EngageNY
Graphing the Sine and Cosine Functions
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...
Curated OER
Right Triangles and The Unit Circle
Young scholars 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.
Curated OER
Angles in Standard Positions
Students identify positive and negative angles using the Unit Circle. In this pre-calculus activity, students identify the different angles on a unit circle using the coordinate plane and the four different quadrants as a guide. They...
Curated OER
Quadrantal Angles
In this quadrantal angle worksheet, students determine the six trigonometric for each quadrant angle. This one-page worksheet contains 36 problems, with answers printed at the bottom of the page.
Curated OER
Trigonometric Ratios
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.
Curated OER
Trigonometric Functions of Special Angles
Students explore the concept of the six trigonometric functions, places where the functions can be utilized, and apply these functions to several electrical application problems.
Curated OER
The Unit Circle
High schoolers 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...
Curated OER
Woody Sine
Young scholars explore the concept of sine. In this sine lesson, students create a sine graph from tooth picks. Young scholars create a unit circle with tooth pick length radius. Students then take the tooth picks from the unit circle...
EngageNY
Tangent Lines and the Tangent Function
Construct tangent lines and make the connection to tangent functions. An informative instructional activity reviews the geometry origins of the tangent function. Pupils use that information to determine how to construct a tangent to a...
EngageNY
Addition and Subtraction Formulas 2
Knowing the addition formulas allows for the calculations of double and half formulas. The fourth installment of 16 has the class use the addition formula to develop the double angle trigonometric formulas. Using the double formula,...
EngageNY
Addition and Subtraction Formulas 1
Show budding mathematicans how to find the sine of pi over 12. The third lesson in a series of 16 introduces the addition and subtraction formulas for trigonometric functions. Class members derive the formulas using the distance formula...
Illustrative Mathematics
Eratosthenes and the Circumference of the Earth
The class gets to practice being a mathematician in ancient Greece, performing geometric application problems in the way of Eratosthenes. After following the steps of the great mathematicians, they then compare the (surprisingly...
Alabama Learning Exchange
Technology for Displaying Trigonometric Graph Behavior: Sine and Cosine
Students explore the concept of sine and cosine. In this sine and cosine instructional activity, students work in groups to graph sine and cosine functions. Students examine how coefficients in various parts of each parent function...
Curated OER
Worksheet 14
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.
Curated OER
Exploring Trigonometric Functions
High schoolers are introduced to the characteristics of trigonometric functions. In groups, they analyze graphs of sine and cosine to determine the lengths of a triangle. They compare and contrast the graphical and numerical...
Curated OER
Measuring the Earth
Young scholars identify types of arcs and angles in a circle, find the measure of arcs and angles, and solve real world problems involving lengths of segments in circles, lengths, and areas.
Curated OER
Arc Length Lesson
Learners find the length of the arc of a circle. For this geometry lesson, students calculate the length of an arc and find the measure of the central angle given the length of the arc. They convert between linear and angular speed. They...
EngageNY
Extending the Domain of Sine and Cosine to All Real Numbers
Round and round we go! Pupils use reference angles to evaluate common sine and cosine values of angles greater than 360 degrees. Once they have mastered the reference angle, learners repeat the process with negative angles.
Curated OER
Segments Formed by Intersectiong Chords, Secants, and Tangents
Learners investigate the properties of segments formed which chords, secants, and tangents, intersect. The dynamic nature of Cabri Jr. allows students to form and verify conjectures regarding segment relationships.
Curated OER
Exploring Trigonometric Ratios
Students calculate the different ratios using a right triangle. In this trigonometry instructional activity, students identify the sine, cosine and tangent of each side. They find the missing angles using the different ratios.
Curated OER
Trigonometry
Young scholars 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...
Curated OER
Worksheet 8 - Limit of Slopes
In this limit of slopes worksheet, students compute the limit of slopes, find the slope of the secant line, and determine the slope of the tangent line. This one-page worksheet contains five multi-step problems.
Curated OER
Worksheet Five - Limits
For this limit worksheet, students use algebra to compute limits. They find the slope of the secant line and find a formula giving the slope of the secant line. This one-page worksheet contains six multi-step problems, with answers.
Curated OER
High and Low Tides
Students 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.