Critically apply intervals of increasing and decreasing. Pupils watch a video to see how finding a critical point and finding intervals of increasing and decreasing work together to identify local extrema. Scholars use the first...

What information can be gleaned from a box and whiskers plot? Discuss the five summary values - minimum, maximum, upper and lower quartiles, and median - and what conclusions can be made from these values? Included here is a matching...

A real-world approach to common multiples asks learners to find different groups of flowers based on their multiples. Useable as a class activity or independent exercise, they will have to organize their thoughts to explain the totals of...

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...

Explore the nuts and bolts of absolute value inequalities using nuts and bolts. Pupils use an interactive to see how the minimum and maximum radii of a nut-and-bolt combination change based on the target radius and the allowable error....

Explore line graphs and their characteristics through an interactive lesson. Scholars follow a set of directions to plot data on a line graph. They then answer questions about the type of variables, minimum and maximum values, and...

In this modeling data worksheet, students use quadratic functions to model data using three different methods.  This worksheet provides explanations and an example.  Additionally, students are given the steps to find the...

In this maximum and minimum of values activity, learners solve 4 problems, two of which are word problems, related to determining values of a given variable. First, they find the maximum value of P subject to its constraints. Then,...

In this quadratic equation worksheet, students solve quadratic equations by graphing on a coordinate plane. Given the roots and maximum or minimum points, students graph a quadratic equation. This one-page worksheet contains five problems.

Learners are given a graph of a parabola on a coordinate system, but intercepts and vertex are not labeled. The task is to analyze eight given quadratic functions and determine which ones might possibly be represented by the graph. The...

In this graph of a function worksheet, students graph a function and find the value at a given point. They determine the absolute minimum and maximum of an interval. This two-page worksheet contains three problems.

For this function worksheet, students identify the local maximum and minimum values and angle dimensions. This one-page worksheet contains six multi-step problems.

In this minima/maxima instructional activity, students solve systems of equations, identify the first derivative of a quadratic equation, and find the critical point in an equation. Using Excel worksheets, students graph four equations....

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!).

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.  For this transforming parabolas to fit a particular quadratic equation lesson, students describe the transformations of the parabola...

In this story problem worksheet, students determine necessary information, write equations and solve the problem. This one-page worksheet contains eight problems dealing with cost, minimum and maximum values.

This comprehensive lesson plan reviews solving and graphing quadratic functions and functions of higher degree.  Using the vertex form of a quadratic functions, one finds the vertex, minimum or maximum, and axis of symmetry. A few...

Grow your knowledge of Calculus AB. Items released from the 2007 AP® Calculus AB exam provide information to teachers about the importance of particular topics. Pupils use the questions to gain an understanding of ways the exam assesses...

Students are given a trigonometric function. They find the period of f, the maximum and ninimum values of f(x). Students compute the smallest positive value of x and the smallest positive value of x. They sketch the graph of the function.

Students explore maximum and minimum points, slopes and tangents. In this Pre-Calculus lesson, students solve optimization problems and find rates of change.

In this graphing worksheet, students read the average monthly maximum and minimum temperatures in Paris and use them to complete a color coded line graph. Students graph 24 figures.