Interactive
CK-12 Foundation

Reference Angles and Angles in the Unit Circle: Exploring Reference Angles

For Students 10th - 12th Standards
A steal of a deal — get four angles for the value of one. An interactive resource allows individuals to visualize all four angles that have the same reference angle. Pupils answer questions by using the interactive to create the...
Lesson Plan
EngageNY

Informal Proofs of Properties of Dilations

For Teachers 8th Standards
Challenge the class to prove that the dilation properties always hold. The lesson develops an informal proof of the properties of dilations through a discussion. Two of the proofs are verified with each class member performing the...
Interactive
CK-12 Foundation

Complementary Angles

For Students 7th - 10th Standards
Here's an interactive that complements your lesson plans. Users of the resource adjust one of the angles in a complementary set to see how it affects the other. A set of challenge questions assesses understanding.
Lesson Plan
EngageNY

Extending the Domain of Sine and Cosine to All Real Numbers

For Students 10th - 12th Standards
Round and round we go! Pupils use reference angles to evaluate common sine and cosine values of angles greater than 360 degrees. Once they have mastered the reference angle, learners repeat the process with negative angles.
Lesson Plan
Cornell University

Light Waves: Grades 9-12

For Students 9th - 12th
Explore the behavior of light waves with a lab activity. Scholars build new vocabulary through experimentation and observation. Using different mediums, they model reflection, refraction, transmission, diffusion, and scattering of light.
Interactive
CK-12 Foundation

Angle-Angle-Side Triangles: Garden Gate

For Students 10th - 12th Standards
Good fences make good gardens. Individuals use an interactive to see how angles and sides relate in a triangular-shaped garden fence. They apply the Law of Sines to find the length of the garden gate (third side of triangle) given two...
Lesson Plan
Curated OER

Finding the Area of an Equilateral Triangle

For Teachers 9th - 11th Standards
The problem seems simple: find the area of the equilateral triangle whose sides are each length 1. In fact, this same problem is solved in 8th grade, addressing a different Common Core standard, using the formula for area of a triangle...
PPT
Bowels Physics

Light, Reflection, and Mirrors

For Teachers 9th - 12th
Explore the connection of light, reflection, and mirrors. A comprehensive lesson introduces the basics of light in relation to reflection and mirrors. After an explanation of the vocabulary, the presentation shows how to create ray...
Lesson Plan
EngageNY

Law of Sines

For Teachers 11th - 12th Standards
Prove the Law of Sines two ways. The ninth segment in a series of 16 introduces the Law of Sines to help the class find lengths of sides in oblique triangles. Pupils develop a proof of the Law of Sines by drawing an altitude and a second...
Lesson Plan
EngageNY

Arc Length and Areas of Sectors

For Teachers 9th - 10th Standards
How do you find arc lengths and areas of sectors of circles? Young mathematicians investigate the relationship between the radius, central angle, and length of intercepted arc. They then learn how to determine the area of sectors of...
Lesson Plan
EngageNY

Properties of Dilations

For Teachers 8th Standards
Investigate dilations to learn more about them. The second segment in a series of 16 provides a discussion of properties of dilations by going through examples. The problem set provides opportunities for scholars to construct dilations.
App
Carstens Studios

Math Doodles

For Students 2nd - 9th Standards
Discover the joy and excitement of improving your math fluency through four different puzzles. Combine those with 25 different ways to represent numbers and you have hours of enjoyment that can be fun outside of the classroom as well.
Interactive
CK-12 Foundation

Bisectors of Line Segments and Angles: Cut a Line

For Students 9th - 12th
Geometric constructions build relationships —by simply manipulating simple tools. An interactive lesson presents a completed construction of a segment bisector and has learners analyze the important aspects. Ultimately, they should be...
Performance
Radford University

How Much is in There? A Polygon Investigation

For Teachers 6th - 8th Standards
Try to find the triangles in various polygons. An investigation has learners develop a formula for the sum of the measures of the interior angles of a polygon. They use manipulatives to partition each polygon into triangles, then...
Assessment
Curated OER

Take-Home Midterm Exam #3, Part A

For Students 9th - Higher Ed
Let your physics learners take this electromagnetic radiation exam home to show what they know. You could also use it in class or assign it as a review. The content covers concepts pertaining to color, wavelength, frequency,...
Activity
101 Questions

Canadian Thanksgiving Tradition

For Teachers 6th - 10th Standards
It's all about the portion size! Given a photo of a pumpkin pie, learners work to determine the number of calories that are missing. Supplemental information provides the angle of the piece that is missing as well as the nutritional...
Assessment
CCSS Math Activities

Ferris Wheel

For Students 9th - 12th Standards
Wheel the resource right into your classroom. Young mathematicians use given dimensions of a Ferris wheel to write a height versus time function. They use their functions to answer a set of questions about the Ferris wheel.
Interactive
Weber State University

The Sun and the Seasons

For Students 9th - 12th
Why is there more daylight in June than in December if you live above the equator? How does the angle of sunlight shift throughout the year? Answer these questions and more with an interactive article about the sun, its path through the...
Lesson Plan
EngageNY

Modeling with Inverse Trigonometric Functions 2

For Teachers 11th - 12th Standards
Use inverse trigonometric functions to work with ramps, rabbits, and Talladega. The class models real-world situations with trigonometric functions and solves them using inverses in the 15th installment of a 16-part series. Pupils solve...
Interactive
CK-12 Foundation

Airplane

For Students 6th - 12th Standards
How does an airplane control its take off and descent? Scholars explore the forces acting on an airplane and control the angle of attack, wing profile, thrust, and airplane size. They learn about lift, drag, thrust, gravity, and the...
Interactive
CK-12 Foundation

Law of Cosines: Get on Base

For Students 10th - 12th
Baseball is all about math. Young baseball and mathematics enthusiasts determine the distance between players on a baseball field using the Law of Cosines. An interactive helps them find relevant distances and angles to use in their...
Interactive
CK-12 Foundation

Law of Cosines: Building a Zip Line

For Students 10th - 12th
Zip this resource into your lesson plans. Here is an interactive that shows how angles and lengths change based on conditions for a zip line. Scholars use the Law of Cosines to solve problems in this context.
Interactive
CK-12 Foundation

Sine, Cosine, and Tangent Functions: Lighthouse

For Students 9th - 12th Standards
How far is that boat from the lighthouse? Scholars create diagrams to represent a scenario given the angle of depreciation from a lighthouse to a boat. Learners apply the basic trigonometric functions to find various distances...
Interactive
CK-12 Foundation

Walk the Tightrope

For Students 9th - 12th Standards
Why do many tightrope walkers use a balancing pole? The simulation explores the benefits of balancing poles and the features that are most important. Pupils control the pole length, pole mass, pole stiffness, and the initial angle of...

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