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Title: What are You  Prime or Composite?
Description:
This lesson is on factors and greatest common factors. The students will view presentations on prime numbers, composite numbers, and prime factorization (some using factor trees).
The students will participate in interactive games on various websites, and discover by using their initials in their name, if they are prime or composite.
Standard(s): [MA2013] (6) 7: Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1100 with a common factor as a multiple of a sum of two whole numbers with no common factor. [6NS4] [MA2013] AL1 (912) 10: Understand that polynomials form a system analogous to the integers; namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials. [AAPR1]
Subject: Mathematics (6  12)
Title: What are You  Prime or Composite?
Description: This lesson is on factors and greatest common factors. The students will view presentations on prime numbers, composite numbers, and prime factorization (some using factor trees).
The students will participate in interactive games on various websites, and discover by using their initials in their name, if they are prime or composite.
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Title: My Favorite Number
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The activity allows students to review many of the number theory concepts. Students will pick a composite number write verbal expressions about the number, find the factors, prime factorization, list multiples, draw a cartoon character of the number, and write a word problem. The purpose of this activity is to be a review of the number theory topics taught during middle school.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMSU Project.
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] [MA2013] (6) 7: Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1100 with a common factor as a multiple of a sum of two whole numbers with no common factor. [6NS4] [MA2013] (6) 13: Write, read, and evaluate expressions in which letters stand for numbers. [6EE2] [MA2013] (6) 17: Use variables to represent numbers, and write expressions when solving a realworld or mathematical problem; understand that a variable can represent an unknown number or, depending on the purpose at hand, any number in a specified set. [6EE6]
Subject: Mathematics (4  6)
Title: My Favorite Number
Description: The activity allows students to review many of the number theory concepts. Students will pick a composite number write verbal expressions about the number, find the factors, prime factorization, list multiples, draw a cartoon character of the number, and write a word problem. The purpose of this activity is to be a review of the number theory topics taught during middle school.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMSU Project.
Thinkfinity Lesson Plans
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Title: The Factor Game: Activity Sheet
Description:
This reproducible activity sheet, from an Illuminations lesson, guides students in their exploration of factors. They consider strategy for playing the Factor Game on a 49board and reflect on the importance of factors in the establishment of a 24hour day.
Standard(s): [MA2013] (6) 7: Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1100 with a common factor as a multiple of a sum of two whole numbers with no common factor. [6NS4]
Subject: Mathematics Title: The Factor Game: Activity Sheet
Description: This reproducible activity sheet, from an Illuminations lesson, guides students in their exploration of factors. They consider strategy for playing the Factor Game on a 49board and reflect on the importance of factors in the establishment of a 24hour day. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Classifying Numbers
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In this lesson, one of a multipart unit from Illuminations, students use Venn diagrams to organize information about numbers. Using the Product Game board, students look for relationships and characteristics of numbers to determine what numbers belong to a descriptor and what numbers belong to more than one descriptor.
Standard(s): [MA2013] (6) 5: Fluently divide multidigit numbers using the standard algorithm. [6NS2] [MA2013] (6) 7: Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1100 with a common factor as a multiple of a sum of two whole numbers with no common factor. [6NS4] [MA2013] (6) 13: Write, read, and evaluate expressions in which letters stand for numbers. [6EE2] [MA2013] (7) 7: Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. [7EE1]
Subject: Mathematics Title: Classifying Numbers
Description: In this lesson, one of a multipart unit from Illuminations, students use Venn diagrams to organize information about numbers. Using the Product Game board, students look for relationships and characteristics of numbers to determine what numbers belong to a descriptor and what numbers belong to more than one descriptor. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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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): [MA2013] (3) 1: Interpret products of whole numbers, e.g., interpret 5 x 7 as the total number of objects in 5 groups of 7 objects each. [3OA1] [MA2013] (3) 5: Apply properties of operations as strategies to multiply and divide. (Students need not use formal terms for these properties.) [3OA5] [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] [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] [MA2013] (6) 7: Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1100 with a common factor as a multiple of a sum of two whole numbers with no common factor. [6NS4] [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: The Factor Game
Description:
In this Illuminations lesson, students play the Factor Game, which engages students in a friendly contest where strategies involve distinguishing between numbers with many factors and numbers with few factors. Students are then guided through an analysis of game strategies and introduced to the definitions of prime and composite numbers.
Standard(s): [MA2013] (3) 6: Understand division as an unknownfactor problem. [3OA6] [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] [MA2013] (6) 7: Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1100 with a common factor as a multiple of a sum of two whole numbers with no common factor. [6NS4]
Subject: Mathematics Title: The Factor Game
Description: In this Illuminations lesson, students play the Factor Game, which engages students in a friendly contest where strategies involve distinguishing between numbers with many factors and numbers with few factors. Students are then guided through an analysis of game strategies and introduced to the definitions of prime and composite numbers. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8
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Title: Look for Patterns
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In this lesson, one of a multipart unit from Illuminations, students further develop their understanding of ratio, proportion, and least common multiple.
Standard(s): [MA2013] (6) 1: Understand the concept of a ratio, and use ratio language to describe a ratio relationship between two quantities. [6RP1] [MA2013] (6) 3: Use ratio and rate reasoning to solve realworld and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. [6RP3] [MA2013] (6) 7: Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1100 with a common factor as a multiple of a sum of two whole numbers with no common factor. [6NS4] [MA2013] (7) 1: Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities measured in like or different units. [7RP1] [MA2013] (7) 2: Recognize and represent proportional relationships between quantities. [7RP2]
Subject: Mathematics Title: Look for Patterns
Description: In this lesson, one of a multipart unit from Illuminations, students further develop their understanding of ratio, proportion, and least common multiple. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Playing the Product Game
Description:
In this lesson, one of a multipart unit from Illuminations, students learn the rules of and play the Product Game. In this game, players start with a set of given factors and then multiply to find the product. Students create their own game boards and develop strategies for winning the game.
