ALEX Lesson Plans
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Title: A Math and Language Arts lesson: Introduction to Division
Description:
The lesson will help students develop an initial understanding of division and clarify how the four operations of addition, subtraction, multiplication, and division relate to and are separate from each other. The lesson begins with a brainstorming discussion which builds background and fosters comprehension. A big book, The Doorbell Rang, by Pat Hutchins, is used along with manipulatives to provide instruction at concrete and pictorial levels. Students will demonstrate what they have learned by writing a short story incorporating simple division.
Standard(s): [MA2015] (3) 5: Apply properties of operations as strategies to multiply and divide. (Students need not use formal terms for these properties.) [3OA5]
Subject: English Language Arts (3), or Mathematics (3)
Title: A Math and Language Arts lesson: Introduction to Division
Description: The lesson will help students develop an initial understanding of division and clarify how the four operations of addition, subtraction, multiplication, and division relate to and are separate from each other. The lesson begins with a brainstorming discussion which builds background and fosters comprehension. A big book, The Doorbell Rang, by Pat Hutchins, is used along with manipulatives to provide instruction at concrete and pictorial levels. Students will demonstrate what they have learned by writing a short story incorporating simple division.
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Title: Let's Go Shopping!
Description:
This technologybased lesson provides students practice in collecting and organizing data through the use of grocery store circulars.
Standard(s): [MA2015] (3) 3: Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 2.) [3OA3]
Subject: Mathematics (3  5), or Technology Education (3  5)
Title: Let's Go Shopping!
Description: This technologybased lesson provides students practice in collecting and organizing data through the use of grocery store circulars.
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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: Budgeting for the Oregon Trail
Description:
As a part of the online collaborative unit, Westward Ho!, students will work in cooperative groups of 45 students to decide what items they need to take on the Oregon Trail, determine the cost of the items, and complete a ledger to inventory (keep up with) items used on the trail. Information will then be used as part of a multimedia slideshow journal describing the journey.
Standard(s): [MA2015] (4) 2: Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison. (See Appendix A, Table 2.) [4OA2]
Subject: Mathematics (3  4)
Title: Budgeting for the Oregon Trail
Description: As a part of the online collaborative unit, Westward Ho!, students will work in cooperative groups of 45 students to decide what items they need to take on the Oregon Trail, determine the cost of the items, and complete a ledger to inventory (keep up with) items used on the trail. Information will then be used as part of a multimedia slideshow journal describing the journey.
Thinkfinity Lesson Plans
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Title: Multiplying Meanings
Description:
In this eightlesson unit, from Illuminations, students explore the many meanings of multiplication (skip counting, repeated addition, sets, arrays, number line, cross products of sets and balanced equations). They also learn about the order property, the multiplicative inverse and the results of multiplying by 1 and by 0. In addition, students write story problems in which the operation of multiplication is required. Opportunities to connect with literature are presented in four of the lessons.
Standard(s): [MA2015] (3) 7: Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 x 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two onedigit numbers. [3OA7]
Subject: Language Arts,Mathematics Title: Multiplying Meanings
Description: In this eightlesson unit, from Illuminations, students explore the many meanings of multiplication (skip counting, repeated addition, sets, arrays, number line, cross products of sets and balanced equations). They also learn about the order property, the multiplicative inverse and the results of multiplying by 1 and by 0. In addition, students write story problems in which the operation of multiplication is required. Opportunities to connect with literature are presented in four of the lessons. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Bag the Beans
Description:
In this Science NetLinks lesson, students work with manipulatives (beans) to create and solve math problems, some of which have more than one correct answer. This lesson addresses the common misconception that there is only one correct way to solve any math problem.
Standard(s): [MA2015] (3) 3: Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 2.) [3OA3]
Subject: Mathematics Title: Bag the Beans
Description: In this Science NetLinks lesson, students work with manipulatives (beans) to create and solve math problems, some of which have more than one correct answer. This lesson addresses the common misconception that there is only one correct way to solve any math problem. Thinkfinity Partner: Science NetLinks Grade Span: 3,4,5
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Title: Modeling Multiplication with Rows and Columns
Description:
This lesson, one of a multipart unit from Illuminations, encourages students to explore the array model of multiplication. Students make arrays with counters and then create a second concrete example of the array model using toothpicks. They also write problems that involve multiplication. A children s book is suggested to connect multiplication with children s literature. Several pieces of literature appropriate for use with this lesson are suggested.
