Illustrative Math Alignment: Grade 6 Unit 1
Dividing Fractions
Lesson 16: Solving Problems Involving Fractions
Use the following Media4Math resources with this Illustrative Math lesson.
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Interactive Math Game: Math Riddles--Equivalent Fractions | Interactive Math Game: Math Riddles—Equivalent Fractions
In this Math Riddles Game, have your students review vocabulary around the topic of equivalent fractions. The Math Riddles games are useful for practicing: Math Vocabulary, Key Concepts, Critical Thinking. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
Find Equivalent Fractions |
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Definition--Closure Property Topics--Fractions and Closure: Addition | Fractions and Closure: AdditionTopicMath Properties DefinitionThe closure property for addition of fractions states that the sum of any two fractions is always another fraction. DescriptionThe closure property for addition of fractions is a fundamental concept in mathematics that demonstrates the consistency and completeness of the fraction number system. This property ensures that when we add any two fractions, the result is always another fraction, keeping us within the same number system. |
Numerical Expressions |
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Definition--Closure Property Topics--Fractions and Closure: Subtraction | Fractions and Closure: SubtractionTopicMath Properties DefinitionThe closure property for subtraction of fractions states that the difference between any two fractions is always another fraction. DescriptionThe closure property for subtraction of fractions is a fundamental concept in mathematics that demonstrates the consistency and completeness of the fraction number system. This property ensures that when we subtract one fraction from another, the result is always another fraction, keeping us within the same number system. |
Numerical Expressions |
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Definition--Closure Property Topics--Fractions and Closure: Multiplication | Fractions and Closure: MultiplicationTopicMath Properties DefinitionThe closure property for multiplication of fractions states that the product of any two fractions is always another fraction. DescriptionThe closure property for multiplication of fractions is a fundamental concept in mathematics that illustrates the consistency and completeness of the fraction number system. This property ensures that when we multiply any two fractions, the result is always another fraction, keeping us within the same number system. |
Numerical Expressions |
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Definition--Closure Property Topics--Fractions and Closure: Division | Fractions and Closure: DivisionTopicMath Properties DefinitionThe closure property for division of fractions states that the quotient of any two fractions (where the divisor is not zero) is always another fraction. DescriptionThe closure property for division of fractions is a crucial concept in mathematics that demonstrates the robustness of the fraction number system. This property ensures that when we divide one fraction by another (non-zero) fraction, the result is always another fraction, keeping us within the same number system. |
Numerical Expressions |
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Definition--Fraction Concepts--Ordering Fractions | Ordering FractionsTopicFractions DefinitionOrdering fractions is the process of arranging fractions in ascending or descending order based on their numerical values. |
Compare and Order Fractions |
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Definition--Fraction Concepts--Ordering Fractions | Ordering FractionsTopicFractions DefinitionOrdering fractions is the process of arranging fractions in ascending or descending order based on their numerical values. |
Compare and Order Fractions |
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Definition--Fraction Concepts--Ordering Fractions | Ordering FractionsTopicFractions DefinitionOrdering fractions is the process of arranging fractions in ascending or descending order based on their numerical values. |
Compare and Order Fractions |
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Definition--Fraction Concepts--Comparing Fractions | Comparing FractionsTopicFractions DefinitionComparing fractions involves determining which of two fractions is greater, or if they are equal, by considering their numerators and denominators. |
Compare and Order Fractions |
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Definition--Fraction Concepts--Comparing Fractions | Comparing FractionsTopicFractions DefinitionComparing fractions involves determining which of two fractions is greater, or if they are equal, by considering their numerators and denominators. |
Compare and Order Fractions |
