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Interactive
CK-12 Foundation

When to Use the Distributive Property: Rational Expressions

For Students 6th - 8th Standards
Discover how the distributive property applies to division. As learners change numeric values within an expression, the simulation calculates its value. Challenge questions lead individuals to realize the power of distributing the...
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Interactive
CK-12 Foundation

Properties of Real Number Addition: The Secret of Subtraction

For Students 6th - 8th Standards
Learners sometimes struggle to understand the concept of adding and subtracting integers. Help them see the why behind their answers using the interactive number line. The values change as individuals adjust the number line for each new...
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Interactive
CK-12 Foundation

Simplify Variable Expressions Involving Integer Addition

For Students 7th - 9th Standards
Ensure your classes aren't drowning in expressions. An interactive simulation has scholars change the depth of a fish based on the coefficient of terms. As they add the terms together, the fish bobs up and down until reaching the answer.
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Interactive
CK-12 Foundation

Simplify Sums or Differences of Single Variable Expressions: Addition and Subtraction of Like Terms

For Students 7th - 9th Standards
Investigate the process of combining like terms using an interactive animation. Scholars tackle simplifying expressions by manipulating rectangles that represent the terms. They add and subtract terms to arrive at the result.
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Interactive
CK-12 Foundation

Simplify Products or Quotients of Single Variable Expressions: Circling C's

For Students 7th Standards
Model expression division using online manipulatives. Learners drag C's representing a term into equal groups. Guiding questions help them see their groups as the division of the term.
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Interactive
CK-12 Foundation

Simplify Products or Quotients of Single Variable Expressions: Quotients of Single Variable Expressions

For Students 7th - 9th Standards
Investigate division within an algebraic term using an inquiry-based lesson. Individuals adjust sliders and watch as the simplification of the term changes. Questions help guide them to important conclusions.
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Interactive
CK-12 Foundation

Linear Equations: Deep Dish Pizza

For Students 6th - 9th Standards
Explore the volume of solids with a real-life connection. Learners calculate the volume of a deep-dish slice of pizza to determine its price. They model the slice as a part of a cylinder and create a formula for calculating the cost.
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Interactive
CK-12 Foundation

Linear Equations: Temperature Transitions

For Students 8th - 10th Standards
Explore linear conversions using an engaging interactive lesson. Learners drag a point on a graph to discover the equivalent degrees in Fahrenheit and Celsius. Embedded questions highlight key features such as slope and the y-intercept.
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Interactive
CK-12 Foundation

Function Rules for Input-Output Tables: Soda Sugar Function Table

For Students 6th - 9th Standards
Examine the relationship between the input and output variables in a table of values. As learners build an input-output table using online manipulatives, they begin to identify patterns. They answer questions about these patterns and...
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Interactive
CK-12 Foundation

Function Rules for Input-Output Tables: Function Machine 2

For Students 6th - 9th Standards
Model function operations using a function machine. An interactive lesson has learners determine the patterns of a double function machine. They use the patterns to write functions and make connections between the inputs and outputs.
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Interactive
CK-12 Foundation

Function Rules for Input-Output Tables: Tickets at an Arcade

For Students 6th - 9th Standards
This is the ticket to learning about function rules! Using online manipulatives, scholars build a table of values and then answer questions about the related function. They examine the relationship between the input and output values and...
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Interactive
CK-12 Foundation

Function Rules for Input-Output Tables: Function Machine 1

For Students 6th - 9th Standards
Challenge your classes to find the pattern of a double function machine. After recording the outputs of both machines, learners identify the pattern and the corresponding function. Both patterns involve adding/subtracting a constant.
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Interactive
CK-12 Foundation

Function Rules for Input-Output Tables: Whats My Rule?

For Students 6th - 9th Standards
What's the rule that makes it true?  A virtual function machine generates output values as learners submit the input values. Their job is to analyze the inputs and outputs for a pattern and write a function rule.
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Interactive
CK-12 Foundation

Function Rules for Input-Output Tables: Function Machine!

For Students 6th - 9th Standards
Watch as a function machine converts an input to an output. Learners determine the work applied by the function machine to write a function rule. Questions accompany the function machine animation to guide individuals to conclusions.
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Interactive
CK-12 Foundation

Input-Output Tables for Function Rules

For Students 6th - 9th Standards
How does changing a graph affect the function? Learners watch the changing input-output table as they adjust the location of the line graph. Questions prompt them to complete a table of values and determine the function rule.
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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.
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Interactive
CK-12 Foundation

One-Step Equations and Inverse Operations: Additive Inverse

For Students 6th - 8th Standards
Reinforce properties while solving equations. Learners often ignore properties even as they try to apply them. A well-designed lesson emphasizes the role of additive inverses when solving equations.
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Interactive
CK-12 Foundation

Absolute Value: Picket Fence Painting

For Students 8th - 12th Standards
Painting a fence can be useful for more than just making your yard look good. A slider interactive has young mathematicians adjust the number of white fence panels. This activity helps in understanding how absolute value equations...
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Interactive
CK-12 Foundation

Single Variable Expressions: Neighborhood Block

For Students 6th - 9th Standards
The number of bicycle wheel turns is as good as any way to describe the distance from school to home. An interactive lets young mathematicians determine the number of city blocks a person bicycles. They use this information along with an...
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Interactive
CK-12 Foundation

Volume of Pyramids: Fluctuating Height

For Students 9th - 12th Standards
The height of a pyramid may change, but the usefulness of the interactive will not. Learners drag the apex of a pyramid to change its height. They then answer a set of challenge questions designed to investigate how changing the...
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Interactive
CK-12 Foundation

Order of Operations: Barrels of Candy

For Students 6th - 8th
We'd all love to have barrels of candy. An interactive shows the steps in evaluating a numerical expression that reflects the cost of buying several different barrels of candy.
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Interactive
CK-12 Foundation

Writing Basic Equations: Stars and Moons

For Students 6th - 8th
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.
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Interactive
CK-12 Foundation

Parallel and Skew Lines: Parallel or Not?

For Students 6th - 12th Standards
There's nothing askew about an informative resource. Pupils adjust one of two lines in an interactive to determine if the lines are parallel or skew. They answer a set of challenge questions about the lines.
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Interactive
CK-12 Foundation

Parallelogram Proofs: Quadrilaterals that are Parallelograms

For Students 6th - 12th
What conditions must be met for a quadrilateral to be a parallelogram? A slider interactive allows individuals to move the vertices of a quadrilateral. They answer questions that prove whether a given quadrilateral is a parallelogram.