ALEX Lesson Plans
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Title: Fast Track to Multiplication Facts
Description:
In this lesson, students will learn how to use tricks to master multiplication facts. Students will be introduced to the only 15 facts they must know to master multiplication facts through 9X11 with the prerequisite that they know the 0's,2's,5's,10's, and 11's.
Standard(s): [TC2] (35) 12: Create a product using digital tools.
Subject: Mathematics (3), or Technology Education (3  5)
Title: Fast Track to Multiplication Facts
Description: In this lesson, students will learn how to use tricks to master multiplication facts. Students will be introduced to the only 15 facts they must know to master multiplication facts through 9X11 with the prerequisite that they know the 0's,2's,5's,10's, and 11's.
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Title: Multiplication Facts, Facts, Facts and Some Reese's Pieces for Snack!!
Description:
This lesson teaches the basic math multiplication facts in a fun way so that students will want to remember them. Knowledge of all multiplication facts will help with learning subsequent skills in longer multiplication, division, fractions, etc.
Standard(s): [MA2013] (3) 5: Apply properties of operations as strategies to multiply and divide. (Students need not use formal terms for these properties.) [3OA5]
Subject: Mathematics (1  3), or Technology Education (3  5)
Title: Multiplication Facts, Facts, Facts and Some Reese's Pieces for Snack!!
Description: This lesson teaches the basic math multiplication facts in a fun way so that students will want to remember them. Knowledge of all multiplication facts will help with learning subsequent skills in longer multiplication, division, fractions, etc.
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Title: Happy Trails
Description:
Math can be experienced everywhere and every day. During this lesson, students become active learners while discovering and sharing the mathematics existing in their everyday environment. Students explore the school and create mathematical problems using different concepts relating to what they find.
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 (3  5), or Technology Education (3  5)
Title: Happy Trails
Description: Math can be experienced everywhere and every day. During this lesson, students become active learners while discovering and sharing the mathematics existing in their everyday environment. Students explore the school and create mathematical problems using different concepts relating to what they find.
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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): [MA2013] (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.
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): [MA2013] (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: Hopping on the Number Line
Description:
In this lesson, one of a multipart unit from Illuminations, students generate products using the number line model. The order property is also introduced. In the lesson, students are encouraged to predict the products and to answer puzzles involving multiplication.
Standard(s): [MA2013] (4) 5: Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. [4OA5]
Subject: Mathematics Title: Hopping on the Number Line
Description: In this lesson, one of a multipart unit from Illuminations, students generate products using the number line model. The order property is also introduced. In the lesson, students are encouraged to predict the products and to answer puzzles involving multiplication. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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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.
Standard(s): [MA2013] (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: 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.
Standard(s): [MA2013] (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
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.
Standard(s): [MA2013] (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: Looking for Calculator Patterns
Description:
In this lesson, one of a multipart unit from Illuminations, students use a Webbased calculator to create and compare counting patterns using the constant function feature of the calculator. Making connections between multiple representations of counting patterns reinforces students understanding of this important idea and helps them recall these patterns as multiplication facts.
Standard(s): [MA2013] (3) 5: Apply properties of operations as strategies to multiply and divide. (Students need not use formal terms for these properties.) [3OA5]
Subject: Mathematics Title: Looking for Calculator Patterns
Description: In this lesson, one of a multipart unit from Illuminations, students use a Webbased calculator to create and compare counting patterns using the constant function feature of the calculator. Making connections between multiple representations of counting patterns reinforces students understanding of this important idea and helps them recall these patterns as multiplication facts. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
ALEX Podcasts
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Title: Properties of Multiplication
Overview:
There are four properties involving multiplication that will help make problems easier to solve. They are the commutative, associative, multiplicative identity and distributive properties. Standard(s):
[MA2013] (3) 5: Apply properties of operations as strategies to multiply and divide. (Students need not use formal terms for these properties.) [3OA5]
Properties of Multiplication Overview: There are four properties involving multiplication that will help make problems easier to solve. They are the commutative, associative, multiplicative identity and distributive properties.
Web Resources
Lesson Plans
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Title: Learning Multiplication and Division
Description:
Lessons and videos are provided for learning basic multiplication and division.