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Definition--Fraction Concepts--Benchmark Fraction | Benchmark FractionTopicFraction Concepts DefinitionA benchmark fraction is a common fraction that you can use to estimate and compare other fractions. DescriptionBenchmark fractions play a crucial role in developing fraction sense and estimation skills. These are well-known fractions that serve as reference points for comparing and estimating other fractions. The most commonly used benchmark fractions are 0, 1/4, 1/2, 3/4, and 1. Understanding and utilizing benchmark fractions helps students develop a better intuition for fraction sizes and relationships. |
Compare and Order Fractions |
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Definition--Fraction Concepts--Benchmark Fraction | Benchmark FractionTopicFraction Concepts DefinitionA benchmark fraction is a common fraction that you can use to estimate and compare other fractions. DescriptionBenchmark fractions play a crucial role in developing fraction sense and estimation skills. These are well-known fractions that serve as reference points for comparing and estimating other fractions. The most commonly used benchmark fractions are 0, 1/4, 1/2, 3/4, and 1. Understanding and utilizing benchmark fractions helps students develop a better intuition for fraction sizes and relationships. |
Compare and Order Fractions |
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INSTRUCTIONAL RESOURCE: Tutorial: Simplifying Fractions Using Number Lines | INSTRUCTIONAL RESOURCE: Tutorial: Simplifying Fractions Using Number Lines
In this tutorial students are shown how to use number lines to not only find equivalent fractions but also to write fractions in simplest form. This is part of a collection of tutorials on a variety of math topics. To see the complete collection of these resources, click on this link. Note: The download is a PPT file.< Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Write Fractions in Lowest Terms |
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INSTRUCTIONAL RESOURCE: Tutorial: Simplifying Fractions Using Number Lines | INSTRUCTIONAL RESOURCE: Tutorial: Simplifying Fractions Using Number Lines
In this tutorial students are shown how to use number lines to not only find equivalent fractions but also to write fractions in simplest form. This is part of a collection of tutorials on a variety of math topics. To see the complete collection of these resources, click on this link. Note: The download is a PPT file.< Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Write Fractions in Lowest Terms |
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INSTRUCTIONAL RESOURCE: Tutorial: Simplifying Fractions Using the GCF | INSTRUCTIONAL RESOURCE: Tutorial: Simplifying Fractions Using the GCF
In this tutorial students are shown how to find the GCF of the numerator and denominator and how to use it to simplify a fraction. Note: The download is a PDF version of this tutorial. This is part of a collection of math tutorials on a variety of math topics. To see the complete collection of these resources, click on this link.Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Find Greatest Common Factors and Write Fractions in Lowest Terms |
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INSTRUCTIONAL RESOURCE: Tutorial: Simplifying Fractions Using the GCF | INSTRUCTIONAL RESOURCE: Tutorial: Simplifying Fractions Using the GCF
In this tutorial students are shown how to find the GCF of the numerator and denominator and how to use it to simplify a fraction. Note: The download is a PDF version of this tutorial. This is part of a collection of math tutorials on a variety of math topics. To see the complete collection of these resources, click on this link.Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Find Greatest Common Factors and Write Fractions in Lowest Terms |
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Worksheet: Simplifying Fractions Using the GCF | Worksheet: Simplifying Fractions Using the GCF In this worksheet students practice the skill of simplifying fractions by finding the GCF of the numerator and denominator. This is a companion to a tutorial on the same topic. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Find Greatest Common Factors and Write Fractions in Lowest Terms |
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Worksheet: Simplifying Fractions Using the GCF | Worksheet: Simplifying Fractions Using the GCF In this worksheet students practice the skill of simplifying fractions by finding the GCF of the numerator and denominator. This is a companion to a tutorial on the same topic. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Find Greatest Common Factors and Write Fractions in Lowest Terms |
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Interactive Math Game: Fractions: Pizza War! | Description
Have your students practice their fraction-comparison skills with this engaging card game. This is the interactive version of the card game also available on Media4Math Library. Note: The download is a PDF file. Media4Math subscribers are licensed to download all resources. |
Compare and Order Fractions |
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Interactive Math Game: Fractions: Pizza War! | Description
