Become better at the test concepts. An educational resource presents six free-response questions from the AP® Calculus AB exam. Pupils use the items to practice the content, which contains concepts ranging from particle motion to ships...

Get moving to a better understanding of graphs of derivatives. Using motion sensors, scholars vary their velocities to create graphs of the first derivative of a function. The activity challenges groups to first create a script of the...

Who says learning your multiplication facts can't be fun? This simple game of memory will have young mathematicians fluently multiplying one-digit numbers in no time.

In this calculus worksheet, students solve 10 different problems that include determining the first derivative in each. First, they apply properties of logarithmic functions to expand the right side of each equation. Then, students...

Describing a line using an algebraic equation is an essential skill in mathematics. The previous lesson in the series challenged learners to determine if segments are perpendicular with a formula. Now they use the formula to...

Take an abbreviated look at the exam. Class members review released items to prepare for the BC exam. The released questions are the six free-response questions from the 2001 exam. Three of the items have context, while the other three...

Expand the the comparative language of young mathematicians with a hand-on weight measurement activity. Working independently or in pairs, children compare the weight of large wooden blocks to various other classroom objects, recording...

It's Valentine's Day in geometry class! Celebrate the day of love with a heart-themed activity in which young mathematicians create a cardioid on polar graph paper.

Following an engaging video, mathematicians solve a word problem about baking cupcakes using fractions. Scholars practice different problem-solving strategies, then find different ingredient amounts for their recipes. Pupils solve a...

Bring the concept of conditional probability alive by allowing your classes to explore different probability scenarios. Many tasks have multiple solutions that encourage students to continue exploring their problems even after a solution...

Students examine the built environment and infrastructures of their community by constructing contour equipment, using the equipment, and comparing their results to current topographical maps of the same area

In this modeling a planetary nebula worksheet, students use a diagram to calculate the intensity at different radii from the center of the nebula. Students use the Pythagorean Theorem to determine the distance between two points on the...

In this calculus worksheet, students answer 14 short-answer questions regarding Euler's Method, rate equations, initial conditions, and slope functions.

Learners differentiate and calculate the length of an arc. They define an arc and relate it to the area of a circle and integrate the function to solve the equations. Students use their TI calculators to graph the equation.

In this mathematical modeling activity, students answer two essay questions. They describe Newton's Law of Cooling by describing and constructing a model and answering seven essay questions about the process.

Mathematicians investigate maximizing volume by learning to explore the problem in which they seek to maximize the volume of a cone.  Students solve the problem symbolically, graphically, and through the use of integration or...

Some differentiation rules are just better to memorize. The ninth lesson in a unit of 11 presents the quotient rule to pupils for them to memorize. Learners use the quotient rule to determine the derivative of two quotients after seeing...

Learners analyze the real number system. They discuss real numbers, rational and irrational numbers, integers, whole numbers, natural numbers and more of the real number in the system. They differentiate between all these numbers.

Fourth graders study a division algorithm. In this math instructional activity, 4th graders solve division problems using partial quotients. Students solve division problems and check their answers with the class.

For this differentiation worksheet, students apply the rules of differentiation to solve given problems. This two-page worksheet contains three problems.

In this implicit differentiation worksheet, students use the microscope approximation method and Euler's method to approximate values at a given point. This two-page worksheet contains five problems.

In this college level Calculus activity, students use implicit differentiation to find dx/dy or the rate of change.  The two page activity contains six problems.  Answers are not included. 

In this differentiation learning exercise, students find an equation of a line tangent to a curve. They use linear approximation to estimate answers. This two-page learning exercise contains approximately 12 multi-step problems.

In this implicit differentiation worksheet, students solve problems using the chain rule and implicit differentiation. They explain the differences between the chain rule and the implicit differentiation. This two-page worksheet...