K6 Mathematics Tools List



# Image Name Description    (starts with content tag(s).)
1 Addition Models:
Part-Part-Whole and Number Line

Number. Addition. Drag counters into the two boxes of the part-part-whole model and see the total (whole) in the box underneath. The number line model reflects the parts and the whole in the part-part-whole model. Options include showing or hiding numbers, counters, and aspects of the number line. Created by EDC in Maine staff for the Maine Learning Technology Initiative (MLTI) to support the integration of technology in mathematics learning and teaching.

2 Addition Models:
Part-Part-Whole and Number Line Problems (version 1)

Number. Addition. Drag counters onto the two boxes of the part-part-whole model and see the total (whole) in the box underneath. The number line model reflects the parts and whole in the part-part-whole model. This version includes problems for users to solve and a check box shows the answer. Options include showing or hiding numbers, counters, and aspects of the number line. Created by EDC in Maine staff for the Maine Learning Technology Initiative (MLTI) to support the integration of technology in mathematics learning and teaching.

3 Addition Models:
Part-Part-Whole and Number Line Problems (version 2)

Number. Addition. Drag counters onto the two boxes of the part-part-whole model and see the total (whole) in the box underneath. The number line model reflects the parts and whole in the part-part-whole model. This version includes problems for users to solve and a checkbox shows the answer; problem 4 includes a slider to set the number subtracted. Options include showing or hiding numbers, counters, and aspects of the number line. Created by EDC in Maine staff for the Maine Learning Technology Initiative (MLTI) to support the integration of technology in mathematics learning and teaching.

4 Arithmetic Rack (1)

Number. Addition. Subtraction. Simulates an arithmetic rack with 10 beads per rod. One or two rods can be shown, as well as the total number of beads on each side of each rod, and the sum or difference of the beads on the left of the rods. Checkboxes allow users to hide the beads on the right side of each rod. Problems for which students make the total value can be generated randomly, and feedback appears when the total on the left side matches the target number. Created by EDC in Maine staff for the Maine Learning Technology Initiative (MLTI) to support the integration of technology in mathematics learning and teaching.

5 Arithmetic Rack (2):
Beads on Left

Number. Subtraction. Addition. Simulates an arithmetic rack with 10 beads per rod. Beads start on the left, which can be useful for subtraction problems. One or two rods can be shown, as well as the total number of beads on each side of each rod, and the sum or difference of the beads on the left of the rods. Checkboxes allow users to hide the beads on the right side of each rod. Created by EDC in Maine staff for the Maine Learning Technology Initiative (MLTI) to support the integration of technology in mathematics learning and teaching.

6 Broken Rulers (1)

Measurement. Number. Measure different objects using various rulers. Checkboxes show measurement aids and allow you to check answers. Select from nine objects and five U.S. (customary) rulers. Rulers divided into 1/4 inch intervals. Created by EDC in Maine staff for the Maine Learning Technology Initiative (MLTI) to support the integration of technology in mathematics learning and teaching.

7 Broken Rulers (2)

Measurement. Number. Measure different objects using various inch and centimeter rulers. Checkboxes show measurement aids and allow you to check answers. Select from twenty objects and eight rulers. U.S. (customary) rulers divided into 1/16 inch intervals. Created by EDC in Maine staff for the Maine Learning Technology Initiative (MLTI) to support the integration of technology in mathematics learning and teaching.

8 Broken Rulers: Measure Me

Measurement. Number. Use a broken ruler to measure three pets. Checkboxes show measurement aids and allow you to check answers. U.S. (customary) ruler is divided into 1/16 inch intervals. Created by EDC in Maine staff for the Maine Learning Technology Initiative (MLTI) to support the integration of technology in mathematics learning and teaching.

9 Comparing Rational Numbers (Decimals)

Number. Rational Numbers. Decimals. Create two rational numbers using sliders for each digit (units, tenths, hundredths, thousandths). Compare, then check using a number line.

10 Comparing Rational Numbers (Fractions)

Number. Rational Numbers. Fractions. Create two rational numbers (fractions) using sliders for the numerators and denominators. Compare, then check using area models and a number line.

11 Comparing Rational Numbers (Fractions)
(version 2)

Number. Rational Numbers. Fractions. Create two rational numbers (fractions) using sliders for the numerators and denominators. Compare, then check using area models and a number line. A red line can be used to compare the area models.

12 Comparing Whole Number Products
(factors up to 12)

Number. Multiplication. Area. Array. This tool allows users to compare two whole number products visually using area or array models. Users can change the factors (from 0 to 12) using sliders; the numerical product can be shown. Compare the products visually by dragging the second area or array model over the first model. Side, remaining, and additional lengths, as well as region areas, can be shown with the area model.

13 Comparing Whole Number Products
(factors up to 30)

Number. Multiplication. Area. Array. This tool allows users to compare two whole number products visually using area or array models. Users can change the factors (from 0 to 30) using sliders; the numerical product can be shown. Compare the products visually by dragging the second area or array model over the first model. Side, remaining, and additional lengths, as well as region areas, can be shown with the area model.