Standard(s): [MA2013] (6) 5: Fluently divide multidigit numbers using the standard algorithm. [6NS2] [MA2013] (6) 7: Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1100 with a common factor as a multiple of a sum of two whole numbers with no common factor. [6NS4] [MA2013] (7) 7: Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. [7EE1]
Subject: Mathematics Title: Playing the Product Game
Description: In this lesson, one of a multipart unit from Illuminations, students learn the rules of and play the Product Game. In this game, players start with a set of given factors and then multiply to find the product. Students create their own game boards and develop strategies for winning the game. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
Thinkfinity Podcasts
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Title: What Is a Prime Number?
Description:
Division will definitely factor into today's mathematical Wonder of the Day. April is Math Education Month, so join us on a numerical journey while you're still in the prime of your life!,
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] [MA2013] (6) 7: Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1100 with a common factor as a multiple of a sum of two whole numbers with no common factor. [6NS4]
Subject: CrossDisciplinary  Informal Education , Mathematics  Algebra , Mathematics  Applied Mathematics , Mathematics  Arithmetic , Mathematics  Calculus , Mathematics  Discrete Mathematics , Mathematics  Functions , Mathematics  Geometry , Mathematics  Measurement , Mathematics  Number Sense , Mathematics  Number Theory , Mathematics  Patterns , Mathematics  Probability , Mathematics  Statistics , Mathematics  Trigonometry , Informal Education  Homework Help/Tutoring Title: What Is a Prime Number?
Description: Division will definitely factor into today's mathematical Wonder of the Day. April is Math Education Month, so join us on a numerical journey while you're still in the prime of your life!, Thinkfinity Partner: Wonderopolis Grade Span: K,PreK,1,2,3,4,5
Web Resources
Interactives/Games
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Title: Sketch's World Greatest Common Factor
Description:
Sketch's World is a fun, interactive game that provides practice finding the greatest common factor of two numbers.
Standard(s): [MA2013] (6) 7: Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1100 with a common factor as a multiple of a sum of two whole numbers with no common factor. [6NS4]
Sketch's World Greatest Common Factor
http://fun4thebrain....
Sketch's World is a fun, interactive game that provides practice finding the greatest common factor of two numbers.
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Title: Snow Ball Fight Least Common Mulitple
Description:
Snowball fight is a fun, interactive game that provides practice with finding the least common multiple of two numbers.
Standard(s): [MA2013] (6) 7: Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1100 with a common factor as a multiple of a sum of two whole numbers with no common factor. [6NS4]
Snow Ball Fight Least Common Mulitple
http://www.fun4thebr...
Snowball fight is a fun, interactive game that provides practice with finding the least common multiple of two numbers.
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Title: Fruity Fun with the Greatest Common Factor (GCF)
Description:
In this interactive game,students will find the greatest common factor of two numbers. Fruit floats around the screen with a factor on it. Students compare the two numbers and must "shoot" the fruit with the correct GCF. Students may choose relaxed mode or timed mode and Levels 1,2,or 3. Students may email the game results to the teacher.
Standard(s): [MA2013] (6) 7: Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1100 with a common factor as a multiple of a sum of two whole numbers with no common factor. [6NS4]
Fruity Fun with the Greatest Common Factor (GCF)
http://www.sheppards...
In this interactive game,students will find the greatest common factor of two numbers. Fruit floats around the screen with a factor on it. Students compare the two numbers and must "shoot" the fruit with the correct GCF. Students may choose relaxed mode or timed mode and Levels 1,2,or 3. Students may email the game results to the teacher.
Thinkfinity Learning Activities
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Title: What Is a Prime Number?
Description:
Division will definitely factor into today's mathematical Wonder of the Day. April is Math Education Month, so join us on a numerical journey while you're still in the prime of your life!,
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] [MA2013] (6) 7: Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1100 with a common factor as a multiple of a sum of two whole numbers with no common factor. [6NS4]
Subject: CrossDisciplinary  Informal Education , Mathematics  Algebra , Mathematics  Applied Mathematics , Mathematics  Arithmetic , Mathematics  Calculus , Mathematics  Discrete Mathematics , Mathematics  Functions , Mathematics  Geometry , Mathematics  Measurement , Mathematics  Number Sense , Mathematics  Number Theory , Mathematics  Patterns , Mathematics  Probability , Mathematics  Statistics , Mathematics  Trigonometry , Informal Education  Homework Help/Tutoring Title: What Is a Prime Number?
Description: Division will definitely factor into today's mathematical Wonder of the Day. April is Math Education Month, so join us on a numerical journey while you're still in the prime of your life!, Thinkfinity Partner: Wonderopolis Grade Span: K,PreK,1,2,3,4,5
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Title: Factor Game
Description:
This interactive game, from Illuminations, allows students to exercise their factoring ability. They can play against a friend or the computer as they take turns choosing a number and identifying all of its factors.
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] [MA2013] (6) 5: Fluently divide multidigit numbers using the standard algorithm. [6NS2] [MA2013] (6) 7: Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1100 with a common factor as a multiple of a sum of two whole numbers with no common factor. [6NS4] [MA2013] (7) 7: Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. [7EE1]
Subject: Mathematics Title: Factor Game
Description: This interactive game, from Illuminations, allows students to exercise their factoring ability. They can play against a friend or the computer as they take turns choosing a number and identifying all of its factors. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8

