Illustrative Mathematics
Satellite
Learners practice relating rules of trigonometry and properties of circles. With a few simplifying assumptions such as a perfectly round earth, young mathematicians calculate the lengths of various paths between satellite and stations....
101 Questions
Marine Ramp
Boat ramps move with waves and changes in water level. Scholars decide on the proper length for a ramp so the angle connecting both sides is appropriate. They visualize the situation and use a simulation to view the results with their...
Curated OER
Introducing Trig
Fifth graders explore the importance of triangles in the real world. They find the unknown side of a right triangle using a scale drawing. Students use Pythagoras' Theorem and other appropriate ratios.
Curated OER
The Tangent Ratio
Learners calculate the tangent ratio given a right triangle. In this trigonometry lesson, students use a right triangle and the Pythagorean Theorem to solve problems.
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
Finding Trigonometric Ratios
In this finding trigonometric ratios activity, 11th graders solve and complete 22 various types of problems. First, they find the value of each trigonometric ratio to the nearest ten-thousandth. Then, students use a calculator to find...
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
Trigonometry Worksheet 9
Learners use addition and subtraction formulas and special reference triangles to solve a variety of trigonometric problems. Sine, cosine, and tangent problems in both radians and degrees are included.
Illustrative Mathematics
Converse of the Pythagorean Theorem
Use the given tasks and detailed teacher's commentary to introduce your 8th graders to the Pythagorean theorem and its converse. Embedded links to information about Egyptian geometry make your presentation interesting. Consider giving...
101 Questions
Catcher to 2nd
Who's on second? Young mathematicians use a diagram of a baseball field to find the distance a catcher must throw to reach second base. A brief video of such a play during a baseball game sets the stage for the assignment.
Radford University
Football Tackle Problem
Tackle a task on the gridiron. Scholars use geometric concepts to determine the distance on a coordinate plane that certain football players need to move for a play. They then design their own plays and create presentations where they...
Curated OER
Trigonometric Identities
In this trigonometric instructional activity, students solve problems using the 6 trigonometric ratios. They solve problems using the properties of a right triangle. There are 11 questions with an answer key.
Curated OER
Unit Circle and Triangle
Students apply the Unit Circle to solve ratios of triangles. In this geometry lesson, students derive the different ratios of a triangle using the Pythagorean Theorem. They find the angles of a unit circle using a right triangle.
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
Unit Circle Triangle
Students find the different ratios of a right triangle. In this geometry lesson, students apply the concept of the Pythagorean theorem as they identify the different angles and parts of a Unit Circle. They find the ratios of sine,...
Curated OER
Geometry: Solving Right Triangles
Students use trigonometry skills to solve right triangle problems. After the teacher presents several examples, they solve problems on worksheets and discuss their solutions with partners. In a final activity, students determine the...
Curated OER
Trig River
Young scholars calcute distances using trigonometry and angle measurements. They estimate the width of the Trig River, measure it and compare their results with their classmates. They collaborate with a group to research and find the...
Curated OER
How are Trig Ratios Used to Measure Triangle Sides
Students identify the ratios of trig identities. In this geometry lesson, students solve the missing sides and angles of triangles using trig ratios. They relate the graphs and waves to real life scenarios.
Curated OER
Using Slope Angles
In this geometry activity, 10th graders use right triangle trigonometry to solve problems involving angle of elevation or depression. The one page activity contains eleven problems. Answers are not provided.
Inside Mathematics
Rhombuses
Just what does it take to show two rhombuses are similar? The assessment task asks pupils to develop an argument to show that given quadrilaterals are rhombuses. Class members also use their knowledge of similar triangles to show two...
EngageNY
Between-Figure and Within-Figure Ratios
Tie the unit together and see concepts click in your young mathematicians' minds. Scholars apply the properties of similar triangles to find heights of objects. They concentrate on the proportions built with known measures and solve to...
Curated OER
The Laws of Sines and Cosines Made Simple!
Young scholars study the law of sine and cosine. In this pre-calculus activity, students create a triangle and identify the different ratios of a non-right triangle. They use the properties of sine and cosine to solve.
Curated OER
Cosine
In this cosine learning exercise, 10th graders solve 10 different problems that include various measures of angles. They determine the value of x in each problem using the cosine of the given angle. Then, students substitute the answer...
Curated OER
Pilots, Airplanes, and the Tangent of Three Degrees
High schoolers explore how to use trigonometry in the aviation field. In this aviation instructional activity students complete trigonometry equations that show what planes should do to land their airplanes.