Inquiry-based learning and investigations form the basis of a deep understanding of quadratic functions in a very thorough unit plan.  Learners develop recursive and closed methods for representing real-life situations,...

In this bar graph worksheet, students read about making quality bar graphs and they make a bar graph using given data. They answer 5 questions about their graph.

Seventh graders identify the use of a function.They are asked to describe the input and output of a function. Students also identify different aspects of the coordinate system and represent functions in a visual graph.

In this function worksheet, students determine the limits of functions, sketch graphs, and use the Intermediate-Value Theorem for functions. This two-page worksheet contains twenty-two problems.

In this derivative of a power worksheet, students compare derivatives of functions, and graph functions. This one-page worksheet contains five multi-step problems.

Find out what causes a function to slide. Pupils move a function along the x-axis and see the resulting change in its equation. Scholars determine the effects that the translation has on the intercepts, domain, and range of the function.

It is all about the shift. Pupils translate the graph of a cubic function to different marked locations on the plane and determine the new equation that represents the shifts. The activity is designed to encourage individuals begin...

Change the y-intercept by adding a constant to the function. Individuals move three functions vertically along the y-axis. As they observe how the equation of the functions change with the vertical movement, learners determine how...

Continue the study of transformations with an examination of horizontal stretches, shrinks, and reflections. Individuals use the same process used in parts one and two of this series to examine horizontal changes. The resource also...

Take the road to a greater knowledge of functions. Young mathematicians graph an absolute value function representing a road connecting several towns. Given a description, they identify the locations of the towns on the graph.

Two for one—create an invertible and non-invertible function from the same data. The task presents a function table with missing outputs for the class to use to create two functions. One of the functions should have an inverse while the...

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 math instructional activity, students read the definition of continuity found in Calculus. Then they graph the functions while defining the points of continuity.

In this graphs and derivatives worksheet, students graph the derivative of a function. They find the intervals and identify the maximum and minimum. This one page worksheet contains three multi-step problems.

High schoolers practice using graphing calculators and spreadsheets as they explore numeric limits using sequences and functions. They complete a sequencing worksheet, and determine which sequence corresponds to story a story called...

What's the least number of colors needed to color a U.S. map? The lesson begins by having pupils view a video clip on continuous and discrete phenomenon, then launches into an activity reminiscent of Zeno's paradox. A separate video...

Math's gone viral—in the form of an exponential function! The activity uses an exponential function to model the growth of a marketing strategy. Learners create a table of values to observe the pattern in the numbers and then model the...

In this quadratic function worksheet, learners solve and graph quadratic functions. Functions contain both positive and negative integers, fractions, and perfect squares. Graph paper is located below each equation. There are 36...

In this college level Pre-Calculus worksheet, students determine if a given relation is a function, graph functions and observe their behavior, and determine if a function is even, odd, both, or neither.  The four page...

Log the values of the derivative of a logarithm. The interactive plots the derivative of the natural logarithm. Learners first determine the derivative of natural logarithm and the general logarithm. Using the formulas for the...

In this average value worksheet, students determine the average value of functions, sketch graphs of continuous intervals, evaluate integrals, find the average value of a function and convert limits to a definite integral. This one-page...

In this function worksheet, students determine the limits and draw graphs of given functions. They identify continuous and noncontinuous functions. Students solve mixture problems and prove or disprove given limits. This three-page...

Give classes a sneak peek at an upcoming test. Scholars work released items from the AP Calculus AB test to prepare for their own exams. The resource consists of six items, two graphing calculator items, and four non-calculator items....

Middle and high schoolers collect and analyze data from four different activities. The activities include information about classmates, tallying colors of cars in a parking lot, stem and leaf plots, and making a histogram from...