Interactive
CK-12 Foundation

Visual Patterns: Balloons

For Students 6th - 8th
Balloons aren't just for little kids; they can teach important math concepts, too. Individuals use an interactive to continue a color pattern with balloons. They continue the pattern and write a mathematical expression to represent the...
Interactive
CK-12 Foundation

Rational Numbers in Applications: Pizza with Friends

For Students 6th - 7th Standards
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.
Interactive
CK-12 Foundation

Input-Output Tables for Function Rules

For Students 6th - 9th Standards
Make the abstract a bit more concrete with an interactive that asks learners to slide an input value through a function to determine the output. Changing the slope and y-intercept allows them to see the how the output values change.
Interactive
CK-12 Foundation

Inequalities that Describe Patterns: Freezing Cold Comparison

For Students 6th Standards
Don't freeze out the interactive on inequalities from your lesson plans. Young mathematicians use an interactive thermometer and number line to compare freezing temperatures. Inequalities help express these comparisons.
Interactive
CK-12 Foundation

Algebra Expressions with Exponents: Fish Tank Cube

For Students 6th - 8th Standards
There's nothing fishy about this resource. A slider interactive lets users adjust the side length of a fish tank cube. It aids in seeing changes in the volume and how to express the volume using an algebraic expression.
Interactive
CK-12 Foundation

The Real Numbers: Size of Infinite Sets

For Students 8th - 10th
The learning opportunities with the resource on infinity are finite, but it's still good to use. Individuals investigate the size of the set of integers and the set of even integers. Conclusion: the two sets have the same size.
Interactive
CK-12 Foundation

Stratified Random Sampling: An Extracurricular Study

For Students 9th - 12th Standards
Learning isn't a random process. A well-designed interactive lesson helps classes make key conclusions about stratified random sampling. They calculate group percentages and use those percentages to decide on sampling totals.
Interactive
CK-12 Foundation

Find Imaginary Solutions: Imaginary Zeros

For Students 10th - 12th Standards
The resource is the real deal. Individuals investigate the imaginary zeros of f(x) = x^2 + 1. They accomplish this task by using an interactive that shows input values x = a + bi and output values x^2 + 1 on a complex plane.
Interactive
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CK-12 Foundation

Mode: Mucho Money

For Students 6th - 8th Standards
Generate stacks of money. Given bills of different denominations, pupils stack them based on their values. The learners figure out which value is the mode of the data and determine whether the data is unimodal, bimodal, or multimodal.
Interactive
CK-12 Foundation

Antiderivative: Piecing it Together

For Students 11th - Higher Ed
Build a function backwards. Given a graph of the derivative of a function, pupils piece together a graph of the original function, the antiderivative. Learners use their graphs and the graphs of the derivatives to answer questions about...
Interactive
CK-12 Foundation

Continuity at a Point, Continuity Test, Types of Discontinuity: Properties of Continuous Functions

For Students 11th - Higher Ed
Take a closer look at continuous functions within given intervals. Using the parent cubic function, learners explore properties of continuous functions on intervals. Pupils interpret the Intermediate Value Theorem and the Extreme Value...
Interactive
CK-12 Foundation

Absolute Versus Local Extrema

For Students 11th - Higher Ed
Get the class to take an extreme look at functions. The interactive presents a function on a closed interval with a movable tangent line. Using the given function, pupils determine the extrema, critical points, and points of...
Interactive
CK-12 Foundation

Intermediate Value Theorem, Existence of Solutions: Function Exploration

For Students 11th - Higher Ed
Does the value exist? The interactive allows pupils to visualize the Intermediate Value Theorem. Using the visualization, individuals respond to questions using specific values and general values. The class comes to the conclusion what...
Interactive
CK-12 Foundation

Inverse Functions: Definition of Inverse Functions

For Students 11th - Higher Ed Standards
Is the inverse of a function also a function? Pupils manipulate the graph of a function to view its inverse to answer this question. Using a horizontal and vertical line, class members determine whether the initial function is...
Interactive
CK-12 Foundation

Vector Projection: Hitting a Baseball

For Students 11th - Higher Ed
Hit a home run with a resource that is all fun and games. Learners apply an interactive to determine the horizontal component of the distance a baseball travels. They must consider vector projections for this task.
Interactive
CK-12 Foundation

Logarithmic Differentiation: Graphing the Derivative of a Logarithm

For Students 11th - Higher Ed
Log the values of the derivative of a logarithm. The interactive plots the derivative of the natural logarithm. Learners first determine the derivative of natural logarithm and the general logarithm. Using the formulas for the...
Interactive
CK-12 Foundation

Circles Centered at the Origin: Dog

For Students 11th - Higher Ed Standards
How many bones can a dog on a leash reach? Class members move a dog on the end of its leash and determine whether it can reach bones located at specific points. The learners see whether the bone lies on the circle or outside of the...
Interactive
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Soft Schools

Civil Rights

For Students 4th - 8th Standards
Informational text about the Civil Rights Movement challenges young historians to prove their reading comprehension skills with six multiple choice questions. After answers are submitted a new screen displays a score,...
Interactive
CK-12 Foundation

Integers that Represent Different Situations: Football Field

For Students 6th - 8th Standards
A football-themed interactive focuses on integers. Seven questions challenge scholars to show what they know by way of short answers, multiple-choice, and true or false. An open-ended question followed by a discussion concludes the...
Interactive
CK-12 Foundation

Decimals as Mixed Numbers

For Students 6th - 8th Standards
Five questions—multiple-choice, true or false, and a discussion—make up an interactive that focuses on decimals as mixed numbers. Moveable blocks assist scholars in finding solutions. 
Interactive
CK-12 Foundation

Properties of Rational Numbers: Lollipop Trees

For Students 6th - 8th Standards
A six-question interactive takes mathematicians to Lollipop Land where they manipulate lollipop trees to make equivalent ratios.  Question types include multiple-choice, true or false, and a discussion. 
Interactive
CK-12 Foundation

Decimals as Fractions

For Students 6th Standards
Converting decimals to fractions is the focus of a five-question interactive. A color-coded tool assists mathematicians in discovering solutions. Multiple-choice questions make up the majority of the problems and a discussion question...
Interactive
CK-12 Foundation

Multiplication of Whole Numbers by Fractions: Multiplication of Fractions by Whole Numbers

For Students 6th - 8th Standards
An interactive challenges mathematicians to multiply fractions by whole numbers. A model provides a clear visual aid in preparing whole numbers to be multiplied. Six questions include multiple-choice, fill in the blank, short answer, and...
Interactive
CK-12 Foundation

Subtraction of Fractions: Fragmented Fractions

For Students 5th - 8th Standards
An interactive challenges scholars to subtract mixed numbers. Pupils answer questions—multiple-choice, fill in the blank, and true or false—with help from virtual fraction strips. The practice closes with a discussion. 

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