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CK-12 Foundation
Trigonometric Functions and Angles of Rotation: The Triangle in the Circle
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...
CK-12 Foundation
Reference Angles and Angles in the Unit Circle: Exploring Reference Angles
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...
CK-12 Foundation
Addition and Subtraction of Polynomials: Sliders
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...
CK-12 Foundation
Translation of Vectors and Slope: Rearranging a Classroom
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...
CK-12 Foundation
Theoretical and Experimental Probability: Pizza Night!
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.
CK-12 Foundation
Sample Spaces and Events: Triple Spin!
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.
CK-12 Foundation
Fundamental Counting Principle with and without Repetition: Outfit Combinations
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...
CK-12 Foundation
Permutations and Combinations Compared: Ice Cream Bar
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.
CK-12 Foundation
Properties of Equality and Congruence: Justifying Algebraic Steps
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.
CK-12 Foundation
Writing Basic Equations: Stars and Moons
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.
CK-12 Foundation
The Real Numbers: Surjections, Injections and Bijections
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.
CK-12 Foundation
Regular and Irregular Polygons: Polygon States
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.
Theodore Roosevelt Association
Interpreting the Past; Assessing Its Impact on the Present
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...
Curated OER
Lesson: One of These Things is Not Like the Other
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...
CK-12 Foundation
Sine Graph and Cosine Graph: Changing Amplitude
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.
CK-12 Foundation
Conversion between Degrees and Radians: Clock Angles and Measures
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.
CK-12 Foundation
Permutations with Repetition: Permutations and Repetition
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...
CK-12 Foundation
Intercepts and the Cover-Up Method: The Hidden Zeros
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...
CK-12 Foundation
Counting Techniques: Permutations and Combinations
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...
CK-12 Foundation
Horizontal and Vertical Line Graphs
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.
CK-12 Foundation
Supplementary and Complementary Angle Pairs
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.
CK-12 Foundation
The Real Numbers: Union and Intersection of Sets
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.
CK-12 Foundation
Formulas for Problem Solving: Finding Distance, Rate, and Time
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...
CK-12 Foundation
Two-Dimensional Vectors: River Ferry and Current Vectors
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...