Interactive
CK-12 Foundation

Comparison of Unit Rates: Drive Away

For Students 6th - 8th Standards
Five questions make up an interactive that challenges mathematicians to compare unit rates. Word problems question scholars about two friends going on a road trip. Scholars manipulate two cars on a coordinate plane to help solve word...
Interactive
Annenberg Foundation

Geometry 3D Shapes: Test Your Skills

For Students 6th - 10th Standards
Time to find out what they've learned! The final lesson of a five-part series has learners complete a 39-question multiple choice review. They use what they've learned in the previous lessons to complete questions that include concepts...
Interactive
CK-12 Foundation

Unit Circle: Medieval Castle Defense

For Students 10th - 12th Standards
Who needs a plan — 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...
Interactive
CK-12 Foundation

Order Real Numbers: Pie Baking Contest

For Students 6th - 8th Standards
Time is on your side. Scholars plot three points on number lines with different time units to represent the time it takes three people to bake pies. They determine the fastest baker and the difference in times between the bakers.
Interactive
Annenberg Foundation

Geometry 3D Shapes: Surface Area and Volume

For Students 6th - 10th Standards
Whether you wrap it or fill it, you're using geometric concepts. Classmates use an interactive approach to learn how to find volume and surface area of cylinders and prisms in the second lesson in a five-part series. The online lesson...
Interactive
CK-12 Foundation

Radian Measure: Unit Circle Conversions

For Students 10th - 12th
Individuals investigate the relationship between radian and angle measurements by using an interactive to find the angle measurement for given radian measures. Users answer questions to convert between the two measurements.
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...
Interactive
CK-12 Foundation

Trigonometric Functions and Angles of Rotation: The Triangle in the Circle

For Students 10th - 12th Standards
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...
Interactive
CK-12 Foundation

Conversion between Degrees and Radians: Arc and Radians Relationship

For Students 10th - 12th Standards
How are arc lengths and radians related? An interactive resource demonstrates the relationship as pupils create arc lengths in a unit circle and compare them to the angle measurements. Questions ask individuals to build upon this...
Interactive
CK-12 Foundation

DeMoivre's Theorem and nth Roots: The nth Roots of Unity

For Students 11th - Higher Ed
The nth roots of unity all have a magnitude of one. Scholars use the unit circle and DeMoivre's Theorem to find the complex roots of one and discover that the complex numbers all lie on the unit circle and are equally spaced around it...
Interactive
CK-12 Foundation

Reciprocal Identities

For Students 10th - 12th Standards
Get a better understanding of the trigonometric functions by taking a look at the flip side. Pupils create angles within a unit circle and compare the values of the standard trigonometric functions to their reciprocal functions. The...
Interactive
CK-12 Foundation

Six Trigonometric Functions and Radians: Degrees to Radians and Back Again!

For Students 10th - 12th Standards
How do degrees relate to radians? The interactive allows pupils to manipulate the size of an angle in a unit circle to help see that relationship. Users determine the radian measure for given degree measures of angles, realizing the...
Interactive
CK-12 Foundation

Applications Using Linear Models: Scuba Diving

For Students 7th - 10th Standards
Dive into this resource on rates of change and linear models. Pupils use two sliders in an interactive to adjust water temperature and depth. They use a given linear equation to calculate the rate of change in water temperature per unit...
Interactive
CK-12 Foundation

Domain, Range, and Signs of Trigonometric Functions: Sine and Cosine

For Students 10th - 12th Standards
Is there a relationship between the sign of sine and cosine and the angle on the unit circle? Scholars use an interactive to see the value of sine and cosine within different quadrants. they then use the information to determine the...
Interactive
Curated OER

Geometry Word Problems-Perimeter of Rectangles

For Students 10th
In this geometry learning exercise, 10th graders use algebra to solve geometry word problems involving the perimeter of a rectangle. The one page interactive learning exercise contains eight questions. Answers and hints are included. 
Interactive
Curated OER

Spark Notes Review of Geometry

For Students 9th - 11th
In this geometry activity, students are given the side lengths of polygons and asked to calculate the perimeter, area and shaded region. There are 30 questions with an answer key.
Interactive
CK-12 Foundation

Unit Vectors and Components: Bow and Arrow

For Students 9th - Higher Ed Standards
Aim for a better understanding of vector components. Scholars adjust the angle of release on a bow and determine the horizontal and vertical components of the velocity vector. The pupils finish by determining how the angle affects...
Interactive
Curated OER

Geometry Worksheets-volume of Sphere

For Students 10th
In this geometry worksheet, 10th graders determine the volume of a sphere, given the diameter or the radius. The one page interactive worksheet contains eight questions. Hints, clues, and answers are provided.
Interactive
Curated OER

Geometry Worksheets-Volume of Prisms and Pyramids

For Students 10th
In this geometry worksheet, 10th graders determine the volume of rectangular and triangular prisms and pyramids. The one page interactive worksheet contains eleven questions. Answers and hints are included. 
Interactive
CK-12 Foundation

Tangent Graphs: Slope and Angle

For Students 10th - 12th Standards
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...
Interactive
CK-12 Foundation

Whole Number Exponents: Teddy Bear Box

For Students 3rd - 6th Standards
Five questions—multiple-choice, fill in the blank, and discussion—make up an interactive that challenges scholars to mail a teddy bear using the smallest box possible without squishing it. A box with movable sides allows mathematicians...
Interactive
CK-12 Foundation

Direct Variation: Value of a Painting

For Students 9th - 12th Standards
Help your pupils find a pattern of direct variation. Young scholars use input-output pairs to find a constant of variation and then write the equation. As they build their equations, the interactive lesson provides feedback.
Interactive
CK-12 Foundation

Geometric Probability: Dartboard

For Students 6th - 12th Standards
Get your class on target with probability using an exciting resource. The interactive presents three square dartboards with different target areas, which are combinations of square units. Pupils determine the probabilities of randomly...
Interactive
CK-12 Foundation

Circles Centered at the Origin: The Map of the Beta Solar System

For Students 11th - Higher Ed Standards
Calculate galactic orbits in a far-out resource. Pupils drag a point on a circle to graph the orbit of a fictional planet. Using the equation, they find points through which the orbit passes. To finish the simulation, users determine the...

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