Communication is the key. A presentation provides 25 sample items for Claim 3, Communicating Reasoning, for the Smarter Balanced High School Math assessment. Items require pupils to answer the question and provide logical reasoning to...

Don't get lost trying to memorize all those derivative rules. Scholars review the different methods at their disposal to determine derivatives from Units 2 and 3. They fill out a graphic organizer and then complete a set of practice...

Keep moving along a curve. Two items in the set of released free-response questions from the 2010 AP® Calculus BC exam involve movement along a graph. One involves particle motion along a polar curve while the other uses a squirrel...

Though the items may be older, they still provide information. Released free-response items from the 2002 AP® Calculus BC exam provide teachers and pupils with information about how topics appear on the exam. Questions come from the AB...

In this calculus worksheet, students solve problems with trigonometric functions. They take the derivative and find the average rate of change.

In this music activity, 11th graders incorporate fractions into their music scales and counting scales. They listen to the music being played and relate it to sine waves reviewing the trig function. There are 11 questions involving sine...

In this special right triangles worksheet, students solve 15 short answer problems. Students use trigonometric functions to find missing side lengths of various right triangles.

In this limit learning exercise, students evaluate the limit of four functions including trigonometric, arc trig., and exponential functions. 

In this double integrals worksheet, the students compute antiderivatives and evaluate double integrals. They compute the volume of a solid bounded by planes. This one-page worksheet contains three multi-step problems.

In this calculus learning exercise, student evaluate twenty-one integrals.  This learning exercise is designed as a test with multiple-choice as well as free response problems. 

If you have ever injured your shoulder, you know it takes a while to improve your arm's range of motion. For this real-world example, young mathematicians gain insight into the world of physical therapy while they analyze a case study...

Students explore the concept of sine. In this sine lesson, students create a sine graph from tooth picks. Students create a unit circle with tooth pick length radius. Students then take the tooth picks from the unit circle and put them...

In this trigonometry learning exercise, learners solve right triangle problems.  They find the sine, cosine and tangent of given triangles.  This on-line, interactive learning exercise contains 6 problems.  Answers are...

Students relate the trigonometric functions to the coordinates of the unit circle. They classify trigonometric functions as odd or even. Students determine the signs of trigonometric functions in each quadrant. They are explained that...

In this sketching polar equations worksheet, students solve 5 short answer and graphing problems. Students describe a curve given the equation of the curve in polar form. Students sketch a graph of the equation.

Learners investigate properties of the unit circle using sine, cosine and tangent. They analyze the answers to questions about the unit circle based on a right triangle.

In this algebra activity, students prove whether or not the left side of an equation equals the right side.  If it is false, students correct the equation. Equations include fractions, trigonometric identities, logarithms, square...

Students use online resources, including animations,to define the slope of a curve and how to calculate the slope. They solve 8 problems online, using the definition of the derivative of a function at a point to calculate slope of the...

In this system of equations worksheet, students solve systems of equations. They plot functions and evaluate solutions as floating point numbers. This two-page worksheet contains 8 multi-step problems.

In this derivatives worksheet, students identify intervals. They differentiate given functions. This one page worksheet contains seven multi-step problems.

Use realistic data to find trigonometric models that best fit the populations of foxes and rabbits in a national park. Included are detailed explanations of the answers and process. This is a follow-up exercise to the lesson listed in...

This is not your typical Ferris wheel problem. In this exercise, your class will combine their knowledge of sinusoidal functions as well as linear motion to come up with parametric equations that model the position of a point on the edge...

In this angle measurement worksheet, students identify the domain and range of given problems.  They determine the amplitude, period and horizontal translation of given functions.  This two-page worksheet contains 16 problems.

Students evaluate the six trigonometric values of a trig function. In this trigonometry lesson, students use the Unit Circle to find the values of right triangles and their angles. They identify an angle of elevation and...