Interactive
CK-12 Foundation

Multi-Step Inequalities: Summer Camp

For Students 6th - 9th Standards
No chaperones are necessary to use this resource. Scholars solve a multi-step inequality problem on summer camp chaperones by using a pictorial representation. They write inequalities to represent various situations in this context.
Interactive
CK-12 Foundation

Two-Step Equations with Subtraction and Multiplication: Cupcake Equation

For Students 7th - 9th Standards
Solving equations is a piece of cake. Young mathematicians use an interactive to create a bar model to representing a situation involving cupcakes. They use the model to solve for the cost of a cupcake.
Interactive
CK-12 Foundation

Polygon Classification in the Coordinate Plane

For Students 6th - 10th Standards
Classify this resource into the "Use" pile. Scholars use an interactive coordinate plane to plot polygons given coordinates for the vertices. They use properties to classify each polygon and answer a few challenge questions regarding the...
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

Data Summary and Presentation: Chart for Grouping Data

For Students 7th - 12th Standards
Get social! Create a display of social media use for a class. Pupils use provided information about the time spent on social media to construct a histogram. Using the histogram, learners interpret the data to answer questions.
Interactive
CK-12 Foundation

Displaying Univariate Data: Ordering Leaves

For Students 9th - 12th Standards
Leaf a little time to organize data. Given data displayed in a stem-and-leaf plot, learners organize the data in a list. Pupils use the data to determine the mode, median, and range of the data set. They determine the benefits of using a...
Interactive
CK-12 Foundation

Single Bar Graphs: Hockey Teams

For Students 6th - 12th Standards
Raise the bar for hockey fans. Using data about favorite hockey teams, pupils build a bar graph. They use the information from the graph to make comparisons and solve one- and two-step problems.
Interactive
CK-12 Foundation

Understand and Create Histograms: Histograms

For Students 6th - 10th Standards
Determine the shape of weight. Using the interactive, class members build a histogram displaying weight ranges collected in a P.E. class. Scholars describe the shape of the histogram and determine which measure of central tendency to use...
Interactive
CK-12 Foundation

Stem-and-Leaf Plots and Histograms: Digital Photography

For Students 8th - 10th Standards
Cameras use histograms to communicate the exposure of a photograph. An interesting lesson uses this idea to help learners deepen their understanding of histograms. It highlights the skew of the graphs by showing under- and overexposed...
Interactive
CK-12 Foundation

Concept of Limit

For Students 11th - Higher Ed
There's no limit to how useful the resource can be. Scholars use a slider interactive to investigate limits from graphs. They take both one-sided and two-sided limits into consideration.
Interactive
CK-12 Foundation

Coefficient of Variation: Diverse Populations

For Students 9th - 12th
What is the height of school clubs? Learners use sliders to calculate the coefficient of variation for three different school groups. Using the calculations, class members compare the variation in the heights of the groups.
Interactive
CK-12 Foundation

Variance of a Data Set

For Students 9th - 12th Standards
Use variable value sliders to understand variance. The interactive shows four whole numbers, their mean and deviation. Using the information, pupils find the variance of the numbers and respond to question related to the understanding of...
Interactive
CK-12 Foundation

Intermediate Value Theorem, Existence of Solutions: Function Exploration

For Students 11th - Higher Ed
Does the value exist? The interactive allows pupils to visualize the Intermediate Value Theorem. Using the visualization, individuals respond to questions using specific values and general values. The class comes to the conclusion what...
Interactive
CK-12 Foundation

Average and Instantaneous Rates of Change

For Students 11th - Higher Ed
How can you determine the rate of change on a curve? Pupils use the interactive to discover what happens with the average rate of change as the point move closer to the other. Using the definition of the derivative, learners find that it...
Interactive
CK-12 Foundation

Newton's Method

For Students 11th - Higher Ed
Use an iterative process to find an approximation of a square root. Pupils use the interactive to find an approximation to find the positive root of a quadratic function with Newton's method. With the graphs, learners position the...
Interactive
CK-12 Foundation

Vector Sum and Difference: The Country of Dreams

For Students 11th - Higher Ed Standards
Find your way around using vectors. Scholars use an interactive to learn about vector addition. They answer a set of questions about modeling a route on a map using vectors.
Interactive
CK-12 Foundation

Arithmetic Sequences: Paying of a Loan

For Students 11th - Higher Ed Standards
How long does it take to pay off a loan? Pupils use a graph to model the sequence associated with paying off a loan. Using the graph, learners determine the initial value and the common difference of the arithmetic sequence. The learners...
Interactive
CK-12 Foundation

Volume by Cross Section: Volume of the Cone

For Students 11th - Higher Ed
Discover another way to find the volume of a cone. Pupils explore how the area of a cross section changes as it moves through a cone. The interactive uses that knowledge to develop the integral to use to find the volume of the cone....
Interactive
CK-12 Foundation

Sums of Finite Arithmetic Series: Triangular Numbers

For Students 11th - Higher Ed
Using a slider, scholars build triangular numbers and their associated rectangles and use the geometric display to find the pattern to determine the next triangular number. They then relate that number to the area of the rectangle to...
Interactive
CK-12 Foundation

Ellipses Centered at the Origin: Lithotripsy

For Students 11th - Higher Ed Standards
Investigate ellipses through the lens of medical applications. Pupils use a medical scenario to determine the equation of an ellipse. By using the interactive, learners determine the foci and major and minor axes of the ellipse that...
Interactive
CK-12 Foundation

Limit of a Sequence: Finding the Limit of a Sequence (Part 1)

For Students 11th - Higher Ed
Put a squeeze on a sequence. An interactive provides a graphical display of a sequence. Using the graph, learners determine the algebraic expression for the sequence. Pupils use the general definition of a limit of a sequence to find the...
Interactive
CK-12 Foundation

Limit of a Sequence: Finding the Limit of a Sequence (Part 3)

For Students 11th - Higher Ed
Limit the view of sequences on both sides of the axis. Learners explore an alternating sign sequence. Using a graphical display of the first 10 terms of the sequence, pupils determine the formula for the general term. they then use the...
Interactive
CK-12 Foundation

Whole Number Exponents: Teddy Bear Box

For Students 3rd - 6th Standards
Five questions—multiple-choice, fill in the blank, and discussion—make up an interactive that challenges scholars to mail a teddy bear using the smallest box possible without squishing it. A box with movable sides allows mathematicians...
Interactive
CK-12 Foundation

Add and Subtract Decimals with Front-End Estimation: Wooden Beams

For Students 6th - 8th Standards
A six-question interactive tasks mathematicians to solve addition and subtraction problems using front-end estimation. Question types consist of multiple-choice and true or false. A set of wooden beams that can be measured using moveable...

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