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

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

Addition and Subtraction of Polynomials: Sliders

For Students 8th - 10th Standards
Slide the coefficients to determine sums of polynomials. The interactive contains sliders to change the coefficients of an addend in a polynomial addition problem. Pupils determine the coefficients of the addend to arrive at particular...
Interactive
CK-12 Foundation

Translation of Vectors and Slope: Rearranging a Classroom

For Students 11th - Higher Ed Standards
Find out if vectors are equal in the classroom. Pupils use the interactive to create vectors showing the movements boys perform in rearranging classroom furniture. The scholars determine which boy moved furniture the farthest, or if they...
Interactive
CK-12 Foundation

Theoretical and Experimental Probability: Pizza Night!

For Students 6th - 8th
Take a bite out of an enticing resource. Scholars use an interactive to study dependent events. They see how the number of favorable outcomes and total number of outcomes changes as individuals "eat" pieces of pizza.
Interactive
CK-12 Foundation

Sample Spaces and Events: Triple Spin!

For Students 6th - 10th Standards
Scholars determine the number of possible outcomes when a spinner is spun three times. They start with the case of one spin and build up to the case of three spins.
Interactive
CK-12 Foundation

Fundamental Counting Principle with and without Repetition: Outfit Combinations

For Students 6th - 8th Standards
But I have nothing to wear! Using an interactive, individuals create all possible outfits from three shirts, one belt, and two pairs of pants. Answering a set of challenge questions helps them see what they have learned from the...
Interactive
CK-12 Foundation

Permutations and Combinations Compared: Ice Cream Bar

For Students 9th - 12th Standards
Learning math from an ice cream shop—what a tasty treat! Individuals use an interactive to list all possibilities for a double-scoop ice cream. Along the way, they learn to distinguish between permutations and computations.
Interactive
CK-12 Foundation

Properties of Equality and Congruence: Justifying Algebraic Steps

For Students 8th - 10th
No need to justify using this resource. Learners drag justifications for each step of solving an equation in an interactive. To see if they are correct, all they need to do is use a slider and the correct answers appear.
Interactive
CK-12 Foundation

Writing Basic Equations: Stars and Moons

For Students 6th - 8th
You'll be over the moon about finding a useful resource for describing patterns. Aspiring mathematicians drag moon and star shapes to complete a shape pattern. Additionally, they must write an algebraic equation to describe the pattern.
Interactive
CK-12 Foundation

The Real Numbers: Surjections, Injections and Bijections

For Students 8th - 12th
Inject a great interactive into your lesson plans. Scholars learn about injections, surjections, and bijections of sets. They use an interactive that shows an example for each of these relationships between sets.
Interactive
CK-12 Foundation

Regular and Irregular Polygons: Polygon States

For Students 9th - 12th Standards
Colorado would probably object if Wyoming enlarged its borders. Scholars use an interactive map to change the borders of U.S. states to see how angles change. They then answer questions about regular and irregular polygons.
Lesson Plan
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Theodore Roosevelt Association

Interpreting the Past; Assessing Its Impact on the Present

For Teachers 5th - 12th Standards
Even though the presidency of Theodore Roosevelt ended over 100 years ago, we can still learn something from his stances and policies that is applicable today. Class members first look over a list of prevalent political issues from the...
Lesson Plan
Curated OER

Lesson: One of These Things is Not Like the Other

For Teachers 1st - 6th
Kids kick of the lesson by comparing and contrasting the focus painting to other similar paintings of Native American women. They then compare their own personal portraits (photographs) in a similar way. They use the differences in each...
Interactive
CK-12 Foundation

Sine Graph and Cosine Graph: Changing Amplitude

For Students 10th - 12th Standards
Scholars manipulate the amplitude of the graphs of sine and cosine, notice how the change in amplitude is reflected in their graphs, and answer several questions about the concept they noticed.
Interactive
CK-12 Foundation

Conversion between Degrees and Radians: Clock Angles and Measures

For Students 10th - 12th Standards
It's 3:30, what radian is it? Pupils create clock angles on a clock and determine the radian measure to the minute hand. They then use a conversion factor to convert from one measurement to another.
Interactive
CK-12 Foundation

Permutations with Repetition: Permutations and Repetition

For Students 9th - 12th Standards
What's in a name? An interactive asks users to find the number of ways to arrange the letters in the word DAD and MOM. Pupils use the interactive to arrange the letters but restrict the permutations to be unique for MOM and answer...
Interactive
CK-12 Foundation

Intercepts and the Cover-Up Method: The Hidden Zeros

For Students 7th - 10th Standards
There's no need to cover up this resource — it's good one! Pupils use a slider interactive that covers up parts of the standard form of a linear equation and simultaneously reveals one of the intercepts of the graph. This lets them see...
Interactive
CK-12 Foundation

Counting Techniques: Permutations and Combinations

For Students 11th - 12th
Comparing and contrasting is an important skill, even in mathematics. A drag-and-drop interactive has users classify situations as suitable for permutations or combinations. A set of challenge questions tests whether they know the...
Interactive
CK-12 Foundation

Horizontal and Vertical Line Graphs

For Students 8th - 10th Standards
See how vertical and horizontal lines have special equations. Scholars drag vertical and horizontal lines onto a coordinate plane to graph given equations. They then answer a set of challenge questions on the topic.  
Interactive
CK-12 Foundation

Supplementary and Complementary Angle Pairs

For Students 7th - 10th Standards
Complement and supplement your knowledge of angles. Young mathematicians study supplementary and complementary angle pairs using an interactive. A set of challenge questions solidifies this understanding.
Interactive
CK-12 Foundation

The Real Numbers: Union and Intersection of Sets

For Students 8th - 9th
Not everyone can get what they want in a smoothie. Learners determine the fruit they can place in a smoothie given constraints and preferences. The union and intersection of sets must be taken into consideration.
Interactive
CK-12 Foundation

Formulas for Problem Solving: Finding Distance, Rate, and Time

For Students 8th Standards
Go the distance in learning about distance, rate, and time. Young mathematicians use an interactive to investigate the relationship between distance, rate, and time. A set of challenge questions assesses understanding of these...
Interactive
CK-12 Foundation

Two-Dimensional Vectors: River Ferry and Current Vectors

For Students 11th - Higher Ed Standards
Fight against the current. Pupils explore the resulting path when they are crossing a river while being pushed downstream by the current. Using vector notation, learners express the speed and direction of a ferry. They finish by...

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