ALEX Lesson Plans
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Title: What's the Question Again?
Description:
This lesson focuses on problem solving strategies with word problems that are 2 or more steps. Students are forced through the strategies to focus on the content of a problem before attempting to answer the "question" which tells what they are to solve. Visualization and communication are reinforced throughout the lesson. The strategies are generic. Included are problems for 3rd, 4th, and 5th grade computation. However, these same strategies can be used for all grade levels.
This is a College and CareerReady Standards showcase lesson plan.
Standard(s): [MA2015] (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 (3  5)
Title: What's the Question Again?
Description: This lesson focuses on problem solving strategies with word problems that are 2 or more steps. Students are forced through the strategies to focus on the content of a problem before attempting to answer the "question" which tells what they are to solve. Visualization and communication are reinforced throughout the lesson. The strategies are generic. Included are problems for 3rd, 4th, and 5th grade computation. However, these same strategies can be used for all grade levels.
This is a College and CareerReady Standards showcase lesson plan.
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Title: Field Challenge Strategy Game: Plant Adaptations
Description:
Use a game to challenge students to understand the fight for sunlight, nutrients, and water. This simple strategy game encourages students to balance ability with need in taking over an open field. Succession is the end game.
Standard(s): [MA2015] (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 (5), or Physical Education (4), or Credit Recovery Science (4), or Science (3), or Technology Education (3  5)
Title: Field Challenge Strategy Game: Plant Adaptations
Description: Use a game to challenge students to understand the fight for sunlight, nutrients, and water. This simple strategy game encourages students to balance ability with need in taking over an open field. Succession is the end game.
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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): [MA2015] (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: 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): [MA2015] (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: Fractions and Recipes
Description:
This is a lesson used to show how fractions are used in everyday life. Students will use the knowledge they have about fractions to change a recipe to accommodate different amounts of people. Students will enjoy navigating the Internet to locate a recipe. Students will also have the opportunity to make the recipe in class and share it with their friends.
Standard(s): [MA2015] (6) 6: Fluently add, subtract, multiply, and divide multidigit decimals using the standard algorithm for each operation. [6NS3]
Subject: Mathematics (5  6)
Title: Fractions and Recipes
Description: This is a lesson used to show how fractions are used in everyday life. Students will use the knowledge they have about fractions to change a recipe to accommodate different amounts of people. Students will enjoy navigating the Internet to locate a recipe. Students will also have the opportunity to make the recipe in class and share it with their friends.
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Title: It’s My Party!
Description:
Students will learn the value of money by planning their own birthday party. By using the Internet and a calculator, students will be given the opportunity for a practical reallife opportunity to solve a problem related to money exchange.
Standard(s): [MA2015] (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 (3  5), or Technology Education (3  5)
Title: It’s My Party!
Description: Students will learn the value of money by planning their own birthday party. By using the Internet and a calculator, students will be given the opportunity for a practical reallife opportunity to solve a problem related to money exchange.
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Title: Probability Paper Bags
Description:
The students will use paper bags with color tiles to calculate probability of colors. This is a fun activity to use with the students. The objectives of probability are taught in a nonthreatening way.
Standard(s): [MA2015] (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 (3  5), or Technology Education (3  5)
Title: Probability Paper Bags
Description: The students will use paper bags with color tiles to calculate probability of colors. This is a fun activity to use with the students. The objectives of probability are taught in a nonthreatening way.
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Title: Introduction to Spreadsheets
Description:
Students will utilize Excel or other spreadsheet software to create both text and numerical valued columns to produce a Christmas or birthday wish list.
Standard(s): [MA2015] (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]
Subject: Mathematics (5), or Technology Education (6  8)
Title: Introduction to Spreadsheets
Description: Students will utilize Excel or other spreadsheet software to create both text and numerical valued columns to produce a Christmas or birthday wish list.
Thinkfinity Lesson Plans
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Title: Another Look at Fractions of a Set
Description:
In this lesson, one of a multipart unit from Illuminations, students identify fractions in realworld contexts from a set of items that are not identical. Students develop skills in problemsolving and reasoning as they think about their set and how to create new sets given specific fractional characteristics.
Standard(s): [MA2015] (5) 24: Represent realworld and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. [5G2]
Subject: Mathematics Title: Another Look at Fractions of a Set
Description: In this lesson, one of a multipart unit from Illuminations, students identify fractions in realworld contexts from a set of items that are not identical. Students develop skills in problemsolving and reasoning as they think about their set and how to create new sets given specific fractional characteristics. 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): [MA2015] (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: Investigating Fraction Relationships with Relationship Rods
Description:
In this lesson, one of a multipart unit from Illuminations, students use relationship rods to explore fraction relationships. Relationship rods are wooden or plastic rods in ten different colors. They range in length from one to ten centimeters. Each length is a different color. This work with relationships lays the foundation for work with more challenging fraction concepts.
Standard(s): [MA2015] (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 Title: Investigating Fraction Relationships with Relationship Rods
Description: In this lesson, one of a multipart unit from Illuminations, students use relationship rods to explore fraction relationships. Relationship rods are wooden or plastic rods in ten different colors. They range in length from one to ten centimeters. Each length is a different color. This work with relationships lays the foundation for work with more challenging fraction concepts. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
ALEX Learning Activities Save to ALEX 
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Title: Flipping Fractions
Digital Tool:
Mixed Number to Improper Fraction Video Web Address URL:
https://www.youtube.com/watch?v=ggYdPef3Nuk Standard(s):
[MA2015] (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] Digital Tool Description: This YouTube Video is a tool used to review changing mixed numbers to improper fractions when preparing to teach the students adding and subtracting fractions and mixed numbers.
Title: Flipping Fractions Digital Tool: Mixed Number to Improper Fraction Video Digital Tool Description: This YouTube Video is a tool used to review changing mixed numbers to improper fractions when preparing to teach the students adding and subtracting fractions and mixed numbers.
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Title: Ten Marks Personalized Math
Digital Tool:
Ten Marks Web Address URL:
http://www.tenmarks.com/ Standard(s):
[MA2015] (7) 6: Solve realworld and mathematical problems involving the four operations with rational numbers. (Computations with rational numbers extend the rules for manipulating fractions to complex fractions.) [7NS3] Digital Tool Description: Ten Marks provides multiple choice questions for students in 2nd grade through Geometry. With a minimum of ten math subtopics per grade level, this tool can be used as an whole group or individual. The teacher manages the assignments and is able to view individualized reports. Students are guided through questions and have on screen access to audio/video instruction. When the assignment is complete, students receive immediate feedback and explanations for review. Access is available 24 hours/day, seven days per week.
Title: Ten Marks Personalized Math Digital Tool: Ten Marks Digital Tool Description: Ten Marks provides multiple choice questions for students in 2nd grade through Geometry. With a minimum of ten math subtopics per grade level, this tool can be used as an whole group or individual. The teacher manages the assignments and is able to view individualized reports. Students are guided through questions and have on screen access to audio/video instruction. When the assignment is complete, students receive immediate feedback and explanations for review. Access is available 24 hours/day, seven days per week.
ALEX Multimedia
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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):
[MA2015] (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):
[MA2015] (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):
[MA2015] (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):
[MA2015] (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.
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Title: Friendly Fractions part 1
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 different types of fractions, how they are made, and how they are used. 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):
[MA2015] (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 1 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 different types of fractions, how they are made, and how they are used. 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.
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): [MA2015] (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): [MA2015] (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): [MA2015] (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): [MA2015] (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

