Lesson Plan
EngageNY

Proving Trigonometric Identities

For Teachers 10th - 12th Standards
Young mathematicians first learn the basics of proving trigonometric identities. They then practice this skill on several examples.
Lesson Plan
Curated OER

Finding the Area of an Equilateral Triangle

For Teachers 9th - 11th Standards
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...
Lesson Plan
EngageNY

Trigonometric Identity Proofs

For Teachers 10th - 12th Standards
Proving a trig identity might just be easier than proving your own identity at the airport. Learners first investigate a table of values to determine and prove the addition formulas for sine and cosine. They then use this result to...
Lesson Plan
Curated OER

Geometry Exploration Basic Trig Functions

For Teachers 10th
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...
Lesson Plan
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NASA

Launch Altitude Tracker

For Teachers K - 12th Standards
Using PVC pipe and aquarium tubing, build an altitude tracker. Pupils then use the altitude tracker, along with a tangent table, to calculate the altitude of a launched rocket using the included data collection sheet.
Lesson Plan
Curated OER

Trigonometric Functions of Acute Right Triangles

For Teachers 9th - 11th
Students derive the six trigonometric functions. In this trigonometry activity, students show their understanding of trigonometric functions as they relate the right triangles. They find the missing angles and side use trig ratios of...
Lesson Plan
Curated OER

Simple Harmonic Motion

For Teachers 10th - 12th
Students solve problems involving graphs. In this calculus lesson, students relate harmonic motion to velocity. They discuss the derivative and the effect on the functions created.
Lesson Plan
Curated OER

Angles in Standard Positions

For Teachers 9th - 11th
Students identify positive and negative angles using the Unit Circle. In this pre-calculus lesson, students identify the different angles on a unit circle using the coordinate plane and the four different quadrants as a guide. They...
Lesson Plan
Curated OER

Law of Cosines

For Teachers 7th - 9th
Students model scenarios using functions and their properties. In this trigonometry lesson plan, students calculate the angles of sine, cosine and tangent. They perform operation using a calculator.
Lesson Plan
Curated OER

Pythagoras' Theorem

For Teachers 8th - 12th
Students are introduced to the Pythagoras' Theorem and its history, proofs and practice in application. Students find perimeters, areas and volume of everyday objects. Students state and explain the theory.
Lesson Plan
Curated OER

Integration by Substitution

For Teachers 11th - Higher Ed
Looking for help in introducing integration by substitution to your calculus young scholars?  Here is a lesson that walks a learner through a review of the change rule, and then by starting with more recognizable derivatives, it...
Lesson Plan
Curated OER

Applications of Triangles

For Teachers 9th - 11th
Young scholars apply the properties of a right triangle. In this triangle instructional activity, students describe and compare radians to degrees. They solve problems using the properties and ratios of a right triangle.
Lesson Plan
Curated OER

Poppy Meets Pythagoras

For Teachers 8th
Eighth graders find connections between numbers in a table; use Pythagoras' theorem in a general algebraic form; and measure accurately from a scale drawing to find a method that might enable the helicopter to land inside a rectangular...