CK-12 Foundation
Whole Number Division: Pancakes
Given 13 pancakes and five plates, learners are asked to distribute the pancakes evenly among the plates. Is it possible? Will there be any remainders? These are the questions pupils are asked to answer after manipulating an interactive...
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
Whole Number Subtraction: Penguins Go for a Swim
As penguins jump off of an iceberg, young mathematicians count the remaining penguins in order to discover the whole number subtraction answer. As they work through the questions, they can manipulate the red dot to add and subtract more...
CK-12 Foundation
Oblique Asymptotes: Rational Functions and Asymptotes
Examine the connection between rational functions and their graphs. Individuals use an online manipulative to sort equations with horizontal and oblique asymptotes. They focus on the degree of the numerator and denominator.
CK-12 Foundation
Horizontal and Vertical Asymptotes: Rational Functions
Play with the graph of a rational function to discover the asymptote patterns. Young scholars use the interactive lesson to discover the relationship between the asymptotes and the function. As they manipulate the function, the graph...
CK-12 Foundation
Zero, Negative, and Fractional Exponents: Patterns with Powers
Build a foundational understanding of exponent patterns. Young scholars manipulate the bases of exponent expressions. They discover the meaning of negative exponents through their exploration.
CK-12 Foundation
Addition and Subtraction of Rational Expressions: Strawberry Sherbet Punch
Explore the connection between fractions and rational expressions. Young scholars manipulate fractions with unlike denominators to find a total. Challenge questions allow them to check their work to ensure they are correct.
CK-12 Foundation
Using Quadratic Equations to Solve Problems: Construct a Soccer Field
Build a soccer field through a little mathematical analysis. Individuals manipulate the dimensions of a soccer field as they drag points to new positions. The simulation shows the corresponding intercepts and area. As pupils explore the...
CK-12 Foundation
Negative Exponents
Watch the exponent expression do the negative exponent dance! An interactive lesson uses an animation to show how negative exponents become positive. Learners manipulate the expression and then respond to conceptual questions.
CK-12 Foundation
Zero Product Principle: Mysterious Parabolas
Be a hero, not a zero! Help your classes understand how to solve quadratic equations with the zero product property using an animated simulation. Using the controls, scholars manipulate the zeros and watch as the function and its factors...
CK-12 Foundation
Factor Polynomials Using Special Products: Difference of Two Squares
Factoring patterns are not magic! Show your classes how to model the difference of two squares' factors using an area model. Learners manipulate the width and length of two squares to represent the polynomial a^2-b^2. They use the model...
CK-12 Foundation
Six Trigonometric Functions and Radians: Degrees to Radians and Back Again!
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...
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
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
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
Systems of Linear Equations in Three Variables: Intersecting Planes - No Solution
How many different ways can three planes intersect? The interactive provides three movable planes. Pupils manipulate the planes to determine the number of solutions possible based upon their intersections.
CK-12 Foundation
Applications of Linear Systems: Alcohol Solution in Nursing
Solve alcohol systems to find the right solution. The interactive allows pupils to manipulate the amount of a solution and displays the total amount in a mixture. Individuals determine the amount of each solution needed to make 15 liters...
CK-12 Foundation
Mutually Inclusive Events: Flower Beds at the Community Garden
What color does your garden grow? Learners manipulate the number of flowers of two colors in two garden plots. They determine the probabilities of choosing a particular color of a flower in a given plot. Scholars find the relationship of...
CK-12 Foundation
Midpoint and Segment Bisectors: Midpoint Map
Discover how to find a midpoint with a conceptual exploration. Scholars manipulate a point to determine the location of a midpoint on a straight line distance between two locations. Later questions extend to determine the location of...
CK-12 Foundation
Angles: The Angle of Discovery
Practice important angle vocabulary using an interactive lesson. As learners manipulate vertical angles, they watch the supplementary and congruent angles adjust. Questions pertaining to vocabulary and measurements follow their exploration.
CK-12 Foundation
Basic Geometric Definitions: Alternate Dimensions
How do you calculate problems in alternate dimensions? The interactive allows learners to manipulate points in 2-D as scholars explore the relationship the points must have to create a one-dimensional object. Pupils identify objects that...
CK-12 Foundation
Angle Measurement: Adding Angles
Build angles from angles. Using the Angle Addition Postulate, learners find the measures of unknown angles. The interactive simulation shows a visual representation of the postulate and allows individuals to manipulate the angles and...
CK-12 Foundation
Bisectors of Line Segments and Angles: Cut a Line
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...
CK-12 Foundation
Rational Numbers in Applications: Pizza with Friends
Explore the application of fractions in a real-life situation. Learners manipulate an interactive simulation to model a given scenario. They find fractions of fractions and explain the importance of the part-to-whole comparison.