Use the graphs of the trigonometric functions to set the stage to inverse functions. The lesson reviews the graphs of the basic trigonometric functions and their transformations. Pupils use their knowledge of graphing functions to model...

Have young mathematicians create new identities! They explore the even/odd, cofunction, and periodicity identities through an analysis of tables and graph. Next, learners discover the relationships while strengthening their...

Build a solid understanding of trigonometric transformations through exploration. Learners work in teams to analyze the effects of different algebraic components on the graph of a sine function. 

From a circle to a cycle! The final instructional activity of a five-part series challenges learners to use points from the unit circle to plot a repeating pattern. The repeating patterns become the graphs of the trigonometric...

Students explore the concept of trig identities. In this trig identity instructional activity, students use Mathematica to graph trig identities. Students see the trig identities graphically and enforce the notion that two trig functions...

In this math worksheet, they investigate the polar graph of: r = a + b sin (t), for various values of a and b. This is called a limacon and is applied to the definition of a transformation.

Don't give your classes the third degree. Use radians instead! While working with degrees, learners find that they are not efficient and explore radians as an alternative. They convert between the two measures and use radians with the...

The student should be able to transfer his knowledge of graphing functions to graphing trigonometric functions. Student should be able to graph trigonometric functions, find amplitude, period, and frequency.

Discover the relationship between tangent lines and the tangent function. Class members develop the idea of the tangent function using the unit circle. They create tables of values and explore the domain, range, and end behavior of...

Providing both review and practice problems, this worksheet prompts students to answer five questions having to do with slope, tangents lines, graphing, the Squeeze Theorem, differentiable functions and derivatives. This activity could...

Twelfth graders investigate the capabilities of the TI-89.  In this calculus lesson, 12th graders explore the parametric equation for a circle, for arc length of curves, and for trajectories.  Students investigate the symbolic...

For this math worksheet, students analyze a path around a circle. The interval is defined. Students sketch a graph of a given parametric curve. Five application problems give students practice using these concepts in real life situations.

In this Squeeze Theorem worksheet, students compute limits, identify a graph that represents the Squeeze Theorem, and graph given functions. This two-page worksheet contains seven multi-step problems.

For this math worksheet, students draw a graph of functions on a polar graphing system. They graph two functions by first plotting them on the vertical axis as a function of a given angle, then by plotting them at a radial distance from...

In this math worksheet students find the solution u(x,y) of Laplace's equation in a given rectangle with specified boundaries. Students use the chain rule to compute values for a function and relate this answer to Laplace's equation....

In this math worksheet, students determine if the definite integral of given functions exist. They use a Taylor polynomial to approximate given values. Students express the arc length of a graph on a polar coordinate system as an integral.

Have class members going in circles as they model the path of a Ferris Wheel using trigonometric functions. Building on the previous lesson in this series on transformations, learners use trigonometric functions to model wheels of...

Build on the understanding of finding angles using trigonometric ratios. Pupils develop the definitions of inverse trigonometric functions by restricting their domains in the 13th lesson of a 16-part series. They use inverse functional...

Twelfth graders discuss sine curves and enter equations into their graphing calculator then compare different graphs created on their calculators. They identify the period, amplitude and phase shift given the graph or the equation of a...

Pupils graph Taylor polynomials in this calculus lesson. They observe the graphs for the expansion of Taylor polynomial functions and use the Ti calculator to help create visuals of the graphs.

Students investigate angles converting them from radians to degrees. In this trigonometry lesson, students work with angles and the six different trig ratios. They graph the functions representing each trig functions and identify the...

In this trig worksheet, students draw graphs of trig functions and identify the cycle of the function. They discuss period and phase shift. There are 9 questions with an answer key.

Laws are meant to be broken, right? Learners derive the Law of Sines by dropping a perpendicular from one vertex to its opposite side. Using the Law of Sines, mathematicians solve for various parts of triangles.

Class members make a real connection to matrices in the 25th part of a series of 32 by looking at the identity matrix and making the connection to the multiplicative identity in the real numbers. Pupils explore different...