**Title:** Double Your Flavor

**Description:**
As students begin memorizing the multiplication math facts, they will need many ways to visualize and practice the multiplication concepts. In this lesson they will begin practice with arrays, skip counting, and moving manipulatives for the 0,1,2,3,and 4 times tables.
**Standard(s): **

[MA2015] (3) 12: Multiply one-digit whole numbers by multiples of 10 in the range 10 - 90 (e.g., 9 x 80, 5 x 60) using strategies based on place value and properties of operations. [3-NBT3]

**Subject:**Mathematics (2 - 3), or Technology Education (K - 2)

**Title:**Double Your Flavor

**Description:**As students begin memorizing the multiplication math facts, they will need many ways to visualize and practice the multiplication concepts. In this lesson they will begin practice with arrays, skip counting, and moving manipulatives for the 0,1,2,3,and 4 times tables.

**Title:** Multiplying Meanings

**Description:**
In this eight-lesson 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): **

[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:**Language Arts,Mathematics

**Title:**Multiplying Meanings

**Description:**In this eight-lesson 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

**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:** 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:** Keeping It All Together

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students practice multiplication facts by playing card games and singing skip-counting songs. Students modify their multiplication charts to record the facts of which they are sure.
**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:**Keeping It All Together

**Description:**In this lesson, one of a multi-part unit from Illuminations, students practice multiplication facts by playing card games and singing skip-counting songs. Students modify their multiplication charts to record the facts of which they are sure.

**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:** 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:** More Patterns with Products

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students use an interactive Web site to find patterns in the multiplication tables. They then practice multiplication facts and record their current level of mastery of the multiplication facts on their personal multiplication chart.
**Standard(s): **

[MA2015] (3) 9: Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. [3-OA9]

**Subject:**Mathematics

**Title:**More Patterns with Products

**Description:**In this lesson, one of a multi-part unit from Illuminations, students use an interactive Web site to find patterns in the multiplication tables. They then practice multiplication facts and record their current level of mastery of the multiplication facts on their personal multiplication chart.

**Thinkfinity Partner:**Illuminations

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

**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:** Multiplication Fact Mastery Record

**Description:**
This reproducible activity, from an Illuminations lesson, features a multiplication table for the numbers 0-9. In the lesson, students generate products using a number line model.
**Standard(s): **

[MA2015] (3) 9: Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. [3-OA9]

**Subject:**Mathematics

**Title:**Multiplication Fact Mastery Record

**Description:**This reproducible activity, from an Illuminations lesson, features a multiplication table for the numbers 0-9. In the lesson, students generate products using a number line model.

**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:** Finding Products

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

[MA2015] (5) 22: Relate volume to the operations of multiplication and addition, and solve real-world and mathematical problems involving volume. [5-MD5]

**Subject:**Mathematics

**Title:**Finding Products

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

**Title:** Balance Beam Discoveries

**Description:**
This lesson, one of a multi-part unit from Illuminations, encourages students to explore two models of multiplication: the balance beam and the inverse of multiplication. This exploration leads naturally into representing multiplication facts in equation form. In addition to extending their understanding of the concept of multiplication, students begin to practice the multiplication facts by playing an interactive online game.
**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:**Balance Beam Discoveries

**Description:**This lesson, one of a multi-part unit from Illuminations, encourages students to explore two models of multiplication: the balance beam and the inverse of multiplication. This exploration leads naturally into representing multiplication facts in equation form. In addition to extending their understanding of the concept of multiplication, students begin to practice the multiplication facts by playing an interactive online game.

**Thinkfinity Partner:**Illuminations

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

**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:** 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:** Primary Krypto

**Description:**
This student interactive, from Illuminations, allows students to practice addition, subtraction, multiplication and addition in a fun environment. In the game of Krypto, students combine numbers with mathematical operations to obtain a target number.
**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]

**Subject:**Mathematics

**Title:**Primary Krypto

**Description:**This student interactive, from Illuminations, allows students to practice addition, subtraction, multiplication and addition in a fun environment. In the game of Krypto, students combine numbers with mathematical operations to obtain a target number.

**Thinkfinity Partner:**Illuminations

**Grade Span:**K,PreK,1,2,3,4,5,6,7,8

**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