EngageNY
Modeling with Inverse Trigonometric Functions 2
Use inverse trigonometric functions to work with ramps, rabbits, and Talladega. The class models real-world situations with trigonometric functions and solves them using inverses in the 15th installment of a 16-part series. Pupils solve...
EngageNY
Inverse Trigonometric Functions
Build on the understanding of finding angles using trigonometric ratios. Pupils develop the definitions of inverse trigonometric functions by restricting their domains in the 13th lesson of a 16-part series. They use inverse functional...
EngageNY
Modeling with Inverse Trigonometric Functions 1
Where should I stand to get the best view? Pupils use inverse trigonometric functions to determine the horizontal distance from an object to get the best view. They round out the instructional activity by interpreting their answers...
Alabama Learning Exchange
Building Functions: Inverse Functions from Tables and Graphs
Is the inverse a function? Scholars learn how to examine a function to answer this question. Using an online interactive, they examine the properties of inverse functions to compare to the original function.
EngageNY
Inverse Functions
Undo the functions. Learners refresh their knowledge of inverses of functions from Algebra II in the 19th section of a 23-part Precalculus unit. Pupils look at inverses in tables and graphs. They then add to their understanding 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...
EngageNY
The Inverse Relationship Between Logarithmic and Exponential Functions
Introducing inverse functions! The 20th installment of a 35-part lesson encourages scholars to learn the definition of inverse functions and how to find them. The lesson considers all types of functions, not just exponential and...
Alabama Learning Exchange
Building Functions: Reverse to Inverse
Reverse the wrapping to get to the gift. Using the idea of unwrapping a gift, the lesson introduces the concept of inverses. Pupils first determine the order needed to evaluate a function at a point, then use the reverse to find the...
Curated OER
Functions - Intro and Inverses
Define the terms domain, range, function, vertical limit test, and linear function notation with your class. They can then, graph several equations applying the vertical line test to determine which are and which are not functions, write...
Willow Tree
Direct and Inverse Variations
Enhance pupil understanding of proportions and variable relationships by studying direct and inverse variation. Use the idea of a proportional relationship to teach direct variation. Then use a similar pattern to help individuals...
Curated OER
Fifty-Eight Inverse and On-To-One Questions
In this inverse function worksheet, young scholars 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.
Curated OER
Exercise Set 5.4: Inverse Trigonometric Functions
In this trigonometric functions worksheet, students solve 68 multi-part short answer and graphing questions. Students evaluate inverse trigonometric functions for a given value. Students graph inverse trigonometric functions.
K20 LEARN
ADA Accessibility: Inverse Trigonometric Functions
Ramp up using trigonometric ratios. After receiving a request to check school ramps to verify they meet ADA requirements, groups calculate the angle of the incline on ramps on campus. They report their findings via a letter to the...
Curated OER
Logarithmic Functions
Learners explore the characteristics of logarithmic functions and their relationship to exponential functions. Using the subscriber website Explorelearning.com, pupils observe changes in the input variable and its effect on the graph of...
Curated OER
Exponential Functions
Analyze functions by their shape and equation and identify decay and growth based on the equation given. Learners graph their exponential functions and differentiate it using the logarithmic versus the exponential function.
Curated OER
Worksheet 10, Functions and Inverses of Functions
In this algebra worksheet, students find the domain and range of composite functions. They use graphics from an unspecified text to create the graph of the inverse of the drawn function.
Curated OER
Introduction to Graphical and Algebraic Inverses
Solve inverse functions through graphing and algebra. High schoolers will graph inverse functions and use the correct notation to write the equation. They observe a graph and write an equation for the function. In the end, they will be...
02 x 02 Worksheets
Inverse Functions
Young mathematicians look for patterns in inverse functions as they relate to the original functions. The comprehensive lesson emphasizes vocabulary throughout as well as algebraic and graphical characteristics of the inverse functions.
West Contra Costa Unified School District
Introduction to Inverse Functions
Ready to share the beauty of the inverse function with your classes? This algebra II lesson guides the discovery of an inverse function through a numerical, graphical, and an algebraic approach. Connections are made between the three,...
Howard County Schools
Drawing Inverses
An Algebra II lesson draws the connection between the exponential function and its inverse. By graphing an exponential function and using tables and a calculator, students graph the logarithmic function. The plan comes with a...
02 x 02 Worksheets
Inverse Variation
Discover an inverse variation pattern. A simple lesson plan design allows learners to explore a nonlinear pattern. Scholars analyze a distance, speed, and time relationship through tables and graphs. Eventually, they write an equation to...
Virginia Department of Education
Composition of Functions
Analyze functions by decomposing complex functions and composing simple functions. Through a detailed lesson plan, pupils learn the vocabulary and notation related to the composition of functions. Practice includes both evaluating and...
EngageNY
Graphs of Exponential Functions and Logarithmic Functions
Graphing by hand does have its advantages. The 19th installment of a 35-part module prompts pupils to use skills from previous lessons to graph exponential and logarithmic functions. They reflect each function type over a diagonal line...
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.