MATH

Vivian Freeland, 20 Oct 2026

TE 367

Table of Contents

  1. Fraction Meanings
    1. Fraction Visualizer
    2. Where is one whole located
    3. Whole Number of Fractions
    4. Fraction Exploration
    5. Fraction Exploration
    6. Fractions - Parts of a whole
  2. Addition
    1. Fraction Addition
    2. Fraction Addition
    3. Fraction Addition (Intro)
    4. Fraction Addition
    5. ADDITION OF FRACTION
  3. Comparison
    1. Comparison of Fractions using a line or circle models
    2. Fraction Comparison
    3. Fraction comparison
    4. Comparing Fractions
    5. Copy of Comparing Fractions
  4. Subtraction
    1. Fraction Subtraction
    2. Modeling Fraction Subtraction as the Difference Between Two Strips
    3. Illustrating Addition and Subtraction of Proper Fractions
    4. Fraction Addition/Subtraction - Common Denominators
    5. Fraction Subtraction with Bar Models (set 2)
  5. Multiplication
    1. Fraction Multiplier
    2. fraction multiplication
    3. Fraction Multiplication
    4. Fraction Multiplication
    5. Multiplying Fractions Using Visual Models
  6. Division
    1. Fraction Division
    2. Modeling Division as a Fraction
    3. Division of a whole number by a fraction
    4. Division is really Multiplication
    5. Division of Fractions

1.

Fraction Meanings

  • 1. Fraction Visualizer
  • 2. Where is one whole located
  • 3. Whole Number of Fractions
  • 4. Fraction Exploration
  • 5. Fraction Exploration
  • 6. Fractions - Parts of a whole

1.1.

Fraction Visualizer

Generates a random fraction and then some visualizations of it, as well as an option to compare to another.[br][br]Random version of this: [url=https://www.geogebra.org/m/fdyexg76]https://www.geogebra.org/m/fdyexg76[/url]
– John Golden

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1.3.

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1.4.

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1.5.

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1.6.

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2.

Addition

  • 1. Fraction Addition
  • 2. Fraction Addition
  • 3. Fraction Addition (Intro)
  • 4. Fraction Addition
  • 5. ADDITION OF FRACTION

2.1.

Fraction Addition

Create a fraction addition problem. Then use the checkboxes and new slider to assist you in finding the common division of the circle pieces.
Fraction Addition
Can you generalize a method of how to determine the division of the new circle?
– Guy Barmoha

2.2.

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3.

Comparison

  • 1. Comparison of Fractions using a line or circle models
  • 2. Fraction Comparison
  • 3. Fraction comparison
  • 4. Comparing Fractions
  • 5. Copy of Comparing Fractions

3.1.

Comparison of Fractions using a line or circle models

– Waddy

3.2.

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4.

Subtraction

  • 1. Fraction Subtraction
  • 2. Modeling Fraction Subtraction as the Difference Between Two Strips
  • 3. Illustrating Addition and Subtraction of Proper Fractions
  • 4. Fraction Addition/Subtraction - Common Denominators
  • 5. Fraction Subtraction with Bar Models (set 2)

4.1.

Fraction Subtraction

Type two fractions on the right side and click the "Subtract" button on the left side. Explore a tape model that represents subtracting the two fractions. Click the "Reset" button to restart the animation of the model (click "Subtract" again).
Adapted from the [url=https://www.geogebra.org/m/EK55dCFh]Fraction Bar - Subtraction[/url] resource by Auston B Cron, who thanks Tang Dashi on the GeoGebra Forum. Adapted by [url=https://ies.ed.gov/ncee/rel/region/midwest]Regional Educational Laboratory Midwest[/url] for use with the Teaching Fractions Toolkit, which is based on the IES Practice Guide [url=https://ies.ed.gov/ncee/wwc/PracticeGuide/15][i]Developing Effective Fractions Instruction for Kindergarten Through 8th Grade[/i][/url].[br][br][url=mailto:ptierneyfife@edc.org]Contact us[/url] if this resource should be updated, or with questions or suggestions. We appreciate your help maintaining the quality of this resource.
– Regional Educational Laboratory Midwest, Auston B Cron

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4.3.

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4.4.

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5.

Multiplication

  • 1. Fraction Multiplier
  • 2. fraction multiplication
  • 3. Fraction Multiplication
  • 4. Fraction Multiplication
  • 5. Multiplying Fractions Using Visual Models

5.1.

Fraction Multiplier

Simon Gregg had the idea to use the fraction modeler to show multiplication. For students to draw, I prefer rectangles because they're easier to draw, but students do gravitate to fraction models, so maybe this can be supportive.[br][br]Circle Model Fraction comparison: [br][url]http://geogebratube.org/student/m694587[/url][br][br]A Rectangle Model multiplication: [br][url]http://geogebratube.org/student/m132103[/url]
Fraction Multiplier
– John Golden

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6.

Division

  • 1. Fraction Division
  • 2. Modeling Division as a Fraction
  • 3. Division of a whole number by a fraction
  • 4. Division is really Multiplication
  • 5. Division of Fractions

6.1.

Fraction Division

Quotative Division
[b]Quotative division[/b] involves taking a set of size a and forming groups of size b. The number of groups of this size that can be formed, c, is the quotient of a and b.
Partative Division
A [b]partitive division[/b] problem is one where you know the total number of groups, and you are trying to find the number of items in each group.
– tulasia, brian.gleason

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Information