Model periodic populations. Here, in the context of foxes and rabbits, pupils look at graphs of the populations of these animals in a national park over a span of 24 months. Groups analyze the graphs and determine trigonometric...

Why do planets orbit the sun in ellipses when moons orbit their planet in circles? Pupils control the semi-major axis, eccentricity of the orbit, and position angle. The resulting orbital appears with the related force vectors as...

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...

In the United States, most trains operate at a top speed of 100 miles per hour. Scholars use information on the distance and time of a train trip to determine if the train ever reaches a specific speed. They connect pieces of information...

For this A.P. Calculus exam practice test, students answer 28 multiple choice questions. Questions cover a wide variety of topics. Students tell the position of a particle moving along a horizontal line. They identify the solution to a...

Test your students' calculus skills with this quiz, the first page of which includes instructions and an honor pledge. On the second page, students find the maximum and minimum values of the of an identified figure with given...

Pupils read real world problems, determine the variables, and set up the function using algebraic statements. After entering data into the graphing calculator, they display information in the form of graphs and scatter plots. Students...

In this graphing worksheet, learners graph quadratic functions. They identify the maximum and minimum value of the function, determine the line of symmetry, and locate the vertex. Coordinate planes are provided for each function. There...

In this math activity, students work math problems to unlock the key to the message. Each problem is a single digit plus a single digit. A code is included at the bottom of the page. This site is a activity generator. Teachers may set...

For this integral worksheet, students evaluate integrals, integrate functions, find directional derivative of a function, identify the maximum and minimum values of a function, and compute Cartesian coordinates. This two-page worksheet...

For this math worksheet, students seek to find the relative maximum and minimum values of surfaces in three dimensional space for the function.

In this math worksheet, students determine the maximum and minimum values for the functions. Then they evaluate the double integrals.

In this rate equation, students are given 7 short-answer problems regarding functions, maximum and minimum values, equilibrium values, and inflection values.

In this extrema learning exercise, students use graphing calculators and the optimization method to identify the maximum and minimums of a given function. They compute the first and second derivative, and graph the functions. This...

For this integral worksheet, students are given 20 short-answer problems regarding integrals, temperature, time, limits, maximum & minimum values.

In this Mean Value Theorem, students determine values of a function. They identify the domain, main, maximum and minimum values of a function. This two-page worksheet contains three problems.

For this intervals worksheet, students solve and complete 8 various types of problems. First, they find the intervals of x for each curve. Then, students sketch a graph of each showing all maximum and minimum points and all inflection...

In this calculus worksheet, students simplify integrals and solve problems that involve related rates and maximum and minimums.  The one page worksheet contains twenty-three problems.  Solutions are not provided. 

In this Algebra II worksheet, 11th graders graph root functions and analyze the domain, range, intercepts, maximum and minimum values, and end behavior.  students use that information to transform the graphs of root...

Young scholars analyze graphs for specific properties. In this algebra lesson, students solve equations and graph using the TI calculator. They find the different changes that occur in each graph,including maximum and minimum.

Students use the Nspire software to graph. In this algebra lesson, students graph quadratic equations using technology and graphs. They identify the maximum and minimum of each graph.

In this graphing polar equations learning exercise, students solve and complete 10 various types of problems. First, they construct a table of values using the special angles and their multiples. Then, students plot the points in the...

In this algebra worksheet students graph a given function by completing the square. They analyze a function and tell the axis of symmetry, the intercepts, and vertex. Students identify the maximum or minimum of a graph. Students identify...

Students investigate data of minimum and maximum weather temperatures over the period of one week. They answer guided questions in order to establish comprehension of interpreting the data.