Unit Plan
Mathematics Vision Project

Module 6: Trigonometric Functions

For Students 9th - 12th Standards
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...
Worksheet
Curated OER

Trigonometry

For Students 10th - 12th
In this right triangles worksheet, students use trigonometric ratios to determine the length of a side of a triangle or a missing angle measurement.  This two-page worksheet contains 20 problems.
Lesson Plan
Curated OER

Intro to Trigonometry

For Teachers 6th - 8th
After being introduced to the basic trigonometry functions, learners calculate the height of school landmarks. They experiment with different angles to find the correct height.
Lesson Plan
Curated OER

Trigonometry

For Teachers 10th - 12th
Students investigate angles converting them from radians to degrees. In this trigonometry instructional activity, students work with angles and the six different trig ratios. They graph the functions representing each trig functions and...
Lesson Plan
Curated OER

Trigonometry Ratios

For Teachers 9th - 12th Standards
Learners identify the different angles and sides of a triangle. In this geometry lesson, students identify the six trigonometric ratios. They graph the graph of each trig function and analyze it.
Interactive
Curated OER

Trigonometry Applications

For Students 10th
In this geometry worksheet, 10th graders solve application word problems involving the use or right triangle trigonometry, including angle of elevation or depression. The one page interactive worksheet contains five questions. Hints,...
Organizer
Curated OER

Year 10 Trigonometry

For Students 11th - Higher Ed
In this math worksheet, students complete the graphic organizers while filling in the missing values by using the trigonometric ratios.
Worksheet
Curated OER

PreCalculus Test Sections 5.1 - 5.2

For Students 10th - 12th
In this pre-calculus learning exercise, students simplify given equations.  They prove given identities.  This two-page learning exercise contains 12 multi-step problems. 
Worksheet
Curated OER

Trigonometry Triangles

For Students 11th
In this trig worksheet, 11th graders investigate the 6 trigonometry identities and their cofunctions. They use them to solve trig problems as related to right triangles. There are 5 questions with an answer key.
Lesson Plan
Curated OER

Unit Circle Lesson Plan

For Teachers 11th - 12th
Students identify different locations on a unit circle. In this precalculus lesson, students identify the different trig properties and rewrite the equation of a circle in standard form. They use mnemonic devices to help them...
Lesson Plan
Curated OER

Arc Length Lesson

For Teachers 9th - 11th
Students find the length of the arc of a circle. In this geometry lesson, students calculate the length of an arc and find the measure of the central angle given the length of the arc. They convert between linear and angular speed. They...
Worksheet
Curated OER

Precalculus Exam

For Students 11th - 12th
In this precalc lesson, learners write out definitions, identify functions, solve integrals and derivatives and graph trig functions as they relate to angles. This is a final exam for precalculus. There are 80 questions on this exam.
Lesson Plan
Curated OER

Applications of Triangles

For Teachers 9th - 11th
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.
Worksheet
Curated OER

Triangles

For Students 6th - 10th
In this triangles worksheet, students solve for the missing angles and missing sides on the triangles given. Students complete 12 problems total.
Worksheet
Curated OER

Ten Trigonometric Review Problems - Calculator Required

For Students 11th - Higher Ed
In this trigonometry review worksheet, students convert between radians and degrees, sketch angles, evaluate trig. functions, solve for missing angles, and find the functions that satisfy the given conditions.
Lesson Plan
Curated OER

As the Bird Flies

For Teachers 7th - 8th
Students investigate the properties of lines and congruent triangle theorems as well as apply geometric properties and relationships to real-world mathematical problems. Given two different scenarios, they examine maps that have been...
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.
Worksheet
Curated OER

Derivative Formulas

For Students 9th - 11th
For this calculus worksheet, students solve functions using the derivative formulas. There are 26 formulas for them to review and go over.
Lesson Plan
Curated OER

Understanding Fundamental Trigonometric Identities

For Teachers 9th - 12th
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...
Lesson Plan
Curated OER

Launches for the Stars

For Teachers 7th - 8th
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...
Lesson Plan
Curated OER

Trigonometric Applications Outside the Classroom

For Teachers 5th
Fifth graders describe and demonstrate how trigonometry can be used to find the height of a tall building or tree. They describe and demonstrate how trigonometry can be used to find the height of a high hill, or other high object where...
Lesson Plan
EngageNY

Inverse Trigonometric Functions

For Teachers 11th - 12th Standards
Build on the understanding of finding angles using trigonometric ratios. Pupils develop the definitions of inverse trigonometric functions by restricting their domains in the 13th lesson of a 16-part series. They use inverse functional...
Lesson Plan
Curated OER

You Can't Go Wrong with a Right Triangle 2

For Teachers 3rd - 5th
Upper graders use the properties of right angle trignonmetry to measure objects such as the school flagpole. They solve real world problems using these properties.
Lesson Plan
Curated OER

Derivatives of Exponential Functions

For Teachers 11th - 12th
Learners take derivatives of exponential functions.  In this taking derivatives of exponential functions lesson, students prove the derivative of an exponential function is the exponential function.  Learners find derivatives...