CK-12 Foundation
Ck 12: Identifying Function Models: Linear, Exponential, and Quadratic Models
[Free Registration/Login may be required to access all resource tools.] Learn how to distinguish between linear, exponential, and quadratic models.
Khan Academy
Khan Academy: Exponential vs. Linear Models
Given a description of a real-world relationship, determine whether that relationship is linear or exponential.
Illustrative Mathematics
Illustrative Mathematics: F Le Exponential Kiss
The purpose of this task is to use technology to study the behavior of some exponential and logarithmic graphs and to manipulate some explicit logarithmic and exponential expressions. Aligns with HSF-LE.A.4, F-BF.B.5, and F-IF.C.7.e.
Illustrative Mathematics
Illustrative Mathematics: F Bf Exponentials and Logarithms Ii
The purpose of this task is to help students see that the definition of the logarithm as an exponent results in an inverse relationship between the exponential and logarithm functions with the same base. This prepares them to think about...
Purple Math
Purplemath: Logarithms: Introduction to "The Relationship"
Purplemath does a wonderful job of explaining logarithms. The lesson begins with a discussion of the relationship between logarithms and exponentials and very simple examples. The lesson gives important information regarding logarithms...
Texas Instruments
Texas Instruments: The Inverse Relationship Between Pressure and Volume
In this activity, students' will use a pressure sensor to investigate the relationship between pressure and volume for an enclosed air sample, and fit an inverse function model to the pressure versus volume data.
Other
Nearpod: Relationship of Exponents & Logarithms
In this lesson, learners will learn how exponents and logarithms are connected and how to evaluate logarithms.
Texas Instruments
Texas Instruments: Compound Interest: Show Me the Money
This is an activity at the conclusion of the exponential relationship unit where students have experience with equations in the form y=a*b^x. Students use the random integer function on theTI-83 Plus to generate a rate of return for the...
Illustrative Mathematics
Illustrative Mathematics: F Le Algae Blooms
This problem examines the growth of algal blooms in Chesapeake Bay. Students build an exponential function modeling algae concentration based on the information provided, and gain an appreciation for the exponential growth exhibited...
Illustrative Mathematics
Illustrative Mathematics: F Le Snail Invasion
In this task, students investigate the power of exponential growth in this real-world example of an invasive species that was introduced to Florida in 1966, a giant snail. Aligns with F-LE.A.2 and F-LE.A.4.
Illustrative Mathematics
Illustrative Mathematics: F Le a Valuable Quarter
The context of this task is that a quarter was put into a bank account in 1901 and students are asked to calculate its value in 2013 at two different interest rates. Those amounts are compared to the appreciation rate of a rare and...
Texas Instruments
Texas Instruments: Now You See It, Now You Don't
In this activity, students study the relationship between age and near point accommodation (NPA). They predict a person's age using NPA distance values. They use exponential regression, create box-and-whisker plots and histograms.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Exponenciales Y Logaritmicas
In this activity you will learn how to differentiate and solve logarithmic equations and observe the relationship between logarithmic and exponential equations.
Illustrative Mathematics
Illustrative Mathematics: F Bf Exponentials and Logarithms I
The purpose of this task is to help learners see the "why" behind properties of logs that are familiar but often just memorized (and quickly forgotten or misremembered). The task focuses on the verbal definition of the log, helping...
National Institute of Standards and Technology (NIST)
Nist: Engineering Statistics Handbook: Scatter Plots and Linear Regression
An explanation of scatter plots followed by examples of the many different kinds of scatter plots.
Texas Instruments
Texas Instruments: Explore Graphs and Factors
Students use a graphing calculator to explore the relationship between the linear factors of a quadratic function and its zeros. They learn that the x-intercepts and axis of symmetry of a quadratic function can be determined from its...
Texas Instruments
Texas Instruments: Muddy Water Adventure 8
Students use a light sensor to analyze the effect of storm water run-off on the turbidity of local water. They interpret and analyze scatter plots and understand exponential relationship.
Khan Academy
Khan: Lsn 8: Interpreting Relationships in Scatterplots/graphs/tables/equations
This lesson focuses on Interpreting and analyzing linear, quadratic, and exponential models and graphs. Students will use best fit lines to interpret contexts, distinguish whether contexts are linear or exponential functions, use the...
Physics Aviary
Physics Aviary: Quick Graph 3.0
This program was designed as a quick graphing program that students could use on a computer, tablet or smart phone when a more complex graphing program is not available. This program will let students plot up to 10 data points and then...
Texas Instruments
Texas Instruments: How High Will It Bounce?
In this activity, students collect the height versus time data of a bouncing ball using the CBR 2. They find the relationship between the bounce number and the bounce height. They learn to graph scatter plots, calculate the maximum value...
NC State University
Nc State University: Population Dynamics
Students will understand the ecological concepts behind population dynamics of wildlife species.
CK-12 Foundation
Ck 12: Analysis: Binomial Theorem and Expansions
[Free Registration/Login may be required to access all resource tools.] Exploring the relationship between Pascal's Triangle and the Binomial Theorem
TeachEngineering
Teach Engineering: Bone Mineral Density and Logarithms
Students examine an image produced by a cabinet x-ray system to determine if it is a quality bone mineral density image. Students write in their journals about what they need to know to be able to make this judgment. Students learn about...
Khan Academy
Khan Academy: Algebra Ii: Evaluate Logarithms
Evaluate basic logarithmic expressions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.