Handout
University of Notre Dame

The Natural Exponential Function

For Students 11th - 12th Standards
Ready to apply the concepts related to the natural exponential equations and logarithmic equations? A math lesson reviews concepts from inverse properties to solving to derivatives and integrals. 
Performance
Radford University

Linear Equations in Real Word Problems

For Teachers 9th - 12th Standards
Make up a story about a linear graph. Scholars identify key features of a linear graph, such as intercepts, domain and range, and slope. They then create a word problem that could be represented by the graphed line.
Lesson Plan
EngageNY

Graphing Cubic, Square Root, and Cube Root Functions

For Students 9th - 10th Standards
Is there a relationship between powers and roots? Here is a instructional activity that asks individuals to examine the graphical relationship. Pupils create a table of values and then graph a square root and quadratic equation. They...
Worksheet
Curated OER

Discussion Sheet 1: Domain & Range of a Function

For Students Higher Ed
In this domain and range learning exercise, students solve inequalities, determine the domain and range for a function, identify the limits, and sketch graphs of a function. This two-page learning exercise contains nine multi-step...
Worksheet
Curated OER

Discussion Sheet 2: Domain and Range

For Students Higher Ed
In this domain and range worksheet, students determine the domain and range of a function, compute the limits of a function, and use the intermediate value theorem to verify that an equation is solvable. This one-page worksheet contains...
Worksheet
Curated OER

Chapter 10-Relations and Functions, Practice Test

For Students 8th - 10th
In this intermediate algebra worksheet, students solve 20 multiple choice problems. Problems range from finding the domain and range of a function to identifying the graph of an inverse of a function.
Worksheet
Curated OER

Functions

For Students 9th
In this functions worksheet, 9th graders solve and complete 12 different multiple choice problems. First, they use the function machine shown to determine the value of a number. Then, students find the zero of various functions. They...
Worksheet
Curated OER

Simplifying Functions

For Students 11th
In this simplifying functions worksheet, 11th graders solve and complete 11 different types of problems. First, they simplify each function as necessary. Then, students state the vertical asymptotes, holes, horizontal asymptotes, domain...
Worksheet
Curated OER

Exponential Decay Functions

For Students 7th - 8th
In this exponential functions worksheet, students solve and complete 13 various types of problems. First, they state whether the table represents an exponential function or not and why. Then, students graph each function and identify its...
Worksheet
Curated OER

Challenge Discussion Sheet 1: Function

For Students Higher Ed
In this function discussion sheet, students determine the domain and range of each function and sketch the graph of each. They determine limits of given functions. This one-page worksheet contains thirteen problems.
Lesson Plan
Curated OER

Four Steps to Find Inverse Functions

For Teachers 8th - 11th
In this inverse functions reference worksheet, students are presented with the four sets used to find an inverse function given a function equations.
Worksheet
Curated OER

Relations

For Students 10th
In this relations worksheet, 10th graders solve and complete 7 different problems that include defining various relations of number sets. First, they state the domain and range of each relation. Then, students express the relations shown...
Worksheet
Curated OER

Relations

For Students 10th
In this relations worksheet, 10th graders solve and complete 10 different problems that include defining various forms of relations. First, they state the domain and range of each relation. Then, students express the relation shown in...
Lesson Plan
1
1
West Contra Costa Unified School District

Introduction to Logarithms

For Teachers 9th - 12th Standards
Build on pupils' understanding of inverse functions by connecting logarithmic functions to exponential functions. This activity allows individuals to see graphically the inverse relationship between an exponential and logarithmic...
eBook
Rice University

Precalculus

For Students 11th - Higher Ed Standards
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
Worksheet
University of North Texas

Math Exam 1 Review

For Students 9th - 12th Standards
Perfect as a review guide, this learning exercise provides a range of questions focusing on functions. Topics include composing functions, transformations, domains, and polynomials. Also included are corresponding worksheets focusing on...
Lesson Plan
Curated OER

Tour + Workshop = DESIGN: Form Follows Function

For Teachers 3rd - 5th
Students design a chair with function in mind. In this design lesson plan, students design a chair out of newspaper that is strong enough to hold a "peanut ball". Students discuss how the form follows the function. This lesson plan...
PPT
Curated OER

Intersecting Graphs

For Teachers 9th - 10th
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...
Lesson Plan
Curated OER

Power Function Inverses

For Teachers 9th - 12th Standards
Pupils graph polynomial functions and analyze the graphs. They identify the inverse of the functions and find the domain and range. Learners will then label the functions as one to one and use the horizontal and vertical line test to...
Lesson Plan
Curated OER

Functional Analysis

For Teachers 9th - 10th
Students perform functional analysis. In this pre-calculus lesson, students recognize the different elements of a function, graph a function and analyze it. They synthesize composites of other basic functions.
Lesson Plan
Virginia Department of Education

Exponential Modeling

For Teachers 10th - 12th
Investigate exponential growth and decay. A set of six activities has pupils collecting and researching data in a variety of situations involving exponential relationships. They model these situations with exponential functions and solve...
Lesson Plan
Virginia Department of Education

Logarithmic Modeling

For Teachers 10th - 12th
Explore logarithms and logarithmic regression. Young mathematicians first learn about inverse functions and about the logarithm function family. They take their newfound knowledge to use logarithmic functions to model situations and...
Lesson Plan
Curated OER

Graphing Exponentials

For Teachers 9th - 12th Standards
Bring your Algebra class to the computer lab! Using materials created by Texas Instruments, they explore exponentiasl and graphs. Be sure to download the correct materials (on the right side of the webpage) before having them walk...
Lesson Plan
Virginia Department of Education

Square Patios

For Students 8th - 10th Standards
Build a patio from toothpicks and marshmallows to analyze functions! Learners look for patterns in the data as they create different size patios. As they discover patterns, they make connections between the different representations of...

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