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Interactive
CK-12 Foundation

Angles of Rotation in Standards Positions: Clock Angles

For Students 9th - 12th Standards
Use a clock face to develop angles representing standard position angles. The interactive allows pupils to create angles using the hands of a clock. Scholars discover that there is a difference in the angle formed using a clock face and...
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Interactive
CK-12 Foundation

Using Quadratic Equations to Solve Problems: Pizza Slice!

For Students 9th - 12th Standards
Get the most out of a pizza. Class members use an interactive to simulate cutting a pizza to determine the maximum number of slices possible. The pupils create a set of data points and determine the equation that models the relationship.
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Interactive
CK-12 Foundation

Trigonometric Functions and Angles of Rotation: The Triangle in the Circle

For Students 10th - 12th Standards
Go around the unit circle and create triangles. Pupils move a point around the unit circles to visualize the triangle associated with the angle in standard position. The three main trigonometric functions are defined in terms of the legs...
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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

Translating Sine and Cosine Functions: Translating Sine

For Students 10th - 12th Standards
Learn how to slide sine back and forth and up and down. Pupils move the starting point of a graph of sine vertically and horizontally. They investigate the changes to the equation of the graph in relationship to the translation. They...
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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. 
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Interactive
CK-12 Foundation

Common Multiples: Sports Calendar

For Students 6th Standards
Using a calendar, basketballs, and tennis balls, young mathematicians determine the common multiples of four and six. Individuals drag and drop the balls onto the correct dates each sport will be played, allowing them to see which days...
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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

Factor Pairs: Flower Garden

For Students 6th Standards
Arrange the dimensions of Marissa's rectangular flower garden so that 12 flowers can be grown. How many factor pairs does the number 12 have? What dimensions are necessary for a square shaped planter?
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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

Addition of Integers: Polka Dots

For Students 7th Standards
What happens when you add negative and positive integers to one another? Do you add or subtract, and will the answer be positive or negative? Young mathematicians use blue and red polka dots to determine the value of an expression that...
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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

Whole Number Subtraction: Penguins Go for a Swim

For Students 6th
As penguins jump off of an iceberg, young mathematicians count the remaining penguins in order to discover the whole number subtraction answer. As they work through the questions, they can manipulate the red dot to add and subtract more...
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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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