Standard(s): [MA2013] (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]
Learning Multiplication and Division
http://www.gcflearnf...
Lessons and videos are provided for learning basic multiplication and division.
Podcasts
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Title: Learning Multiplication and Division
Description:
Lessons and videos are provided for learning basic multiplication and division.
Standard(s): [MA2013] (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]
Learning Multiplication and Division
http://www.gcflearnf...
Lessons and videos are provided for learning basic multiplication and division.
Interactives/Games
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Title: FunBrain  Math Baseball
Description:
For this interactive game, FUNBRAIN gives the student a math problem. The student enters the answer to the problem and hits the "Swing" button. If the answer is correct, the student will get a hit. FUNBRAIN will decide if the hit is a single, double, triple, or home run based on the difficulty of the problem. If the answer is wrong, the student will get an out. The game is over after three outs. One or 2 players may play and problems are available for addition, subtraction, multiplication, division, or all of the above.
Standard(s): [MA2013] (4) 11: Find wholenumber quotients and remainders with up to fourdigit dividends and onedigit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. [4NBT6]
FunBrain  Math Baseball
http://www.funbrain....
For this interactive game, FUNBRAIN gives the student a math problem. The student enters the answer to the problem and hits the "Swing" button. If the answer is correct, the student will get a hit. FUNBRAIN will decide if the hit is a single, double, triple, or home run based on the difficulty of the problem. If the answer is wrong, the student will get an out. The game is over after three outs. One or 2 players may play and problems are available for addition, subtraction, multiplication, division, or all of the above.
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Title: Help Officer Hubert Load His Multiplication Cargo Ship!
Description:
This interactive math game practices multiplication facts. Cargo Security Officer Hubert works to get the cargo ship scanned and off to sea. The student chooses the multiplication fact they want to practice. The facts are shown on the dock and the cargo crates have different answers. The student must drag the correct cargo(product) onto the ship.
Standard(s): [MA2013] (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]
Help Officer Hubert Load His Multiplication Cargo Ship!
http://www.multiplic...
This interactive math game practices multiplication facts. Cargo Security Officer Hubert works to get the cargo ship scanned and off to sea. The student chooses the multiplication fact they want to practice. The facts are shown on the dock and the cargo crates have different answers. The student must drag the correct cargo(product) onto the ship.
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Title: Divisibility Rules
Description:
This is an interactive game requiring students to choose which integers are evenly divisible.
Standard(s): [MA2013] (7) 5: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. [7NS2]
Divisibility Rules
http://www.vectorkid...
This is an interactive game requiring students to choose which integers are evenly divisible.
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Title: Math Flash Cards
Description:
Math Flash Cards provide interactive flash cards for students to practice addition, subtraction, multiplication, and division at a variety of levels.
Standard(s): [MA2013] (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]
Math Flash Cards
http://www.factmonst...
Math Flash Cards provide interactive flash cards for students to practice addition, subtraction, multiplication, and division at a variety of levels.
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Title: Make the Connection: Products
Description:
This is an interactive math game for practicing products. The game is part of the Connected Math Game Site. It can be played by two players on a computer or two teams on an interactive whiteboard.
Standard(s): [MA2013] (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]
Make the Connection: Products
http://connectedmath...
This is an interactive math game for practicing products. The game is part of the Connected Math Game Site. It can be played by two players on a computer or two teams on an interactive whiteboard.
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Title: BrainNook
Description:
This resource is a free interactive app for individualized learning in math. Teachers and students can set up accounts. iPad apps for Grades 13 are free.
Standard(s): [MA2013] (3) 15: Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. [3NF3]
BrainNook
http://www.brainnook...
This resource is a free interactive app for individualized learning in math. Teachers and students can set up accounts. iPad apps for Grades 13 are free.
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Title: Primitive Times
Description:
This is a great visual to show/prove the difference from prime and composite numbers using primitives.
Standard(s): [MA2013] (3) 5: Apply properties of operations as strategies to multiply and divide. (Students need not use formal terms for these properties.) [3OA5]
Primitive Times
http://www.ptolemy.c...
This is a great visual to show/prove the difference from prime and composite numbers using primitives.
