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...
Project Maths
The Unit Circle
It's not just any circle—it'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 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
Unit Circle
In this Pre-Calculus worksheet, students solve problems involving angles and the unit circle. The four page worksheet contains a combination of twenty multiple choice and free response problems. Answers are provided.
EngageNY
From Circle-ometry to Trigonometry
Can you use 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.
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...
EngageNY
Properties of Trigonometric Functions
Given a value of one trigonometric function, it is easy to determine others. Learners use 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 lesson 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...
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
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 members 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...
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
Equations for Tangent Lines to Circles
Don't go off on a tangent while writing equations of tangent lines! Scholars determine the equations for tangent lines to circles. They attempt both concrete and abstract examples, such as a tangent line to the unit circle through (p, 0).
Texas Instruments
Drawing a Line Tangent to a Circle
Explore lines tangent to a circle. In this math lesson, students manipulate circles and lines on a TI calculator. They draw a circle and analyze perpendicular lines intersecting the circle in only one place. This activity works best if...
Curated OER
Area of Circles and Probability
Students investigate the area of squares and circles. For this geometry lesson, students calculate the area and probability of simple events. They work on a laptop using Safari.
EngageNY
Awkward! Who Chose the Number 360, Anyway?
Don't give your classes the third degree. Use radians instead! While working with degrees, learners find that they are not efficient and explore radians as an alternative. They convert between the two measures and use radians with the...
EngageNY
Close Reading of Bullfrog at Magnolia Circle: Main Ideas about the Bullfrog
As your class reaches the end of the book Bullfrog at Magnolia Circle, the seventh lesson in this literary unit helps third graders transition from reading narrative to expository writing. Scholars develop their note-taking skills as...
EngageNY
Mid-Unit Assessment: Close Reading of Bullfrog at Magnolia Circle: Bullfrog Life Cycle
The sixth lesson plan in this Bullfrog at Magnolia Circle unit assesses your third graders' ability to read and understand informational text. The included assessment asks learners to take notes about the main idea and supporting details...
EngageNY
Close Reading of Bullfrog at Magnolia Circle: Text-Dependent Questions, Main Ideas, and Key Vocabulary about the Bullfrog
As your 3rd grade class finishes reading Bullfrog at Magnolia Circle, the eighth lesson plan of this unit helps readers from an understanding of the very specific information on the final page of the book. As with the entire unit,...
EngageNY
Continued Close Reading of Bullfrog at Magnolia Circle: Text-Dependent Questions and Vivid Words and Phrases
As 3rd graders continue reading Bullfrog at Magnolia Circle, they focus on the concepts of predator and prey in the fifth lesson plan of this unit. Scholars further develop their ability to answer questions using evidence from the text...
EngageNY
Continued Close Reading of Bullfrog at Magnolia Circle: Text-Dependent Questions and Vivid Words and Phrases
In the third activity from this unit based on the book Bullfrog at Magnolia Circle, learners focus on using specific details from the text-to-answer questions about the habitat of bullfrogs. While reading the text, young scholars are...
Curated OER
The Unit Circle
Students solve problems using the unit circle. In this precalculus lesson, students identify angles using the properties of the unit circle. They observe the trigonometric graphs and sine, cosine and tangent.
Curated OER
Unit Circle and Triangle
Students apply the Unit Circle to solve ratios of triangles. In this geometry lesson, students derive the different ratios of a triangle using the Pythagorean Theorem. They find the angles of a unit circle using a right triangle.
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