Jessica's Fraction Book

Jessica Hatcher, Apr 11, 2019

EDC 362 Final Project Geogebra book

Table of Contents

  1. Introduction to Fractions
    1. Fractions_Whole and Parts
    2. Fractions
    3. Compare Fractions
  2. Models of Rational Numbers
    1. Graphing Rational Numbers on a Horizontal Line
    2. RationalSort
    3. Venn Diagram Real Numbers
    4. locating reals on a number line
    5. Sets of Real Numbers 8th
  3. Fraction Equivalence, Ordering, and Simplifying
    1. Pizza and fractions
    2. Ordering Fractions
    3. Compare Two Fractions
    4. Simplifying Fractions
    5. Arranging fractions, decimals, and percents
  4. Adding Fractions
    1. Fraction Addition (Intro)
    2. Fraction Addition
    3. Investigating Adding Fractions
    4. Adding Fractions with Diagrams
    5. Adding Fractions with Unlike Denominators
  5. Subtracting Fractions
    1. Addition and Subtraction of Fractions (same denominator)
    2. Fraction Addition and Subtraction
    3. Subtracting fractions with number lines
    4. Subtracting Fractions
  6. Multiplying Fractions
    1. Multiplying Fractions
    2. fraction multiplication
    3. Multiply Fractions
    4. M6 Multiplying fractions A
    5. Exploring Multiplying Fractions by Partitioning
  7. Dividing Fractions
    1. Division of a Fraction by a Whole Number
    2. Dividing a Whole Number by a Fraction
    3. Division of fractions
    4. Dividing Fractions
    5. Fraction Division
  8. Just For Fun
    1. Kaleidoscope
    2. 5-Piece Puzzle
    3. Could you fit it?
    4. Play Chomp!
    5. Play HEX!
  9. Shapes
    1. Triangle Paradox (Missing square puzzle)
    2. Proof Without Words
    3. GeoGebra Pentominoes
    4. Escherized Tessellation
    5. Shape sorter
    6. Morphing Polyhedra
    7. Fractions of Shapes

1.

Introduction to Fractions

  • 1. Fractions_Whole and Parts
  • 2. Fractions
  • 3. Compare Fractions

1.1.

Fractions_Whole and Parts

Fractions - Whole and Parts
– Yoong Kheong

1.2.

–

1.3.

–

2.

Models of Rational Numbers

  • 1. Graphing Rational Numbers on a Horizontal Line
  • 2. RationalSort
  • 3. Venn Diagram Real Numbers
  • 4. locating reals on a number line
  • 5. Sets of Real Numbers 8th

2.1.

Graphing Rational Numbers on a Horizontal Line

Drag each rational number to their correct position on the number line
– Celia Jimenez

2.2.

–

2.3.

–

2.4.

–

2.5.

–

3.

Fraction Equivalence, Ordering, and Simplifying

  • 1. Pizza and fractions
  • 2. Ordering Fractions
  • 3. Compare Two Fractions
  • 4. Simplifying Fractions
  • 5. Arranging fractions, decimals, and percents

3.1.

Pizza and fractions

What part of pizza is left over, and what is eaten? What fractions are answers on these quations?[br]Click the buttons in the applet to check your answers.[br]Can you answer without clicking the "division" check box (without showing the division)?[br]Click the "Refresh" sign in the right-upper angle of the applet to repeat exercise.
Pizza and fractions
– ahorvatek

3.2.

–

3.3.

–

3.4.

–

3.5.

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4.

Adding Fractions

  • 1. Fraction Addition (Intro)
  • 2. Fraction Addition
  • 3. Investigating Adding Fractions
  • 4. Adding Fractions with Diagrams
  • 5. Adding Fractions with Unlike Denominators

4.1.

Fraction Addition (Intro)

Addition of Fractions (sum within 2)
Fraction Addition (Intro)
– Jellyflower

4.2.

–

4.3.

–

4.4.

–

4.5.

–

5.

Subtracting Fractions

  • 1. Addition and Subtraction of Fractions (same denominator)
  • 2. Fraction Addition and Subtraction
  • 3. Subtracting fractions with number lines
  • 4. Subtracting Fractions

5.1.

Addition and Subtraction of Fractions (same denominator)

– mathspace

5.2.

–

5.3.

–

5.4.

–

6.

Multiplying Fractions

  • 1. Multiplying Fractions
  • 2. fraction multiplication
  • 3. Multiply Fractions
  • 4. M6 Multiplying fractions A
  • 5. Exploring Multiplying Fractions by Partitioning

6.1.

Multiplying Fractions

Multiply two proper fractions using an array approach.
– John Ulbright

6.2.

–

6.3.

–

6.4.

–

6.5.

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7.

Dividing Fractions

  • 1. Division of a Fraction by a Whole Number
  • 2. Dividing a Whole Number by a Fraction
  • 3. Division of fractions
  • 4. Dividing Fractions
  • 5. Fraction Division

7.1.

Division of a Fraction by a Whole Number

– mathspace

7.2.

–

7.3.

–

7.4.

–

7.5.

–

8.

Just For Fun

  • 1. Kaleidoscope
  • 2. 5-Piece Puzzle
  • 3. Could you fit it?
  • 4. Play Chomp!
  • 5. Play HEX!

8.1.

Kaleidoscope

Drag the large blue point.[br][br]You can also change the options to change the sort of pattern
– Michael Borcherds

8.2.

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8.3.

–

8.4.

–

8.5.

–

9.

Shapes

  • 1. Triangle Paradox (Missing square puzzle)
  • 2. Proof Without Words
  • 3. GeoGebra Pentominoes
  • 4. Escherized Tessellation
  • 5. Shape sorter
  • 6. Morphing Polyhedra
  • 7. Fractions of Shapes

9.1.

Triangle Paradox (Missing square puzzle)

The two shapes have the same area. So where did the black square come from then?
– Stefan Lizelfelner, Michael Borcherds

9.2.

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9.3.

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9.4.

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9.5.

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9.6.

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9.7.

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