Handout
Oregon State University

Calculus Quest: Exponential Functions

For Students 9th - 10th Standards
This CalculusQuest site provides a basic introduction to exponential functions, covering the laws of exponents and exponential growth and decay. At the bottom of the page are links to exponential equations, exercises, and the...
Lesson Plan
Cuemath

Cuemath: Transformation of Functions

For Students 9th - 10th Standards
In this mini-lesson, we will learn about transformations of functions, transformations of exponential functions, and transformations of quadratic functions. Check out the interactive simulations to know more about the lesson and try your...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Comparing Exponentials

For Teachers 9th - 10th Standards
In this task, young scholars work with exponential functions in a real-world context involving continuously compounded interest. They will study how the base of the exponential function impacts its growth rate and use logarithms to solve...
PPT
Sophia Learning

Sophia: Comparing Linear, Quadratic, and Exponential Functions

For Students 9th - 10th Standards
Linear, quadratic and exponential functions have different graphs, equations, and characteristics. In this tutorial, compare the shape of linear, quadratic, and exponential curves on a graph, and explore how to identify a function as...
Activity
Other

University of Edinburgh: Exponential Function

For Students 9th - 10th Standards
This website looks at exponential functions from the perspective of a sequence.
Activity
Analyze Math

Analyze Math: Convert Logarithms and Exponentials

For Students 9th - 10th Standards
The tutorial examines logarithmic functions and exponential functions. The activity consists of examples with detailed solutions.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Equal Factors Over Equal Intervals

For Teachers 9th - 10th Standards
For this task, students investigate the changes that take place in the values of a function to determine that exponential functions grow by equal factors over equal intervals. Aligns with F-LE.A.1.a.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Linear or Exponential?

For Teachers 9th - 10th Standards
In this task, students are asked to identify whether changes are linear or exponential. Aligns with F-LE.A.1.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F if Graphs of Power Functions

For Teachers 9th - 10th Standards
In this task, students are asked to sketch and label the graphs of different (positive) powers of x. Aligns with F-IF.C.7.c.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Boiling Water

For Teachers 9th - 10th
Young scholars are shown two tables of data showing the approximate boiling point of water at different elevations. Both data sets can be modeled by linear functions but with different slopes. When the tables are combined, however,...
Activity
Texas Instruments

Texas Instruments: Explore Graphs and Factors

For Students 9th - 10th Standards
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...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Choosing an Appropriate Growth Model

For Teachers 9th - 10th Standards
The goal of this task is to examine some population data for large cities from a modeling perspective. Students are asked to decide if the population data can be accurately modeled by a linear, quadratic, and/or exponential function, and...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Us Population 1790 1860

For Teachers 9th - 10th Standards
In this task, young scholars are shown a table of U.S. population data between 1790 and 1860 and are asked to explore whether exponential functions would be appropriate to model relationships within the data. The purpose of the task is...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Carbon 14 Dating

For Teachers 9th - 10th Standards
The task requires the student to use logarithms to solve an exponential equation in the realistic context of carbon dating. Aligns with F-LE.A.4.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Basketball Bounces, Assessment Variation 2

For Teachers 9th - 10th Standards
This task asks students to analyze a set of data about the height of a basketball for each time it bounces. They choose a model that reasonably fits the data and use the model to answer questions about the physical context. This second...
Activity
Other

Edinburgh: Natural Logarithm Function

For Students 9th - 10th Standards
Good detailed site explaining the natural logarithm. The site has links to related topics.
Lesson Plan
Khan Academy

Khan: Lsn 8: Interpreting Relationships in Scatterplots/graphs/tables/equations

For Students 9th - 10th Standards
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...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Carbon 14 Dating, Variation 2

For Teachers 9th - 10th Standards
In this task on exponential decay, students calculate what the amount of Carbon 14 left in a preserved plant will be as time passes and when one microgram will be all that is left. Aligns with F-LE.A.1.c.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Graphs of Polynomials Using Zeros

For Students 11th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson students use ''X'' and ''Y'' intercepts to graph polynomials of 3rd degree or higher. Students examine guided notes, review guided practice, watch...
Activity
Other

Math Mistakes: Common Algebra Mistakes

For Students 9th - 10th
Learn from other student's mistakes by reviewing examples of the following Algebra topics: rational expressions, radical expressions, function notation, solving linear equations, solving linear inequalities, solving quadratic equations,...

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