Fraction Book

Duane Habecker, Dec 29, 2016

This book will cover everything about fractions: what they are, what they mean, how to interpret them, and how to perform the four operations.

Table of Contents

  1. Fraction Manipulatives
    1. Fraction bars
    2. Pattern Blocks
  2. Fraction concepts
    1. Unit Fractions
    2. Visualizing fractions with various models
    3. Fractions - Naming
    4. Fractions - Parts of a whole
    5. Fractions on a numberline
    6. Where is one whole located v2
    7. Converting between improper fractions and mixed numbers
    8. Improper fractions and mixed numbers on a number line
    9. Positioning Fractions on the Number Line
    10. Arranging fractions from least to greatest
    11. Comparing fractions with lines and circles
    12. Locating fractions and decimals on a number line
    13. Fraction Guesser
    14. Expanding and Reducing Fractions
    15. Locating Fractions on a Number Line (1)
    16. Converting Mixed Number Fractions to Improper Fractions
    17. Fractions - Equivalent
    18. Equivalent fractions with area model
    19. Equivalent fractions with number lines
  3. Adding and subtracting
    1. Adding fractions on a number line
    2. Adding Fractions with an Area Model
    3. Subtracting fractions with number lines
    4. Subtracting Fractions using an Area Model
    5. Adding Fractions - Visual
    6. Fraction Addition
    7. Adding Fraction Practice
    8. Adding Fractions with Tape Diagrams
    9. Adding fractions with the area model
  4. Multiplying and dividing
    1. Multiplying fractions with area model
    2. Multiplying Fractions
    3. Multiplying Mixed Number Fractions
    4. Multiply Fractions
    5. Fraction Division
    6. Division of a Fraction by a Whole Number
    7. Division of a Whole Number by a Fraction
    8. Dividing Fractions
    9. Dividing by a fraction
    10. Multiplication of improper fraction by whole number-new
    11. Multiplication of proper fraction by whole number

1.

Fraction Manipulatives

  • 1. Fraction bars
  • 2. Pattern Blocks

1.1.

Fraction bars

– Duane Habecker

1.2.

–

2.

Fraction concepts

  • 1. Unit Fractions
  • 2. Visualizing fractions with various models
  • 3. Fractions - Naming
  • 4. Fractions - Parts of a whole
  • 5. Fractions on a numberline
  • 6. Where is one whole located v2
  • 7. Converting between improper fractions and mixed numbers
  • 8. Improper fractions and mixed numbers on a number line
  • 9. Positioning Fractions on the Number Line
  • 10. Arranging fractions from least to greatest
  • 11. Comparing fractions with lines and circles
  • 12. Locating fractions and decimals on a number line
  • 13. Fraction Guesser
  • 14. Expanding and Reducing Fractions
  • 15. Locating Fractions on a Number Line (1)
  • 16. Converting Mixed Number Fractions to Improper Fractions
  • 17. Fractions - Equivalent
  • 18. Equivalent fractions with area model
  • 19. Equivalent fractions with number lines

2.1.

Unit Fractions

– Duane Habecker

2.2.

–

2.3.

–

2.4.

–

2.5.

–

2.6.

–

2.7.

–

2.8.

–

2.9.

–

2.10.

–

2.11.

–

2.12.

–

2.13.

–

2.14.

–

2.15.

–

2.16.

–

2.17.

–

2.18.

–

2.19.

–

3.

Adding and subtracting

  • 1. Adding fractions on a number line
  • 2. Adding Fractions with an Area Model
  • 3. Subtracting fractions with number lines
  • 4. Subtracting Fractions using an Area Model
  • 5. Adding Fractions - Visual
  • 6. Fraction Addition
  • 7. Adding Fraction Practice
  • 8. Adding Fractions with Tape Diagrams
  • 9. Adding fractions with the area model

3.1.

Adding fractions on a number line

Use fractions on a number line to develop an understanding for how to add fractions.
– Duane Habecker

3.2.

–

3.3.

–

3.4.

–

3.5.

–

3.6.

–

3.7.

–

3.8.

–

3.9.

–

4.

Multiplying and dividing

  • 1. Multiplying fractions with area model
  • 2. Multiplying Fractions
  • 3. Multiplying Mixed Number Fractions
  • 4. Multiply Fractions
  • 5. Fraction Division
  • 6. Division of a Fraction by a Whole Number
  • 7. Division of a Whole Number by a Fraction
  • 8. Dividing Fractions
  • 9. Dividing by a fraction
  • 10. Multiplication of improper fraction by whole number-new
  • 11. Multiplication of proper fraction by whole number

4.1.

Multiplying fractions with area model

Multiplying fractions using the area model. This applet will demonstrate why the algorithms for multiplying fractions make sense.
– Duane Habecker

4.2.

–

4.3.

–

4.4.

–

4.5.

–

4.6.

–

4.7.

–

4.8.

–

4.9.

–

4.10.

–

4.11.

–

Information