Lesson Plan
Curated OER

Exercise Set 1.5: Inverse Functions

For Teachers 11th - Higher Ed
In this inverse functions worksheet, students review inverse functions. They solve 66 questions. Problems cover a wide variety of types. Students graph functions and their inverses, they identify one-to-one functions and the domains and...
Lesson Plan
Curated OER

Functions and Statistics: International Space Station: Up to Us

For Teachers 5th - 8th
Young scholars explore how the International Space Station was built and how it provides first-hand experiences with the space program. They view the NASA engineers discussing the major components of the International Space Station,...
Lesson Plan
Curated OER

Linear Piecewise Functions

For Teachers 10th - 12th
Students explore the concept of piecewise functions. In this piecewise functions activity, students graph piecewise functions by hand and find the domain and range. Students make tables of values given a piecewise function. Students...
Lesson Plan
Curated OER

Graphs and Transformations of Functions

For Teachers 8th - 10th
Is it possible to solve quadratic equations by factoring? It is, and your class will graph quadratic equation and functions too. They perform transformation on their graphs showing increasing and decreasing intervals, domain, and range....
Lesson Plan
Curated OER

Similarities and Differences in Properties of Different Families of Functions - An Investigation

For Teachers 9th - 12th Standards
Exploring families of functions allows students compare and contrast properties of functions.  Students discuss properties that include symmetry, max and min points, asymptotes, derivatives, etc.
Lesson Plan
Curated OER

Worksheet 4, Functions

For Teachers 8th - 9th
Eighth and ninth graders graph a given function and identify the domain, range and intercepts. Theytell the intervals that the function is increasing, decreasing, or constant. Pupils identify the minimum and maximum of the graph, and...
Worksheet
Curated OER

Functions Quiz

For Students 11th - Higher Ed
In this college level algebra worksheet, pupils determine the domain and range of a function, determine the average rate of change given an interval and the function, and graph a polynomial function. The two-page worksheet contains four...
AP Test Prep19:26
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Flipped Math

Calculus AB/BC - Determining Concavity of Functions over Their Domains

For Students 10th - 12th
Time to take a second look at derivatives finding concavity. While watching the video, learners find out the definition of concavity. Individuals see how to determine whether an interval is concave up or concave down using graphs and the...
Worksheet
Curated OER

Graphing Rational Functions

For Students 11th
In this Algebra II activity, 11th graders graph rational functions and use the graph to solve real-life problems. The four page activity contains forty-one problems. Answers are not provided.
Worksheet
Curated OER

Functions

For Students 11th
For this functions worksheet, 11th graders solve and complete 30 various types of multiple choice problems that include reading and interpreting functions and patterns. First, they determine the table that best represents a function....
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...
Activity
Illustrative Mathematics

Exponentials and Logarithms II

For Teachers 8th - 12th Standards
Learners are given a logarithmic function and its inverse exponential function. The task, which is to graph both compositions of the two functions, uses the inverse nature of exponents and logarithms to generalize about the properties of...
Lesson Plan
West Contra Costa Unified School District

Derivative – Standard Definition

For Teachers 11th - Higher Ed
Making a clear connection to algebra concepts helps learners understand the definition of a derivative. The lesson begins with looking at limits of simple linear and rational functions, and leads to the definition of the...
Lesson Plan
Curated OER

Twenty-One Domain and Range Problems

For Teachers 11th - 12th
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.
Worksheet
Curated OER

Quiz: Exponential Functions

For Students 10th - 12th
With this quiz, high schoolers solve 10 different problems that include various exponential functions. First, they determine where the graph of a point intersects at what origin. Then, they determine the domain and range. In addition,...
Worksheet
Curated OER

Domain and Range

For Students 7th - 9th
In this domain and range worksheet, students write the definitions for relation, function, domain and range. They then find the domain and range of 7 sets of ordered pairs. Finally, students answer 4 questions regarding inverse relations...
Lesson Plan
Curated OER

Piecewise-Defined Functions 2

For Teachers 10th
In this Piecewise-Defined function worksheet, 10th graders identify the function for a given graph. Additionally, they find the y-intercept, y-intercept, domain, range and interval of each function. Students solve this information for...
Lesson Plan
Curated OER

Fifty-Eight Inverse and On-To-One Questions

For Teachers 8th - 11th
In this inverse function worksheet, students sketch inverses, find inverse functions, confirm pairs of functions are inverses, determine functions are one-to-one, and complete tables for one-to-one functions in fifty-eight questions.
Lesson Plan
Curated OER

The Algebra of Functions

For Teachers 8th - 9th
Eighth and ninth graders add, subtract, multiply and divide functions as directed. Each problem is written in function notation, and the operation is shown in the same way. For example, students may be directed to find (f+g)(x). They are...
Lesson Plan
Curated OER

Exponential Functions

For Teachers 11th - 12th
With this two-page resource, learners evaluate and graph exponential functions. There are 48 questions using logs and exponents as the parent function.
Lesson Plan
Curated OER

Domain and Range

For Teachers 9th - 12th Standards
Your class will grasp the concept of domain-and range on a graph by using their TI navigator to graph their lines. They observe the effect of a function and non-functions based on the domain and range.
Lesson Plan
Curated OER

Application of Function Composition

For Teachers 9th - 12th Standards
Young mathematicians solve composition of functions. They add, subtract, multiply and divide functions and then identify the domain and range of each function. An embedded animation shows three different applications of function...
Lesson Plan
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West Contra Costa Unified School District

Standard Form of Conics

For Students 9th - 12th Standards
Looking for a complete go-to guide for the standard form of conics? This five-page packet does a nice job of connecting conics to prior knowledge of functions and transformations. Adapt the resource as Algebra II lesson plan...
Lesson Plan
Curated OER

Domains

For Teachers 9th - 12th Standards
Your algebra learners work to address the order of operations applied to an expression's input variable and the limitations that may be created because of it. This simple task of a few very well-chosen exercises is elegant in it's way of...