In this Algebra II/Pre-Calculus worksheet, 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 calculus worksheet, 11th graders calculate the average value of a function. They find the line tangent to a curve and graph the equation. There are 15 questions.

In this calculus activity, 12th graders calculate the line tangent to a curve and find the average value of a function. There are 12 questions.

In this practice exam worksheet, students solve 17 multiple choice problems. Students find derivatives, points of continuity, maximums, minimums, integrals, and area of enclosed regions.

Tenth graders study graphing exponential functions. For this transformations lesson, 10th graders apply inquiry to determine how changes to a parent function affect its graph. Students analyze transformed graphs and generate the function...

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.

Young mathematicians graph polynomials using the factored form. As they apply all positive leading coefficients, pupils demonstrate the relationship between the factors and the zeros of the graph.

Collaborative groups utilize their knowledge of parent functions and transformations to determine the equations associated with graphs. The graph is then related to the scenario it represents. 

In this calculus worksheet, learners are given 10 short-answer problems regarding functions, derivatives, minima, maxima and extremes.

In this perimeter and area activity, students examine given perimeters and determine the dimensions that will give the maximum area.  This one-page activity contains four multi-step problems.

Learners calculate the maxima and minima of quadratic equations. In this calculus lesson, students apply the derivatives by finding the maxima and minima using real life application. They solve optimization using the derivative. 

In this kinetic energy and mass worksheet, students read about coronal mass ejections detected by the SOHO satellite. Students complete a data table that shows the relationship between kinetic energy, speed and mass. They convert the...

Students investigate maxima and minima by finding the shortest distance. In this calculus lesson, students calculate the shortest distance a bug travels to get to the other side of the tv. They analyze their findings discussing...

Students work collaboratively to create artistic renderings of digital photographs using a color value scale and grid techniques in this late-elementary school lesson based upon Ted Rose's book Discovering Drawing. The lesson includes a...

For this Calculus worksheet, learners are provided with questions that are reflective of the content of their exam.  Topics covered include derivatives, volume of a solid of rotation, local maximum and minimum, and...

Even kindergartners can draw triangles in circles, but the assessment task requires a bit more geometric knowledge. Scholars investigate triangles that have a diameter of a circle as one of its sides. They must consider triangles that...

It's time to redesign the healthcare system. The seventh installment of a 9-part technology/engineering series teaches future engineers about patient flow and how to design healthcare centers to improve flow. Classroom simulations allow...

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...

Be integral to the learners in the classroom. Pupils use integrals, differentiation, and limits to solve the free-response questions from an AP® Calculus BC exam. Items cover topics such as area under a curve, particle motion, average...

In this qualitative analysis worksheet, students explore the S-I-R model of determining given values of a function. They determine the maximum, minimum values and the slope. students write a rate equation for given information. This...

In this derivatives worksheet, students sketch the graph of a function by determining the local maxima, minima and inflection points. They graph a second function when given the interval. Students solve two word problems involving...

Third graders discover elements in visual art. In this visual art lesson, 3rd graders explore the use of line, shape, and color in visual art. After reviewing works of art, students create unique art pieces. Technology resources provided.

Analyze trends in the stock market using histograms. Future economists use data presented in a histogram to find periods of greatest increase and decrease. They also draw conclusions about days that would be best to invest.

Young scholars investigate how to estimate the age and size of turtles, and examine variability in scientific data. They read an informational handout, identify the parts of the shell, measure the shell and estimate the age, and record...