ALEX Lesson Plans
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Title: Fraction Action
Description:
The students will participate in a handsonlesson where they will understand and be able to write equivalent forms of fractions. The students will learn and apply the concept of using fractions in everyday life.
Standard(s): [MA2013] (5) 11: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. [5NF1]
Subject: Mathematics (4  5)
Title: Fraction Action
Description: The students will participate in a handsonlesson where they will understand and be able to write equivalent forms of fractions. The students will learn and apply the concept of using fractions in everyday life.
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Title: Fractions on a Number Line
Description:
As students master the concept of the number line, they may be curious about where fractions would fit on a standard number line. Students will work cooperatively to explore the possibilities where fractions lie on number lines. Students will also work independently to extend and enrich their new knowledge of fractions on number lines.
This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
Standard(s): [MA2013] (4) 12: Explain why a fraction ^{a}/_{b} is equivalent to a fraction ^{nxa}/_{nxb} by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions. [4NF1]
Subject: Mathematics (3  4)
Title: Fractions on a Number Line
Description: As students master the concept of the number line, they may be curious about where fractions would fit on a standard number line. Students will work cooperatively to explore the possibilities where fractions lie on number lines. Students will also work independently to extend and enrich their new knowledge of fractions on number lines.
This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
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Title: Tangram Fractions
Description:
The teacher will engage the class by reading Grandfather Tang. Students will solve a tangram puzzle. Students will find the fractional value for each piece of the tangram. Students will create a picture using the pieces of the tangram. Students will find the fractional value of their partner's tangram picture. This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Standard(s): [MA2013] (5) 11: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. [5NF1]
Subject: Mathematics (3  5)
Title: Tangram Fractions
Description: The teacher will engage the class by reading Grandfather Tang. Students will solve a tangram puzzle. Students will find the fractional value for each piece of the tangram. Students will create a picture using the pieces of the tangram. Students will find the fractional value of their partner's tangram picture. This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Thinkfinity Lesson Plans
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Title: Communicating about Mathematics Using Games
Description:
The mathematical game in this fourlesson unit from Illuminations fosters mathematical communication as students explain and justify their moves to one another. In addition, the game motivates students and engages them in thinking about and applying concepts and skills.
Standard(s): [MA2013] (4) 13: Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators or by comparing to a benchmark fraction such as ^{1}/_{2}. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model. [4NF2]
Subject: Mathematics,Professional Development Title: Communicating about Mathematics Using Games
Description: The mathematical game in this fourlesson unit from Illuminations fosters mathematical communication as students explain and justify their moves to one another. In addition, the game motivates students and engages them in thinking about and applying concepts and skills. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Eggsactly with Eighteen Eggs
Description:
In this lesson, one of a multipart unit from Illuminations, students continue to examine fractions as part of a set. This lesson helps students develop skill in problemsolving and reasoning as they examine relationships among the fractions used to describe part of a set of eighteen.
Standard(s): [MA2013] (4) 12: Explain why a fraction ^{a}/_{b} is equivalent to a fraction ^{nxa}/_{nxb} by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions. [4NF1]
Subject: Mathematics Title: Eggsactly with Eighteen Eggs
Description: In this lesson, one of a multipart unit from Illuminations, students continue to examine fractions as part of a set. This lesson helps students develop skill in problemsolving and reasoning as they examine relationships among the fractions used to describe part of a set of eighteen. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Eggsactly Equivalent
Description:
In this lesson, one of a multipart unit from Illuminations, students use twelve eggs to identify equivalent fractions. Construction paper cutouts are used as a physical model to represent various fractions of the set of eggs. Students investigate relationships among fractions that are equivalent.
Standard(s): [MA2013] (4) 12: Explain why a fraction ^{a}/_{b} is equivalent to a fraction ^{nxa}/_{nxb} by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions. [4NF1]
Subject: Mathematics Title: Eggsactly Equivalent
Description: In this lesson, one of a multipart unit from Illuminations, students use twelve eggs to identify equivalent fractions. Construction paper cutouts are used as a physical model to represent various fractions of the set of eggs. Students investigate relationships among fractions that are equivalent. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Fun with Fractions
Description:
In this sevenlesson unit from Illuminations, students explore relationships among fractions through work with the set model. This early work with fraction relationships helps students make sense of basic fraction concepts and facilitates work with comparing and ordering fractions and working with equivalency.
