What locations on Earth get the longest number of hours of daylight in the summer? Hint: It's not the equator! Use real-world sunrise and sunset data to develop trigonometric models that can be used to estimate the number of hours of...

Middle schoolers discover the relationships of the lengths of the sides of right triangles and right triangles using a series of drawings on dot paper. They investigate and solve problems of standard (customary and metric units) and...

Students investigate the Math behind Musical instruments in this cross-curricular Math instructional activity on the Native American Flute and waveforms. The instructional activity can be accomplished in 6 days and includes an extensive...

Students solve right triangles using trigonometry. In this geometry lesson, students use the unit circle to identify different trig values. They identify the six trigonometric identities.

Students study the history of kites and their fundamental properties.  In this kites lesson students divide into teams and build and fly kites. 

Students collect data on the time of the ferry. In this algebra lesson, students use the data to predict a ferry schedule. They also compute the depth where oxygen would be needed when diving.

Young scholars collect real world data from the Web regarding high and low tides at various locations in the United States. They find a function which models this data and make predictions on tide levels based on the information found.

In this math worksheet, students write a problem having solution u(x, t) for each function u given. They include the lengths, physical constants, and initial conditions.

In this Pre-calculus/Trigonometry worksheet, students apply advanced triangle and circle trigonometry to solve application problems. The three page worksheet contains sixteen problems. Answers are not included.

Students explain why some colonists remained loyal to England during the American revolution. In this social studies lesson, students write a letter to an editor about their reasons for remaining loyal to England.

Students explore circular functions. They identify the amplitude, period, phase shift and vertical shift of circular functions. Students analyze phenomena described by sine waves and they find mathematical models for transforming images...

Students explore properties of triangles using angle bisectors, incenters, circles, midpoints, and altitudes. They use Geometer's Sketchpad in order to create triangles and their properties.

High schoolers study the nature of a satellite's orbit around the Earth.

This activity will help students identify the amplitude, period and shifts of graphs of sine and cosine using the TI-Navigator.

Graphs of the cosine function, both 2-dimensional and 3-dimensional. Higher level mathematics applications given, including defining the hyperbolic cosine function, the cosine function as an infinite sum and infinite product, and more.

An interactive graph provides a demonstration to show how the measure of an angle is related to the sine and cosine waves. Topics covered include amplitude and period. Examples allow students to practice the concepts.

This set of questions measures knowledge of amplitude, horizontal and vertical shift, and periods of sine and cosine graphs. Questions are multiple-choice and true/false; solutions are included.

This applet allows the user to create the graphs of sin, cos, and tan by moving a scroll bar. The user can watch the unit circle and the graph simultaneously to see how the two are related. The user may also choose to see the angle...

Students learn about the graphs of the sine, cosines, and tangent functions. The tutorial consists of notes and examples.

Students can use this site to practice questions dealing with trigonometric graphs. Students are challenged with multiple real-world problems and after solving those problems they can check their solution online.

Hotmath provides 20 practice problems on graphs of trigonometric functions. Each of the practice problems include a step-by-step guide for solving their graphs.

This personal site provides a great animation of how the sine and cosine waves are formed. It connects the unit circle with the sine and cosine graph.

[Free Registration/Login may be required to access all resource tools.] Combine calculations for amplitude and period on a sine or cosine graph.

The tutorial investigates period and frequency by examining the shapes of the sine and cosine functions. The resource consists of definitions, animations, interactive graphs, and examples. Practice problems with solutions are included.