Fraction/Geometry Book

Ellie Martyn, Oct 26, 2023

Fraction/Geometry Book

Table of Contents

  1. Rational Numbers
    1. Fraction Models
    2. Field of Fractions
    3. Area Models for Improper Fractions
  2. Fraction Properties
    1. Visualize Equivalent Proper Fractions
    2. Ordering Fractions
    3. Comparing Fractions
    4. Simplifying Fractions
    5. Improper Fractions and Mixed Numbers
  3. Adding/Subtracting
    1. Adding Fractions with an Area Model
    2. Investigating Adding Fractions
    3. 6.NS.4 - Adding Fractions Scored Practice
    4. Subtracting fractions with number lines
    5. Subtracting Proper Fractions
  4. Multiplying/Dividing
    1. Multiplying Fractions
    2. Multiplying Fractions
    3. Dividing Fractions
    4. Dividing a Whole Number by a Fraction
    5. Multiplying and Dividing Proper Fractions
  5. Denseness of Fractions
    1. Fraction Between Two Fractions

1.

Rational Numbers

  • 1. Fraction Models
  • 2. Field of Fractions
  • 3. Area Models for Improper Fractions

1.1.

Fraction Models

This worksheet is for investigating/comparing fractions through the manipulation of rectangular and circular area models.
– Edward Knote

1.2.

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1.3.

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2.

Fraction Properties

  • 1. Visualize Equivalent Proper Fractions
  • 2. Ordering Fractions
  • 3. Comparing Fractions
  • 4. Simplifying Fractions
  • 5. Improper Fractions and Mixed Numbers

2.1.

Visualize Equivalent Proper Fractions

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

2.2.

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2.3.

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2.4.

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2.5.

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3.

Adding/Subtracting

  • 1. Adding Fractions with an Area Model
  • 2. Investigating Adding Fractions
  • 3. 6.NS.4 - Adding Fractions Scored Practice
  • 4. Subtracting fractions with number lines
  • 5. Subtracting Proper Fractions

3.1.

Adding Fractions with an Area Model

Adding fractions with an Area Model
Adding fractions with an Area Model
Use the are model to understand adding fractions.[br][br]Click the RESET arrows to get a new problem. (You might need to do this if the randomly generated problem does not make sense. For example 0/3 + 0/8)
– Duane Habecker

3.2.

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3.3.

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3.4.

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3.5.

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4.

Multiplying/Dividing

  • 1. Multiplying Fractions
  • 2. Multiplying Fractions
  • 3. Dividing Fractions
  • 4. Dividing a Whole Number by a Fraction
  • 5. Multiplying and Dividing Proper Fractions

4.1.

Multiplying Fractions

[size=150][size=100]In mathematics we read the number sentence [math]\frac{2}{3}\times\frac{3}{5}[/math] as two-thirds of three-fifths. This applet is [br]designed to represent a whole with a square and interactive tools (check boxes and sliders), to investigate a model for multiplying fractions. [br][br]Begin by selecting the denominator and numerator check boxes for the blue fraction followed by the denominator and numerator check boxes for the red fraction. [/size][/size]
– Edward Knote

4.2.

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4.3.

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4.4.

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4.5.

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5.

Denseness of Fractions

  • 1. Fraction Between Two Fractions

5.1.

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

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