Standard(s): [MA2013] (5) 11: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. [5NF1]
Subject: Mathematics Title: Fun with Fractions
Description: In this sevenlesson unit from Illuminations, students explore relationships among fractions through work with the set model. This early work with fraction relationships helps students make sense of basic fraction concepts and facilitates work with comparing and ordering fractions and working with equivalency. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Expanding Our Pattern Block Fraction Repertoire
Description:
In this lesson, one of a multipart unit from Illuminations, students expand the number of fractions they can represent with pattern blocks by increasing the whole. Instead of representing the whole with one yellow hexagon, the students explore fractional relationships when two, three, and four yellow hexagons constitute the whole.
Standard(s): [MA2013] (4) 13: Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators or by comparing to a benchmark fraction such as ^{1}/_{2}. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model. [4NF2]
Subject: Mathematics Title: Expanding Our Pattern Block Fraction Repertoire
Description: In this lesson, one of a multipart unit from Illuminations, students expand the number of fractions they can represent with pattern blocks by increasing the whole. Instead of representing the whole with one yellow hexagon, the students explore fractional relationships when two, three, and four yellow hexagons constitute the whole. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Investigating Equivalent Fractions with Relationship Rods
Description:
In this lesson, one of a multipart unit from Illuminations, students investigate the length model by working with relationship rods to find equivalent fractions. Students develop skills in reasoning and problem solving as they explain how two fractions are equivalent (the same length). Relationship rods are wooden or plastic rods in ten different colors, ranging in length from one to ten centimeters.
Standard(s): [MA2013] (5) 12: Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally, and assess the reasonableness of answers. [5NF2]
Subject: Mathematics Title: Investigating Equivalent Fractions with Relationship Rods
Description: In this lesson, one of a multipart unit from Illuminations, students investigate the length model by working with relationship rods to find equivalent fractions. Students develop skills in reasoning and problem solving as they explain how two fractions are equivalent (the same length). Relationship rods are wooden or plastic rods in ten different colors, ranging in length from one to ten centimeters. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: More Fun with Fraction Strips
Description:
In this lesson, one of a multipart unit from Illuminations, students work with fraction strips to compare and order fractions. Building on work done with fraction relationships in a previous lesson, students develop skills in problem solving and reasoning as they make connections between various fractions.
Standard(s): [MA2013] (4) 13: Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators or by comparing to a benchmark fraction such as ^{1}/_{2}. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model. [4NF2]
Subject: Mathematics Title: More Fun with Fraction Strips
Description: In this lesson, one of a multipart unit from Illuminations, students work with fraction strips to compare and order fractions. Building on work done with fraction relationships in a previous lesson, students develop skills in problem solving and reasoning as they make connections between various fractions. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: A Brownie Bake
Description:
This lesson, one of a multipart unit from Illuminations, focuses on student organization, preparation, and presentation of some simple foods as a way to apply various mathematical concepts, with problemsolving techniques being a central theme. Students prepare, after determining minimum amounts of ingredients required, a commercial brownie mix and serve equal portions to all class members.
Standard(s): [MA2013] (5) 12: Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally, and assess the reasonableness of answers. [5NF2]
Subject: Mathematics Title: A Brownie Bake
Description: This lesson, one of a multipart unit from Illuminations, focuses on student organization, preparation, and presentation of some simple foods as a way to apply various mathematical concepts, with problemsolving techniques being a central theme. Students prepare, after determining minimum amounts of ingredients required, a commercial brownie mix and serve equal portions to all class members. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Inch by Inch
Description:
In this lesson, one of a multipart unit from Illuminations, students use an actual ruler to represent various fractions as lengths. This lesson builds on work done in a previous lesson with nonstandard measurement as students use a standard instrument to measure a variety of items. Several pieces of literature appropriate for use with this lesson are suggested.
