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Online Virtual Manipulative Math Activities

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Fractions Sorter
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This activity allows the user to practice fractions and get a better understanding of them. They get a chance to work with two different aspects of fractions: making them and putting them in order from least to greatest.

Subject:
Mathematics
Material Type:
Activity/Lab
Diagram/Illustration
Formative Assessment
Interactive
Learning Task
Lesson Plan
Self Assessment
Simulation
Provider:
Shodor
Date Added:
02/14/2017
Function Revolution
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This applet is an expanded version of 3D Transmographer. This 3-dimensional model allows users to explore functions and their revolution around an axis. Once one or two functions have been rotated around an axis, the applet calculates the surface area and volume for the resulting solid. By clicking and dragging on the graph, users can change the vantage point from which they view the graph in order to better understand the functions, the revolution, and the resulting solid.

Subject:
Mathematics
Material Type:
Activity/Lab
Diagram/Illustration
Formative Assessment
Interactive
Learning Task
Lesson Plan
Self Assessment
Simulation
Provider:
Shodor
Date Added:
11/03/2016
Graphing Derivatives
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This Demonstration illustrates the connection between a function and its derivative on two separate graphs. The green vertical bars indicate the value of the rate of change at the point of tangency.

Subject:
Mathematics
Material Type:
Activity/Lab
Diagram/Illustration
Formative Assessment
Interactive
Learning Task
Self Assessment
Simulation
Provider:
Wolfram Demonstrations Project
Date Added:
11/29/2016
Graphing Exponential Equations
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Students graph exponential growth and decay functions by connecting ordered pairs. This is the first of three activities about Exponential Functions. The associated lesson plan and student assessment questions can be found at: https://concord.org/projects/smartgraphs#curriculum and clicking on “Algebra” and then “Exponential Functions.”

Subject:
Mathematics
Material Type:
Activity/Lab
Diagram/Illustration
Formative Assessment
Interactive
Learning Task
Lesson Plan
Self Assessment
Simulation
Provider:
The Concord Consortium
Date Added:
12/12/2016
Graph the Graph of f(x) given f’(x)
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CC BY-NC-SA
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The graph of y = f '(x) will be given. Your goal is to sketch the graph of the derivative: y = f (x). Use your mouse moving from left to right, staying on the graphing board, to draw the curve. When you are ready to sketch the graph move you mouse to the far left and click and drag. Be sure to move your mouse slowly. Moving too quickly will result in the deduction of points.

Subject:
Mathematics
Material Type:
Activity/Lab
Diagram/Illustration
Formative Assessment
Interactive
Learning Task
Self Assessment
Simulation
Provider:
Larry Green
Date Added:
11/30/2016
Instantaneous Rate of Change: Exploring More Functions with the First and Second Derivatives
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This Demonstration shows the instantaneous rate of change for different x values for polynomial functions of degree 2, 3, or 4, an exponential function, and a logistic function.

Subject:
Mathematics
Material Type:
Activity/Lab
Diagram/Illustration
Formative Assessment
Interactive
Learning Task
Self Assessment
Simulation
Provider:
Wolfram Demonstrations Project
Date Added:
11/29/2016
Mean and Median
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This applet allows the user to investigate the mean, median, and box-and-whisker plot for a set of data that they create. The data set may contain up to 15 integers, each with a value from 0 to 100.

Subject:
Mathematics
Material Type:
Activity/Lab
Diagram/Illustration
Formative Assessment
Interactive
Learning Task
Simulation
Provider:
NCTM Illuminations
Date Added:
11/30/2016
Measures
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This applet allows the user to select the number and height of plants or to name a different item data have been collected about to experiment with to find the total height, mean, median, mode, range, variance, and deviation.

Subject:
Mathematics
Material Type:
Activity/Lab
Diagram/Illustration
Formative Assessment
Interactive
Learning Task
Simulation
Provider:
Shodor
Date Added:
11/30/2016
Mixtures
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Mixtures allows the user to explore percent problems with two sets of circles. Each set of circles can have both colored and / or uncolored circles. The number of colored circles represents the percent of each pile. The user can select from a four modes: Exploration, Unknown Pile, Unknown Percent, or Unknown total.

