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,...

Notation in mathematics can be intimidating. Use this lesson to expose pupils to the various ways of representing a function and the accompanying notation. The material also addresses the importance of including a domain if necessary....

Save the time creating an assessment because these function problems should do the trick. With 10 multi-part questions, they each focus on a different topic including radical, polynomial, linear and piecewise functions. The majority of...

How are functions related to chicken nuggets? A video teaches the concept of a function using the idea of a nugget-making machine as an analogy for a function machine. Learners determine if a relation is a function from an equation...

Combine functions for the first time. Pupils investigate composition of functions using a function table and then function machines in the 17th installment in a 23-part Precalculus series. Scholars learn the two notations for composition...

What kind of functions have holes in their graphs? Here, the teacher guides the class on how to use the simplified function of a rational function to aid in the graphing of the original rational function. T-tables are used in order...

Functions are special types of relations, but what makes them so special? Pupils use an interactive to slide a vertical line across six different graphs. Ten challenge questions then assess understanding of functions.

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...

The language and features of functions get careful treatment in a complex but doable lesson. Learners get a lot of practice really figuring out what a graph means in context, and also identifying key features of graphs. Key ideas...

Does the point continually move along the graph? Pupils drag a line across two functions to determine whether they are continuous or not. They answer questions about the properties of continuous and discontinuous functions. Using their...

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...

A simple question sometimes is the best for discussion. High schoolers compare a logarithmic and exponential function and composite them into one another. They graph and compare the difference between the domains. The solution contains...

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...

Shift the function and transform the key features of the graph. By translating the graph of the rational function, class members find out how the key features alter. Pupils determine the domain, range, asymptotes, and intervals of...

Can you solve an equation graphically? Absolutely! This Algebra II lesson makes the connection between solving an absolute value equation and graphing two functions. Graphing absolute value functions is presented through the process of...

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...

Domain to a math teacher makes perfect sense, but it can seem like gibberish to high schoolers. As it is laid out in clear terms, domain is introduced and explained among all types of functions throughout the handout. The first three...

The plot thickens to get a functional understanding. After a short review of plotting points on the coordinate plane, class members learn the difference between functions and relations in the second lesson plan in a series of nine....

Break it up into pieces to solve the problem. Individuals watch a video on how to graph and determine the equation and values of piecewise functions. Viewers then work several exercises to practice evaluating a piecewise function at...

Linear, exponential, now it's time for quadratic patterns! Learners build on their skills of modeling patterns by analyzing situations with quadratic functions. The sixth module in the Algebra I series has pupils analyze multiple...

Time for a shift in thinking! Learners examine translations of linear functions. They use function notation to describe the translation and make connections to the graph.

Write, graph, and model all things linear and exponential. Building on the previous module in a nine-part Algebra I series, learners compare linear exponential modeling. They write equations, graph functions, and analyze key features.

How do you combine linear and nonlinear functions? You piece them together! The lesson begins by analyzing given linear piecewise functions and then introduces nonlinear parts. Then the process is reversed to create graphs from given...

Make a connection between rational expressions and rational functions. Pupils review simplifying and performing operations on rational expressions and recall what it means for two rational expressions to be equivalent based on their...