Center for Innovation in Mathematics Teaching
Trigonometry
This unit covers the basic trigonometry including understanding radians, how to convert between radians and degrees, the area of a circle subtended by an angle, basic properties and graphs of sine, cosine, tangent, and solving...
Curated OER
Modeling With Circular Functions
Students explore circular functions. They identify the amplitude, period, phase shift and vertical shift of circular functions. Students analyze phenomena described by sine waves and they find mathematical models for transforming images...
Curated OER
Exploring Trigonometric Functions
Students are introduced to the characteristics of trigonometric functions. In groups, they analyze graphs of sine and cosine to determine the lengths of a triangle. They compare and contrast the graphical and numerical characteristics...
Curated OER
Investigating Transformations
For this trigonometry worksheet, students investigate the transformations that can occur to the basic trigonometric functions. The thirteen page worksheet contains explanation, examples, and forty-seven...
Curated OER
Exploring Trigonometric Ratios
Students calculate the different ratios using a right triangle. In this trigonometry lesson, students identify the sine, cosine and tangent of each side. They find the missing angles using the different ratios.
Curated OER
Trigonometric Functions of Special Angles
Students explore the concept of the six trigonometric functions, places where the functions can be utilized, and apply these functions to several electrical application problems.
Curated OER
Ten Trigonometric Review Problems - Calculator Required
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.
Curated OER
Using Slope Angles
In this geometry worksheet, 10th graders use right triangle trigonometry to solve problems involving angle of elevation or depression. The one page worksheet contains eleven problems. Answers are not provided.
Curated OER
The Mathematics of Space and Place
Students investigate the measurements and geometry of the school grounds. They conduct inquiry while measuring the campus and some of the city blocks. Then students draw a map to scale and categorize property types using a pie graph.
Curated OER
Diameter, Radius and Area
Pupils calculate the diameter, radius and area of a circle. In this geometry lesson, students investigate the different ratios of a circle. They calculate the surface are of each circle.
Curated OER
Radian Measure
In this Algebra II/Pre-calculus instructional activity, students explore radian measure of an angle and convert between degree and radian measure. The seven page instructional activity contains explanation, examples, and nineteen...
Curated OER
Linear - Quadratic Systems
In this quadratic system instructional activity, students solve systems of linear equations. This one-page instructional activity contains two story problems where students write their own system of equations and then solve. The...
Curated OER
River Width
Middle schoolers determine the level of accuracy needed for computations involving measurements and irrational numbers. They use the correct number of digits in computation to achieve an appropriate unit or level of accuracy when...
Curated OER
Measuring Angles
Third graders describe an amount of turn from a particular position to another using the 'circular' benchmarks of 0, ++, ++, ++, and full turn. Estimation language such as 'just about', 'between', 'not quite', 'just over', and similar...
CK-12 Foundation
Ck 12: Trigonometry: Reference Angles and Angles in the Unit Circle
[Free Registration/Login may be required to access all resource tools.] Definition of reference angle shown on the unit circle.
Lawrence Hall of Science
The Math Page: Trigonometry: Analytic Trigonometry the Unit Circle
Here is a site that clearly and thoroughly explains the unit circle and all six trigonometric functions of all quadrantal angles. There are example problems solved, problems for the student to attempt, and answers to the student...
Analyze Math
Analyze Math: Special Angles on Unit Circle
Learners explore the special angles between 0 and 2 pi on a unit circle. The special angles can be used to solve trigonometry problems.
McGraw Hill
Glencoe Mathematics: Quiz on Trigonometric Functions on the Unit Circle
Learners demonstrate comprehension of advanced mathematical concepts in Trigonometry. The questions check understanding on the topic of trigonometric functions on the unit circle.
Oswego City School District
Regents Exam Prep Center: Unit Circle
Two hands-on lab activities for instructors to use when teaching about the coordinate graphs of the sine, cosine, and tangent functions derived from a unit circle. The graphs of the reciprocals of the three functions are investigated....
Alabama Learning Exchange
Alex: Traveling Around the Unit Circle
This lesson is intended to review the key ideas associated with trigonometric functions.The design of this lesson provides a collection of reproducible activities to be used in a classroom setting where students have varied backgrounds /...
Lawrence Hall of Science
The Math Page: Trigonometry
Concepts in Trigonometry are explained and illustrated here by a member of the math department at Borough of Manhattan Community College.
Math Is Fun
Math Is Fun: Trigonometry
Students explore trigonometry concepts through this collection of definitions, lessons, examples problem-solving steps and strategies, and practice problems. Topics include solving triangles, trigonometric functions, theorems, and the...
Mathigon
Mathigon: Geometry: Circle and Pi: Degrees and Radians
Rather than dividing a circle into some number of segments (like 360 degrees), mathematicians often prefer to measure angles using the circumference of a unit circle - a circle with radius 1. This way of measuring angles is called...