Have your students practice their fraction-comparison skills with this engaging card game. This is the interactive version of the card game also available on Media4Math Library. Note: The download is a PDF file. Media4Math subscribers are licensed to download all resources. |
Compare and Order Fractions |
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Interactive Math Game: Fractions: Pizza War! | Description
Have your students practice their fraction-comparison skills with this engaging card game. This is the interactive version of the card game also available on Media4Math Library. Note: The download is a PDF file. Media4Math subscribers are licensed to download all resources. |
Compare and Order Fractions |
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Worksheet: Ordering Fractions | Worksheet: Ordering Fractions
In this worksheet, students order fractions from least to greatest or vice-versa. Fractions have denominators in the range 2, 3, 4, 5, 6, 8, 10, 12, 15, 18, 20. All fractions compared are less than 1. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Compare and Order Fractions |
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Worksheet: Comparing Fractions | Worksheet: Comparing Fractions
This is part of a collection of math worksheets on the topic of comparing numerical amounts. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Compare and Order Fractions |
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Worksheet: Comparing Fractions | Worksheet: Comparing Fractions
This is part of a collection of math worksheets on the topic of comparing numerical amounts. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Compare and Order Fractions |
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INSTRUCTIONAL RESOURCE: Tutorial: Strategies for Ordering Fractions | INSTRUCTIONAL RESOURCE: Tutorial: Strategies for Ordering Fractions
Learn various strategies for ordering fractions. These strategies include benchmark fractions, number lines, and equivalent fractions. Note: The download is a PDF file. This is part of a collection of math tutorials on a variety of math topics. To see the complete collection of these resources, click on this link.Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Compare and Order Fractions and Find Equivalent Fractions |
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INSTRUCTIONAL RESOURCE: Tutorial: Strategies for Ordering Fractions | INSTRUCTIONAL RESOURCE: Tutorial: Strategies for Ordering Fractions
Learn various strategies for ordering fractions. These strategies include benchmark fractions, number lines, and equivalent fractions. Note: The download is a PDF file. This is part of a collection of math tutorials on a variety of math topics. To see the complete collection of these resources, click on this link.Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Compare and Order Fractions and Find Equivalent Fractions |
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INSTRUCTIONAL RESOURCE: Tutorial: Comparing Fractions Using Equivalent Fractions | INSTRUCTIONAL RESOURCE: Tutorial: Comparing Fractions Using Equivalent Fractions
Learn how to compare fractions by generating equivalent fractions. Different cases are analyzed and study tips are provided. Note: The download is a PDF file. Only Media4Math subscribers can download resources. This is part of a collection of math tutorials on a variety of math topics. To see the complete collection of these resources, click on this link.Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Compare and Order Fractions and Find Equivalent Fractions |
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INSTRUCTIONAL RESOURCE: Tutorial: Comparing Fractions Using Equivalent Fractions | INSTRUCTIONAL RESOURCE: Tutorial: Comparing Fractions Using Equivalent Fractions
Learn how to compare fractions by generating equivalent fractions. Different cases are analyzed and study tips are provided. Note: The download is a PDF file. Only Media4Math subscribers can download resources. This is part of a collection of math tutorials on a variety of math topics. To see the complete collection of these resources, click on this link.Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Compare and Order Fractions and Find Equivalent Fractions |
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Fractions Math Game: Pizza War! | Fractions Math Game: Pizza War!
Have your students practice their fraction-comparison skills with this engaging card game. The downloadable guide includes all the parts needed to play the game. The cards are optimized for printout as Avery labels. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
Compare and Order Fractions |
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Fractions Math Game: Pizza War! | Fractions Math Game: Pizza War!
Have your students practice their fraction-comparison skills with this engaging card game. The downloadable guide includes all the parts needed to play the game. The cards are optimized for printout as Avery labels. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
Compare and Order Fractions |
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Fractions Math Game: Pizza War! | Fractions Math Game: Pizza War!