Subject:
Mathematics
Material Type:
Activity/Lab
Diagram/Illustration
Formative Assessment
Interactive
Learning Task
Lesson Plan
Self Assessment
Simulation
Provider:
Shodor
Date Added:
11/30/2016
Pay the Points?
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Typically, American mortgage lenders will offer potential borrowers a menu of loans, each of which bears an interest rate and an extra amount of "interest" that the borrower must pay at the inception of the loan. This extra prepaid interest is generally referred to as "points" and is computed as a stated fraction of the initial loan balance. The menu generally permits the borrower to "buy down" the interest rate by paying points. If the borrower thinks he or she will hold the underlying real estate for a long period, it is often a good idea to pay points. On the other hand, if the borrower thinks he or she is likely to sell the underlying real estate in the near future, points are often not a good idea.

Subject:
Mathematics
Material Type:
Activity/Lab
Diagram/Illustration
Interactive
Learning Task
Simulation
Provider:
Wolfram Demonstrations Project
Date Added:
12/12/2016
Polynomial and Derivative
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Drag the points to change the graph of the polynomial and watch the derivative change accordingly. Nice choices will let the graph of the derivative stay within the given window.

Subject:
Mathematics
Material Type:
Activity/Lab
Diagram/Illustration
Formative Assessment
Interactive
Learning Task
Self Assessment
Simulation
Provider:
Wolfram Demonstrations Project
Date Added:
11/29/2016
Polynomials and Derivatives
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Drag the red marker along the x axis to move the point. Choose among polynomials of degree 2, 3, 4, or 5. Check the boxes to see the tangent line and the derivative graphs.

Subject:
Mathematics
Material Type:
Activity/Lab
Diagram/Illustration
Formative Assessment
Interactive
Learning Task
Self Assessment
Simulation
Provider:
Wolfram Demonstrations Project
Date Added:
11/29/2016
Stem and Leaf Plotter
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This activity displays a stem and leaf plot representing data either entered by the user or generated by the computer. The user can use the applet as a tool that creates a stem and leaf plot from data the user inputs, or to practice calculating the mean, median, and mode of a given data set.

Subject:
Mathematics
Material Type:
Activity/Lab
Diagram/Illustration
Formative Assessment
Interactive
Learning Task
Lesson Plan
Simulation
Provider:
Shodor
Date Added:
11/30/2016
Student Loan Debt Calculator
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The "Student loan debt calculator" applies two simple principles to paying off high-interest debt. 1. Consolidate the existing student loans 2. Use the extra cash every month to pay off other higher interest debt sooner. We apply the amount of payment savings you choose to the nonstudent loan debt with the highest rate. When that balance is paid in full, the balance with the next highest rate will be paid down. This continues until you have rolled through all of the balances and the non-student loan debt is paid in full. Click the "View Report" button for a detailed look at the results.

Subject:
Mathematics
Material Type:
Diagram/Illustration
Interactive
Learning Task
Simulation
Provider:
Bankrate
Date Added:
11/03/2015
Student Loan Debt Calculator
Restricted Use
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Rating
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The "Student loan debt calculator" applies two simple principles to paying off high-interest debt. 1. Consolidate the existing student loans 2. Use the extra cash every month to pay off other higher interest debt sooner. We apply the amount of payment savings you choose to the nonstudent loan debt with the highest rate. When that balance is paid in full, the balance with the next highest rate will be paid down. This continues until you have rolled through all of the balances and the non-student loan debt is paid in full. Click the "View Report" button for a detailed look at the results.

Subject:
Mathematics
Material Type:
Activity/Lab
Diagram/Illustration
Interactive
Learning Task
Simulation
Provider:
Bankrate
Date Added:
12/12/2016
Understanding Multiplication Using Dynamic Sketches of an Area Model
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Students are encouraged to build conceptual reasoning for multiplying decimals by manipulating an area model.

Subject:
Mathematics
Material Type:
Activity/Lab
Diagram/Illustration
Interactive
Learning Task
Self Assessment
Simulation
Provider:
NCTM Illuminations
Date Added:
02/14/2017