Embedded Math
The Unit Circle
You and your learners will enjoy having a nicely organized, typed up unit circle, all filled in with degrees and radians as well as cartesian coordinates.Ā
EngageNY
Special Triangles and the Unit Circle
Calculate exact trigonometric values using the angles of special right triangles. Beginning with aĀ review of the unit circle and trigonometric functions, class members use their knowledge of special right triangles to find the value of...
Project Maths
The Unit Circle
It's not just any circleāit's the unit circle. The fourth instructional activity in the series is an introduction to the famous unit circle. While working through a series of activities, young scholars learn the components of the unit...
Alabama Learning Exchange
Unit Circle: Special AnglesāJust 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.
Concord Consortium
Measuring the Unit Circle
Here's the right task to investigate right triangles in the unit circle. A short performance task has learners determine the product of two side lengths in a unit circle. They must apply similarity concepts and trigonometric ratios to...
Curated OER
Unit Circle
In this Pre-Calculus worksheet, students solve problems involving angles and the unit circle.Ā The four page worksheet contains a combination of twenty multiple choice and free response problems.Ā Answers are provided.Ā
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.Ā Answers are provided as well as a completed unit circle.
Curated OER
Exercise Set 4.3: Unit Circle Trigonometry
For this unit circle worksheet, students answer 90 short answer questions about the unit circle.Ā Students sketch angles given a radian measure.Ā Students find the trigonometric values of various angles on the unit circle.
EngageNY
From Circle-ometry to Trigonometry
Can you useĀ triangles to create a circle? Learners develop the unit circle using right triangle trigonometry. They then use the unit circle to evaluate common sine and cosine values.
CK-12 Foundation
Unit Circle: Medieval Castle Defense
Who needs a plan ā let trigonometry protect you! Pupils determine the angle of an approaching enemy to a village wall. The scholars determine the exact value of trigonometric functions for the angle. Class members use trigonometry to...
EngageNY
Writing the Equation for a Circle
Circles aren't functions, so how is it possible to write the equation for a circle? Pupils first develop the equation of a circle through application of the Pythagorean Theorem. The lesson then provides an exercise set for learners to...
5280 Math
Pythagorean Triples
From Pythagorean triples to the unit circle. Learners use the Pythagorean Theorem to find Pythagorean triples and then relate their work to the unit circle in a fun algebra project. Their discovery that x^2+y^2 is always equal to one on...
EngageNY
Properties of Trigonometric Functions
Given a value of one trigonometric function, it is easy to determine others. Learners useĀ the periodicity of trigonometric functions to develop properties. After studying the graphs of sine, cosine, and tangent, the lesson connects them...
Project Maths
Trigonometric Functions
From a circle to a cycle! The final lessonĀ of a five-part series challenges learners to use points from the unit circle to plot a repeating pattern. The repeating patterns become the graphs of the trigonometric functions. Scholars also...
CK-12 Foundation
Trigonometric Functions and Angles of Rotation: The Triangle in the Circle
Go around the unit circle and create triangles. Pupils move a point around the unit circles to visualize the triangle associated with the angle in standard position. The three main trigonometric functions are defined in terms of the legs...
Illuminations
Circumference and Areas of Circles
Middle and high schoolers listen to a scenario about a puppy and use the scenario to develop formulas in order to find the area of a circle. In this circumference instructional activity, pupils understand how to find the radius,...
Curated OER
Unit VII Energy: WS 3a Energy Transfer and Storage
Here is a nifty worksheet on energy transfer. Physics fanatics analyze a diagram and state whether or not friction is involved. They sketch bar graphs and draw energy flow diagrams for each system as well. Circular motion, movement up...
Curated OER
Civil War Literature Circle
Historical fiction can be a valuable asset when learning about the past. Integrate several novels written about the Civil War into your social studies unit, with groups of four working collaboratively to comprehend the novel from...
Curated OER
Measures of Circular Motion
Physicists become Olympians in a competition using centripetal force. They ride a bicycle to comprehend relationships between linear and rotational motion. If you have an old-fashioned record player, it can be used to help pupils...
EngageNY
Why Call It Tangent?
Discover the relationship between tangent lines and the tangent function. Class membersĀ develop the idea of the tangent function using the unit circle. They create tables of values and explore the domain, range, and end behavior of the...
Radford University
Discover Radians!
No need for radians to be mysterious. Scholars use a cardboard cut-out of a unit circle and measure the radius and circumference using a piece of string. They consider the number of radii needed to cover the entire circumference and use...
Mathed Up!
Area and Circumference of Circles
Don't go around and around, help your class determine amounts around and in a circle with a video that connects circumference to the perimeter or the distance around an object. The resource includes 14 questions dealing with circles and...
Curated OER
The Unit Circle
For this unit circle worksheet, students measure angles in circles and label each point in the amount of degrees, or radian measurement. They measure and label 36 angles located in three circles.
EngageNY
Algebra II Module 2: Mid-Module Assessment
Time for classes to show what they've learned. Use severalĀ tasks to assess understanding of the trigonometric functions, unit circle, radians, and basic trigonometric identities.
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