Ms. Wilkinson's Classroom

Madison, Oct 17, 2024

Fractions

Table of Contents

  1. Factors & Multiples
    1. Factors and Multiples
    2. Prime Factors
    3. What is a Multiple?
  2. Addition
    1. Adding Fractions with Diagrams
    2. Adding Fractions Scored Practice
    3. Adding fractions on a number line
  3. Subtraction
    1. Subtracting fractions with number lines
    2. Subtracting fractions
    3. Adding and Subtracting Fractions
  4. Multiplication
    1. Multiplication of Fractions
    2. Area Model: Multiplying Fractions
    3. Fraction Multiplication
  5. Division
    1. Dividing Fractions
    2. Dividing Fractions Using Visual Models
    3. Dividing fractions
  6. Fraction Models
    1. Fraction Models
    2. Area Models for Improper Fractions
    3. Comparing Fractions using Models
  7. Denseness
    1. Fractions on a numberline
    2. Fraction Between Two Fractions
    3. Fractions on a number-line
  8. Equivalence
    1. Equivalent Fractions
    2. Equivalent Fractions Activity
    3. Equivalent Fractions Number Line
  9. Ordering
    1. Ordering Fractions
    2. Comparing Fractions
    3. Exploring the Ordering of Fractions
  10. Simplifying
    1. Simplifying Fractions
    2. Simplifying Fractions
    3. Simplifying Improper Fractions

1.

Factors & Multiples

  • 1. Factors and Multiples
  • 2. Prime Factors
  • 3. What is a Multiple?

1.1.

Factors and Multiples

Below is an applet to help with identifying factors and multiples. There also follow a set of questions; you can use the applet to help you.
1)
How many numbers between 1 and 20 have 3 as a factor?
2)
Which number has 1 factor?
3)
Which of the following are multiples of 10?
4)
A number between 10 and 19 has an odd number of factors. Which number is it?
5)
Identify the relationship between factors and multiples.
6)
You have been told that 143 = 11 × 13. Which of the following are true?
– Carl Roberts

1.2.

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1.3.

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2.

Addition

  • 1. Adding Fractions with Diagrams
  • 2. Adding Fractions Scored Practice
  • 3. Adding fractions on a number line

2.1.

Adding Fractions with Diagrams

Adding Fractions with Diagrams
– Anthony Dove, amandataylor822

2.2.

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2.3.

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3.

Subtraction

  • 1. Subtracting fractions with number lines
  • 2. Subtracting fractions
  • 3. Adding and Subtracting Fractions

3.1.

Subtracting fractions with number lines

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

3.2.

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3.3.

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4.

Multiplication

  • 1. Multiplication of Fractions
  • 2. Area Model: Multiplying Fractions
  • 3. Fraction Multiplication

4.1.

Multiplication of Fractions

Multiplication of Fractions
– Stephen Jull, Ethan Hall, Christopher RIchards

4.2.

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4.3.

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5.

Division

  • 1. Dividing Fractions
  • 2. Dividing Fractions Using Visual Models
  • 3. Dividing fractions

5.1.

Dividing Fractions

[url=https://danpearcy.com/2021/11/05/prompt-36-dividing-fractions/]Dan Pearcy Website[br][/url]Inspiration [url=https://danpearcy.com/2021/11/05/prompt-36-dividing-fractions/]https://danpearcy.com/2021/11/05/prompt-36-dividing-fractions/[/url]
– Auston B Cron

5.2.

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5.3.

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6.

Fraction Models

  • 1. Fraction Models
  • 2. Area Models for Improper Fractions
  • 3. Comparing Fractions using Models

6.1.

Fraction Models

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

6.2.

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6.3.

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7.

Denseness

  • 1. Fractions on a numberline
  • 2. Fraction Between Two Fractions
  • 3. Fractions on a number-line

7.1.

Fractions on a numberline

Use this app to develop an understanding of how and where fractions exist on a number line. Students will begin to learn the relationship between improper fractions and mixed numbers.
– Duane Habecker

7.2.

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7.3.

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8.

Equivalence

  • 1. Equivalent Fractions
  • 2. Equivalent Fractions Activity
  • 3. Equivalent Fractions Number Line

8.1.

