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: Gallon Man Meets Fraction Friend: An Introductory Lesson on Adding Fractions with Unlike Denominators
Description:
This handson, mindson activity helps students use what they already know about customary measurement (CCRS 2010 #18 [5.MD.1]: Convert among differentsized standard measurement units within a given measurement system.) to help them add and subtract fractions with like and unlike denominators.
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 (5)
Title: Gallon Man Meets Fraction Friend: An Introductory Lesson on Adding Fractions with Unlike Denominators
Description: This handson, mindson activity helps students use what they already know about customary measurement (CCRS 2010 #18 [5.MD.1]: Convert among differentsized standard measurement units within a given measurement system.) to help them add and subtract fractions with like and unlike denominators.
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Title: Aquarium Project
Description:
The class is given money to purchase fish for a class aquarium. Students must use the size and lifestyle requirements for the fish to decide which type to buy. Students must present their proposal to the principal in a letter.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMSU Project.
Standard(s): [MA2013] (6) 6: Fluently add, subtract, multiply, and divide multidigit decimals using the standard algorithm for each operation. [6NS3]
Subject: Mathematics (5  6), or Technology Education (6  8)
Title: Aquarium Project
Description: The class is given money to purchase fish for a class aquarium. Students must use the size and lifestyle requirements for the fish to decide which type to buy. Students must present their proposal to the principal in a letter.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMSU 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.
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Title: Watch That Plant Grow
Description:
This lesson allows students to explore horticulture within a controlled environment, a greenhouse. Students engage in handson activities as they grow their own plants and chart data concerning the conditions related to plant growth in a greenhouse. The data collected is recorded on a spreadsheet to aid in growth prediction over a specified amount of time. This lesson should precede other lessons regarding research on plants grown in a greenhouse.
Standard(s): [MA2013] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5]
Subject: Mathematics (5  6), or Science (8), or Technology Education (6  8)
Title: Watch That Plant Grow
Description: This lesson allows students to explore horticulture within a controlled environment, a greenhouse. Students engage in handson activities as they grow their own plants and chart data concerning the conditions related to plant growth in a greenhouse. The data collected is recorded on a spreadsheet to aid in growth prediction over a specified amount of time. This lesson should precede other lessons regarding research on plants grown in a greenhouse.
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Title: Adding and Subtracting Mixed Numbers
Description:
During this technology based lesson, students learn how to add and subtract mixed numbers by exploring websites on the Internet. Students demonstrate their knowledge of fractions by participating in practice activities on the Internet.
Standard(s): [MA2013] (5) 16: Solve realworld problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. [5NF6]
Subject: Mathematics (4  5), or Technology Education (3  5)
Title: Adding and Subtracting Mixed Numbers
Description: During this technology based lesson, students learn how to add and subtract mixed numbers by exploring websites on the Internet. Students demonstrate their knowledge of fractions by participating in practice activities on the Internet.
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Title: Kids and Money
Description:
This lesson is used to show students how a bank pays interest to people who deposit money into it and charges interest to people who borrow money from it.
Standard(s): [MA2013] (5) 14: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. [5NF4]
Subject: Mathematics (4  5), or Technology Education (3  5)
Title: Kids and Money
Description: This lesson is used to show students how a bank pays interest to people who deposit money into it and charges interest to people who borrow money from it.
Thinkfinity Lesson Plans
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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: 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: 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: Adding Fractions with Splash Math
Digital Tool:
Splash Math App Grade 5 Web Address URL:
https://itunes.apple.com/us/app/splashmathgrade5/id504807361?mt=8 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: The Splash Math App is a paid app that is available for Grades K5. However, there is a free version of the app per grade level that allows for a limited amount of access per day. This app is a great tool to use for reinforcing mathematic skills and providing extra practice in skill areas. This tool can be used for individual, small group, or whole group instruction.
Title: Adding Fractions with Splash Math Digital Tool: Splash Math App Grade 5 Digital Tool Description: The Splash Math App is a paid app that is available for Grades K5. However, there is a free version of the app per grade level that allows for a limited amount of access per day. This app is a great tool to use for reinforcing mathematic skills and providing extra practice in skill areas. This tool can be used for individual, small group, or whole group instruction.
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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
ALEX Podcasts
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Title: Friendly Fractions part 3
Overview:
This podcast is part of a series on operations with fractions. Designed with the middle school student in mind, it is a refresher on the basics of fractions. The lesson also covers adding and subtracting unlike fractions (unlike denominators). The podcast can be used as a lesson or as a supplement to a lesson. A suggestion would be to stop the lesson as it goes along and allow the students to work problems out themselves. Standard(s):
[MA2013] (7) 9: Solve multistep reallife and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form, convert between forms as appropriate, and assess the reasonableness of answers using mental computation and estimation strategies. [7EE3]
Friendly Fractions part 3 Overview: This podcast is part of a series on operations with fractions. Designed with the middle school student in mind, it is a refresher on the basics of fractions. The lesson also covers adding and subtracting unlike fractions (unlike denominators). The podcast can be used as a lesson or as a supplement to a lesson. A suggestion would be to stop the lesson as it goes along and allow the students to work problems out themselves.