Have your students practice their fraction-comparison skills with this engaging card game. The downloadable guide includes all the parts needed to play the game. The cards are optimized for printout as Avery labels. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
Compare and Order Fractions |
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Fractions Math Game: Pizza War! | Fractions Math Game: Pizza War!
Have your students practice their fraction-comparison skills with this engaging card game. The downloadable guide includes all the parts needed to play the game. The cards are optimized for printout as Avery labels. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
Compare and Order Fractions |
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Worksheet: Comparing Fractions Indirectly | Worksheet: Comparing Fractions Indirectly
This is part of a collection of math worksheets on the topic of comparing numerical amounts. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Compare and Order Fractions |
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Worksheet: Comparing Fractions Indirectly | Worksheet: Comparing Fractions Indirectly
This is part of a collection of math worksheets on the topic of comparing numerical amounts. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Compare and Order Fractions |
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INSTRUCTIONAL RESOURCE: Tutorial: Comparing Fractions Indirectly | INSTRUCTIONAL RESOURCE: Tutorial: Comparing Fractions Indirectly
Learn how to compare fractions by comparing them to a benchmark fraction. Number lines are also used to indicate benchmark fractions and the fractions being compared. Note: The download is a PDF file. Only Media4Math subscribers can download resources. This is part of a collection of math tutorials on a variety of math topics. To see the complete collection of these resources, click on this link.Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Compare and Order Fractions |
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INSTRUCTIONAL RESOURCE: Tutorial: Comparing Fractions Indirectly | INSTRUCTIONAL RESOURCE: Tutorial: Comparing Fractions Indirectly
Learn how to compare fractions by comparing them to a benchmark fraction. Number lines are also used to indicate benchmark fractions and the fractions being compared. Note: The download is a PDF file. Only Media4Math subscribers can download resources. This is part of a collection of math tutorials on a variety of math topics. To see the complete collection of these resources, click on this link.Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Compare and Order Fractions |
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INSTRUCTIONAL RESOURCE: Tutorial: Generating Equivalent Fractions Mathematically | INSTRUCTIONAL RESOURCE: Tutorial: Generating Equivalent Fractions Mathematically
Learn how to generate equivalent fractions computationally. Note: The download is a PDF file. This is part of a collection of math tutorials on a variety of math topics. To see the complete collection of these resources, click on this link.Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Find Equivalent Fractions |
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INSTRUCTIONAL RESOURCE: Tutorial: Generating Equivalent Fractions Visually | INSTRUCTIONAL RESOURCE: Tutorial: Generating Equivalent Fractions Visually
Learn how to generative equivalent fractions using visual tools. Note: The download is a PDF file. This is part of a collection of math tutorials on a variety of math topics. To see the complete collection of these resources, click on this link.Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Find Equivalent Fractions |
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INSTRUCTIONAL RESOURCE: Tutorial: Visual Models of Equivalent Fractions | INSTRUCTIONAL RESOURCE: Tutorial: Visual Models of Equivalent Fractions
Learn how to model equivalent fractions using visual tools. Note: The download is a PDF file. This is part of a collection of math tutorials on a variety of math topics. To see the complete collection of these resources, click on this link.Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Find Equivalent Fractions |
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INSTRUCTIONAL RESOURCE: Tutorial: What Is an Equivalent Fraction? | INSTRUCTIONAL RESOURCE: Tutorial: What Is an Equivalent Fraction?
