Standard #: MAFS.4.NF.1.1 (Archived Standard)

Students scale number lines to locate given fractions, find equivalent fractions, and explain the relationship between equivalent fractions.

Students use a number line to explain that one-half is equivalent to two-fourths.

Students draw a visual fraction model to determine whether two fractions are equivalent.

Students partition squares to model two fractions and then determine if the fractions are equivalent.

Illustrations that can be used for teaching and demonstrating fractions. Fractional representations are modeled in wedges of circles ("pieces of pie") and parts of polygons. There are also clipart images of numerical fractions, both proper and improper, from halves to twelfths. Fraction charts and fraction strips found in this collection can be used as manipulatives and are ready to print for classroom use.

Students will use the benchmark fraction ½ to estimate and compare fractions and make a connection to achieving a simple majority when voting during this integrated lesson. 

The students follow a scaffold model starting with using concrete models of fractions with the fraction tiles to create equivalent fractions, and then by using prior knowledge of multiples to develop the algorithm for creating equivalent fractions.  The algorithm noted here is based on the identity property of multiplying a fraction times a fraction so you are multiplying by 2/2 or 3/3.  

In this lesson, students will apply their knowledge of identifying and creating equivalent fractions.  The use of tiles allows a visual check of their equivalent fraction creations using parts of a set. 

This  is an application lesson for the students’ knowledge of how to identify or create equivalent fractions. After a review, they are expected to multiply or divide to create equivalent fractions.

This lesson uses paper strips to show equivalent fractions.  It discusses what happens to the denominator and numerator as students learn to multiply to make equivalent fractions. It is part of a series about identifying and creating equivalent fractions. All lessons in the series share the Fraction Land title and are available on CPALMS. 

This lesson provides a conceptual approach to multiplying a fraction times a whole number and a whole number times a fraction.  Students are to use an understanding of the meaning of the denominator and numerator to figure out a strategy for finding the solution. 

Students will identify equivalent fractions to 1/2 using manipulatives and determine what happened to the numerator and denominator when an equivalent fraction was formed.  They will practice this idea by identifying equivalent fractions in a domino game.

This lesson demonstrates the relationships between equivalent fractions and the size of the pieces that represent the fractions. The lesson moves from concrete activities to pictorial representations. The lesson begins by using a pan of brownies to represent equivalent fractions. The brownies will help to engage students as the lesson moves from the concrete to the pictorial representation of equivalent fractions.

Chocolate bars will be used to introduce equivalent fractions. Students will find patterns for equivalent fractions through the concrete-representational-abstract process.

Students will identify equivalent fractions to 1/2 using manipulatives and determine what happened to the numerator and denominator when an equivalent fraction was formed.  They will practice this idea by identifying equivalent fractions in a domino game.

Learn how to create equivalent fractions and visually see how they are equivalent in this interactive tutorial.

This is part 1 of a 2-part series. Click HERE to open Part 2.

Learn how to find equivalent fractions in a multiplication table in this interactive tutorial. 

This is part 2 of a 2 part series. Click HERE to open Part 1. 

The purpose of this task is to provide students with an opportunity to explain fraction equivalence through visual models in a particular example. Students will need more opportunities to think about fraction equivalence with different examples and models, but this task represents a good first step.

The purpose of this task is for students to compare two fractions that arise in a context. Because the fractions are equal, students need to be able to explain how they know that. Some students might stop at the second-to-last picture and note that it looks like they ran the same distance, but the explanation is not yet complete at that point.

This Khan Academy video illustrates that fraction a/b is equivalent to fraction (a x n)/(b x n).

Match shapes and numbers to earn stars in this fractions game.

• Match fractions using numbers and pictures
• make the same fractions using different numbers
• Match fractions in different picture patterns
• Compare fractions using numbers and patterns

This virtual manipulative allows individual students to work with fraction relationships. (There is also a link to a two-player version.)

An interactive tool to represent a fraction circle, rectangle, or set model with numerators and denominators ranging from 1 to 100. The decimal and percent equivalents of the created fraction are also displayed.

Learn how to create equivalent fractions and visually see how they are equivalent in this interactive tutorial.

This is part 1 of a 2-part series. Click HERE to open Part 2.

Learn how to find equivalent fractions in a multiplication table in this interactive tutorial. 

This is part 2 of a 2 part series. Click HERE to open Part 1. 

The purpose of this task is to provide students with an opportunity to explain fraction equivalence through visual models in a particular example. Students will need more opportunities to think about fraction equivalence with different examples and models, but this task represents a good first step.

The purpose of this task is for students to compare two fractions that arise in a context. Because the fractions are equal, students need to be able to explain how they know that. Some students might stop at the second-to-last picture and note that it looks like they ran the same distance, but the explanation is not yet complete at that point.

This Khan Academy video illustrates that fraction a/b is equivalent to fraction (a x n)/(b x n).

Match shapes and numbers to earn stars in this fractions game.

• Match fractions using numbers and pictures
• make the same fractions using different numbers
• Match fractions in different picture patterns
• Compare fractions using numbers and patterns

This virtual manipulative allows individual students to work with fraction relationships. (There is also a link to a two-player version.)

Illustrations that can be used for teaching and demonstrating fractions. Fractional representations are modeled in wedges of circles ("pieces of pie") and parts of polygons. There are also clipart images of numerical fractions, both proper and improper, from halves to twelfths. Fraction charts and fraction strips found in this collection can be used as manipulatives and are ready to print for classroom use.

The purpose of this task is to provide students with an opportunity to explain fraction equivalence through visual models in a particular example. Students will need more opportunities to think about fraction equivalence with different examples and models, but this task represents a good first step.

The purpose of this task is for students to compare two fractions that arise in a context. Because the fractions are equal, students need to be able to explain how they know that. Some students might stop at the second-to-last picture and note that it looks like they ran the same distance, but the explanation is not yet complete at that point.

Match shapes and numbers to earn stars in this fractions game.

• Match fractions using numbers and pictures
• make the same fractions using different numbers
• Match fractions in different picture patterns
• Compare fractions using numbers and patterns