Rational Numbers- Brock

Mairead Brock, Oct 17, 2024

Rational numbers and fractions for K-6

Table of Contents

  1. Comparing Fractions (Equivalence and Ordering)
    1. Comparing Fractions using Models
    2. Comparing fractions using number lines and circles
    3. Comparing Fractions with Unlike Denominators Using Models
    4. Equivalent fractions
    5. Ordering Fractions
    6. Equivalent Fractions (Among Us)
  2. Fractions: Addition and Subtraction
    1. Adding fractions on a number line
    2. Subtracting fractions with number lines
    3. Adding Fractions with Diagrams
    4. Fraction Addition/Subtraction - Common Denominators
    5. Adding fractions with unlike denominators
    6. Adding fractions with like denominators
  3. Fractions: Division and Multiplication
    1. Multiply Fractions
    2. Dividing Fractions
    3. Multiplying Fractions
    4. Dividing Fractions
    5. Multiplying and Dividing Proper Fractions
  4. Factors
    1. Factors,Prime numbers and Composite numbers
    2. Making Prime Factorization Trees
  5. Fractions: Models
    1. Copy of Fraction Models
    2. Multiple Models for Proper Fractions – 2 Fractions
    3. equivalent proper fractions
    4. Visualize Equivalent Proper Fractions
    5. Area Models for Improper Fractions
  6. Fractions: Denseness
    1. Fractions more or less 1/4 or 1/2 or 3/4
    2. Fraction Between Two Fractions
  7. Multiples
    1. Exploring Multiples in a Hundreds Grid
    2. What is a Multiple?
    3. Multiples of two numbers
    4. Multiples Jump Three Blank Circles

1.

Comparing Fractions (Equivalence and Ordering)

  • 1. Comparing Fractions using Models
  • 2. Comparing fractions using number lines and circles
  • 3. Comparing Fractions with Unlike Denominators Using Models
  • 4. Equivalent fractions
  • 5. Ordering Fractions
  • 6. Equivalent Fractions (Among Us)

1.1.

Comparing Fractions using Models

Compare these fractions.
[size=200]I[/size][size=150][size=200]s the fraction on the left greater than >, less than <, or equal to = the one on the right? [br][br]How do you know? (hint - use the sliders on the right to slide the parts of the circle on top of the other circle). [br][/size][br][size=200]Compare the fractions using the correct symbol (>, < or =).[/size][/size]
What do you notice about the denominators of these fractions?
[size=150][size=200]When fractions have the same denominator, does a larger numerator make the fraction greater than > or less than < the other one?[br][br]Is the fraction on the left greater than > or less than < the one on the right?[br][br]Compare the fractions using the correct symbol (>, < or =).[/size][/size]
What do you notice about the numerators of these fractions?
[size=200]When fractions have the same numerator, does a larger denominator make the fraction larger or smaller than the other one?[br][br][/size][size=200]Which fraction is larger, the one on the left or the one on the right?[/size]
Compare these two fractions
[size=200]Which fraction is larger? Compare the fractions using the correct symbol (>, < or =).[br][br]How would you know which is larger if you did not use the images? [/size]
– Jennifer Mallory, Trish Samuels, Tim Brzezinski, Adrián Martín

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1.5.

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1.6.

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2.

Fractions: Addition and Subtraction

  • 1. Adding fractions on a number line
  • 2. Subtracting fractions with number lines
  • 3. Adding Fractions with Diagrams
  • 4. Fraction Addition/Subtraction - Common Denominators
  • 5. Adding fractions with unlike denominators
  • 6. Adding fractions with like denominators

2.1.

Adding fractions on a number line

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

2.2.

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2.6.

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3.

Fractions: Division and Multiplication

  • 1. Multiply Fractions
  • 2. Dividing Fractions
  • 3. Multiplying Fractions
  • 4. Dividing Fractions
  • 5. Multiplying and Dividing Proper Fractions

3.1.

Multiply Fractions

Multiply the Fractions.[br][br]Press on "Hint" to get help.
– Samantha Garcia

3.2.

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3.4.

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3.5.

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4.

Factors

  • 1. Factors,Prime numbers and Composite numbers
  • 2. Making Prime Factorization Trees

4.1.

Factors,Prime numbers and Composite numbers

To find factors of numbers
– R.PRASADA REDDY

4.2.

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5.

Fractions: Models

  • 1. Copy of Fraction Models
  • 2. Multiple Models for Proper Fractions – 2 Fractions
  • 3. equivalent proper fractions
  • 4. Visualize Equivalent Proper Fractions
  • 5. Area Models for Improper Fractions

5.1.

Copy of Fraction Models

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

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5.5.

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6.

Fractions: Denseness

  • 1. Fractions more or less 1/4 or 1/2 or 3/4
  • 2. Fraction Between Two Fractions

6.1.

Fractions more or less 1/4 or 1/2 or 3/4

In this set of cards there are [br]three cards between 0 and 0.25; [br]one card equal to 0.25; [br]three cards between 0.25 and 0.5; [br]one equal to 0.5; [br]three cards between 0.5 and 0.75;[br]one equal to 0.75;[br]three cards between 0.75 and 1;[br]one card equal to 1.[br][br]Reload to get a new set.[br][br]This page is presented least to greatest. Designed to be printed, cut up and shuffled.
– Lee W Fisher

6.2.

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7.

Multiples

  • 1. Exploring Multiples in a Hundreds Grid
  • 2. What is a Multiple?
  • 3. Multiples of two numbers
  • 4. Multiples Jump Three Blank Circles

7.1.

Exploring Multiples in a Hundreds Grid

Discover patterns in multiples of different numbers in this hundreds grid activity.
Putting It All Together
[i]Answer these open ended questions on your own or with others to form deeper math connections.[/i]
Describe the patterns you see when exploring multiples of 5. 
Choose a number that has multiples that make an interesting pattern.  What makes the pattern interesting to you?
– GeoGebra Content Team

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7.4.

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