Curated OER
Math Worksheet: Geometry Problem (3)
In this geometry worksheet, students find the missing side of a triangle within a triangle. Students use sine and cosine relationships as well as the Pythagorean Theorem.
Curated OER
The Sine and Cosine Ratios
For this geometry worksheet, 10th graders write the ratio that represents the sine and cosine of the indicated angle. The one page worksheet contains two multiple choice questions. Answers are included.
CK-12 Foundation
Vertical Translations: Vertical Shift of Sinusoidal Functions
Create a shift in TV viewing habits. The interactive presents a cosine model of an individual's TV viewing habits during a year. Class members move the model to reflect given conditions. Finally, they determine key features from the...
CK-12 Foundation
Determination of Unknown Triangle Measures Given Area: Jib Sheets
Solving triangles is a breeze. Young boat enthusiasts solve problems involving triangles in the context of sails on a boat. They must apply different strategies, including the Law of Cosines and area formulas.
Curated OER
Hunter Fred's Quest for Dinner
Learners solve problems using trigonometric functions, specifically a problem about a tree stand. Pupils try to maximize the distance of hunting sight given certain restrictions. They use the Pythagorean Theorem, sine, cosine, 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.
Alabama Learning Exchange
"I Saw the Sine"
Discover trigonometric ratios that complement each other. Using two videos, the lesson introduces the trigonometric ratios. The class discovers the relationship between the sine and cosine of complementary angles.
CK-12 Foundation
Horizontal Translations or Phase Shifts: Sine
Shift a trigonometric function and find its new equation. Pupils translate a sine function on a graph. The scholars determine the equation of the function that represents the translated graph and observe the connection between a...
Curated OER
Geometry Exploration Basic Trig Functions
Tenth graders solve for missing sides on a triangle using the Pythagorean Theorem. In this geometry lesson, 10th graders are introduced to basic trigonometry functions as they solve problems of right triangles. They discuss the formulas...
Curated OER
Cosine
In this cosine instructional activity, 10th graders solve 10 different problems that include various triangles. They determine the cosine of one point in each triangle illustrated. Then, they apply the line segments given to each and...
Willow Tree
The Pythagorean Theorem
There isn't a more popular geometry formula than the Pythagorean Theorem! Learners understand the special side relationships in a right triangle. They use the Pythagorean Theorem to find missing sides and to solve problems. They begin...
CK-12 Foundation
Tangent Graphs: Slope and Angle
Learning about tangents doesn't have to be a slippery slope. Pupils drag a point around a unit circle to see how angle affects the slope of a line. They individually answer a set of challenge questions to come to the conclusion that...
CK-12 Foundation
Fundamental Trigonometric Identities: Tangent Identity
An identity that thieves can't steal the tangent identity. Scholars manipulate ratios to investigate the tangent ratio and connect it to the sine and cosine ratios. An interactive that uses color coding helps with this task.
Inside Mathematics
Hopewell Geometry
The Hopewell people of the central Ohio Valley used right triangles in the construction of earthworks. Pupils use the Pythagorean Theorem to determine missing dimensions of right triangles used by the Hopewell people. The assessment task...
Curated OER
Algebra And Trigonometry - Week 3: Law of Sines
For this law of sines worksheet, students read story problems. They use both algebra and the law of sines and cosines to solve problems. This two page worksheet contains seven problems.
Curated OER
Arc Length Lesson
Students find the length of the arc of a circle. In this geometry instructional activity, students calculate the length of an arc and find the measure of the central angle given the length of the arc. They convert between linear and...
Curated OER
Exploring Trigonometric Ratios
Students identify the ratios of trig functions. In this trigonometry lesson, students construct triangles and use it to derive the values of sine, cosine and tangent. They use Cabri software to create the visual of the identities.
Illustrative Mathematics
Satellite
Learners practice relating rules of trigonometry and properties of circles. With a few simplifying assumptions such as a perfectly round earth, young mathematicians calculate the lengths of various paths between satellite and stations....
Curated OER
Trigonometric Ratios
In this trigonometric ratios worksheet, students determine the value of trigonometric ratios. They find the area of triangles, determine the length of one side, and compute the degrees in an angle. This five-page worksheet contains 55...
EngageNY
Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
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 argument...
Curated OER
Unit Circle Triangle
Learners find the different ratios of a right triangle. In this geometry lesson, students apply the concept of the Pythagorean theorem as they identify the different angles and parts of a Unit Circle. They find the ratios of sine,...
CK-12 Foundation
Finding Exact Trigonometric Values Using Double Angle Identities: Trig Values Using Double and Half Angle Formulas
The more you know, the more you can learn. Scholars apply the double angle and half angle formulas to determine trig values based on known values. They use an interactive that provides sine and cosine values to aid calculations.
Curated OER
Tangent
For this tangent worksheet, 10th graders solve 10 different problems that include various tangent lines. They find the value of x using the tangent of each given angle of various triangles illustrated. Then, students identify and define...