Learn the basics of equivalent fractions. Students look at visual models of equivalent fractions. Students are also shown how to determine if any two given fractions are equivalent. Note: The download is a PDF file. This is part of a collection of math tutorials on a variety of math topics. To see the complete collection of these resources, click on this link.Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Find Equivalent Fractions |
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Math Example--Fraction Properties--Comparing Fractions on a Number Line--Example 7 | Comparing Fractions on a Number Line--Example 7TopicComparing Fractions DescriptionThis math example demonstrates comparing fractions using a number line. By placing fractions on a number line, students can visualize their relative sizes and easily compare them. The exercise focuses on skills such as recognizing equivalent fractions, ordering fractions, and interpreting visual data. This method reinforces the understanding of fraction magnitude and aids in developing number sense, making it easier for students to compare fractions accurately. |
Compare and Order Fractions |
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Math Example--Fraction Properties--Comparing Fractions on a Number Line--Example 6 | Comparing Fractions on a Number Line--Example 6TopicComparing Fractions DescriptionThis example illustrates the concept of comparing fractions using a number line. The visual representation of fractions on a number line helps students understand their relative sizes. Students will practice placing fractions on a number line and comparing them to determine which is larger or smaller. This exercise develops skills in fraction equivalence, ordering, and visual interpretation. By seeing fractions as points on a line, students can better grasp their comparative values and improve their ability to compare fractions effectively. |
Compare and Order Fractions |
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Math Example--Fraction Properties--Comparing Fractions on a Number Line--Example 1 | Comparing Fractions on a Number Line--Example 1TopicComparing Fractions |
Compare and Order Fractions |
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Math Example--Fraction Properties--Comparing Fractions on a Number Line--Example 3 | Comparing Fractions on a Number Line--Example 3TopicComparing Fractions DescriptionThis example illustrates comparing fractions by positioning them on a number line. The exercise helps students visualize fractions as points on a line, making it easier to compare their sizes. Students will learn to identify fractions and place them accurately on a number line, enhancing their understanding of fraction size and order. Key skills include recognizing equivalent fractions, ordering fractions, and using visual aids to assess numerical relationships. This approach aids in developing a strong conceptual understanding of fractions and their comparative values. |
Compare and Order Fractions |
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Math Example--Fraction Properties--Comparing Fractions on a Number Line--Example 2 | Comparing Fractions on a Number Line--Example 2TopicComparing Fractions |
Compare and Order Fractions |
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Math Example--Fraction Properties--Comparing Fractions on a Number Line--Example 4 | Comparing Fractions on a Number Line--Example 4TopicComparing Fractions DescriptionThis example focuses on comparing fractions using a number line, a method that provides a clear visual representation of fraction sizes. Students will place fractions on a number line and compare their positions to determine which is larger or smaller. This exercise develops skills in fraction equivalence, ordering, and visual interpretation. By seeing fractions as points on a line, students can better understand their relative sizes and improve their ability to compare fractions effectively. |
Compare and Order Fractions |
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Math Example--Fraction Properties--Comparing Fractions on a Number Line--Example 5 | Comparing Fractions on a Number Line--Example 5TopicComparing Fractions DescriptionThis math example uses a number line to compare fractions, helping students visualize and understand fraction sizes. By placing fractions on a number line, students can easily compare their values and determine which is greater or lesser. The activity focuses on skills such as recognizing equivalent fractions, ordering fractions, and interpreting visual data. This approach reinforces the understanding of fraction magnitude and aids in developing number sense, making it easier for students to compare fractions accurately. |
Compare and Order Fractions |
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Worksheet: Comparing Unit Fractions | Worksheet: Comparing Unit Fractions
This is part of a collection of math worksheets on the topic of comparing numerical amounts. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Compare and Order Fractions |
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Worksheet: Comparing Unit Fractions | Worksheet: Comparing Unit Fractions
This is part of a collection of math worksheets on the topic of comparing numerical amounts. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Compare and Order Fractions |
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INSTRUCTIONAL RESOURCE: Tutorial: Comparing Unit Fractions | INSTRUCTIONAL RESOURCE: Tutorial: Comparing Unit Fractions
Learn how to compare unit fractions. Some simple techniques are developed to compare such fractions. Then students look at other fractions as sums of unit fractions and apply this comparison technique with those fractions. Note: The download is a PDF file. Only Media4Math subscribers can download resources. This is part of a collection of math tutorials on a variety of math topics. To see the complete collection of these resources, click on this link.Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Compare and Order Fractions |