Standard(s): [MA2015] (4) 10: Multiply a whole number of up to four digits by a onedigit whole number, and multiply two twodigit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. [4NBT5]
Subject: Language Arts,Mathematics Title: Modeling Multiplication with Rows and Columns
Description: This lesson, one of a multipart unit from Illuminations, encourages students to explore the array model of multiplication. Students make arrays with counters and then create a second concrete example of the array model using toothpicks. They also write problems that involve multiplication. A children s book is suggested to connect multiplication with children s literature. 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: Multiplication Stories
Description:
In this lesson, one of a multipart unit from Illuminations, students practice memorization of multiplication facts where one factor is 6 or 7. They create multiplication stories, play a multiplication game, and then record their current level of mastery of the multiplication facts.
Standard(s): [MA2015] (3) 4: Determine the unknown whole number in a multiplication or division equation relating three whole numbers. [3OA4]
Subject: Mathematics Title: Multiplication Stories
Description: In this lesson, one of a multipart unit from Illuminations, students practice memorization of multiplication facts where one factor is 6 or 7. They create multiplication stories, play a multiplication game, and then record their current level of mastery of the multiplication facts. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Times Six, Times Seven
Description:
In this sixlesson unit, from Illuminations, students who have previously studied the meanings of multiplication use its properties to help them memorize the products to 70, where 6 or 7 is a factor. Retention is fostered through class discussions, preparation of a personal multiplication chart, and game playing. The unit is most appropriate for students who understand the process of multiplication and have mastered the multiplication facts through the 5 table.
Standard(s): [MA2015] (4) 2: Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison. (See Appendix A, Table 2.) [4OA2]
Subject: Mathematics Title: Times Six, Times Seven
Description: In this sixlesson unit, from Illuminations, students who have previously studied the meanings of multiplication use its properties to help them memorize the products to 70, where 6 or 7 is a factor. Retention is fostered through class discussions, preparation of a personal multiplication chart, and game playing. The unit is most appropriate for students who understand the process of multiplication and have mastered the multiplication facts through the 5 table. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Clothing Sizes
Description:
This reproducible worksheet, from an Illuminations lesson, prompts students to analyze measurements of their body, specifically as they relate to clothing sizes.
Standard(s): [MA2015] (5) 20: Recognize volume as an attribute of solid figures, and understand concepts of volume measurement. [5MD3]
Subject: Mathematics Title: Clothing Sizes
Description: This reproducible worksheet, from an Illuminations lesson, prompts students to analyze measurements of their body, specifically as they relate to clothing sizes. 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): [MA2015] (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: The Variable Machine
Description:
This Illuminations lesson provides an introduction to the use of variables. Students explore the idea of variable as a symbol that can stand for any member of a set of numbers, and they substitute numbers for variables (letters) to discover unknown values.
Standard(s): [MA2015] (5) 6: Read, write, and compare decimals to thousandths. [5NBT3]
Subject: Mathematics Title: The Variable Machine
Description: This Illuminations lesson provides an introduction to the use of variables. Students explore the idea of variable as a symbol that can stand for any member of a set of numbers, and they substitute numbers for variables (letters) to discover unknown values. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Making Your First Million
Description:
In this lesson, one of a multipart unit from Illuminations, students attempt to identify the concept of a million by working with smaller numerical units, such as blocks of 10 or 100, and then expanding the idea by multiplication or repeated addition until a million is reached. Additionally, they use critical thinking to analyze situations and to identify mathematical patterns that enable them to develop the concept of very large numbers.
Standard(s): [MA2015] (8) 6: Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology. [8EE4]
Subject: Mathematics Title: Making Your First Million
Description: In this lesson, one of a multipart unit from Illuminations, students attempt to identify the concept of a million by working with smaller numerical units, such as blocks of 10 or 100, and then expanding the idea by multiplication or repeated addition until a million is reached. Additionally, they use critical thinking to analyze situations and to identify mathematical patterns that enable them to develop the concept of very large numbers. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8
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Title: Multiplying Turtle
Digital Tool:
Online Video Web Address URL:
http://www.teachertube.com/viewVideo.php?video_id=77588 Standard(s):
[MA2015] (4) 10: Multiply a whole number of up to four digits by a onedigit whole number, and multiply two twodigit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. [4NBT5] Digital Tool Description: A woman narrates the steps of two digit by two digit multiplication. It is a slideshow. This turtle method is an interesting and fun method for kids to learn double digit multiplication.
Title: Multiplying Turtle Digital Tool: Online Video Digital Tool Description: A woman narrates the steps of two digit by two digit multiplication. It is a slideshow. This turtle method is an interesting and fun method for kids to learn double digit multiplication.