Standard(s): [MA2013] (5) 19: Make a line plot to display a data set of measurements in fractions of a unit (^{1}/_{2}, ^{1}/_{4}, ^{1}/_{8}).
Use operations on fractions for this grade to solve problems involving information presented in line plots. [5MD2]
Subject: Mathematics Title: Inch by Inch
Description: In this lesson, one of a multipart unit from Illuminations, students use an actual ruler to represent various fractions as lengths. This lesson builds on work done in a previous lesson with nonstandard measurement as students use a standard instrument to measure a variety of items. Several pieces of literature appropriate for use with this lesson are suggested. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Pattern Block Fractions
Description:
In this lesson, one of a multipart unit from Illuminations, students focus on the identification of fractional parts of a region and record them in standard form. Students develop communication skills by working together to express their understanding of fraction relationships and to record fractions in written form.
Standard(s): [MA2013] (4) 12: Explain why a fraction ^{a}/_{b} is equivalent to a fraction ^{nxa}/_{nxb} by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions. [4NF1]
Subject: Mathematics Title: Pattern Block Fractions
Description: In this lesson, one of a multipart unit from Illuminations, students focus on the identification of fractional parts of a region and record them in standard form. Students develop communication skills by working together to express their understanding of fraction relationships and to record fractions in written form. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
ALEX Learning Assets Save to ALEX 
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Title: Interactive Fraction Comparisons
Digital Tool:
Illuminations:Fraction Game Web Address URL:
http://illuminations.nctm.org/ActivityDetail.aspx?ID=18 Standard(s):
[MA2013] (5) 11: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. [5NF1] Digital Tool Description: This interactive game allows students to practice finding equivalent fractions, and adding fractions
Title: Interactive Fraction Comparisons Digital Tool: Illuminations:Fraction Game Digital Tool Description: This interactive game allows students to practice finding equivalent fractions, and adding fractions
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Title: Can Fractions be Equal?
Digital Tool:
Simplifying Fractions Web Address URL:
http://illuminations.nctm.org/ActivityDetail.aspx?id=80 Standard(s):
[MA2013] (4) 12: Explain why a fraction ^{a}/_{b} is equivalent to a fraction ^{nxa}/_{nxb} by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions. [4NF1] Digital Tool Description: This tool allows the participant to visually create two equivalent fractions based on the fraction provided. This can be used as an introduction since it allows you to determine your own fraction and construct models. You can also use it as a closing activity to check students understanding by asking them to construct a visual model.
Title: Can Fractions be Equal? Digital Tool: Simplifying Fractions Digital Tool Description: This tool allows the participant to visually create two equivalent fractions based on the fraction provided. This can be used as an introduction since it allows you to determine your own fraction and construct models. You can also use it as a closing activity to check students understanding by asking them to construct a visual model.
Web Resources
Assessments
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Title: Online Assessments
Description:
This site is a group of online assessments for math, science, vocabulary, and geography. This is a free service for teachers who want to replace paper tests with online testing. Teachers must create a free account to utilize this site. Account includes an online grade book providing fast analysis of class and individual student progress, an exchange for teachers to share the resources they create, a skills site for students, especially useful for math practice and testing.
Standard(s): [MA2013] (7) 1: Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities measured in like or different units. [7RP1]
Online Assessments
http://www.thatquiz....
This site is a group of online assessments for math, science, vocabulary, and geography. This is a free service for teachers who want to replace paper tests with online testing. Teachers must create a free account to utilize this site. Account includes an online grade book providing fast analysis of class and individual student progress, an exchange for teachers to share the resources they create, a skills site for students, especially useful for math practice and testing.
Interactives/Games
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Title: Simplifying Fractions Baseball
Description:
Simplifying Fractions Baseball is a fun game that requires students to simplify fractions in order to play baseball.
Standard(s): [MA2013] (4) 12: Explain why a fraction ^{a}/_{b} is equivalent to a fraction ^{nxa}/_{nxb} by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions. [4NF1]
Simplifying Fractions Baseball
http://www.mathplay...
