Virginia Department of Education
Functions: Domain, Range, End Behavior, Increasing or Decreasing
Examine key features of various functions through exploration. A comprehensive lesson has learners describe the domain, range, end behavior and increasing/decreasing intervals of various functions. Function types include linear,...
CK-12 Foundation
Linear, Exponential, and Quadratic Models: Bernoulli Effect
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...
02 x 02 Worksheets
Inverse Functions
Young mathematicians look for patterns in inverse functions as they relate to the original functions. The comprehensive lesson emphasizes vocabulary throughout as well as algebraic and graphical characteristics of the inverse functions.
Curated OER
Pre-calculus Unit 3 Test 2
Students will solve exponential function problems, graph exponential functions, find the value of logarithms, determine future value, and compound interest. In this Pre-calculus lesson, students will use the properties of logs to solve...
EngageNY
Analyzing a Verbal Description
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,...
EngageNY
Modeling a Context from Data (part 1)
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.
EngageNY
Modeling a Context from Data (part 2)
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...
Mathematics Vision Project
Module 7: Modeling with Functions
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...
Alabama Learning Exchange
Building Functions: Composition of Functions
Hammer away at building different types of functions. An engaging activity builds on learners' knowledge of domain and range to create an understanding of composite functions. Young scholars learn to write composite functions...
Curated OER
Twenty-One Domain and Range Problems
In this domain and range worksheet, students identify the domain and/or range for twenty-one free-response and multiple choice problems. The functions include trigonometric functions. The solutions are provided.
Curated OER
Exponential Population Growth
In this exponential population growth instructional activity, students read word problems and determine the exponential growth of a specified populations. They find the percent of growth and compute exponential regressions. ...
Curated OER
Exponential Functions and the Natural Logarithm
Students solve exponential and log functions. For this algebra lesson, students graph natural log and logarithmic functions. They compare and contrast between logs and the exponential graphs.
Curated OER
Integrated Algebra Practice: Exponential Growth
In this exponential growth worksheet, students solve 10 multiple choice and short answer problems. Students find the interest of an amount of money given the rate, time, and times compounded.
Curated OER
Intersecting Graphs
Ninth graders know how to solve a system of linear equations, but what happens when the system involves an exponential function? The instructional slideshow teaches viewers to determine solutions to systems of equations with linear...
Curated OER
Integrated Algebra/Math B Regents Questions: Exponential Equations
In this exponential equations instructional activity, students solve 11 word problems in short answer and multiple choice format. Students write and solve exponential growth and decay problems given a word problem.
Curated OER
A Penny Saved is a Penny Earned
Students explore the concept of exponential growth. In 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. ...
Curated OER
Leap Into Exponential Functions
Students use properties of exponents to solve equations. In this algebra lesson, students add, subtract, multiply and divide exponential functions. They graph and differentiate between exponential growth and decay.
Curated OER
Rising Gas Prices – Compounding and Inflation
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...
PBL Pathways
What Should Have Happened on Gilligan's Island?
"Just sit right back and you'll hear a tale ..." Gilligan's Island is a classic that spans generations and offers a problem-solving opportunity for scholars. Take a project-based learning approach to examine the population of the island....
Mathematics Assessment Project
“Ponzi” Pyramid Schemes
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.
EngageNY
The Graph of the Natural Logarithm Function
If two is company and three's a crowd, then what's e? Scholars observe how changes in the base affect the graph of a logarithmic function. They then graph the natural logarithm function and learn that all logarithmic functions can be...
Curated OER
Exponential and Logarithmic Equations
In this Algebra II/Pre-calculus worksheet, students solve logarithmic and exponential equations in problem solving situations. The three page worksheet contains eleven problems. Answers are not provided.
Concord Consortium
Rising Prices
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...
EngageNY
Choosing a Model
There's a function for that! Scholars examine real-world situations to determine which type of function would best model the data in the 23rd installment of a 35-part module. It involves considering the nature of the data in addition to...