EngageNY
Basic Trigonometric Identities from Graphs
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 understanding...
EngageNY
Proving Trigonometric Identities
Young mathematicians first learn the basics of proving trigonometric identities. They then practice this skill on several examples.
Curated OER
Geometry Exploration Basic Trig Functions
Tenth graders solve for missing sides on a triangle using the Pythagorean Theorem. In this geometry lesson, 10th graders are introduced to basic trigonometry functions as they solve problems of right triangles. They discuss the formulas...
Curated OER
Trigonometric Identities
Students calculate the six trigonometric identities. In this algebra lesson plan, students verify other identities using the basic trigonometric identities of sine, cosine and tangent. They complete a worksheet with hints and then are...
Curated OER
Trig is SOH Easy!
Learners derive the six trigonometric identities. In this trigonometry lesson, students review the parts of a right triangle and use the Pythagorean theorem as a guide to find the trig identities. They find sine, cosine and tangent ratios.
Curated OER
Exploring Trigonometric Ratios
Students identify the ratios of trig functions. In this trigonometry lesson, students construct triangles and use it to derive the values of sine, cosine and tangent. They use Cabri software to create the visual of the identities.
Project Maths
The Unit Circle
It's not just any circle—it's the unit circle. The fourth lesson in the series is an introduction to the famous unit circle. While working through a series of activities, young scholars learn the components of the unit circle and how to...
Curated OER
Trig Review
Twelfth graders review the 6 identities of trigonometry. In this trig lesson, 12th graders review the importance of the right triangle as it relates to sine, cosine and tangent. They review the basic trig identities and how it relates to...
Curated OER
Solving Right Triangles
Students investigate the basic trigonometric functions. In this geometry/trigonometry lesson, students explore strategies to solve right triangles using basic trigonometric functions. The lesson includes an application problem in which...
Curated OER
Hunter Fred's Quest for Dinner
Learners solve problems using trigonometric functions, specifically a problem about a tree stand. Pupils try to maximize the distance of hunting sight given certain restrictions. They use the Pythagorean Theorem, sine, cosine, and...
EngageNY
Sine and Cosine of Complementary Angles and Special Angles
Building trigonometric basics here will last a mathematical lifetime. Learners expand on the previous lesson in a 36-part series by examining relationships between the sine and cosine of complementary angles. They also review the ratios...
Curated OER
Introduction to Trigonometry
Students identify the six trigonometric ratios and properties. In this trig lesson, students define basic trig functions as it relates to solving right triangles. They identify the equation for sine as o/h and cosine as a/h and tangent...
Curated OER
Trigonometric Functions of Acute Right Triangles
Students derive the six trigonometric functions. In this trigonometry lesson, students show their understanding of trigonometric functions as they relate the right triangles. They find the missing angles and side use trig ratios of sine,...
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
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
Follow That Graph
Young scholars investigate the graphs of six trigonometric functions. They discover how changes in the equation of the basic function affect the graph of the function.
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...
Curated OER
Triangulation
Students calculate the triangulation of a box. In this triangulation lesson plan, students participate in an activity to find the calculate and then perform triangulations. They create a box and use formulas to determine the...
Curated OER
Investigating the properties of a circle
Young scholars use wax paper to look at different properties of circles such as chords, tangent lines, inscribed angles, and inscribed angles in a semi-circle, as well as finding the center of the circle, and use GSP to investigate...
Curated OER
Law of Cosines
Students model scenarios using functions and their properties. In this trigonometry lesson, students calculate the angles of sine, cosine and tangent. They perform operation using a calculator.
Curated OER
Applications of Triangles
Students apply the properties of a right triangle. In this triangle lesson, students describe and compare radians to degrees. They solve problems using the properties and ratios of a right triangle.
Curated OER
How Tall is that Tree?
Students apply their math skills to develop an accurate estimate of the height of a tall tree. Three different methods are outlined. All grade levels should be able to perform the shadow method and the proportional method.
Curated OER
La Toteca- A Tropical Paradise
Students collect data on the time of the ferry. For this algebra lesson, students use the data to predict a ferry schedule. They also compute the depth where oxygen would be needed when diving.