Curated OER
US Households
Learners construct and use inverse functions to model a real-world context. They use the inverse function to interpolate a data point.
Curated OER
Temperature Conversions
Your young weather buffs use compositions and inverses of functions to convert between Celsius, Fahrenheit, and Kelvin degrees. Then they analyze possible compositions and whether they exist in the real-life context.
Curated OER
Inverse Relations and Functions
For this algebra worksheets, students find the inverse of a given function by switching the y with the x. They graph the different functions and identify the difference. This worksheet includes thoughtful questions and worked examples.
Curated OER
Twenty Inverse Function Problems with Graphing
In this function inverse activity, students state if the given functions are inverses in eight problems, find the inverse function in eight more problems. Students also find the inverse function and graph the original and inverse...
Curated OER
Inverse Linear Functions
Students solve for the inverse functions. In this algebra lesson plan, students graph the inverse function and analyze it. They solve and manipulate equations using the calculator.
Curated OER
Inverse Variation
In this algebra worksheet, students find the inverse of an equations. They graph their solutions and analyze it. There are 8 questions.
Curated OER
Inverse Trig Functions: Chain Rule
In this trigonometric functions worksheet, students differentiate inverse trigonometric functions using the chain rule. There are 15 questions.
Curated OER
Differentiation of Inverse Functions
In this calculus worksheet, students solve three problems regarding the differentiation of inverse functions. Students are also asked to show that a function is one to one and to evaluate functions at a given value.
Curated OER
Exercise Set 3.3: Variation
In this variation worksheet, students solve 26 variation problems. Students determine the missing variable by using joint, direct, or inverse variation.
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. Learners examine the results to determine that the inverse is the natural log...
Curated OER
Linear Equations
Students solve systems of linear equations by using inverse matrices lead by a class discussion. They write the identities of the matrices given, review, and grade as a class. Students also write the matrix as the product of the...
Virginia Department of Education
Types of Variations
Scholars determine how two quantities vary with respect to each other. They complete a fill-in-the-blank activity by stating whether the entities vary directly, inversely, or jointly, create equations that match different variations, and...
Concord Consortium
You Are What You Drive
Grab the wheel in learning about functions. A short performance task challenges young mathematicians to develop a function that describes the cars eight people drive. They consider whether the inverse of the function exists. If not, they...
EngageNY
Complex Number Division 2
Individuals learn to divide and conquer complex numbers with a little help from moduli and conjugates. In the second instructional activity on complex number division, the class takes a closer look at the numerator and denominator of the...
West Contra Costa Unified School District
Introduction to Logarithms
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...
EngageNY
When Can We Reverse a Transformation? 3
When working with matrix multiplication, it all comes back around. The 31st portion of the unit is the third instructional activity on inverse matrices. The resource reviews the concepts of inverses and how to find them from the previous...
Mathematics Vision Project
More Functions, More Features
Learners tackle a wide range of intimidating topics in this comprehensive unit that spans piecewise functions, absolute value of functions, and inverse functions (among other topics). Investigative group work alternates with more...
EngageNY
Using Matrix Operations for Encryption
Data encryption is an important security measure for sensitive data stored on computers. Pupils learn how to utilize matrices for creating code. They also get a great review of matrix multiplication, inverse matrices, and the identity...
EngageNY
Solving Equations Involving Linear Transformations of the Coordinate Plane
How can matrices help us solve linear systems? Learners explore this question as they apply their understanding of transformation matrices to linear systems. They discover the inverse matrix and use it to solve the matrix equation...
Mathematics Vision Project
Module 7: Trigonometric Functions, Equations, and Identities
Show your class that trigonometric functions have characteristics of their own. A resource explores the features of trigonometric functions. Learners then connect those concepts to inverse trigonometric functions and trigonometric...
Curated OER
One-to-One Functions; Inverses
In this functions worksheet, students determine whether or a function is one-to-one. If it is one-to-one, then they find the inverse.
Illustrative Mathematics
Accuracy of Carbon 14 Dating II
The scientific issue of carbon-14 dating and exponential decay gets a statistics-based treatment in this problem. The class starts with a basic investigation of carbon content, but then branches out to questions of accuracy and ranges of...
EngageNY
Revisiting the Graphs of the Trigonometric Functions
Use the graphs of the trigonometric functions to set the stage to inverse functions. The lesson reviews the graphs of the basic trigonometric functions and their transformations. Pupils use their knowledge of graphing functions to model...
Key Curriculum Press
Applications of Exponential Functions
Exponential functions are the name of the game. Young mathematicians can work through each of the eight worksheets by evaluating functions, applying logarithms, completing logarithmic functions, and building inverse functions. This would...
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