**Title:** Burst into Jolly Multiplication & Division Factors!

**Description:**
The following lesson will serve as a hands-on math activity reviewing the 2’s and 3’s multiplication and division factors. Students will examine the relationship between multiplication and division using Starburst and Jolly Rancher candy counters. In addition, the students will work in cooperative learning groups to solve multiplication and division problems using the candy counters. Cooperative learning groups may be created to assist at-risk students if needed (pair low achievers with high achievers).
**Standard(s): **

[MA2015] (3) 2: Interpret whole-number quotients of whole numbers, e.g., interpret 56 ÷ 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each. [3-OA2]

**Subject:**Mathematics (3)

**Title:**Burst into Jolly Multiplication & Division Factors!

**Description:**The following lesson will serve as a hands-on math activity reviewing the 2’s and 3’s multiplication and division factors. Students will examine the relationship between multiplication and division using Starburst and Jolly Rancher candy counters. In addition, the students will work in cooperative learning groups to solve multiplication and division problems using the candy counters. Cooperative learning groups may be created to assist at-risk students if needed (pair low achievers with high achievers).

**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): **

[MA2015] (3) 5: Apply properties of operations as strategies to multiply and divide. (Students need not use formal terms for these properties.) [3-OA5]

**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.

**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): **

[MA2015] (3) 5: Apply properties of operations as strategies to multiply and divide. (Students need not use formal terms for these properties.) [3-OA5]

**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.

**Title:** Budgeting for the Oregon Trail

**Description:**
As a part of the online collaborative unit, Westward Ho!, students will work in cooperative groups of 4-5 students to decide what items they need to take on the Oregon Trail, determine the cost of the items, and complete a ledger to inventory (keep up with) items used on the trail. Information will then be used as part of a multimedia slideshow journal describing the journey.
**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.) [4-OA2]

**Subject:**Mathematics (3 - 4)

**Title:**Budgeting for the Oregon Trail

**Description:**As a part of the online collaborative unit, Westward Ho!, students will work in cooperative groups of 4-5 students to decide what items they need to take on the Oregon Trail, determine the cost of the items, and complete a ledger to inventory (keep up with) items used on the trail. Information will then be used as part of a multimedia slideshow journal describing the journey.

**Title:** Multiplication Stories

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students practice memorization of multiplication facts where one factor is 6 or 7. They create multiplication stories, play a multiplication game, and then record their current level of mastery of the multiplication facts.
**Standard(s): **

[MA2015] (3) 4: Determine the unknown whole number in a multiplication or division equation relating three whole numbers. [3-OA4]

**Subject:**Mathematics

**Title:**Multiplication Stories

**Description:**In this lesson, one of a multi-part unit from Illuminations, students practice memorization of multiplication facts where one factor is 6 or 7. They create multiplication stories, play a multiplication game, and then record their current level of mastery of the multiplication facts.

**Thinkfinity Partner:**Illuminations

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

**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:** Exploring Equal Sets

**Description:**
This lesson, one of a multi-part unit from Illuminations, encourages students to explore the set model as a method for multiplication. Reading the children s book What Comes in 2 s, 3 s, and 4 s sets the stage for this lesson in which students find products using equal sets and present results in the form of a table. The students apply their knowledge about multiplication in the creation of pictographs.
**Standard(s): **

[MA2015] (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. [3-OA1]

**Subject:**Language Arts,Mathematics

**Title:**Exploring Equal Sets

**Description:**This lesson, one of a multi-part unit from Illuminations, encourages students to explore the set model as a method for multiplication. Reading the children s book What Comes in 2 s, 3 s, and 4 s sets the stage for this lesson in which students find products using equal sets and present results in the form of a table. The students apply their knowledge about multiplication in the creation of pictographs.

**Thinkfinity Partner:**Illuminations

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

**Title:** Times Six, Times Seven

**Description:**
In this six-lesson 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.) [4-OA2]

**Subject:**Mathematics

**Title:**Times Six, Times Seven

**Description:**In this six-lesson 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

**Title:** The First Race

**Description:**
In this lesson, one of a multi-part 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 one-digit numbers. [3-OA7]

**Subject:**Mathematics

**Title:**The First Race

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

**Title:** Classroom Paper

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students investigate data in connection with recyclable materials and develop plans to help the environment. Students gather and graph information about their classroom paper use over a period of several days and then interpret graphical information and use the data as a basis for future planning.
**Standard(s): **

[MA2015] (5) 24: Represent real-world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation. [5-G2]

**Subject:**Mathematics,Science

**Title:**Classroom Paper

**Description:**In this lesson, one of a multi-part unit from Illuminations, students investigate data in connection with recyclable materials and develop plans to help the environment. Students gather and graph information about their classroom paper use over a period of several days and then interpret graphical information and use the data as a basis for future planning.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2,3,4,5

**Title:** It's in the Cards

**Description:**
In this seven-lesson 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. [4-OA1]

**Subject:**Mathematics

**Title:**It's in the Cards

**Description:**In this seven-lesson 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

**Title:** Making Your Own Product Game

**Description:**
In this lesson, one of a multi-part 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. [6-EE2]

**Subject:**Mathematics

**Title:**Making Your Own Product Game

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

**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 one-digit whole number, and multiply two two-digit 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. [4-NBT5]**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.

