and table form, to choose the model that is represented. Learners then use the model to answer questions about...
Lesson Plan
1
1
Curated OER

A Saturating Exponential

For Teachers 9th - 12th Standards
Your learners analyze the familiar model of a cold beverage warming when it is taken out of the refrigerator. The general form of the equation and its graph are presented. Learners learn about the specific pieces of the function by...