Curated OER
Finding the Area of an Equilateral Triangle
The problem seems simple: find the area of the equilateral triangle whose sides are each length 1. In fact, this same problem is solved in 8th grade, addressing a different Common Core standard, using the formula for area of a triangle...
EngageNY
Special Relationships Within Right Triangles—Dividing into Two Similar Sub-Triangles
Why are right triangles so special? Pupils begin their study of right triangles by examining similar right triangles. Verifying through proofs, scholars recognize the three similar right triangles formed by drawing the altitude. Once...
EngageNY
Law of Sines
Prove the Law of Sines two ways. The ninth segment in a series of 16 introduces the Law of Sines to help the class find lengths of sides in oblique triangles. Pupils develop a proof of the Law of Sines by drawing an altitude and a second...
Mathematics Vision Project
Similarity and Right Triangle Trigonometry
Starting with similar triangles and dilation factors, this unit quickly and thoroughly progresses into the world of right triangle features and trigonometric relationships. Presented in easy-to-attack modules with copious application...
EngageNY
Using Trigonometry to Find Side Lengths of an Acute Triangle
Not all triangles are right! Pupils learn to tackle non-right triangles using the Law of Sines and Law of Cosines. After using the two laws, they then apply them to word problems.
Curated OER
Altitude to the Hypotenuse
Can your class solve right triangles and identify the properties common to right triangles? They will investigate and state the relationship between the altitude to the hypotenuse and the two segments of the hypotenuse formed by the...
EngageNY
Using Trigonometry to Determine Area
What do you do when you don't think you have enough information? You look for another way to do the problem! Pupils combine what they know about finding the area of a triangle and trigonometry to determine triangle area when they don't...
Curated OER
Understanding Fundamental Trigonometric Identities
Students 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 review...
Curated OER
Graphing Trig Functions
In this graphing trigonometric functions worksheet, 11th graders solve and complete 10 various types of problems. First, they graph each functions as shown. Then, students find the domain in each given function. In addition, they find...
Curated OER
Trigonometric Word Problems
In this trigonometric word problems worksheet, 10th graders solve 16 different problems that include various trigonometric situations. First, they determine at what angle a ladder makes with the ground. Then, students determine the...
Curated OER
Determining the Altitude of Iridium Flares
Students examine what iridium flares are and when they occur. In this iridium flare lesson students complete an activity to see how far overhead Iridium satellites are.
Curated OER
Section 6.1-6.2 Precalculus: Trigonometry
In this trigonometry worksheet, students solve 15 triangle problems. Students use the law of sines and law of cosines to find the missing angles and side lengths of a triangles.
Curated OER
Diagonals and Altitudes
Students discover the mathematical way to find the dimensions of a diagonal. Using this process, they complete a worksheet in which they identify the relationships between different degree triangles. They review their answers and are...
Curated OER
Exploring Centers of Triangles
Students explore properties of triangles using angle bisectors, incenters, circles, midpoints, and altitudes. They use Geometer's Sketchpad in order to create triangles and their properties.
Curated OER
Pilots, Airplanes, and the Tangent of Three Degrees
Students 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.
Curated OER
Math Honors 2: Trigonometry Review Questions
In this Algebra II/Trigonometry worksheet, students solve problems involving angle of depression or elevation, evaluate trigonometric expressions, solve trigonometric equations, and graph trigonometric functions. The one page worksheet...
Curated OER
Studying Special Segments in Triangles
Students investigate special segments in triangles. In this geometry lesson plan, students graph, compare, estimate and predict findings based on their data. They differentiate between similarity and congruence of triangles.
Curated OER
The Delta Flier
Students make calculations in order to construct a kite in the shape of an isosceles right triangle. In this kite lesson students calculate altitude of their flying kites using a formula.
Curated OER
Basic Theorems and Proofs
In this pre-calculus instructional activity, 11th graders recall the three forms of the law of cosines and used it to solve problems involving triangles. They also write out the laws of sines and use those to solve problems with angles....
Curated OER
Exploring Geometric Mean
Students solve problems using geometric means. In this geometry lesson, students create altitudes in right triangles. They use Cabri software to move the triangle around and observe different sides and angles.
Curated OER
Exploring Geometric Mean
Student identify the solution using geometric mean. In this geometry lesson, students create right triangles where the altitude of the triangle is the side containing the right angle. They modify shapes using Cabri software and observe...
Curated OER
Half Angle
Students calculate the solution using half angles formulas. In this calculus lesson, students identify the different properties of a triangle using trigonometric properties. They identify the mean, altitude and angles of a triangle.
Curated OER
Launches for the Stars
Students are introduced to rockets and the space shuttle program. After viewing a 1960s show, they examine the role and history of NASA and how it evolved into having a space shuttle program. In groups, they create their own model rocket...