**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 hands-on approach allows students to use different mediums and practice their understanding of mathematics.
**Standard(s): **

[MA2015] (4) 4: Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1-100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1-100 is prime or composite. [4-OA4]

**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 hands-on approach allows students to use different mediums and practice their understanding of mathematics.

**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, GEMS-U Project.
**Standard(s): **

[MA2015] (4) 4: Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1-100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1-100 is prime or composite. [4-OA4]

**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, GEMS-U Project.

**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, GEMS-U Project.
**Standard(s): **

[MA2015] (6) 17: Use variables to represent numbers, and write expressions when solving a real-world 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. [6-EE6]

**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, GEMS-U Project.

**Title:** The Product Game

**Description:**
In this four-lesson 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 1-100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1-100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1-100 is prime or composite. [4-OA4]

**Subject:**Mathematics

**Title:**The Product Game

**Description:**In this four-lesson 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

**Title:** Looking for Patterns

**Description:**
This lesson, one of a multi-part 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. [5-OA3]

**Subject:**Mathematics

**Title:**Looking for Patterns

**Description:**This lesson, one of a multi-part 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

**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): **

[MA2015] (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 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor. [6-NS4]

**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

**Title:** Super Bowl Scores

**Description:**
In this lesson, one of a multi-part 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): **

[MA2015] (4) 4: Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1-100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1-100 is prime or composite. [4-OA4]

**Subject:**Mathematics

**Title:**Super Bowl Scores

**Description:**In this lesson, one of a multi-part 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

**Title:** Is it Prime or Composite?

**Digital Tool:**
Intel Education Resources **Web Address URL:**
http://inteleducationresources.intel.co.uk/content/primary/maths/prime_numbers/index.html **Standard(s): **

[MA2015] (4) 4: Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1-100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1-100 is prime or composite. [4-OA4]**Digital Tool Description:** This digital tool helps students to identify, test for and list prime and composite numbers.

**Title:**Is it Prime or Composite?

**Digital Tool:**Intel Education Resources

**Digital Tool Description:**This digital tool helps students to identify, test for and list prime and composite numbers.

**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): **

[MA2015] (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 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor. [6-NS4]

**Subject:**Cross-Disciplinary - 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

**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 two-dimensional figures in a hierarchy based on properties. [5-G4]

**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

**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 e-example from Illuminations contains an interactive version of a game that can be used in the grades 3-5 classroom to support students' learning about fractions. e-Math Investigations are selected e-examples from the electronic version of the Principles and Standards of School Mathematics (PSSM). The e-examples are part of the electronic version of the PSSM document. Given their interactive nature and focused discussion tied to the PSSM document, the e-examples are natural companions to the i-Math investigations.
**Standard(s): **

[MA2015] (5) 26: Classify two-dimensional figures in a hierarchy based on properties. [5-G4]

**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 e-example from Illuminations contains an interactive version of a game that can be used in the grades 3-5 classroom to support students' learning about fractions. e-Math Investigations are selected e-examples from the electronic version of the Principles and Standards of School Mathematics (PSSM). The e-examples are part of the electronic version of the PSSM document. Given their interactive nature and focused discussion tied to the PSSM document, the e-examples are natural companions to the i-Math investigations.

**Thinkfinity Partner:**Illuminations

**Grade Span:**3,4,5

**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): **

[MA2015] (7) 7: Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. [7-EE1]

**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

**Title:** Factorize

**Description:**
This student interactive, from Illuminations, allows students to visually explore the concept of factors by creating rectangular arrays with an area equal to the product of the factors. They can choose whether or not to use the commutative property when identifying factors.
**Standard(s): **

[MA2015] (6) 5: Fluently divide multi-digit numbers using the standard algorithm. [6-NS2]

**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

**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): **

[MA2015] (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 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor. [6-NS4]

**Subject:**Cross-Disciplinary - 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