Simplifying Fractions Baseball is a fun game that requires students to simplify fractions in order to play baseball.
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Title: Shoot Out at the Fraction Corral!
Description:
This interactive game requires the students to reduce fractions to lowest terms or simplified form. The student must shoot the fraction form to match the model form. Students may choose from Game 1 or 2 and Level 1,2,or 3 and they may choose relaxed mode or times mode. Results may be sent to the teacher with the percent correct. Students scores are posted on a score board and compared with other students.
Standard(s): [MA2013] (4) 12: Explain why a fraction ^{a}/_{b} is equivalent to a fraction ^{nxa}/_{nxb} by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions. [4NF1]
Shoot Out at the Fraction Corral!
http://www.sheppards...
This interactive game requires the students to reduce fractions to lowest terms or simplified form. The student must shoot the fraction form to match the model form. Students may choose from Game 1 or 2 and Level 1,2,or 3 and they may choose relaxed mode or times mode. Results may be sent to the teacher with the percent correct. Students scores are posted on a score board and compared with other students.
Learning Activities
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Title: Proteacher Collection: Fractions
Description:
This Web site contains comments and ideas for teaching fractions.
Standard(s): [MA2013] (4) 14: Understand a fraction ^{a}/_{b} with a > 1 as a sum of fractions ^{1}/_{b}. [4NF3]
Proteacher Collection: Fractions
http://www.proteache...
This Web site contains comments and ideas for teaching fractions.
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Title: Online Assessments
Description:
This site is a group of online assessments for math, science, vocabulary, and geography. This is a free service for teachers who want to replace paper tests with online testing. Teachers must create a free account to utilize this site. Account includes an online grade book providing fast analysis of class and individual student progress, an exchange for teachers to share the resources they create, a skills site for students, especially useful for math practice and testing.
Standard(s): [MA2013] (7) 1: Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities measured in like or different units. [7RP1]
Online Assessments
http://www.thatquiz....
This site is a group of online assessments for math, science, vocabulary, and geography. This is a free service for teachers who want to replace paper tests with online testing. Teachers must create a free account to utilize this site. Account includes an online grade book providing fast analysis of class and individual student progress, an exchange for teachers to share the resources they create, a skills site for students, especially useful for math practice and testing.
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Title: Shoot Out at the Fraction Corral!
Description:
This interactive game requires the students to reduce fractions to lowest terms or simplified form. The student must shoot the fraction form to match the model form. Students may choose from Game 1 or 2 and Level 1,2,or 3 and they may choose relaxed mode or times mode. Results may be sent to the teacher with the percent correct. Students scores are posted on a score board and compared with other students.
Standard(s): [MA2013] (4) 12: Explain why a fraction ^{a}/_{b} is equivalent to a fraction ^{nxa}/_{nxb} by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions. [4NF1]
Shoot Out at the Fraction Corral!
http://www.sheppards...
This interactive game requires the students to reduce fractions to lowest terms or simplified form. The student must shoot the fraction form to match the model form. Students may choose from Game 1 or 2 and Level 1,2,or 3 and they may choose relaxed mode or times mode. Results may be sent to the teacher with the percent correct. Students scores are posted on a score board and compared with other students.
Thinkfinity Informational Materials
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Title: Number and Operations Web Links
Description:
This collection of Web links, reviewed and presented by Illuminations, offers teachers and students information about and practice in concepts related to arithmetic. Users can read the Illuminations Editorial Board's review of each Web site, or choose to link directly to the sites.
Standard(s): [MA2013] (5) 26: Classify twodimensional figures in a hierarchy based on properties. [5G4]
Subject: Mathematics Title: Number and Operations Web Links
Description: This collection of Web links, reviewed and presented by Illuminations, offers teachers and students information about and practice in concepts related to arithmetic. Users can read the Illuminations Editorial Board's review of each Web site, or choose to link directly to the sites. Thinkfinity Partner: Illuminations Grade Span: K,1,2,3,4,5,6,7,8,9,10,11,12
Thinkfinity Interactive Games
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Title: Communicating about Mathematics Using Games: Playing Fraction Tracks
Description:
Mathematical games can foster mathematical communication as students explain and justify their moves to one another. In addition, games can motivate students and engage them in thinking about and applying concepts and skills. This eexample from Illuminations contains an interactive version of a game that can be used in the grades 35 classroom to support students' learning about fractions. eMath Investigations are selected eexamples from the electronic version of the Principles and Standards of School Mathematics (PSSM). The eexamples are part of the electronic version of the PSSM document. Given their interactive nature and focused discussion tied to the PSSM document, the eexamples are natural companions to the iMath investigations.
