High schoolers generate the equation of a polynomial given its roots and the end behavior of the function. They need to apply theorems concerning the multiplicity of roots, conjugates of irrational or imaginary roots to find a...

Transformations of parabolas to fit a particular quadratic equation is taught through this lesson.  In this transforming parabolas to fit a particular quadratic equation lesson, young scholars describe the transformations of the...

Time to put it all together in one sheet—well five. Pupils review all the topics presented in the resources for Analytical Applications of Differentiation. The five pages summarize the concepts with explanations and examples.

Students explore measurement by measuring classmates' heads. They record their measurements and they put the measurements in order from smallest to largest. Students figure the mean, median, mode, maximum, minimum, and range of their...

Students calculate the maximum and minimum of each function. In this algebra lesson, students collect and graph data to analyze it. They differentiate between the absolute max and min and the maxima and minima of each function.

In this interpreting graphs worksheet, students read a graph containing data of rainfall and temperature, then complete 18 questions, interpreting the data.

In this Algebra II/Pre-Calculus activity, students investigate the maximum volume of a cuboid and the maximum volume of an open-topped box.  Additionally, students determine the acceptable size for boxes to meet parcel service...

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...

For this college level Pre-Calculus worksheet, students investigate the graphs of the sine and cosine functions. The six page worksheet contains seventy-eight problems. Solutions are not provided. 

In this graphing polar equations activity, 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 table on a...

Eighth and ninth graders graph a given function and identify the domain, range and intercepts. Theytell the intervals that the function is increasing, decreasing, or constant. Pupils identify the minimum and maximum of the graph, and...

Students explore the maximum and minimum values of parabola. In this exponential equations lesson, students use graphing calculators or TI Interactive Software to calculate values of parabola and graph x-intercepts of parabola.

Learners engage in a lesson about finding the values of different graphs written in the vertex form. They rewrite each quadratic equation in vertex form while graphing the equation with the visual display of a parabola that matches the...

Buying a new sofa? Learn how to use the Pythagorean Theorem, as well as algebra and graphing techniques, to determine whether the sofa will fit around a corner (which I'm sure you'll agree is a very important consideration!).

In this graphing worksheet, students 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...

Take the work out of worksheets and use these problems and worked-out answer key as a resource. The problems reinforce skills in domain and range, identifying graphs, and even and odd functions.

Whiskers are not just for cats! Pupils create box-and-whisker plots from given data sets. They analyze the data using the graphs as their guide.

In this math worksheet, students write 8 equations of the axis of symmetry and find the coordinates of each quadratic function. Students graph 4 of the equations and state if the vertex is maximum or minimum.

Fifth graders design and label a bar graph using data taken from a class survey. They observe a teacher-led lecture, write and conduct their survey, and create a bar graph that includes identification of the minimum, maximum, mode,...

Students in a teacher education class address consumer related issues involving packaging. Using volume, surface area and graphs, they create a package for a given volume of a product. They design modifications for this lesson and to...

You can't see patterns in a jumble of numbers ... so organize them! Learners take a set of data and use a line plot to organize the numbers. From the line plot, they find minimum, maximum, mean, and make other conclusions about the...

The midline of the mathematical model of the number of hours of sunlight is not 12 hours. Pupils use the modeling cycle to determine a function that will model the number of hours of sunlight at a location of their choosing. Using...

It's time to put analytical applications to work. Learners use the eight questions of the mid-Unit 5 review to refresh their memories of the key points. Pupils apply what they have learned to use the Mean Value Theorem, find extrema...

If a linear function and a quadratic function enter a boxing match, which one would win? Learners first review how to find key features of linear and quadratic functions. Next, they compare key features of pairs of functions.