Interactive
CK-12 Foundation

Mental Math to Multiply by Whole Number Powers of Ten: The Rule for Tens

For Students 6th - 8th Standards
Eight questions challenge scholars to use mental math while multiplying whole numbers by powers of 10. A tool with bouncing decimals demonstrates how and where the decimal moves. Question types include several multiple-choice, a...
Interactive
CK-12 Foundation

Mental Math to Divide by Whole Number Powers of Ten: Bouncing Decimal Point

For Students 6th - 8th Standards
Five questions challenge mathematicians to divide whole numbers by powers of 10. A tool highlights how a bouncing decimal moves through the divisor. Question types include multiple choice and fill in the blank. A discussion question...
Interactive
CK-12 Foundation

Expression Evaluation with Basic Operations: Math Detective

For Students 6th Standards
Placement of parentheses is paramount. Scholars adjust the location of parentheses in a numerical expression so its value matches a given value. A slider interactive helps with this task.
Interactive
CK-12 Foundation

Fraction Rounding to the Nearest Half: Beaker Math

For Students 6th Standards
Rounding fractions is the focus of a six-question interactive designed to boost concept proficiency. A measured beaker's water level increases and decreases as mathematicians move the tool to represent specific fractions. Questions...
Interactive
CK-12 Foundation

Radical Equations: Geometric Visual of a Square Root

For Students 8th - 11th Standards
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.
Interactive
CK-12 Foundation

Complementary Angles: Corner Kick

For Students 7th - 10th Standards
Soccer is all about angles. Young mathematicians use an interactive to correctly position the path of a soccer ball so that it reaches the goal. They consider complementary angles when answering a set of challenge questions.
Interactive
CK-12 Foundation

One-Sided Limit Type: Limit Notation and Graphs

For Students 11th - Higher Ed
A one-sided limit is no less important than a two-sided limit. Young mathematicians use an interactive to match limit notation to graphs. The exercise requires interpreting how one-sided limits connect to features of graphs.
Interactive
CK-12 Foundation

Infinite Limit Type: Asymptotes and End Behavior Question

For Students 11th - Higher Ed Standards
There are an infinite number of reasons to use the resource. Scholars drag vertical and horizontal lines to the graph of a rational function to identify all asymptotes. They investigate the connection between asymptotes and limits to...
Interactive
CK-12 Foundation

Sums of Integers with Different Signs: Board Game

For Students 5th - 7th Standards
Five questions challenge scholars to show what they know about integers. Using an interactive board game, learners move pieces to discover where a player landed, then answer problems involving both positive and negative integers. 
Interactive
CK-12 Foundation

Decimal Rounding Given Place Value

For Students 6th Standards
Tests mathematicians' knowledge of decimals, place value, and rounding with a five-question interactive. A tool with movable parts assists scholars in answering questions—multiple-choice and true or false.  A discussion question...
Interactive
CK-12 Foundation

Differences of Fractions with Different Denominators

For Students 6th - 8th Standards
Subtracting fractions with unlike denominators is the focus of an interactive designed to boost mathematicians' problem-solving skills. Five questions challenge participants to answer multiple-choice and true or false questions with help...
Interactive
CK-12 Foundation

Comparison of Unit Rates: Drive Away

For Students 6th - 8th Standards
Five questions make up an interactive that challenges mathematicians to compare unit rates. Word problems question scholars about two friends going on a road trip. Scholars manipulate two cars on a coordinate plane to help solve word...
Interactive
CK-12 Foundation

Oblique Asymptotes: Rational Functions and Asymptotes

For Students 9th - 12th Standards
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.
Interactive
CK-12 Foundation

Multiplication of Rational Expressions

For Students 9th - 11th Standards
There's nothing irrational about this lesson. Explore the process of multiplying rational expressions through discovery. A well-designed lesson has learners factor and multiply rational expressions by dragging factors to the correct...
Interactive
CK-12 Foundation

Zero Product Principle: Mysterious Parabolas

For Students 8th - 10th Standards
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...
Interactive
CK-12 Foundation

Sum and Difference of Cubes: Stacking Blocks

For Students 9th - 11th Standards
Investigate polynomial factoring patterns by finding a connection to volume. As learners build a three-dimensional solid from smaller solids, they convert the visual model to a mathematical expression. Their models represent the sum of...
Interactive
CK-12 Foundation

Midpoint and Segment Bisectors: Finding Treasure with Geometry

For Students 7th - 9th Standards
Send your class on the hunt for a buried treasure and apply geometry skills along the way. An engaging lesson uses direction and midpoint locations to find the location of a treasure. Videos provide background information to complete the...
Interactive
CK-12 Foundation

Distance Between Two Points: Taxicab Distance

For Students 8th - 10th Standards
Apply geometry to find the distance as the crow flies. An engaging lesson compares the distance a car must drive to the straight line distance between two locations. Scholars must manipulate a simulation, note the change in distances,...
Interactive
CK-12 Foundation

Sampling Distribution of a Sample Mean: The Mean of the Average Ages

For Students 9th - 12th
What does it mean to take the mean of the mean? An easy-to-use interactive has users adjust the mean ages of different samples. Finding the average of these sample means gives an estimate of the population mean.
Interactive
CK-12 Foundation

Repeating Decimals: Does 1 equal 0.999... ?

For Students 6th - 8th Standards
Six questions make up a challenging interactive that tests scholars' knowledge of repeating decimals. Mathematicians answer true or false and multiple-choice questions with help from a tool that highlights decimal movement in an...
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

Expression Evaluation with Different Denominators: Adding Mixed Fractions of Water

For Students 6th - 8th Standards
An interactive challenges mathematicians to add mixed fractions with unlike denominators. Five questions—fill-in-the-blank and multiple-choice—build from one to the next leading the way to an open discussion about denominators and...