Standard(s): [MA2013] (5) 26: Classify twodimensional figures in a hierarchy based on properties. [5G4]
Subject: Mathematics Title: Communicating about Mathematics Using Games: Playing Fraction Tracks
Description: Mathematical games can foster mathematical communication as students explain and justify their moves to one another. In addition, games can motivate students and engage them in thinking about and applying concepts and skills. This eexample from Illuminations contains an interactive version of a game that can be used in the grades 35 classroom to support students' learning about fractions. eMath Investigations are selected eexamples from the electronic version of the Principles and Standards of School Mathematics (PSSM). The eexamples are part of the electronic version of the PSSM document. Given their interactive nature and focused discussion tied to the PSSM document, the eexamples are natural companions to the iMath investigations. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
Thinkfinity Learning Activities
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Title: Calculation Nation
Description:
Become a citizen of Calculation Nation! Play online math strategy games to learn about fractions, factors, multiples, symmetry and more, as well as practice important skills like basic multiplication and calculating area! Calculation Nation uses the power of the Web to let students challenge themselves and opponents from anywhere in the world. The element of competition adds an extra layer of excitement.
Standard(s): [MA2013] DM1 (912) 1: Analyze topics from elementary number theory, including perfect numbers and prime numbers, to determine properties of integers. (Alabama)
Subject: Mathematics Title: Calculation Nation
Description: Become a citizen of Calculation Nation! Play online math strategy games to learn about fractions, factors, multiples, symmetry and more, as well as practice important skills like basic multiplication and calculating area! Calculation Nation uses the power of the Web to let students challenge themselves and opponents from anywhere in the world. The element of competition adds an extra layer of excitement. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8,9
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Title: Fraction Models
Description:
This student interactive, from Illuminations, explores several representations for fractions using adjustable numerators and denominators. Students can see decimal and percent equivalents, as well as a model that represents each fraction.
Standard(s): [MA2013] (7) 5: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. [7NS2]
Subject: Mathematics Title: Fraction Models
Description: This student interactive, from Illuminations, explores several representations for fractions using adjustable numerators and denominators. Students can see decimal and percent equivalents, as well as a model that represents each fraction. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8
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Title: Fraction Game
Description:
This student interactive, from Illuminations, simulates a flash card fraction game. Students flip cards one at a time and try to match the values to the given number lines.
Standard(s): [MA2013] (5) 19: Make a line plot to display a data set of measurements in fractions of a unit (^{1}/_{2}, ^{1}/_{4}, ^{1}/_{8}).
Use operations on fractions for this grade to solve problems involving information presented in line plots. [5MD2]
Subject: Mathematics Title: Fraction Game
Description: This student interactive, from Illuminations, simulates a flash card fraction game. Students flip cards one at a time and try to match the values to the given number lines. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8
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Title: Equivalent Fractions
Description:
This student interactive, from Illuminations, allows students to create equivalent fractions by dividing and shading squares or circles. The fractions are simultaneously displayed on a number line so students can see the relationship between the fractions.
Standard(s): [MA2013] (4) 12: Explain why a fraction ^{a}/_{b} is equivalent to a fraction ^{nxa}/_{nxb} by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions. [4NF1]
Subject: Mathematics Title: Equivalent Fractions
Description: This student interactive, from Illuminations, allows students to create equivalent fractions by dividing and shading squares or circles. The fractions are simultaneously displayed on a number line so students can see the relationship between the fractions. Thinkfinity Partner: Illuminations Grade Span: 3,4,5