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Title: Kids Teaching Kids
Digital Tool:
MathTrain Web Address URL:
http://www.mathtrain.com Standard(s):
[MA2015] (3) 3: Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. (See Appendix A, Table 2.) [3OA3] Digital Tool Description: Mathtrain.TV is a free, educational "kids teaching kids" project. There are different video channels for every subject. You can make an account for the class for free but you do not need an account just to view videos. You can upload a video once you make an account. There are teachercreated videos and studentcreated videos. Students and teachers can create these through their computers or iPads. Children love watching other children's work. Watching other kids' projects helps students better understand the content.
Title: Kids Teaching Kids Digital Tool: MathTrain Digital Tool Description: Mathtrain.TV is a free, educational "kids teaching kids" project. There are different video channels for every subject. You can make an account for the class for free but you do not need an account just to view videos. You can upload a video once you make an account. There are teachercreated videos and studentcreated videos. Students and teachers can create these through their computers or iPads. Children love watching other children's work. Watching other kids' projects helps students better understand the content.
ALEX Podcasts
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Title: Math Tricks: Always a 4
Overview:
This podcast was created to motivate students with a math trick that they can share with friends and family. Students are practicing several math concepts while they preform the trick. Pi the Math Guy, will lead your students through the steps. A transcript and a handout of the steps are included. Don't forget to check out the next episode for a new fun math trick. Standard(s):
[MA2015] (4) 10: Multiply a whole number of up to four digits by a onedigit whole number, and multiply two twodigit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. [4NBT5]
Math Tricks: Always a 4 Overview: This podcast was created to motivate students with a math trick that they can share with friends and family. Students are practicing several math concepts while they preform the trick. Pi the Math Guy, will lead your students through the steps. A transcript and a handout of the steps are included. Don't forget to check out the next episode for a new fun math trick.
Web Resources
Lesson Plans
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Title: Family Time: What Does it Cost? PBL
Description:
This is a unit plan that requires students to create a family vacation plan, a budget, and a schedule. Minilessons are included for prerequisite skills. Rubrics are also included.
Standard(s): [MA2015] (4) 20: Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. [4MD2]
Family Time: What Does it Cost? PBL
http://wveis.k12.wv....
This is a unit plan that requires students to create a family vacation plan, a budget, and a schedule. Minilessons are included for prerequisite skills. Rubrics are also included.
Learning Activities
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Title: Math Word Problems (Kidzone)
Description:
The word problems on this page are listed by grade and, within each grade, by theme.
Standard(s): [MA2015] (4) 2: Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison. (See Appendix A, Table 2.) [4OA2]
Math Word Problems (Kidzone)
http://www.kidzone.w...
The word problems on this page are listed by grade and, within each grade, by theme.
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: Concentration
Description:
This student interactive from Illuminations allows students to play the classic game of Concentration by themselves or against a friend. The interactive can be used to review numbers, shapes, multiplication facts, fractions, decimals, and percents.
Standard(s): [MA2015] (4) 23: Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement. [4MD5]
Subject: Mathematics Title: Concentration
Description: This student interactive from Illuminations allows students to play the classic game of Concentration by themselves or against a friend. The interactive can be used to review numbers, shapes, multiplication facts, fractions, decimals, and percents. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2,3,4,5
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Title: Product Game
Description:
This interactive game, from Illuminations, exercises students skills with factors and multiples. Players take turns moving a marker along a number line to create products, which are then colored in on the game board. The object of the game is to get four squares in a row.
Standard(s): [MA2015] (4) 1: Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 x 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations. [4OA1]
Subject: Mathematics Title: Product Game
Description: This interactive game, from Illuminations, exercises students skills with factors and multiples. Players take turns moving a marker along a number line to create products, which are then colored in on the game board. The object of the game is to get four squares in a row. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8
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Title: Factorize
Description:
This student interactive, from Illuminations, allows students to visually explore the concept of factors by creating rectangular arrays with an area equal to the product of the factors. They can choose whether or not to use the commutative property when identifying factors.
Standard(s): [MA2015] (6) 5: Fluently divide multidigit numbers using the standard algorithm. [6NS2]
Subject: Mathematics Title: Factorize
Description: This student interactive, from Illuminations, allows students to visually explore the concept of factors by creating rectangular arrays with an area equal to the product of the factors. They can choose whether or not to use the commutative property when identifying factors. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8
ALEX Learning Assets