**Title:** Learning Multiplication can be fun!

**Digital Tool:**
Balloon Invaders **Web Address URL:**
http://www.mathplayground.com/balloon_invaders.html **Standard(s): **

[MA2015] (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. [3-OA1]**Digital Tool Description:** This website allows the students to practice multiplication problems by having them shoot the balloon with the correct answer. The teacher can also choose exactly what type of multiplication to be practiced such as: 2s,3s,4s,etc. This website will help reinforce or even teach students multiplication. Also the repetitive nature of this game lends itself to easy memorization of multiplication facts. It is a game that can be used in a short amount of time as one game only lasts about 3 minutes.

**Title:**Learning Multiplication can be fun!

**Digital Tool:**Balloon Invaders

**Digital Tool Description:**This website allows the students to practice multiplication problems by having them shoot the balloon with the correct answer. The teacher can also choose exactly what type of multiplication to be practiced such as: 2s,3s,4s,etc. This website will help reinforce or even teach students multiplication. Also the repetitive nature of this game lends itself to easy memorization of multiplication facts. It is a game that can be used in a short amount of time as one game only lasts about 3 minutes.

**Title:** Ten Marks Personalized Math

**Digital Tool:**
Ten Marks **Web Address URL:**
http://www.tenmarks.com/ **Standard(s): **

[MA2015] (7) 6: Solve real-world and mathematical problems involving the four operations with rational numbers. (Computations with rational numbers extend the rules for manipulating fractions to complex fractions.) [7-NS3]**Digital Tool Description:** Ten Marks provides multiple choice questions for students in 2nd grade through Geometry. With a minimum of ten math subtopics per grade level, this tool can be used as an whole group or individual. The teacher manages the assignments and is able to view individualized reports. Students are guided through questions and have on screen access to audio/video instruction. When the assignment is complete, students receive immediate feedback and explanations for review. Access is available 24 hours/day, seven days per week.

**Title:**Ten Marks Personalized Math

**Digital Tool:**Ten Marks

**Digital Tool Description:**Ten Marks provides multiple choice questions for students in 2nd grade through Geometry. With a minimum of ten math subtopics per grade level, this tool can be used as an whole group or individual. The teacher manages the assignments and is able to view individualized reports. Students are guided through questions and have on screen access to audio/video instruction. When the assignment is complete, students receive immediate feedback and explanations for review. Access is available 24 hours/day, seven days per week.

**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:** 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 3-8. You can access reviews for additional grades and benchmarks using the navigation links at the top of the review.
**Standard(s): **

[MA2015] (4) 9: Fluently add and subtract multi-digit whole numbers using the standard algorithm. [4-NBT4]

**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 3-8. 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

**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:** Concentration

**Description:**
This student interactive from Illuminations allows students to play the classic game of Concentration by themselves or against a friend. The interactive can be used to review numbers, shapes, multiplication facts, fractions, decimals, and percents.
**Standard(s): **

[MA2015] (4) 23: Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement. [4-MD5]

**Subject:**Mathematics

**Title:**Concentration

**Description:**This student interactive from Illuminations allows students to play the classic game of Concentration by themselves or against a friend. The interactive can be used to review numbers, shapes, multiplication facts, fractions, decimals, and percents.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2,3,4,5

**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. [4-OA1]

**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

**Title:** Calculation Nation

**Description:**
Become a citizen of Calculation Nation! Play online math strategy games to learn about fractions, factors, multiples, symmetry and more, as well as practice important skills like basic multiplication and calculating area! Calculation Nation uses the power of the Web to let students challenge themselves and opponents from anywhere in the world. The element of competition adds an extra layer of excitement.
**Standard(s): **

[MA2015] DM1 (9-12) 1: Analyze topics from elementary number theory, including perfect numbers and prime numbers, to determine properties of integers. (Alabama)

**Subject:**Mathematics

**Title:**Calculation Nation

**Description:**Become a citizen of Calculation Nation! Play online math strategy games to learn about fractions, factors, multiples, symmetry and more, as well as practice important skills like basic multiplication and calculating area! Calculation Nation uses the power of the Web to let students challenge themselves and opponents from anywhere in the world. The element of competition adds an extra layer of excitement.

**Thinkfinity Partner:**Illuminations

**Grade Span:**3,4,5,6,7,8,9

**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