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.

Investigate the definition of inverse functions graphically. Using the interactive, scholars create a graph of a function and view its resulting inverse. They then determine whether a group of functions have inverses that are also...

Map your way to successfully understanding inverse functions. Pupils use an interactive map to investigate how changes in the graph of a function affect the graph of its inverse. The results of the activity lead to the conclusion that...

Provide a graphical view of inverses. Pupils manipulate points on a line and see the relationship of the graph with the graph of its inverse. Using the relationship between the graphs, scholars respond to questions concerning inverses...

Reverse any loss of knowledge on inverse functions. Individuals watch a video to learn about differentiating inverse functions. They memorize the rule, then see how to apply it in finding derivatives and determining equations of tangent...

Is the inverse of a function also a function? Pupils manipulate the graph of a function to view its inverse to answer this question. Using a horizontal and vertical line, class members determine whether the initial function is...

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...

Nothing better than the original! Help your class understand the relationship of an inverse function to its original function. Learners study the connection between the original function and its inverse through algebraic properties,...

One-to-one means the answer is simple, right? Given four graphs, pupils use a vertical line to test each graph to find out if they are one-to-one. By using the resource, learners realize that not all one-to-one relations are functions....

Undo a function to create a new one. The inverse of a function does just that. An inquiry-based lesson examines the result of reversing the variables of a function, beginning with linear patterns and advancing to quadratic and...

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 activity of a 16-part series. They use inverse functional...

Perform a switch to find the inverse of a parametric equation. Pupils match four parametric functions with the graph of the their inverses. Using the graphs, learners determine whether particular points are on the original parametric...

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...

Revisit the relationship between logarithms and exponentials. Learners review the notion of logarithms as the way to solve exponential equations in the 21st segment in a Pre-calculus series of 23. Pupils use the knowledge to prove that...

Here is a resource that provides the structure of an assessment with the convenience of a full answer key. The focus is on rational, exponential, and logarithm functions with a few questions on solving polynomials. 

No laundry or cooking dinner here: these parent functions are all about math. Every graph you could think of from basic linear functions to the hyperbolic arccotangent function are included. With 40 parent functions, the worksheet...

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...

Scholars develop the conversion formulas between Fahrenheit and Celsius with a task that presents the class with two known temperature equivalents between the two scales. Pupils use those two points to develop the linear conversion...

Differentiating inverse trigonometric functions is quite different from applying the skill inverse functions. Scholars learn how to differentiate inverse trigonometric functions in the fourth of seven video installments in Unit 3 -...

Build a solid understanding of logarithmic functions and equations. Five lessons in the module begin by developing the concept of a logarithm. The next lessons address graphing logarithmic functions, logarithmic properties, and solving...

A piece of this and a piece of that, add domain restrictions and create a piecewise function. Young scholars explore piecewise functions with and without context. Functions include both linear and quadratic parts. The module is the...

Is there a relationship between powers and roots? Here is a lesson that asks individuals to examine the graphical relationship. Pupils create a table of values and then graph a square root and quadratic equation. They repeat the process...

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...

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...