In this related rates problem activity, students use the chain rule and implicit differentiation to solve related rate problems, such an writing an expression relating to the ripple of a circle. This three-page activity contains eleven...

Learn how to solve problems by taking the derivative. Then, through examination of higher order derivatives using the CAS computer program, students create a visual of what is happening with the equation.

Students analyze the derivative of a graph. In this calculus lesson, students identify the different behavior of a graph. They label concavity of the graphs as increasing or decreasing.

If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...

Relevance is key! The resource applies quadratic modeling by incorporating application of physics and business. Pupils work through scenarios of projectile motion and revenue/profit relationships. By using the key features of the graph,...

Seeing functions in nature is a beautiful part of mathematics by analyzing the motion of a dolphin over time. Then take a look at the value of a stock and maximize the profit of a new toy. Explore the application of quadratics by...

In this differentiation worksheet, students solve 25 short answer word problems. Students solve application word problems by finding the derivatives of functions.

Learners use their TI-89 calculator to find properties of the quartic polynomials. The lesson includes detailed instructions along with screen shots of the graphing calculator display.

Learners explore area of polygons and regular polygons in this math lesson. They calculate the area of several polygons using Cabri Jr. and analyze shapes and write formulas to solve for the area.

Apply the skills to problems to ace the AP test. Free-response questions require scholars to take calculus skills and apply them to situations. Pupils use the questions to see how those situations appear on an upcoming exam. Teacher use...

Local linearity isn't the first thing that comes to mind to start off an AP® Calculus course. A scholarly article discusses one possible beginning to the AP® Calculus course: investigating and introducing derivatives through activities...

Understanding how calculus formulas were derived connects learners to the idea that the study of mathematics is continuous and cumulative. Learners will also develop a deeper appreciation for the derivative's application in...

Develop a formula based upon numerical computations. The 31st part of a 33-part unit has the class determine the formula to convert a temperature in Celsius to a temperature in Fahrenheit. They do this by making comparisons between the...

Round and round we go! Pupils use reference angles to evaluate common sine and cosine values of angles greater than 360 degrees. Once they have mastered the reference angle, learners repeat the process with negative angles.

Build confidence in proofs by proving a known property. Pupils explore two approaches to proving base angles of isosceles triangles are congruent: transformations and SAS. They then apply their understanding of the proof to more complex...

Learners examine objects and find their volumes using geometric formulas in the 21st installment of this 25-part module. Objects take the shape of truncated cones and pyramids, and individuals apply concepts of similar triangles to find...

Supplementing the review of mitosis and meiosis, the detailed slides give information about growth factors, cell communication, and regulator genes. A fascinating topic, your class will be inspired by the applications and developments of...

Learners match a given velocity graph and sketch the corresponding position graph using a graphing calculator. After collecting data from their everyday life, students use specific functions on their calculators to create graphs and...

Students investigate the concepts relating to the solving of parametric equations. They take the derivatives of parametric equations during guided and independent practice using the problems provided in the lesson plan. Students also...

Scholars demonstrate their knowledge of root words aqua and aud, and develop vocabulary skills by completing of a chart, handout, and worksheet using creative thinking skills, a dictionary, and a thesaurus.   

Challenge scholars to show what they know about properties and addition and subtraction formulas for trigonometric functions. The resource provides a mid-unit check on the progress toward mastery of trigonometric concepts. The areas...

Ancient Egyptians sure knew their trigonometry! Pupils learn how the pyramid architects applied right triangle trigonometry. When comparing the Pythagorean theorem to the trigonometric ratios, they learn an important connection that...

Knowing the addition formulas allows for the calculations of double and half formulas. The fourth installment of 16 has the class use the addition formula to develop the double angle trigonometric formulas. Using the double formula,...

Show budding mathematicans how to find the sine of pi over 12. The third lesson in a series of 16 introduces the addition and subtraction formulas for trigonometric functions. Class members derive the formulas using the distance...