Equivalent Fractions

Experiment with manipulating the [color=#1551b5]blue sliders[/color] to change the left hand fraction.[br]Use the [color=#0a971e]green sliders[/color] to perform an operation on the numerator and/or the denominator.[br]Use the verify slider to test equivalence.
What happens if you multiply or divide the numerator and denominator by the same value?[br]What happens if you add or subtract the same value to the numerator and the denominator? [br]Can you explain why?
– Neil

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9.

Ordering

  • 1. Ordering Fractions
  • 2. Comparing Fractions
  • 3. Exploring the Ordering of Fractions

9.1.

Ordering Fractions

Use this sketch to compare the sizes of fractions. Can you find equivalent fractions so that each fraction has the same denominator? This should make ordering them easy!
Use this sketch to compare the sizes of fractions. Can you find equivalent fractions so that each fraction has the same denominator? This should make ordering them easy!
Ordering Fractions
Ordering Fractions
Source Neil Dickson [url=https://tube.geogebra.org/material/simple/id/1792799]Ordering Fractions[/url]
Source Neil Dickson [url=https://tube.geogebra.org/material/simple/id/1792799]Ordering Fractions[/url]
– Auston B Cron, Neil

9.2.

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9.3.

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10.

Simplifying

  • 1. Simplifying Fractions
  • 2. Simplifying Fractions
  • 3. Simplifying Improper Fractions

10.1.

Simplifying Fractions

How to use the sliders to help simplify a fraction.
1. Click and drag the blue sliders on the left to the numerator and denominator of the (non-simplified) fraction you are given.[br]2. Find the GCF (greatest common factor of this numerator and denominator. If the GCF is 1, you are done. 3. If the GCF is greater than 1, divide the numerator by the GCF - the result is the "new" numerator. [br]4. Divide the denominator by the GCF - the result is the "new" denominator. [br]5. Click and drag the purple sliders on the right to the new numerator and new denominator.[br]6. Finally, click and drag the handle (the red point) to overlap the two squares to see if they match.
Definition: A fraction is simplified if the numerator and denominator have no common factors.
1. Simplify [math]\frac{9}{15}[/math][br]a) The square on the left illustrates [math]\frac{9}{15}[/math] (9 sections out of 15 are shaded blue).[br]b) Find the GCF of 9 and 15 to simplify [math]\frac{9}{15}[/math]. [br]c) Adjust the purple sliders for the numerator and denominator to create the simplified fraction for [math]\frac{9}{15}[/math].[br]d) Use the handle (red point) to drag the purple square on top of the blue square. If the shaded portions completely overlap, then you have simplified the fraction correctly.
2. Simplify [math]\frac{5}{20}[/math][br]a) Drag the blue sliders to illustrate the fraction [math]\frac{5}{20}[/math]. (5 sections out of 20 should be shaded)[br]b) Find the GCF of 9 and 15 to simplify [math]\frac{5}{20}[/math]. [br]c) Adjust the purple sliders for the numerator and denominator to create the simplified fraction for [math]\frac{5}{20}[/math].[br]d) Use the handle (red point) to drag the purple square on top of the blue square. If the shaded portions completely overlap, then you have simplified the fraction correctly.[br][br][br]3. Simplify [math]\frac{3}{8}[/math][br]a) Move the purple square back to its starting position or click on reset.[br]b) Drag the blue sliders to illustrate the fraction [math]\frac{3}{8}[/math][br]c) Find the GCF of 3 and 8. Can you simplify [math]\frac{3}{8}[/math]?[br]
What is the simplified fraction for [math]\frac{9}{15}[/math]? Use the [math]\pi[/math] button to bring up the math keyboard. Use the division sign to type in your fraction answer. Example: 1 [math]\div[/math] 2 will show [math]\frac{1}{2}[/math].
What is the simplified fraction for [math]\frac{5}{20}[/math]? Use the [math]\pi[/math] button to bring up the math keyboard. Use the division sign to type in your fraction answer. Example: 1 [math]\div[/math] 2 will show as [math]\frac{1}{2}[/math]
Can [math]\frac{3}{8}[/math] be simplified? Explain.
– Jennifer Mallory, Brandon, Linda Fahlberg-Stojanovska

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Information