Learners apply the properties of a right triangle. For this triangle lesson, students describe and compare radians to degrees. They solve problems using the properties and ratios of a right triangle.

Ninth graders find the height of an object that would be difficult or impossible to measure directly. They construct and use a Clinometer to measure the angle of elevation (or depression). Students create a sketch of the measurement...

Increase the level of assessment rigor with the test of performance tasks. Topics include similar triangles, trigonometric ratios, Law of Sines, Law of Cosines, and trigonometric problem solving. 

Everyone's heard of Pythagoras, but who's Ptolemy? Learners test Ptolemy's Theorem using a specific cyclic quadrilateral and a ruler in the 22nd installment of a 23-part module. They then work through a proof of the theorem.

Use the Law of Cosines and the Law of Sines to solve problems using the sums of vectors. Pupils work on several different types of real-world problems that can be modeled using triangles with three known measurements. In the process,...

Tenth graders identify the trigonometric ratios for right angled triangles. Through independent investigation, they discover the constancy between the ratios of any two sides of similar triangles. In an alternative method, 10th graders...

Students define the laws of sine as it relates to a right triangle. In this trigonometry lesson, students identify the properties of sine to help then find mixing sides of a right triangle. They also solve for the missing angles.

Learners relate projectile motion to parametric equations as they identify the velocity and angle of a projectile. They create a picture on the navigator to visualize the word problem.

It's time to show what you know! Individuals first review finding the area of polygons using the formulas from parallelograms to regular polygons. They then brush up on finding the area and circumference of circles, as well as reviewing...

Students measure using tools they have made. In this algebra lesson, students measure the height and distance using non-traditional measuring methods. They apply their findings to algebra and trigonometry properties of measurements.

Students solve problems using the Pythagorean Theorem. In this geometry lesson, students identify the sides and angles of a right triangle. They find the different trigonometric ratios and solve using sine, cosine and tangent.

Students measure distances using parallax. In this math lesson, students explain how this method helped astronomers with their studies of the solar system. They determine the length of their arm using parallax and compare it with other...

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.

In this geometry worksheet, 10th graders write the ratio that represents the sine and cosine of the indicated angle.  The one page worksheet contains two multiple choice questions.  Answers are included. 

Tenth graders answer a variety of problems based on similar triangle and learn about the rule of thumb. They will test the rule of thumb by estimating the distance to an object in the classroom.

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,...

Create trigonometric functions from circles. The first lesson of the module begins by finding coordinates along a circular path created by a Ferris Wheel. As the lessons progress, pupils graph trigonometric functions and relate them to...

Prove the Pythagorean Theorem using multiple informal proofs. Scholars first develop an understanding of the origins of the Pythagorean Theorem through proofs. They round out the lesson plan by using the theorem to find missing side...

In this math worksheet, students determine the name for each triangle according to its classification. Then they create a truss construction model.

Students use the inequality theorem to solve triangles and their properties. In this geometry lesson plan, students are given spaghetti of different lengths and asked to create triangles. They conclude the necessary length needed to make...

In this geometry learning exercise, students solve missing parts of a triangle using the Pythagorean Theorem. There are 19 questions with an answer key.

Young scholars are introduced to the basic trigonometric identities. Using a diagram, they discover why the parts of the unit circle as named as they are and use equations to finalize the Pythagorean trigonometric identities. They also...

High schoolers calculate the perimeter of shapes. In this geometry lesson, students relate properties of polygons to the real world. They find length, midpoint and slope.

Students explore the concept of the corner problem. In this corner problem instructional activity, students use the TI-NSpire to determine the maximum length a rod can be and still pass horizontally around a corner. Students use similar...