Learning Activities
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Title: FunBrain  Math Baseball
Description:
For this interactive game, FUNBRAIN gives the student a math problem. The student enters the answer to the problem and hits the "Swing" button. If the answer is correct, the student will get a hit. FUNBRAIN will decide if the hit is a single, double, triple, or home run based on the difficulty of the problem. If the answer is wrong, the student will get an out. The game is over after three outs. One or 2 players may play and problems are available for addition, subtraction, multiplication, division, or all of the above.
Standard(s): [MA2013] (4) 11: Find wholenumber quotients and remainders with up to fourdigit dividends and onedigit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. [4NBT6]
FunBrain  Math Baseball
http://www.funbrain....
For this interactive game, FUNBRAIN gives the student a math problem. The student enters the answer to the problem and hits the "Swing" button. If the answer is correct, the student will get a hit. FUNBRAIN will decide if the hit is a single, double, triple, or home run based on the difficulty of the problem. If the answer is wrong, the student will get an out. The game is over after three outs. One or 2 players may play and problems are available for addition, subtraction, multiplication, division, or all of the above.
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Title: Help Officer Hubert Load His Multiplication Cargo Ship!
Description:
This interactive math game practices multiplication facts. Cargo Security Officer Hubert works to get the cargo ship scanned and off to sea. The student chooses the multiplication fact they want to practice. The facts are shown on the dock and the cargo crates have different answers. The student must drag the correct cargo(product) onto the ship.
Standard(s): [MA2013] (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]
Help Officer Hubert Load His Multiplication Cargo Ship!
http://www.multiplic...
This interactive math game practices multiplication facts. Cargo Security Officer Hubert works to get the cargo ship scanned and off to sea. The student chooses the multiplication fact they want to practice. The facts are shown on the dock and the cargo crates have different answers. The student must drag the correct cargo(product) onto the ship.
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Title: Math Flash Cards
Description:
Math Flash Cards provide interactive flash cards for students to practice addition, subtraction, multiplication, and division at a variety of levels.
Standard(s): [MA2013] (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]
Math Flash Cards
http://www.factmonst...
Math Flash Cards provide interactive flash cards for students to practice addition, subtraction, multiplication, and division at a variety of levels.
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Title: BrainNook
Description:
This resource is a free interactive app for individualized learning in math. Teachers and students can set up accounts. iPad apps for Grades 13 are free.
Standard(s): [MA2013] (3) 15: Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. [3NF3]
BrainNook
http://www.brainnook...
This resource is a free interactive app for individualized learning in math. Teachers and students can set up accounts. iPad apps for Grades 13 are free.
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Title: Primitive Times
Description:
This is a great visual to show/prove the difference from prime and composite numbers using primitives.
Standard(s): [MA2013] (3) 5: Apply properties of operations as strategies to multiply and divide. (Students need not use formal terms for these properties.) [3OA5]
Primitive Times
http://www.ptolemy.c...
This is a great visual to show/prove the difference from prime and composite numbers using primitives.
Teacher Tools
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Title: BrainNook
Description:
This resource is a free interactive app for individualized learning in math. Teachers and students can set up accounts. iPad apps for Grades 13 are free.
Standard(s): [MA2013] (3) 15: Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. [3NF3]
BrainNook
http://www.brainnook...
This resource is a free interactive app for individualized learning in math. Teachers and students can set up accounts. iPad apps for Grades 13 are free.
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: Number Cruncher
Description:
This tool, created by Science NetLinks, challenges students to consider mathematical equations to get from one number to another in a math maze. Students use a series of addition, subtraction, and multiplication equations to reach their goal. From here you can access a review of this resource for grades 38. You can access reviews for additional grades and benchmarks using the navigation links at the top of the review.
Standard(s): [MA2013] (4) 9: Fluently add and subtract multidigit whole numbers using the standard algorithm. [4NBT4]
Subject: Mathematics Title: Number Cruncher
Description: This tool, created by Science NetLinks, challenges students to consider mathematical equations to get from one number to another in a math maze. Students use a series of addition, subtraction, and multiplication equations to reach their goal. From here you can access a review of this resource for grades 38. You can access reviews for additional grades and benchmarks using the navigation links at the top of the review. Thinkfinity Partner: Science NetLinks Grade Span: 3,4,5,6,7,8
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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: 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): [MA2013] (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