14 Distributive Property Matrix (1)

Operations. Algebra. Expressions. Polynomials. Properties. Explore the distributive property with expressions in the factored form (a + b) (c + d) using a matrix multiplication method. Sliders determine the number values. Checkboxes show or hide the factored form, starting matrix values, matrix, products in the matrix, and solution. Designed by GeoGebra in Algebra I participant K. Bean and EDC in ME staff. Created by Peter Tierney-Fife.

15 5 Frame & 10 Frame

Number. Addition. Users drag chips onto a 5 frame or a 10 frame. Options include showing totals, hiding frames or remaining chips, and showing the sum or difference of the two rows in the 10 frame. Created by EDC in Maine staff for the Maine Learning Technology Initiative (MLTI) to support the integration of technology in mathematics learning and teaching.

16 Fractions (Set Model)

Number. Fractions. Set Model. Explore the meaning of fractions using a set model. Sliders change the number of blue circles and the number of circles in a set. Check boxes allow students to check the values for the fraction, decimal, and percentage. Improper fractions are possible.

17 Lattice Multiplication Method

Number. Multiplication. Lattice. This tool allows users to explore the lattice method of multiplication. The tool is restricted to one factor from 0 to 99 and the second factor from 0 to 18. Users can turn on and off the sliders for the factor values, the grid (box), the values in the box, and the answer shown separately. Modified by Peter Tierney-Fife from the Equivalent Expressions - Distributive Property (3a) tool.

18 Locating Rational Numbers (1)
Fractions

Number. Fractions. Locate rational numbers on a number line. Drag fractions to the number line and check your answer.

19 Locating Rational Numbers (2)
Decimals

Number. Decimals. Locate rational numbers on a number line. Drag decimal numbers to the number line and check your answer.

20 Locating Rational Numbers (3)
Mixed Numbers

Number. Mixed Numbers. Fractions. Decimals. Locate rational numbers on a number line. Drag fractions and mixed numbers to the number line and check your answer. Use the pointer to find a location on the number line and check your answer.

21 Multiple Models for Proper Fractions
Number. Fractions. Model. Display and compare multiple models for proper fractions. Representations include a linear, a number line, three set, and three area models. Designed by MSP project participants. Created by Peter Tierney-Fife.
22 Multiplying Fractions - Area Model

Operations. Number. Fractions. Explore the multiplication of fractions using an area model. Sliders change the values of the numerators and denominators, and you can check the product.

23 Multiplying Unit Fractions - Area Model

Operations. Number. Fractions. Explore the multiplication of unit fractions using an area model. Sliders change the values of the denominators, and you can check the product.

24 Quick Image Tool

Users can create image patterns to build subitizing skills. Options including showing the number of chips of each color and hiding chips either in the circle or remaining outside the circle.

25 Representing Rational Numbers - Number Line Model 1

Number. Fractions. Decimals. Percents. Explore fractions, decimals, and percents by changing the number of divisions and the number of shaded divisions on a number line from 0 to 1.

26 Representing Rational Numbers - Number Line Model 2

Number. Fractions. Decimals. Percents. Explore fractions, decimals, and percents by changing the number of divisions and the number of shaded divisions on a number line. A slider changes the total length of the number line from 0.1 to 2 units.

27 What is the Number?

Number. Create a number line by setting minimum, maximum, and number of intervals. Use up to 7 pointers to mark locations on the number line. Check pointer values using a checkbox. Choose between fraction or decimal values for hash marks and pointers. Created by EDC in Maine staff for the Maine Learning Technology Initiative (MLTI) to support the integration of technology in mathematics learning and teaching.


The list is alphabetical by tool name. The descriptions begin with content tag(s). You can use your browser's Find feature ("command+ F" on a Mac computer) to search by content tags and key words.

GeoGebra Wiki Link

Access the English GeoGebra Wiki: http://www.geogebra.org/en/wiki/index.php/English

Helpful Tips

These tools require Java 1.4.2 or later. If you have trouble opening the files, please make sure that Java 1.4.2 (or later) is installed and active in your browser. (Click here to install Java now.)

If Java 1.4.2 or later is installed and you experience trouble, try quitting the browser and restarting, or use a different browser (e.g. if you are using Firefox and the applets stop loading, try using Safari). You may have run out of browser memory (Java heap space).

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Credits, License, and Contact Information

GeoGebra applets collaboratively designed by project partners and staff of EDC in Maine.

The tools were constructed using the cross-platform open educational resource GeoGebra.

Covered under the Creative Commons License (Attribution-Noncommercial-Share Alike); see also here. Under this license you are free to to copy, distribute, display, and perform the work, and to make derivative works, under the following conditions: attribution is given, the use is non-commercial (unless you have permission from the author), and if you alter or build on this work you may distribute the resulting work only under a license identical to this one.

Report errors, broken links, or problems loading these applets to ptierney-fife@edc.org.