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Title: Double Your Flavor
Description:
As students begin memorizing the multiplication math facts, they will need many ways to visualize and practice the multiplication concepts. In this lesson they will begin practice with arrays, skip counting, and moving manipulatives for the 0,1,2,3,and 4 times tables.
Standard(s): [MA2015] (3) 12: Multiply onedigit whole numbers by multiples of 10 in the range 10  90 (e.g., 9 x 80, 5 x 60) using strategies based on place value and properties of operations. [3NBT3]
Subject: Mathematics (2  3), or Technology Education (K  2)
Title: Double Your Flavor
Description: As students begin memorizing the multiplication math facts, they will need many ways to visualize and practice the multiplication concepts. In this lesson they will begin practice with arrays, skip counting, and moving manipulatives for the 0,1,2,3,and 4 times tables.
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Title: Multiplying Meanings
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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: The Product Game
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In this fourlesson unit, from Illuminations, students play a game in which they start with factors and multiply to find the product. They play the game, make their own game boards, use Venn diagrams to represent the relationships between the factors or products of two numbers and develop strategies for winning the game.
Standard(s): [MA2015] (4) 4: Find all factor pairs for a whole number in the range 1100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1100 is a multiple of a given onedigit number. Determine whether a given whole number in the range 1100 is prime or composite. [4OA4]
Subject: Mathematics Title: The Product Game
Description: In this fourlesson unit, from Illuminations, students play a game in which they start with factors and multiply to find the product. They play the game, make their own game boards, use Venn diagrams to represent the relationships between the factors or products of two numbers and develop strategies for winning the game. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8
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Title: Times Six, Times Seven
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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: Keeping It All Together
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In this lesson, one of a multipart unit from Illuminations, students practice multiplication facts by playing card games and singing skipcounting songs. Students modify their multiplication charts to record the facts of which they are sure.
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: Mathematics Title: Keeping It All Together
Description: In this lesson, one of a multipart unit from Illuminations, students practice multiplication facts by playing card games and singing skipcounting songs. Students modify their multiplication charts to record the facts of which they are sure. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: The First Race
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In this lesson, one of a multipart unit from Illuminations, students model multiplication facts on the number line and compare various representations. They also find the product of two factors.
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: Mathematics Title: The First Race
Description: In this lesson, one of a multipart unit from Illuminations, students model multiplication facts on the number line and compare various representations. They also find the product of two factors. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: It's in the Cards
Description:
In this sevenlesson unit, from Illuminations, students use the properties of multiplication to help them master the multiplication facts. Students explore patterns in multiplication, the order property, the multiplicative identity, and the zero property in multiplication, and work towards mastery of the multiplication facts.
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: It's in the Cards
Description: In this sevenlesson unit, from Illuminations, students use the properties of multiplication to help them master the multiplication facts. Students explore patterns in multiplication, the order property, the multiplicative identity, and the zero property in multiplication, and work towards mastery of the multiplication facts. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: More Patterns with Products
Description:
In this lesson, one of a multipart unit from Illuminations, students use an interactive Web site to find patterns in the multiplication tables. They then practice multiplication facts and record their current level of mastery of the multiplication facts on their personal multiplication chart.
Standard(s): [MA2015] (3) 9: Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. [3OA9]
Subject: Mathematics Title: More Patterns with Products
Description: In this lesson, one of a multipart unit from Illuminations, students use an interactive Web site to find patterns in the multiplication tables. They then practice multiplication facts and record their current level of mastery of the multiplication facts on their personal multiplication chart. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Looking for Patterns
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This lesson, one of a multipart unit from Illuminations, focuses on the properties of multiplication. Students skip count, examine multiplication patterns, and explore commutativity.
Standard(s): [MA2015] (5) 3: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. [5OA3]
Subject: Mathematics Title: Looking for Patterns
Description: This lesson, one of a multipart unit from Illuminations, focuses on the properties of multiplication. Students skip count, examine multiplication patterns, and explore commutativity. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Multiplication Fact Mastery Record
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This reproducible activity, from an Illuminations lesson, features a multiplication table for the numbers 09. In the lesson, students generate products using a number line model.
Standard(s): [MA2015] (3) 9: Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. [3OA9]
Subject: Mathematics Title: Multiplication Fact Mastery Record
Description: This reproducible activity, from an Illuminations lesson, features a multiplication table for the numbers 09. In the lesson, students generate products using a number line model. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Making Your Own Product Game
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In this lesson, one of a multipart unit from Illuminations, students review strategies for playing the Product Game. In this game, players start with a set of given factors and multiply to find the product. Students then work in groups to create their own game boards.
Standard(s): [MA2015] (6) 13: Write, read, and evaluate expressions in which letters stand for numbers. [6EE2]
Subject: Mathematics Title: Making Your Own Product Game
Description: In this lesson, one of a multipart unit from Illuminations, students review strategies for playing the Product Game. In this game, players start with a set of given factors and multiply to find the product. Students then work in groups to create their own game boards. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8
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Title: Finding Products
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In this lesson, one of a multipart unit from Illuminations, students examine the role of commutativity and the multiplicative identity, play a multiplication game, and explore products where one of the factors is 6. They also create a personal multiplication chart.
Standard(s): [MA2015] (5) 22: Relate volume to the operations of multiplication and addition, and solve realworld and mathematical problems involving volume. [5MD5]
Subject: Mathematics Title: Finding Products
Description: In this lesson, one of a multipart unit from Illuminations, students examine the role of commutativity and the multiplicative identity, play a multiplication game, and explore products where one of the factors is 6. They also create a personal multiplication chart. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Balance Beam Discoveries
Description:
This lesson, one of a multipart unit from Illuminations, encourages students to explore two models of multiplication: the balance beam and the inverse of multiplication. This exploration leads naturally into representing multiplication facts in equation form. In addition to extending their understanding of the concept of multiplication, students begin to practice the multiplication facts by playing an interactive online game.
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: Mathematics Title: Balance Beam Discoveries
Description: This lesson, one of a multipart unit from Illuminations, encourages students to explore two models of multiplication: the balance beam and the inverse of multiplication. This exploration leads naturally into representing multiplication facts in equation form. In addition to extending their understanding of the concept of multiplication, students begin to practice the multiplication facts by playing an interactive online game. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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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.
ALEX Multimedia
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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.
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Title: 9's The Cool Way
Overview:
This is an easy way to learn how to remember your multiples of 9. 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]
9's The Cool Way Overview: This is an easy way to learn how to remember your multiples of 9.
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Title: Math in the Real World
Overview:
This podcast is a creation of six students from Stephens Elementary. Their class went on a Math Walk one afternoon and were challenged to created a math problem based upon what they found. They then shared their solutions on camera. Standard(s):
[MA2015] (3) 11: Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction. [3NBT2]
Math in the Real World Overview: This podcast is a creation of six students from Stephens Elementary. Their class went on a Math Walk one afternoon and were challenged to created a math problem based upon what they found. They then shared their solutions on camera.
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: Primary Krypto
Description:
This student interactive, from Illuminations, allows students to practice addition, subtraction, multiplication and addition in a fun environment. In the game of Krypto, students combine numbers with mathematical operations to obtain a target number.
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]
Subject: Mathematics Title: Primary Krypto
Description: This student interactive, from Illuminations, allows students to practice addition, subtraction, multiplication and addition in a fun environment. In the game of Krypto, students combine numbers with mathematical operations to obtain a target number. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2,3,4,5,6,7,8
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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

