Learners use the relationship between volume and surface area to construct a box out of a piece of paper that maximizes volume using a table and by using graphing and calculus techniques.

In this local linearity instructional activity, students identify the slope of a line tangent to the graph at a given point. They use linear approximation to estimate values. Students determine the slope of a secant line at a given...

In this math instructional activity, students find the area bounded by the tangent line, the x-axis, and the line x =2. They also describe the graph of the function.

students emulate a real world problem and model it with mathematics working in a small group. Observe and facilitate discussion as the groups use various strategies, such as (graphs, brainstorming, tables, and dialogue.

Students explore principles governing diffusion and osmosis. Students perform a dialysis tubing experiment. They obtain core samples of potato in varying concentrations of sugar-water to measure water potential of the potato cells....

Learners complete three parts of an "Organizning and Reading Data" worksheet. First, they go over the rubric to determine the work will be scored. They organize data by taking tallies, make a pictograph and a bar graph using the data....

Students compare budgets of various federal agencies and graph the monetary relations between these top-funded agencies. They propose alternate budgets and justify their own monetary priorities.

Young scholars reflect functions about the X-axis, Y-axis, and origin. They derive equations for reflected functions using the website www.explorelearning.com.

In this minima/maxima worksheet, 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. There are...

Students explore the concept of the corner problem. In this corner problem lesson, students use the TI-NSpire to determine the maximum length a rod can be and still pass horizontally around a corner. Students use similar triangles to...

Students compare and evaluate the world's different seaweeds.  In this investigative lesson students study seaweed and the harvesting of it.  They then interpret the data collected and graph the seaweed production. 

Students calculate the slope of a line. In this algebra lesson, students graph a line using the slope and y-intercepts. They define the steepness of the line using the slope.

Learners identify Euler's method of graphing in this calculus lesson. They approximate values of a function and check their work using EM. They also differentiate equations at an exact point.

Sixth graders explore process of drying food using solar energy. They cook and/or dry food such as pumpkins, watermelon, corn, and deer meat, explain how solar energy changes foods, and compare and contrast solar energy with other forms...

In this math worksheet, students sketch the graphs labeling the point of intersection in the first quadrant. Then they find the area of Ω.

In this dimensional vector worksheet, students prove dimensional vectors. They write systems of equations, verify solutions, and sketch graphs of the functions. This two-page worksheet contains approximately ten problems.

In this calculus worksheet, students review important rules of derivatives and integrations. They graph their functions using symmetry and coordinate pairs. There are 20 questions.

In this AP Calculus Practice Exam activity, students solve seventeen multiple-choice questions using a graphing calculator.  This BC practice test is designed to be finished in fifty minutes.

In this A.P. Calculus BC worksheet. students solve six practice problems.  A graphing calculator is required on the first three questions and not allowed on the next three.  Directions are provided.

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.

Students solve quadratic function by completing the square. In this algebra activity, students use the quadratic formula to factor quadratics and find the roots. They graph the parabola and identify its properties.

Students solve equations by taking the derivative. In this calculus instructional activity, students solve parametric equations implicitly. They use the TI-calculator to graph their equations.

Students produce the greatest mass of plant material possible for 100 seeds of barley, and detect amino acids in barley plant material. They develop rules for the investigation, conduct the experiment, and prepare a computer spreadsheet...

students examine the potential of creating the involute for a circle. They use the concept to create new parametric equations. They graph the picture for each.