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Interactive
CK-12 Foundation

Comparing Equation of Parallel and Perpendicular Lines: Parallel and Perpendicular Lines

For Students 9th - 11th Standards
It seems perpendicular lines have slopes which follow a specific rule. Scholars use an interactive to investigate this rule by moving a pair of lines on a coordinate plane. They find that perpendicular lines have slopes that are opposite...
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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

One-Step Equations Transformed by Multiplication/Division: Dividing Plums

For Students 6th Standards
Be sure to use this plum resource. Scholars apply an interactive to find the number of plums each friend receives after plum-picking. They see how the interactive relates to one-step equations.
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Interactive
CK-12 Foundation

Single Variable Division Equations: Paper Car Tires

For Students 7th Standards
Don't tire of solving equations, mix up your lesson! A virtual interactive has users drag paper tires to toy cars. Solving a one-step equation lets them find how many cars can be made from a given number of tires.
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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

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

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

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

Order Real Numbers: Pie Baking Contest

For Students 6th - 8th Standards
Time is on your side. Scholars plot three points on number lines with different time units to represent the time it takes three people to bake pies. They determine the fastest baker and the difference in times between the bakers.
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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.
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Interactive
CK-12 Foundation

Checking Solutions to Inequalities: Apples and Bananas Shopping Excursion

For Students 7th - 9th Standards
Go bananas over a fun interactive! Learners drag a point on a virtual graph of an inequality to see if it is a solution. This helps determine the possible numbers of apples and bananas a shopper can buy with a given amount of money.
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Interactive
CK-12 Foundation

The Real Numbers: Adding Electrons

For Students 6th - 8th
Get a charge out of a great resource! Scholars use an interactive to explore addition and subtraction of integers. They add or remove electrons in an atom model to consider its charge.
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Interactive
CK-12 Foundation

The Real Numbers: Surjections, Injections and Bijections

For Students 8th - 12th
Inject a great interactive into your lesson plans. Scholars learn about injections, surjections, and bijections of sets. They use an interactive that shows an example for each of these relationships between sets.
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Interactive
CK-12 Foundation

Understand and Create Stem-and-Leaf Plots: Event Survey

For Students 7th - 9th Standards
 A good lesson doesn't just grow on trees! Help your classes understand the concept of a stem-and-leaf plot using an interactive lesson. Learners first create a stem-and-leaf plot from a set of data by dragging the values to the plot....
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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.
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Interactive
CK-12 Foundation

Properties of a Normal Distribution: Uniform Distributions

For Students 9th - 12th Standards
There's nothing normal about an extraordinary resource. Scholars change the dimensions of a normal distribution using a slider interactive. Determining the area under the graph gives probabilities for different situations.
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Interactive
CK-12 Foundation

Evaluate Limits Using Graphs and Tables: Where Is That Limit?

For Students 11th - Higher Ed
Limits are made easy through graphs and tables. An easy-to-use interactive lets users change a function on a coordinate plane. They relate graphs and tables to the limit at a specific value.
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Interactive
CK-12 Foundation

Evaluate Limits Using Graphs and Tables: Evaluate the Limits

For Students 11th - Higher Ed
Discontinuities in the graph? No worries. Pupils investigate the limit of a function given graphically using an interactive. The graph has removable and jump discontinuities.
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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.
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Interactive
CK-12 Foundation

Least-Squares Regression

For Students 9th - 12th
Residual plots let you find the perfect line of best fit. As users adjust the points on a scatter plot and a possible line of best fit, the interactive automatically changes the residual plot. This change allows them to see connections...
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Interactive
CK-12 Foundation

Zeroes and Intercepts of Polynomials: Function Intercepts

For Students 9th - 12th Standards
There is zero reason not to use the resource. Given a graph with a polynomial function and a linear function, scholars move the line in an interactive. To wrap up the lesson, they note how zeros and intersection points change.
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Interactive
CK-12 Foundation

Restricted Domain and Range: Restricted Circle Radius and Area

For Students 9th - 12th Standards
There's no restriction to how much your class can learn about domain and range. Users of an interactive adjust the radius of a circle to see its effects on the area. They note how restrictions in the domain (radius) relate to...
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Interactive
CK-12 Foundation

Restricted Domain and Range: Translation of a Curve

For Students 9th - 12th Standards
Moving the graph of a function obviously changes its domain and range. Scholars adjust the location of a graph in an interactive coordinate plane. The interactive automatically updates and displays the domain and range to show how it...
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Interactive
CK-12 Foundation

APR and APY: APR vs. APY

For Students 10th - 12th
Who wins the battle of the interest rates? Scholars use an interactive to investigate three different bank rates. Comparing APR and APY lets them see how nominal and effective rates differ.