How do letters and numbers create a picture? Scholars learn to create input/output tables to graph functions. They graph both linear and nonlinear functions by creating tables and plotting points. 

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...

Learners practice using their knowledge of how to interpret a function and use function notation. The activity includes two questions. Given an input of a function and its output, the first question asks learners to write the ordered...

Cells of different organs have unique cell functions. Learn how cell functions vary depending on their roles in the body using an inquiry-based activity. Scholars analyze the cell structure to make comparisons to its functions, allowing...

How do interest groups try to influence elections? As part of their study of the election process, groups view 30-second advertisements produced by advocacy groups and use the provided worksheet to evaluate these ads. They then craft...

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 -...

Rational functions become less mysterious when you know about limits. Individuals use an interactive to move a rational function on a coordinate plane and to investigate function values for certain x-values. They see how the limit...

Test the limits of one's knowledge on continuity. The last of 18 installments in Unit 1 - Limits and Continuity is an end-of-unit review learning exercise. Individuals identify and classify discontinuities, investigate continuity at a...

Chase a periodic moving limit. Learners graphically determine the limit of the tangent function at different input values. Using sliders, pupils find out whether the tangent function approaches the same value from the left and the right....

Greg Kelly puts together another great slide presentation to demonstrate ways to combine derivative rules to evaluate more complicated functions. This pattern is called the chain rule.  He shows step by step ways to solve these...

Paper folding, flu spreading in a school, bacteria growth, and continuously compounded interest all provide excellent models to study exponential functions. This is a comprehensive resource that looks at many different aspects of...

In this function worksheet, students evaluate integrals using the fundamental theorem of calculus. They identify the maxima and minima on intervals. This one-page worksheet contains seven problems.

In this Algebra I/Algebra II instructional activity, students determine if a relation is a function or not and find the functional value of a domain element.  The two page instructional activity contains a combination of nine...

In this function instructional activity, students map equations and identify three dominant characteristics. They evaluate functions of complex variables. This three-page instructional activity contains approximately ten problems.

In this exponential functions worksheet, 9th graders solve and complete 23 various types of problems. First, they simplify each expression. Then, students evaluate the function at different values of x and plot the ordered pairs. in...

In this graphing functions worksheet, students write functions in logarithmic and exponential forms.  They evaluate logarithms and determine the inverse of a function.  Students graph functions.  This six-page worksheet...

In this algebra worksheet, students evaluate exponential functions using tables and graphs. There are 6 questions with an answer key.

In this graphing functions worksheet, students solve and complete 25 various types of problems. First, they evaluate each of the limits presented. Then, students graph each given function, graphing both the equation and then the...

In this graphing functions worksheet, students solve four problems where they graph given functions, find the sum related to the area under the curve and determine an integral.

Students explain functions.  In this function lesson, students solve functions.  Groups of students develop strategies to perform operations with functions.  They write test questions using functions which include all...

In this operations and functions learning exercise, students add, subtract, multiply, and divide functions.  This one-page learning exercise contains 18 multi-step problems. 

Students solve quadratic functions. In this solving quadratic functions instructional activity, students determine the height of an object at a given time. Students determine the time at which an object hits the ground. Students answer...

In this limit learning exercise, student evaluate functions and determine the continuous limits. This one-page learning exercise contains three multi-step problems.

To be used in connection with a group project or at the end of a unit, this handout contains two essay writing prompts. The first prompt asks a group of learners to work together to evaluate their groups' performance as well as each...