Curated OER
Exponential Reflections
High Schoolers explore the concept of exponential reflections. They use their Ti-Nspire to reflect the natural logarithm function over the line y=x. Students repeat the process using different exponential functions using a slider.
CK-12 Foundation
Tangent Graphs: Slope and Angle
Learning about tangents doesn't have to be a slippery slope. Pupils drag a point around a unit circle to see how angle affects the slope of a line. They individually answer a set of challenge questions to come to the conclusion that...
Virginia Tech
Unit Plan: Exponential and Logarithmic Functions
A six-day unit for algebra II on exponential and logarithmic functions builds upon Chapter 12 of Merrill Algebra II with Trigonometry; Applications and Connections. The text provides assistance in the depth of instruction and homework...
Curated OER
The King's Chessboard
Middle schoolers speculate on the better rate of pay: a dollar a day for 10 days, or a penny the first day, two pennies the second, doubling each day for 10 days. Start by listening to the story The King's Chessboard, by David Birch....
Curated OER
Solving Logarithmic Equations
High schoolers solve logarithmic equations. They graph and plot logarithmic functions and use algebraic steps and the calculator to simplify and solve the equations.
Curated OER
Characteristics of Exponential Functions
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...
Curated OER
Infestation to Extermination
Students solve problems with exponential growth and decay. In this calculus lesson, students relate exponential functions to infestation and extermination. They take the derivative to find their answer.
Curated OER
Compound Interest
Pupils analyze the variables in the formula of a compound interest. They model the increase or decrease of an investment using compound interest and discuss different compounding periods.
Curated OER
Spreading Doom
Students explore the pattern created by a sequence or series. For this geometry lesson, students relate the spread of a virus to the growth of exponential functions. They collect data as they analyze the sequence created by the growth.
Curated OER
Families of Functions
Learners use sliders to change the parameters of functions and examine how shifting parameters affects a graph. They identify the parameters of functions, find vertical and horizontal stretches, then calculate the scale factor and other...
Curated OER
Exponential Functions f(x) = abx
Students define exponential functions and graph the equation. In this algebra lesson plan, students discuss exponential growth and decay as they graph their functions. They differentiate between the base of growth and decay.
Curated OER
Comparing Linear and Exponential Data
Learners graph linear and exponential equations. In this algebra instructional activity, students differentiate between linear and exponential equations. They relate it to the real world.
Curated OER
Exploring Exponential Models
Explore the difference between exponential growth and decay with this worksheet. Use tables, graphs, and algebraic methods to gain insight. The notion of an asymptote is also introduced.
Curated OER
Exploring the Exponential Function
Learners collect and analyze data regarding exponential functions of the form y = abx. Students explore the affects of changing parameters on the graph of the function.
Curated OER
Home Sales Records
Teach your class how to calculate monthly payments on a home mortgage. For this percent lesson, students calculate the monthly payment on a home mortgage, and compare different lengths of time and the interest rates for national median...
Curated OER
Wrapping It All Up
Through learning how to examine linear, quadratic, and exponential functions, students explore the effects of changes in parameters on the graphs of linear, quadratic, and exponential functions. The lesson is designed to be a review of...
Curated OER
Exponential Reflections
Explore the natural log function through the investigation of inverse of the exponential functions by plotting the inverse of the exponential solution points. Students examine the results to determine that the inverse is the natural log...
Curated OER
Name That Tune: Matching Musical Tones Through Waveform Analysis
Pupils detect the waveform of musical notes to determine the code for the "safe" in this forensics simulation lesson. They use a microphone and tuning forks along with Vernier EasyData on their graphing calculator to analyze five musical...
Curated OER
TI-Nspire Activity: What Does Your Representation Tell You?
By learning to select the best representation for three meal plans, students compare three meal plans to determine the best choice. Data for the meal plans is sorted on a table, as an algebraic equation, and graphed on a coordinate grid....
Texas Instruments
Logistic Growth, Differential Equations, Slope Fields
Investigate differential equations with your class. They use the TI-89 to explore differential equations analytically, graphically, and numerically as the examine the relationships between each of the three approaches.
Texas Instruments
Buying Your First New Car!
Learners explore exponential growth and decay using M&M’s in this Algebra II/Pre-calculus lesson plan. They investigate the cost of a new car by calculating depreciation and payments.
Curated OER
Paying College Tuition
The investigation of exponential equation in the context of increasing college tuition costs is explored through this lessib. Young scholars write exponential equations based on the percent of change of college tuition and use their...
Curated OER
Chill Out: How Hot Objects Cool
Teach how to explore exponential equations. In this Algebra II lesson, learners investigate the graph that occurs as a hot liquid cools. Students model the data algebraically.
Curated OER
NUMB3RS Activity: Exponential Growth
Mathematicians investigate exponential growth by exploring two different options for receiving allowance. Learners use technology to compare a linear function with a constant rate of growth to a function that grows exponentially where...