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EngageNY
The Motion of the Moon, Sun, and Stars—Motivating Mathematics
What does math have to do with the behavior of the earth and sun? Learn how the movement of celestial bodies has influenced the development of trigonometry. Scholars connects the details in mathematics to their...
EngageNY
Addition and Subtraction Formulas 1
Show budding mathematicans how to find the sine of pi over 12. The third instructional activity in a series of 16 introduces the addition and subtraction formulas for trigonometric functions. Class members derive the formulas using...
Curated OER
Scoring Guide for the Algebra 2/Trigonometry Test Sampler
Students take an Algebra II/Trigonometry sample test. In this Algebra II/Trigonometry sample sample test lesson, students take a sample test for Algebra 2/Trigonometry. Students solve 39 multiple choice/short answer...
EngageNY
Multiplying and Dividing Rational Expressions
Five out of four people have trouble with fractions! After comparing simplifying fractions to simplifying rational expressions, pupils use the same principles to multiply and divide rational expressions.
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...
EngageNY
Trigonometry and the Pythagorean Theorem
Ancient Egyptians sure knew their trigonometry! Pupils learn how the pyramid architects applied right triangle trigonometry. When comparing the Pythagorean theorem to the trigonometric ratios, they learn an important connection that...
EngageNY
Trigonometry and Complex Numbers
Complex numbers were first represented on the complex plane, now they are being represented using sine and cosine. Introduce the class to the polar form of a complex number with the 13th part of a 32-part series that defines the...
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...
Curated OER
Concepts in Precalculus 1: Trigonometry
Students investigate trigonometry. In this Algebra II/Pre-calculus/Trigonometry activity, students explore Islamic achievements in mathematics as they calculate angles and distances using the Law of Sines and the Law of...
CK-12 Foundation
Finding and Defining Parts of a Polynomial Function Graph
So many things to remember when graphing polynomials and this guide gives a helping hand to do so. The packet goes through examples and explains things like critical values, end behavior, and multiplicities. There are image links and...
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.
Curated OER
Algebra 2/Trigonometry Regents Exam
Twelfth graders test their knowledge of Algebra II and Trigonometry. In this Algebra II/Trigonometry activity, 12th graders are provided with a copy of an Algebra II/Trigonometry Regent Exam from the fall of 2009. The exam...
Alabama Learning Exchange
Add, Subtract, and Multiply Matrices
Introduce the concept of matrices with a pre-designed instructional activity. Learners watch video lessons to learn the ins and outs of adding, subtracting, and multiplying matrices. Using provided problems, they practice each operation...
Curated OER
Trig Transformations
Learners investigate trigonometric function. In this Algebra II lesson, students explore functional notation and transformational graphing of trigonometric functions.
Curated OER
Proof of Identity
Learners explore trigonometric identities. In this Algebra II lesson, students use graphing to verify the reciprocal identities. Using Cabri Jr, learners investigate the Pythagorean trigonometric identities and the...
EngageNY
An Area Formula for Triangles
Use a triangle area formula that works when the height is unknown. The eighth installment in a 16-part series on trigonometry revisits the trigonometric triangle area formula that previously was shown to work with the acute triangles....
Curated OER
Introducing Trigonometry
Eleventh graders explore the three basic trigonometric functions. In this trigonometry/Algebra II instructional activity, 11th graders use GeoGebra and the unit circle to define the ratios of sides is a right triangles as they examine...
EngageNY
Unknown Angles
How do you solve an equation like trigonometry? Learners apply their understanding of trigonometric ratios to find unknown angles in right triangles. They learn the meaning of arcsine, arccosine, and arctangent. Problems include...
Curated OER
Sled Kites and Trigonometry
Students study the history of kites and their fundamental properties. For this kites lesson students divide into teams and build and fly kites.
Curated OER
Who am I? Find A Polynomial From Its Roots
High schoolers generate the equation of a polynomial given its roots and the end behavior of the function. They need to apply theorems concerning the multiplicity of roots, conjugates of irrational or imaginary roots to find a...
Curated OER
Relating Distance and Velocity Over Time
Students calculate the distance and velocity over time. In this algebra lesson, students graph a linear function to represent the distance vers time travel. They interpret their graphs and draw conclusion.
Alabama Learning Exchange
Complex Numbers Solutions
Complex doesn't have to mean harder! Learners experiment with online software to determine the quadratic equations with complex solutions. They use the quadratic formula to solve equations with both real and complex solutions.
Alabama Learning Exchange
Radians: Just Another Way
Serve up angle measurements on paper plates. Pupils use paper plates and paper-folding techniques to create a unit circle with conversions for special angles. Using their plates, learners explore the relationship between angle...
EngageNY
Revisiting the Graphs of the Trigonometric Functions
Use the graphs of the trigonometric functions to set the stage to inverse functions. The lesson reviews the graphs of the basic trigonometric functions and their transformations. Pupils use their knowledge of graphing functions to model...