Doing is more effective than watching. Learners use spaghetti to discover the relationship between the unit circle and the graph of the sine and cosine functions. As they measure lengths on the unit circle and transfer them to a...

In this sine and cosine worksheet, students find derivatives and integrals of 6 functions.  Students find derivatives, indefinite integrals and the area between two curves.

Trigonometry, art, and Valentine's Day come together in a creative activity about parametric equations. Learners calculate several equations before graphing them either by hand, on a graphic calculator, or Excel spreadsheet to curve...

In this trigonometric worksheet, students sketch given curves and calculate the area of the curve. They find the volume of solids. There are 3 questions.

Students explore the concept of mathematical models. In this mathematical model lesson, students create a mathematical model from data from 4 cities over 15 months. Students are told they are working for a weather station. Students...

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...

In this algebra learning exercise, students solve and complete 12 problems involving sine, cosine, area and function.

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...

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

In this final examination worksheet, students find the tangent function and sine function.  They graph problems on a polar coordinate.  Students describe trigonometric properties.  This twelve-page worksheet contains 80...

In this Pre-calculus/Trigonometry worksheet, students determine the trigonometric function that best models the given data. The eight page worksheet contains explanation, examples, and twenty-one problems. Answers are not included.

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 PreCalculus worksheet, students explore inverse relations of sine, cosine, and tangent. They graph three functions and describe the inverse function.

In this rectangular form activity, students write numbers in rectangular form. They solve complex numbers, and find the value of a function. This two-page activity contains approximately 12 multi-step problems.

Young scholars identify positive and negative angles using the Unit Circle. In this pre-calculus instructional activity, students identify the different angles on a unit circle using the coordinate plane and the four different quadrants...

Students solve problems using the unit circle. In this precalculus lesson, students identify angles using the properties of the unit circle. They observe the trigonometric graphs and sine, cosine and tangent.

In this precalculus worksheet, students complete horizontal shift identifies. They graph functions, solve trigonometric equations using algebra, estimation and with the use of a graphing calculator. Students find the cosine of curves. ...

In this precalculus worksheet, learners use their graphing calculator to determine the coordinates for given functions. They determine the values for cosine, sign, tangent, and secant of given equations. Given an angle of elevation,...

In this precalc lesson, students write out definitions, identify functions, solve integrals and derivatives and graph trig functions as they relate to angles. This is a final exam for precalculus. There are 80 questions on this exam.

In this word learning exercise, 9th graders examine pictures and write a mathematical phrase to describe the picture.  This one-page learning exercise contains 25 problems.  Answers are provided.

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.

This study tutorial covers more advanced graphing of sine and cosine functions, including horizontal and vertical translations (phase shifts and vertical shifts). Includes several examples and graphs.

Watch the development of the sine curve and the cosine curve by tracing the unit circle in this fascinating applet.

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.