Examine key features of various functions through exploration. A comprehensive lesson has learners describe the domain, range, end behavior and increasing/decreasing intervals of various functions. Function types include linear,...

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....

Begin the discussion of domain and range using something familiar. Before introducing numbers, the lesson uses words to explore the idea of input and outputs and addresses the concept of a function along with domain and range. 

Turn your class upside down as they explore the reciprocal functions. Scholars use the unit circle to develop the definition of the secant and cosecant functions. They analyze the domain, range, and end behavior of each function.

For this algebra worksheet, students state the domain and range of various functions and equations. There are five questions and some are multiple choice questions.

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...

How do you identify the domain and range of the function? As learners find out it's as easy as creating a graph. They'll identify the domain and range of a relation from its graph, write symbolic expressions describing the relationship...

Round and round we go! Pupils use reference angles to evaluate common sine and cosine values of angles greater than 360 degrees. Once they have mastered the reference angle, learners repeat the process with negative angles.

But what if the function cannot be inverted? Pupils continue to work with inverses of functions using tables, graphs, and algebraic equations. They restrict the domain of non-invertible functions to make them invertible. Using...

Seeing functions in nature is a beautiful part of mathematics by analyzing the motion of a dolphin over time. Then take a look at the value of a stock and maximize the profit of a new toy. Explore the application of quadratics by...

The documentary, The Legendary King of San Miguel Island, introduces the fascinating tale of Herb Lester, his family, and their life on San Miguel Island. Viewers have an opportunity to expand their study of the island and of...

Is there a relationship between powers and roots? Here is a lesson plan 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...

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.

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....

In this function worksheet, students determine the domain and range of given functions. They use trigonometric ratios to determine if a statement is true or false. Students differentiate equations. In this one-page worksheet, students...

Exploring families of functions allows high schoolers compare and contrast properties of functions.  Students discuss properties that include symmetry, max and min points, asymptotes, derivatives, etc.

After viewing the documentary The Last Roundup, a documentary about the transitioning of Santa Rosa from a privately own island to a National Park, class members debate the takings clause of the Fifth Amendment that permits the...

Get an interdisciplinary edge. Scholars study air contamination and slope. They record the time it takes for air fresheners to reach them at variable distances. They document their times, classify them by distance, and draw a scatter...

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.

Fourth graders find the range, mode, median, and mean for each of the data sets (height and shoe size). They discuss which measure of central tendency for each data set best represents the class and why. Students graph the shoe size and...

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 in a series of nine. They...

Discover the relationship between tangent lines and the tangent function. Class members develop the idea of the tangent function using the unit circle. They create tables of values and explore the domain, range, and end behavior of...

Have your class find the domain and range for each function. Students graph equations using the TI. They find all the x and y values as they relate to the domain and range.

Students relate what they know about boundaries on sports courts to explore range of space. In this domain and range lesson, students identify numbers needed to calculate ranges and use the problem solving strategy of making a table.