Fractions in Geometry

Abigale Whitford, Oct 26, 2023

Table of Contents

  1. Models of Rational Numbers
    1. Fraction Relationships with Visual Models
    2. Comparing Fractions using Models
    3. Comparing Rational Numbers – Fractions
  2. Fraction Equivalence, Ordering, and Simplifying
    1. Simplifying Fractions Concept مفهوم تبسيط الكسور
    2. Equivalent Fractions
    3. Ordering Fractions
  3. Adding Fractions
    1. Add Fractions using Area models
    2. Adding Fractions with an Area Model
    3. Adding Fractions Scored Practice
  4. Subtracting Fractions
    1. Adding and Subtracting Fractions
    2. Subtracting Fractions using an Area Model
    3. Adding and Subtracting Proper Fractions
  5. Multiplying Fractions
    1. Multiplying fractions
    2. Multiplying fractions with area model
    3. Multiplying Fractions: Array model activity
  6. Dividing Fractions
    1. Dividing Fractions based on patterns
    2. Dividing Fractions
    3. Dividing fractions Area models
  7. Denseness of Fractions
    1. Fraction Between Two Fractions

1.

Models of Rational Numbers

  • 1. Fraction Relationships with Visual Models
  • 2. Comparing Fractions using Models
  • 3. Comparing Rational Numbers – Fractions

1.1.

Fraction Relationships with Visual Models

Contact us at [url=mailto:ptierneyfife@edc.org]ptierneyfife@edc.org[/url] if this resource should be updated, or with questions or suggestions. We appreciate your help maintaining the quality of this resource.
– EDC in Maine

1.2.

–

1.3.

–

2.

Fraction Equivalence, Ordering, and Simplifying

  • 1. Simplifying Fractions Concept مفهوم تبسيط الكسور
  • 2. Equivalent Fractions
  • 3. Ordering Fractions

2.1.

Simplifying Fractions Concept مفهوم تبسيط الكسور

Simplifying Fractions Concept مفهوم تبسيط الكسور
– Ibrahim El Hage

2.2.

–

2.3.

–

3.

Adding Fractions

  • 1. Add Fractions using Area models
  • 2. Adding Fractions with an Area Model
  • 3. Adding Fractions Scored Practice

3.1.

Add Fractions using Area models

Change the value of the numerator and denominator of the fractions. Then, find the solution when you add the fractions. Check your answer by selecting "Check Answer."
– Samantha Garcia

3.2.

–

3.3.

–

4.

Subtracting Fractions

  • 1. Adding and Subtracting Fractions
  • 2. Subtracting Fractions using an Area Model
  • 3. Adding and Subtracting Proper Fractions

4.1.

Adding and Subtracting Fractions

Add and subtract fractions visually.[br]Default is addition. Check the "subtraction" box for subtraction.[br]Slide up/down (on the right) to overlay the circles.[br]Check "Lowest Dommon Denominator" to make the circle compatible.[br]Slide answer for the results (including simplification).
– Morton Betts

4.2.

–

4.3.

–

5.

Multiplying Fractions

  • 1. Multiplying fractions
  • 2. Multiplying fractions with area model
  • 3. Multiplying Fractions: Array model activity

5.1.

Multiplying fractions

Show me how it works!
– Adrián Martín

5.2.

–

5.3.

–

6.

Dividing Fractions

  • 1. Dividing Fractions based on patterns
  • 2. Dividing Fractions
  • 3. Dividing fractions Area models

6.1.

Dividing Fractions based on patterns

pattern for dividing fractions
– Brian T Domroes

6.2.

–

6.3.

–

7.

Denseness of Fractions

  • 1. Fraction Between Two Fractions

7.1.

Fraction Between Two Fractions

 In this applet, we model fractions as slopes of line segments. [list=1][*]Form two fractions by dragging the blue points. One fraction is the ratio of the lengths of the red segments. The ratio of the lengths of the green segments is the second fraction.[/*][*]Drag the slider to construct segments with slopes equal to the given fractions. [/*][*]Try the construction with other fractions by dragging the blue points.[/*][/list]What is the relationship between the original fractions and the fraction formed by adding their numerators and the denominators? In other words, how the slope of the blue segment relates to the slopes of the red and the green one?
– Irina Boyadzhiev

Information