Interactive
CK-12 Foundation

Number Patterns: Square Sizes

For Students 6th - 8th
Size up an interactive on square sizes. Scholars adjust the side length of a square to represent the next term in a geometric pattern. They answer a set of challenge questions on the pattern to complete the activity.
Interactive
CK-12 Foundation

Multiplying Matrices by a Scalar: Making Matrix Patterns

For Students 10th - 12th Standards
Scalar multiplication equations can be a drag. Scholars determine missing matrices to make correct scalar matrix multiplication equations. They place the correct matrix into the equations within the interactive resource and analyze the...
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.
Interactive
CK-12 Foundation

Inductive Reasoning from Patterns: Greeting with Handshakes

For Students 6th - 9th
Greet this resource like an old friend. An interactive has users investigate the number of handshakes required for a group to greet each member. A set of challenge questions ensures that learners have a solid understanding of the...
Interactive
CK-12 Foundation

Visual Patterns: Balloons

For Students 6th - 8th
Balloons aren't just for little kids; they can teach important math concepts, too. Individuals use an interactive to continue a color pattern with balloons. They continue the pattern and write a mathematical expression to represent the...
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.
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.
Interactive
CK-12 Foundation

Exponential Growth: Exponential, Fractal Snowflakes

For Students 10th - 12th Standards
Examine an exponential growth model. Using a fractal, learners calculate the perimeters of each stage. When comparing the consecutive perimeters, a pattern emerges. They use the pattern to build an equation and make conclusions.
Interactive
CK-12 Foundation

Basic Visual Patterns: Train Cars

For Students K - 2nd
An interactive comprised of five questions challenges young scholars to complete a simple pattern. After examining a train with colored carts, learners arrange a green, blue, and yellow block into their corresponding space. Questions are...
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.
Interactive
CK-12 Foundation

Sum and Difference of Cubes: Stacking Blocks

For Students 9th - 11th Standards
Investigate polynomial factoring patterns by finding a connection to volume. As learners build a three-dimensional solid from smaller solids, they convert the visual model to a mathematical expression. Their models represent the sum of...
Interactive
CK-12 Foundation

Multiplying Polynomials

For Students 9th - 11th Standards
Help your class find patterns in polynomial multiplication. Pupils multiply a trinomial by a binomial using a graphic organizer. They respond to questions about patterns observed in polynomial multiplication before a discussion question...
Interactive
CK-12 Foundation

Recursive Formulas: Fibonacci Sequence

For Students 11th - Higher Ed Standards
Explore the building blocks of the Fibonacci Sequence. Given the lengths of sides of squares, pupils deduce the pattern to determine the lengths of two more squares. Learners continue to work with recursive formulas to generate numerical...
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.
Interactive
CK-12 Foundation

Patterns and Expressions: Cookie Jars

For Students 6th - 9th Standards
It's okay to get caught with your hand in a virtual cookie jar. Pupils use an interactive to drag cookies from two cookie jars onto a plate. They investigate how an expression representing the number of remaining cookies changes as users...
Interactive
CK-12 Foundation

Exponential Decay: Cool Sunglasses

For Students 10th - 12th Standards
Who wouldn't want to wear four pairs of sunglasses? Each pair of sunglasses reduces the percent of incoming light by one-half. An interactive tutorial helps young mathematicians build a graph that models this scenario. They...
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.
Interactive
CK-12 Foundation

Horizontal Translations or Phase Shifts: Tangent

For Students 10th - 12th Standards
Patterns can be shifty! Find the pattern when shifting the graph of tangent. Pupils move the graph of tangent to different locations on the coordinate plane. They observe what happens to the function and its vertical asymptotes...
Interactive
CK-12 Foundation

Angle Classification: Crazy Quilt

For Students 9th - 12th Standards
There's more to a quilt than just a pretty pattern—there's geometry! Explore angle classification using an artistic approach to show your class that quilt designs are really just intricate geometric patterns. Here, scholars create a...
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...
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.
Interactive
CK-12 Foundation

Matrices to Represent Data: Houndstooth

For Students 10th - 12th Standards
Apply matrices to fashion. Here your classes use a matrix to create a popular clothing design. As they construct the pattern, they review the dimensions of a matrix by considering the rows and columns. 
Interactive
CK-12 Foundation

Exponential Terms Raised to an Exponent: Exponential Sliders

For Students 9th - 12th Standards
Discover the pattern of exponents through an interactive lesson. Young mathematicians manipulate sliders and watch the result as they change the base or exponents in an expression. The tutorial shows them the simplified expression and...
Interactive
CK-12 Foundation

Adding and Subtracting Matrices: The Matrix Calculator

For Students 10th - 12th Standards
Discover the procedure to add and subtract matrices. Pupils use the interactive and discover the pattern in adding and subtracting matrices. Scholars adjust the entries in the addends and see the resulting changes in the sum. They also...

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