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Title: Creative Factor Trees
Description:
Students will explore and review prime and composite numbers. Students will also build a factor tree model by displaying how to write out a prime factorization of a number correctly, how to identify prime and composite numbers, and how to check their results. This handson approach allows students to use different mediums and practice their understanding of mathematics.
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]
Subject: Mathematics (4)
Title: Creative Factor Trees
Description: Students will explore and review prime and composite numbers. Students will also build a factor tree model by displaying how to write out a prime factorization of a number correctly, how to identify prime and composite numbers, and how to check their results. This handson approach allows students to use different mediums and practice their understanding of mathematics.
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Title: Hanging Out with Prime Factorization
Description:
During this lesson, students will review factors, prime and composite numbers. Students will also create a mobile that show the prime factorization of the number of their choice.
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]
Subject: Mathematics (4)
Title: Hanging Out with Prime Factorization
Description: During this lesson, students will review factors, prime and composite numbers. Students will also create a mobile that show the prime factorization of the number of their choice.
This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMSU Project.
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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] (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 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): [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]
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: 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): [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: 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] (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: Super Bowl Scores
Description:
In this lesson, one of a multipart unit from Illuminations, students explore the connections between mathematics and football. Students analyze information about football scores represented graphically and then discuss, describe, read, and write about the graphs and the information they contain.
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]
Subject: Mathematics Title: Super Bowl Scores
Description: In this lesson, one of a multipart unit from Illuminations, students explore the connections between mathematics and football. Students analyze information about football scores represented graphically and then discuss, describe, read, and write about the graphs and the information they contain. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8
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] (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
Lesson Plans
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Title: The Product Game
Description:
In the Factor Game, students start with a number and find its factors. In the Product Game, students start with factors and multiply to find the product. The two games work well together because they help students to see the relationship between products and factors.
There are four lessons in this unit.
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]
The Product Game
http:///illumination...
In the Factor Game, students start with a number and find its factors. In the Product Game, students start with factors and multiply to find the product. The two games work well together because they help students to see the relationship between products and factors.
There are four lessons in this unit.
Informational Materials
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Title: Factoring Numbers
Description:
This Free Math Help page explains factoring.
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]
Factoring Numbers
http://www.freemathh...
This Free Math Help page explains factoring.
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Title: Factoring Numbers
Description:
On this page you will find an explanation for factoring numbers. The first part is simple and something you would probably want to use. The later part of the explanation is a little complicated so you might want to skip that part with your students.
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]
Factoring Numbers
http://www.purplemat...
On this page you will find an explanation for factoring numbers. The first part is simple and something you would probably want to use. The later part of the explanation is a little complicated so you might want to skip that part with your students.
Interactives/Games
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Title: Factor PacMan
Description:
This is an intense game where the students "eat" the factors of the given multiple, while avoiding the nonfactors and the monster.
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]
Factor PacMan
http://www.hoodamath...
This is an intense game where the students "eat" the factors of the given multiple, while avoiding the nonfactors and the monster.
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Title: Number Cop
Description:
This game helps students with multiplication and multiples.
Standard(s): [MA2013] (6) 5: Fluently divide multidigit numbers using the standard algorithm. [6NS2]
Number Cop
http://hotmath.com/h...
This game helps students with multiplication and multiples.
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Title: Prime Landing
Description:
The student will land the space ship by knowing their prime numbers. Students will need to be able to identify prime numbers quickly to land the ship before it orbits wildly into space.
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]
Prime Landing
http://www.hoodamath...
The student will land the space ship by knowing their prime numbers. Students will need to be able to identify prime numbers quickly to land the ship before it orbits wildly into space.
Teacher Tools
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Title: The Product Game
Description:
In the Factor Game, students start with a number and find its factors. In the Product Game, students start with factors and multiply to find the product. The two games work well together because they help students to see the relationship between products and factors.
There are four lessons in this unit.
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]
The Product Game
http:///illumination...
In the Factor Game, students start with a number and find its factors. In the Product Game, students start with factors and multiply to find the product. The two games work well together because they help students to see the relationship between products and factors.
There are four lessons in this unit.
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: 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: 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] (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
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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): [MA2013] (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
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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] (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

