CK-12 Foundation
Conversion between Degrees and Radians: Arc and Radians Relationship
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...
CK-12 Foundation
Horizontal Translations or Phase Shifts: Horizontal Translations
Find out what causes a function to slide. Pupils move a function along the x-axis and see the resulting change in its equation. Scholars determine the effects that the translation has on the intercepts, domain, and range of the function.
CK-12 Foundation
Horizontal Translations or Phase Shifts: Cosine
If cosine is shifted, how is its equation affected? Learners manipulate the graph of cosine by moving the y-intercept to different locations on the coordinate plane. Pupils determine the new equation that models the shifts.
CK-12 Foundation
Changes in Period and Amplitude of the Sine Function
How does a change in amplitude or period affect the equation of a sine function? Scholars move sliders to change the frequency and period of the sine function. The interactive displays the resulting equation, and pupils determine the...
CK-12 Foundation
Fraction and Mixed Number Comparison: Pumpkin Pie
Compare fraction models to fractions on a number line in an interactive that uses pumpkin pies as the model. Pupils look at pumpkin pie models to determine their improper fraction value. They use their knowledge to answer five questions...
CK-12 Foundation
Whole Number Addition: Let's Go Fishing!
Practice adding whole numbers by combining the amount of fish Alice and Bob catch. As young mathematicians work through each problem, they are asked to find one more plus the amount of fish already caught. They can manipulate the...
CK-12 Foundation
Improper Fractions as Mixed Numbers: Sharing Scratch-n-Sniff Stickers
No, you can't actually smell these 13 scratch-n-sniff stickers. But you can group them into equal groups of four, with one sticker remaining. Using that information, learners create a mixed number based on the improper fraction, 13/4.
CK-12 Foundation
Mixed Numbers as Improper Fractions: Pineapple Slices
Practice adding and subtracting improper fractions with pineapple slices. Young mathematicians move whole pineapple slices to visualize the addition of the 2/5s that is on Sally's plate. Pupils also use a combination of mixed numbers and...
CK-12 Foundation
Rotations in Radians: Clock Conundrum
Pupils use an interactive clock to set specific times. They apply math to an everyday task as they determine the measure of the angle formed by the hands in degrees and in radians.
CK-12 Foundation
Length of a Chord: Distance Across a Ferris Wheel
An interactive presents two friends on a ferris wheel with the task of finding the distance between the them. Pupils create the chord between the two friends and calculate its lengths using trigonometric ratios.
CK-12 Foundation
Angular Velocity: 200 Meter Dash
Do curves slow runners down or help their speed? Pupils simulate a 200-meter dash to calculate the angular and linear velocity of a runner. They then determine whether the runner is faster around the curved section of the track or the...
CK-12 Foundation
Vertical Translations: Translating a Square Root Function
How does the equation of a function reflect translations? Scholars manipulate the starting point of the parent square root function before determining the new equations that result from the translations. Class members also determine the...
CK-12 Foundation
Horizontal Translations or Phase Shifts: Horizontal and Vertical Translations
It is all about the shift. Pupils translate the graph of a cubic function to different marked locations on the plane and determine the new equation that represents the shifts. The activity is designed to encourage individuals begin to...
CK-12 Foundation
Horizontal Translations or Phase Shifts: Tangent
Patterns can be shifty! Find the pattern when shifting the graph of tangent. Pupils move the graph of tangent to different locations on the coordinate plane. They observe what happens to the function and its vertical asymptotes before...
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...
CK-12 Foundation
Radical Equations: Geometric Visual of a Square Root
How can you draw a number? A set of questions takes learners through the reasoning for why a geometric construction can be drawn to represent the square root of a number. An interactive helps visualize the construction.
CK-12 Foundation
Distance Formula: Right Triangles
Go the distance with a far out resource. Individuals use an interactive to create right triangles on a coordinate plane to help find distance between two points. Challenge questions aid them in developing the distance formula.
CK-12 Foundation
Midpoint Formula
By selecting the resource, you're already halfway to understanding midpoints. Pupils use a slider to locate midpoints on the coordinate plane. They connect this conceptual understanding to the formula for the midpoint of a line segment.
CK-12 Foundation
Evaluation of Perfect Square Roots: Neighborhood Park
Walking in the park can be good for the body and for mathematics skills. Young scholars use an interactive app to investigate the relationship between squares and square roots using a square with adjustable length. The program also takes...
CK-12 Foundation
Joint and Combined Variation: Variable Sliders
Learners use a pair of sliders to investigate how changes in a variable affects other variables in joint variation. A set of five challenge questions tests understanding.
CK-12 Foundation
Solving Equations Using the Pythagorean Theorem: Cryptography
Don't keep this resource a secret. Individuals learn to use the Pythagorean Theorem to find Pythagorean triples. They also see how Pythagorean triples can be useful in the field of cryptography to encrypt secret messages.
CK-12 Foundation
Pythagorean Theorem and Its Converse
To be a right triangle, or not to be — that is the question. Scholars drag line segments in an Internet application to see if they form right triangles. Once they get the results of the activity, they connect them to the converse of the...
CK-12 Foundation
Completing the Square
An interactive aids in understanding of how to complete the square for a quadratic equation. A set of five challenge questions tests this understanding.
CK-12 Foundation
Simplification of Radical Expressions: Irrational Garden Plot
All is not simple in the garden of rationals and irrationals. Learners use a context of a garden to practice simplifying irrational numbers involving radicals. They also find areas of garden with irrational side lengths.
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