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Title: Friendly Fractions part 4
Overview:
This podcast is part of a series on operations with fractions. Designed with the middle school student in mind, it is a refresher on the basics of fractions. The lesson covers multiplying fractions including mixed numbers. The podcast can be used as a lesson or as a supplement to a lesson. A suggestion would be to stop the lesson as it goes along and allow the students to work problems out themselves. Standard(s):
[MA2013] (7) 9: Solve multistep reallife and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form, convert between forms as appropriate, and assess the reasonableness of answers using mental computation and estimation strategies. [7EE3]
Friendly Fractions part 4 Overview: This podcast is part of a series on operations with fractions. Designed with the middle school student in mind, it is a refresher on the basics of fractions. The lesson covers multiplying fractions including mixed numbers. The podcast can be used as a lesson or as a supplement to a lesson. A suggestion would be to stop the lesson as it goes along and allow the students to work problems out themselves.
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Title: Friendly Fractions part 5
Overview:
This podcast is part of a series on operations with fractions. Designed with the middle school student in mind, it is a refresher on the basics of fractions. The lesson covers dividing fractions and mixed numbers using "keepchangeflip". The podcast can be used as a lesson or as a supplement to a lesson. A suggestion would be to stop the lesson as it goes along and allow the students to work problems out themselves. Standard(s):
[MA2013] (7) 9: Solve multistep reallife and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form, convert between forms as appropriate, and assess the reasonableness of answers using mental computation and estimation strategies. [7EE3]
Friendly Fractions part 5 Overview: This podcast is part of a series on operations with fractions. Designed with the middle school student in mind, it is a refresher on the basics of fractions. The lesson covers dividing fractions and mixed numbers using "keepchangeflip". The podcast can be used as a lesson or as a supplement to a lesson. A suggestion would be to stop the lesson as it goes along and allow the students to work problems out themselves.
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Title: Friendly Fractions part 2
Overview:
This podcast is part of a series on operations with fractions. Designed with the middle school student in mind, it is a refresher on the basics of fractions. The lesson also covers adding and subtracting like fractions (same denominator). The podcast can be used as a lesson or as a supplement to a lesson. A suggestion would be to stop the lesson as it goes along and allow the students to work problems out themselves. Standard(s):
[MA2013] (7) 9: Solve multistep reallife and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form, convert between forms as appropriate, and assess the reasonableness of answers using mental computation and estimation strategies. [7EE3]
Friendly Fractions part 2 Overview: This podcast is part of a series on operations with fractions. Designed with the middle school student in mind, it is a refresher on the basics of fractions. The lesson also covers adding and subtracting like fractions (same denominator). The podcast can be used as a lesson or as a supplement to a lesson. A suggestion would be to stop the lesson as it goes along and allow the students to work problems out themselves.
Web Resources
Podcasts
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Title: Can a Fraction be a Decimal?
Description:
This podcast discusses how to change fractions and decimals into percentages.
Standard(s): [MA2013] (5) 17: Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. (Students able to multiply fractions in general can develop strategies to divide fractions in general by reasoning about the relationship between multiplication and division. However, division of a fraction by a fraction is not a requirement at this grade.)
[5NF7]
Can a Fraction be a Decimal?
http://www.mathplayg...
This podcast discusses how to change fractions and decimals into percentages.
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: Adding and Subtracting Fractions Board Game
Description:
This interactive online board game is a fun way for students to practice adding and subtracting fractions.
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]
Adding and Subtracting Fractions Board Game
http://www.mathplay...
This interactive online board game is a fun way for students to practice adding and subtracting fractions.
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Title: Fractions Football
Description:
Fractions Football is a fun, interactive game that provides practice with adding fractions while playing a game of football.
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]
Fractions Football
http://www.mathplay...
Fractions Football is a fun, interactive game that provides practice with adding fractions while playing a game of football.
Learning Activities
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Title: Everything Math for 5
Description:
The website 1XL has an extensive list of skills students learn in 5th grade. They are organized into categories (ex. place value, problem solving, geometry, etc.)where you can move your mouse over any skill to view a sample question before going to the link. 1XL will track the score and questions will become increasingly difficult. Great to use with SmartBoards!
Standard(s): [MA2013] (5) 25: Understand that attributes belonging to a category of twodimensional figures also belong to all subcategories of that category. [5G3]
Everything Math for 5
http://www.ixl.com/m...
The website 1XL has an extensive list of skills students learn in 5th grade. They are organized into categories (ex. place value, problem solving, geometry, etc.)where you can move your mouse over any skill to view a sample question before going to the link. 1XL will track the score and questions will become increasingly difficult. Great to use with SmartBoards!
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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: Fractions Football
Description:
Fractions Football is a fun, interactive game that provides practice with adding fractions while playing a game of football.
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]
Fractions Football
http://www.mathplay...
Fractions Football is a fun, interactive game that provides practice with adding fractions while playing a game of football.
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: 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
ALEX Learning Assets

