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Interactive
CK-12 Foundation

Reference Angles and Angles in the Unit Circle: Exploring Reference Angles

For Students 10th - 12th Standards
A steal of a deal — get four angles for the value of one. An interactive resource allows individuals to visualize all four angles that have the same reference angle. Pupils answer questions by using the interactive to create the...
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Interactive
CK-12 Foundation

Whole Number Division: Pancakes

For Students 6th Standards
Given 13 pancakes and five plates, learners are asked to distribute the pancakes evenly among the plates. Is it possible? Will there be any remainders? These are the questions pupils are asked to answer after manipulating an interactive...
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Interactive
CK-12 Foundation

Least Common Multiple: Hot Dogs and Buns

For Students 6th Standards
Find the least common multiple of hotdog packages and bun packages in an interactive that allows pupils to drag and drop a set of four hot dogs into a pack of six buns to find the least common multiple of the sets.
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Interactive
CK-12 Foundation

Greatest Common Factor Using Lists

For Students 6th Standards
By creating a list of factors for two numbers, it is easier to see the greatest common factor. Each question in an interactive resource asks pupils to identify the greatest common factor for the numbers 24 and 36 in several different...
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Interactive
CK-12 Foundation

Whole Number Multiplication: Multiplication Map

For Students 4th - 6th Standards
How many miles did a car travel if it traveled at 55mph for three hours? What are the factors for this multiplication sentence? These are the questions young mathematicians must solve using a multiplication map.
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Interactive
CK-12 Foundation

Fraction Ordering with Lowest Common Denominators: Test Your Strength

For Students 6th Standards
Young mathematicians use a bell and hammer to see how high or low the puck goes. Then, they order the fractional values to demonstrate the greatest to lowest hit. Students then respond to several questions that require them to use...
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Interactive
CK-12 Foundation

Greatest Common Factor Using Factor Trees

For Students 6th Standards
Beginning with a description that sets the stage, learners are asked to break down the numbers 42 and 63 to find the greatest common denominator using factor trees. As they work through the factoring process, young mathematicians are...
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Interactive
CK-12 Foundation

Sine Graph and Cosine Graph: Changing Amplitude

For Students 10th - 12th Standards
Scholars manipulate the amplitude of the graphs of sine and cosine, notice how the change in amplitude is reflected in their graphs, and answer several questions about the concept they noticed.
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Interactive
CK-12 Foundation

Differences of Integers Using a Number Line: Football Game

For Students 6th Standards
Make football a math sport! Move the football player (red dot) along the sideline (number line) to see how many yards (positive and negative integers) they've traveled to the other team's end zone.
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Interactive
CK-12 Foundation

Addition of Integers: Adding Electrons

For Students 6th - 8th Standards
Young mathematical scientists interact with protons and electrons in an atom to create a neutrally charged atom. They answer questions based on their findings throughout the interactive resource.
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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.
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Interactive
CK-12 Foundation

Horizontal and Vertical Asymptotes: Rational Functions

For Students 9th - 12th Standards
Play with the graph of a rational function to discover the asymptote patterns. Young scholars use the interactive lesson to discover the relationship between the asymptotes and the function. As they manipulate the function, the graph...
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Interactive
CK-12 Foundation

Zero, Negative, and Fractional Exponents: Patterns with Powers

For Students 8th - 10th Standards
Build a foundational understanding of exponent patterns. Young scholars manipulate the bases of exponent expressions. They discover the meaning of negative exponents through their exploration.
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Interactive
CK-12 Foundation

Direct Variation: Value of a Painting

For Students 9th - 12th Standards
Help your pupils find a pattern of direct variation. Young scholars use input-output pairs to find a constant of variation and then write the equation. As they build their equations, the interactive lesson provides feedback.
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Interactive
CK-12 Foundation

Addition and Subtraction of Rational Expressions: Strawberry Sherbet Punch

For Students 9th - 12th Standards
Explore the connection between fractions and rational expressions. Young scholars manipulate fractions with unlike denominators to find a total. Challenge questions allow them to check their work to ensure they are correct.
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Interactive
CK-12 Foundation

Division of Rational Expressions: Step by Step

For Students 9th - 12th Standards
Division just got a little trickier! An interactive lesson highlights the steps of dividing two rational expressions. Young scholars determine the order of the steps from a bank of possible work. 
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Interactive
CK-12 Foundation

Using Quadratic Equations to Solve Problems: Construct a Soccer Field

For Students 8th - 10th Standards
Build a soccer field through a little mathematical analysis. Individuals manipulate the dimensions of a soccer field as they drag points to new positions. The simulation shows the corresponding intercepts and area. As pupils explore the...
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Interactive
CK-12 Foundation

Greatest Common Factor Using Lists: Tiling the Kitchen Floor

For Students 6th Standards
Use a combination of tiling a rectangle to find area and find the greatest common factor of the lengths of two sides and the area they create. Pupils increase and decrease the sides of the rectangle before answer five questions about...
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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 place. 
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Interactive
CK-12 Foundation

Negative Exponents

For Students 8th - 10th Standards
Watch the exponent expression do the negative exponent dance! An interactive lesson uses an animation to show how negative exponents become positive. Learners manipulate the expression and then respond to conceptual questions.
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Interactive
CK-12 Foundation

Inverse Variation Models: Speedometer for Inverse Variation Models

For Students 9th - 12th Standards
Model inverse variation while solving a real-world problem. Young scholars use the interactive lesson to discover the pattern of inverse variation data. They then use that discovery to write and analyze an equation.
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Interactive
CK-12 Foundation

Simplifying Rational Expressions: Sliding Solver

For Students 9th - 11th Standards
Build a strong understanding of simplified rational expression with your classes. An interactive lesson helps scholars discover the equality between the original expression and the simplified expression. Questions help individuals focus...
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Interactive
CK-12 Foundation

Solving Problems by Factoring: Building a Doghouse

For Students 8th - 10th Standards
Building a doghouse is easier with a little mathematical help! Young scholars use sliders to adjust the length of the doghouse and watch as it affects the width and area. They then answer questions that help them discover the question...
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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...

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