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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

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

Distributive Property: Catching Fireflies

For Students 6th Standards
Model the distributive property with jars of fireflies! An interactive animation has learners manipulate the number of jars of fireflies to determine the number caught. Accompanying questions ask scholars to consider the multiplication...
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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.
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Interactive
CK-12 Foundation

Resistor Simulation

For Students 9th - 12th Standards
Many scholars struggle to picture electrons traveling in a circuit but understand water going through a pipe. The simulation compares circuits to water pipes. It walks pupils through four levels of questions, allowing them to switch...
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Interactive
CK-12 Foundation

Visual Patterns: Building the Queen's Tower

For Students 6th - 8th
A resource fit for a queen. Scholars recognize and continue a pattern in towers people are building for a queen. They write and use an algebraic expression for the number of tiles in the towers.
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Interactive
CK-12 Foundation

Conjectures and Counterexamples: An Extra Slice!

For Students 9th - 12th Standards
Class members will eat up an enticing interactive that lets users change the location of cuts made into a pizza to adjust the number of created slices. They create a counterexample for a conjecture on the number of slices.
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Interactive
CK-12 Foundation

Converse, Inverse, and Contrapositive

For Students 7th - 10th
Logically speaking, here is a great resource. Young mathematicians apply an interactive to consider the converse, inverse and contrapositive statements. Eight challenge questions assess understanding of the material.
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Interactive
CK-12 Foundation

Properties of Equality and Congruence: Justifying Algebraic Steps

For Students 8th - 10th
No need to justify using this resource. Learners drag justifications for each step of solving an equation in an interactive. To see if they are correct, all they need to do is use a slider and the correct answers appear.
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Interactive
CK-12 Foundation

Properties of Congruence: Congruent Figures

For Students 9th - 11th Standards
No two resources are exactly the same, but polygons can be. Scholars match congruent figures by dragging them together in an interactive. They answer some challenge questions that justify their matches.
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Interactive
CK-12 Foundation

Properties of Congruence: Polygon Party

For Students 9th - 11th Standards
Don't let congruent figures drag you down. Young mathematicians use an interactive to drag figures onto one another to determine if the figures are congruent.
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Interactive
CK-12 Foundation

Intersecting and Parallel Lines

For Students 6th - 8th Standards
Sometimes line segments just refuse to meet. Young mathematicians connect houses on an interactive map using line segments. They must then determine whether these line segment pairs are intersecting or parallel.
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Interactive
CK-12 Foundation

Domain and Range of a Function: Making Money Math

For Students 8th Standards
Graphs are useful for many things, including seeing how much money you can make. Individuals create a graph of earnings from a job based on the number of hours. They determine the domain and range of the graph and answer challenge...
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Interactive
CK-12 Foundation

Satellites, Shuttles, and Space Stations: Satellites in Orbit

For Students 6th - 8th
Blast off! How do satellites, space shuttles, and space stations escape Earth's gravity and achieve orbit? Young astronauts study rocket science (literally) with an interactive lesson. They discover the four main uses for satellites, how...
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Interactive
CK-12 Foundation

Functions that Describe Situations: Manny's Mang-o-gurt

For Students 6th - 8th Standards
How much does it cost to add more mangos? An interactive allows users to see how the price of frozen yogurt changes based on the number of scoops and the number of slices of mango. Learners then answer a set of challenge questions about...
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Interactive
CK-12 Foundation

Systems of Linear Inequalities: Baking Cookies

For Students 8th
Cook up a good resource for systems of linear inequalities. Using an interactive, individuals graph a system of linear inequalities to represent constraints on the number of cookies a person must bake. A set of challenge questions...
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Interactive
CK-12 Foundation

Absolute Value Inequalities: The Nuts and Bolts of Allowable Error

For Students 8th
Explore the nuts and bolts of absolute value inequalities using nuts and bolts. Pupils use an interactive to see how the minimum and maximum radii of a nut-and-bolt combination change based on the target radius and the allowable error....
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Interactive
CK-12 Foundation

Compound Inequalities: Babysitting

For Students 6th Standards
Keep this resource close by. Given conditions on how close by a child must be to a babysitter, scholars use an interactive to position a picture of the child in relation to the babysitter. Compound inequalities help represent the condition.
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Interactive
CK-12 Foundation

Inequality Expressions: Inequality Graph

For Students 6th - 8th Standards
Don't let inequalities be a drag. As young mathematicians drag the endpoint of the graph of an inequality in an interactive, the algebraic form of the inequality changes. This helps them see how the graph connects to the inequality.
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Interactive
CK-12 Foundation

Points in the Coordinate Plane

For Students 6th - 8th Standards
Map your way to success in understanding coordinate points. Individuals drag town landmarks to their appropriate locations on a coordinate plane representing a map. They answer a set of challenge questions to see if their answers are...
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Interactive
CK-12 Foundation

Algebraic Functions: Vertical Line Test

For Students 8th
To be (a function) or not to be (a function). An easy-to-use interactive has pupils drag a vertical line onto several graphs to determine if they represent functions. Some challenge questions assess understanding of this idea.
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Interactive
CK-12 Foundation

Function Rules based on Graphs: Making Money in the Hat Business

For Students 8th - 9th Standards
Hats off to those learning about the graphs of functions. Individuals use an interactive to plot points representing profits for a hat business. They identify a quadratic equation to represent this function and answer challenge questions...
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Interactive
CK-12 Foundation

Graphs of Functions Based on Rules: Plotting Profits

For Students 8th
Profit from this interactive on graphing and interpreting functions. An interactive allows learners to plot a square root function representing a company's profits. They answer some challenge questions that require interpreting this...
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Interactive
CK-12 Foundation

Capacitor Simulation

For Students 9th - 12th Standards
The camera flash works based on a simple circuit, but why does it require a capacitor? Scholars work through two levels of simulations related to circuits and capacitors. The pupils first use a simple circuit with a battery, resistor,...