Curated OER
Quadrantal Angles
In this quadrantal angle worksheet, learners determine the six trigonometric for each quadrant angle. This one-page worksheet contains 36 problems, with answers printed at the bottom of the page.
Curated OER
Angles Activities
A series of geometry worksheets have mathematicians constructing, dissecting, overlapping, and measuring as they analyze angles in various contexts. Learners use symmetry and reflections in a compass rose to write instructions on...
Alabama Learning Exchange
Unit Circle: Special Angles—Just Know One
It's all about the patterns! Young scholars learn that the unit circle repeats itself in all four quadrants. Using these patterns, they evaluate the sine, cosine, and tangent of special angles.
Curated OER
Related Angles
In this angle worksheet, students identify angles and then determine the related angle. Examples are provided. This one-page worksheet contains 36 problems, with answers at the bottom of the page.
Curated OER
Reference Angles
Learn how to measure the reference angles in degrees and radians. Students find reference angles that are coterminal with a given angle.
Curated OER
Method for Remembering the Coordinates of the Points in the First Quadrant on the Unit Circle
In this Unit Circle worksheet, students explore a method to help remember the coordinates of the points in the first quadrant on the unit circle. Answers are provided as well as a completed unit circle.
West Contra Costa Unified School District
What Is a Radian?
Here's an algebra II activity that strives to make the concept of a radian less abstract and more conceptual. It takes a hands-on approach to exploring the idea of a radian and allows individuals to develop a definition of a radian...
Curated OER
Angles and Angle Measure
In this trigonometry worksheet, students convert between degrees and radians. They use the unit circle to identify the measure of angles. There are 28 questions with an answer key.
Curated OER
Angles in Standard Positions
Students identify positive and negative angles using the Unit Circle. In this pre-calculus instructional activity, students identify the different angles on a unit circle using the coordinate plane and the four different quadrants as a...
EngageNY
Special Triangles and the Unit Circle
Calculate exact trigonometric values using the angles of special right triangles. Beginning with a review of the unit circle and trigonometric functions, class members use their knowledge of special right triangles to find the value of...
Curated OER
PreCalculus Test 3: Angle Measurement
In this angle measurement instructional activity, students identify the domain and range of given problems. They determine the amplitude, period and horizontal translation of given functions. This two-page instructional activity...
Flipped Math
Reference Triangles
It is all about where the side is located. Pupils use their knowledge of angles in standard position to find reference angles. They use the Pythagorean Theorem to find lengths along a terminal side of an angle to determine the exact...
Flipped Math
Unit Circle and Radians
Measure angles is easy as pi. Pupils review special right triangles to find exact values for trigonometric functions. Scholars learn about radians and how they connect to measurements in degrees. They find exact and approximate values of...
Curated OER
Exercise Set 4.3: Unit Circle Trigonometry
For this unit circle worksheet, students answer 90 short answer questions about the unit circle. Students sketch angles given a radian measure. Students find the trigonometric values of various angles on the unit circle.
Curated OER
Understanding Angles
In this geometry worksheet, students identify the different measure of each angle. They rotate the rays around and make observations about the angles formed. There are 15 questions and lots of examples.
EngageNY
Locating Ordered Pairs on the Coordinate Plane
Four quadrants, four times the fun. Future mathematicians learn the terminology associated with the coordinate plane and how to plot points in all four quadrants. A worksheet tests their understanding of the material in the 16th...
Curated OER
Sixteen Angle Pre-calculus Trig Problems
In this angle worksheet, students solve ten multiple choice and six free response questions. These precalculus questions cover angles, radians, and right triangles.
Curated OER
Gravity, Angles, and Measurement
Young scholars relate math to real life scenarios. For this geometry lesson, students launch a ball tracking each launch using a graph. They analyze their data for speed, angles and distance, trying to improve on each launch.
NASA
Foam Rocket
When going for distance, does it make a difference at what angle you launch the rocket? Teams of three launch foam rockets, varying the launch angle and determining how far they flew. After conducting the series of flights three times,...
Illustrative Mathematics
Finding Trig Values
Let's keep trigonometry simple. When given a cosine ratio, learners must use the clues about the quadrant to determine the sine and tangent ratios. The answer key has a complete worked-out solution to help guide pupils through the problem.
CK-12 Foundation
Domain, Range, and Signs of Trigonometric Functions: Sine and Cosine
Is there a relationship between the sign of sine and cosine and the angle on the unit circle? Scholars use an interactive to see the value of sine and cosine within different quadrants. they then use the information to determine the...
Curated OER
Got Complements? with Cabri Jr.
Learners use the axes and measure angle tool to explore and calculate complementary angles with Cabri Jr. They also identify what happens to the calculation as they drag the endpoint into a different quadrant. Finally, they label each...
Curated OER
Intersecting Lines
In this intersecting lines activity, 10th graders identify and complete 10 different problems that include equidistant intersecting lines. First, they write the equation of the locus of points equidistant from the x-axis and the y-axis...
Curated OER
Worksheet 35 - Fall 1995
In this math worksheet, students sketch the graphs labeling the point of intersection in the first quadrant. Then they find the area of Ω.