Fractions

Brooklin Yokubonus, Oct 26, 2023

Fractions

Table of Contents

  1. Models of Rational Numbers
    1. Rational Numbers on a Numberline
    2. Real Number Classification - Introduction
    3. Rational numbers between two integers
  2. Fraction Equivalence, Ordering, and Simplifying
    1. Equivalent fractions
    2. Ordering Fractions
    3. Simplifying Fractions
    4. Equivalent fractions with area
    5. Simplifying fractions
  3. Adding Fractions
    1. The butterfly effect for adding fractions
    2. Adding Fractions with Diagrams
    3. Adding Fractions Scored Practice
    4. Adding Fractions
    5. Adding Fractions - Visual
  4. Subtracting Fractions
    1. Subtracting fractions with number lines
    2. Subtracting Fractions using an Area Model
    3. Adding and Subtracting Fractions
    4. Subtracting fractions
    5. Adding and Subtracting Proper Fractions
  5. Multiplying Fractions
    1. Multiplying Fractions
    2. Multiplying Fractions
    3. M6 Multiplying fractions A
    4. Copy of Multiplying Fractions
    5. Multiplying Fractions: Array model activity
  6. Dividing Fractions
    1. Dividing fractions
    2. 7.NS.2 - Dividing Positive Fractions
    3. Pizzas, Kids, Divisions and Fractions
    4. Fraction Division Problems with Bar Models
    5. Dividing Fractions Justification
  7. Denseness of Fractions
    1. Comparing Fractions
    2. Comparing fractions using number lines and circles
    3. Fractions on a numberline

1.

Models of Rational Numbers

  • 1. Rational Numbers on a Numberline
  • 2. Real Number Classification - Introduction
  • 3. Rational numbers between two integers

1.1.

Rational Numbers on a Numberline

Drag each point to its proper place on the number line. Use your observations in order to answer the questions below the applet.
Plotting Rational Numbers on the number line (guidelines)
[list][*]Divide each unit into the number of parts given by the denominator.[/*][*]Look for the number of tick marks given by the numerator.[/*][/list]
Ranking rational numbers on the number line (guidelines)
[list][*]Find the least common multiple (lcm) of the denominators.[/*][*]Find equivalent fractions to the originals with the same common denominator.[/*][*]Rank from least to highest, according to the new numerators.[/*][/list]
Formative assessment
Use the following applet to practice locating and ranking rational numbers on the number line.
Andre says that [math]\frac{1}{4}[/math] is less than -[math]\frac{3}{4}[/math] because, of the two numbers, [math]\frac{1}{4}[/math] is closer to 0. Do you agree? Explain your reasoning.
Which number is greater?
Which number is farther from 0?
Which number is greater?
Which number is farther from 0?
Is the number that is farther from 0 always the greater number? Explain your reasoning.
– Omar G. Monteagudo, GeoGebra Team, IM 6 - 8 Math

1.2.

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1.3.

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2.

Fraction Equivalence, Ordering, and Simplifying

  • 1. Equivalent fractions
  • 2. Ordering Fractions
  • 3. Simplifying Fractions
  • 4. Equivalent fractions with area
  • 5. Simplifying fractions

2.1.

Equivalent fractions

Find the equivalent fractions.
– Prashanthi Rao

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 Fractions

  • 1. The butterfly effect for adding fractions
  • 2. Adding Fractions with Diagrams
  • 3. Adding Fractions Scored Practice
  • 4. Adding Fractions
  • 5. Adding Fractions - Visual

3.1.

The butterfly effect for adding fractions

– Daniel Mentrard

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.

Subtracting Fractions

  • 1. Subtracting fractions with number lines
  • 2. Subtracting Fractions using an Area Model
  • 3. Adding and Subtracting Fractions
  • 4. Subtracting fractions
  • 5. Adding and Subtracting Proper Fractions

4.1.

Subtracting fractions with number lines

Use fractions on a number line to develop an understanding for how to subtract fractions.
Subtracting fractions with number lines
– Mathguru, Duane Habecker

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.

Multiplying Fractions

  • 1. Multiplying Fractions
  • 2. Multiplying Fractions
  • 3. M6 Multiplying fractions A
  • 4. Copy of Multiplying Fractions
  • 5. Multiplying Fractions: Array model activity

5.1.

Multiplying Fractions

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

5.2.

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5.3.

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5.4.

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5.5.

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6.

Dividing Fractions

  • 1. Dividing fractions
  • 2. 7.NS.2 - Dividing Positive Fractions
  • 3. Pizzas, Kids, Divisions and Fractions
  • 4. Fraction Division Problems with Bar Models
  • 5. Dividing Fractions Justification

6.1.

Dividing fractions

– Juli Jurado i Llamas

6.2.

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6.3.

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6.4.

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6.5.

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7.

Denseness of Fractions

  • 1. Comparing Fractions
  • 2. Comparing fractions using number lines and circles
  • 3. Fractions on a numberline

7.1.

Comparing Fractions

Use the silders to change the fractions, their positions are shown on the number line.
Comparing Fractions
Use to answer the questions and try to work out what the white dots represent![br]Created by Dr GJ Daniels.
– Gareth Daniels

7.2.

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7.3.

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