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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 6 Unit 1

Dividing Fractions

Lesson 5: How Many Groups? (Part 2)

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Nodes
Elementary Definition--Multiplication and Division Concepts--MultiplicationExpression Elementary Definition--Multiplication and Division Concepts--Multiplication Expression Multiplication Expression

Topic

Multiplication and Division

Definition

A multiplication expression is a mathematical phrase that involves multiplication, such as 5 × 7.

Description

Multiplication expressions are used to represent the multiplication of numbers in a concise form. For example, the expression 

6 × 8 

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--Factor Elementary Definition--Multiplication and Division Concepts--Factor Factor

Topic

Multiplication and Division

Definition

A factor is a number that divides another number exactly without leaving a remainder.

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--Quotient Elementary Definition--Multiplication and Division Concepts--Quotient Quotient

Topic

Multiplication and Division

Definition

The quotient is the result of dividing one number by another.

Description

The quotient is the result obtained when one number is divided by another. For example, the quotient of 20 divided by 4 is 5. Understanding quotients is essential for solving problems involving division and for understanding concepts such as fractions and ratios. Quotients are used in various fields, including finance, engineering, and science, to model and solve real-world problems. Teaching students about quotients helps them develop a strong foundation in mathematics and enhances their ability to solve complex problems.

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--SkipCounting Elementary Definition--Multiplication and Division Concepts--Skip Counting Skip Counting

Topic

Multiplication and Division

Definition

Skip counting is the process of counting forward by numbers other than one, such as by 2s, 5s, or 10s.

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--Multiple Elementary Definition--Multiplication and Division Concepts--Multiple Multiple

Topic

Multiplication and Division

Definition

A multiple is the product of a number and a whole number.

Description

Multiples are numbers obtained by multiplying a given number by a whole number. For example, the multiples of 3 include 3, 6, 9, 12, and so on. Understanding multiples is crucial for solving problems involving patterns, sequences, and divisibility. They are used in various real-world applications, such as scheduling, where events occur at regular intervals, and in computer science for data organization. Teaching students about multiples helps them identify patterns in numbers and develop their mathematical reasoning skills.

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--DivisionExpression Elementary Definition--Multiplication and Division Concepts--Division Expression Division Expression

Topic

Multiplication and Division

Definition

A division expression is a mathematical phrase that involves division, such as 12 ÷ 3.

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--SkipCounting Elementary Definition--Multiplication and Division Concepts--Skip Counting Skip Counting

Topic

Multiplication and Division

Definition

Skip counting is the process of counting forward by numbers other than one, such as by 2s, 5s, or 10s.

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--MultiplicationExpression Elementary Definition--Multiplication and Division Concepts--Multiplication Expression Multiplication Expression

Topic

Multiplication and Division

Definition

A multiplication expression is a mathematical phrase that involves multiplication, such as 5 × 7.

Description

Multiplication expressions are used to represent the multiplication of numbers in a concise form. For example, the expression 

6 × 8 

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--DistributiveProperty Elementary Definition--Multiplication and Division Concepts--Distributive Property Distributive Property

Topic

Multiplication and Division

Definition

The distributive property states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products.

Description

The distributive property is a crucial concept in algebra and arithmetic, which states that 

a(b + c) = ab + ac

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--IdentityPropertyMultiplication Elementary Definition--Multiplication and Division Concepts--Identity Property of Multiplication Identity Property of Multiplication

Topic

Multiplication and Division

Definition

The identity property of multiplication states that any number multiplied by 1 remains unchanged.

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--AssociativeProperty Elementary Definition--Multiplication and Division Concepts--Associative Property Associative Property

Topic

Multiplication and Division

Definition

The associative property states that the way in which numbers are grouped does not change their sum or product.

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--FactFamily Elementary Definition--Multiplication and Division Concepts--Fact Family Fact Family

Topic

Multiplication and Division

Definition

A fact family is a group of related mathematical facts using the same numbers.

Description

Fact families are sets of related addition, subtraction, multiplication, and division facts that use the same numbers. For example, the fact family for 3, 4, and 12 includes the multiplication facts 

3 × 4 = 12 and 4 × 3 = 12

and the division facts 

12 ÷ 3 = 4 and 12 ÷ 4 = 3

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--OddNumber Elementary Definition--Multiplication and Division Concepts--Odd Number Odd Number

Topic

Multiplication and Division

Definition

An odd number is a whole number that is not divisible by 2 with no remainder.

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--IdentityPropertyMultiplication Elementary Definition--Multiplication and Division Concepts--Identity Property of Multiplication Identity Property of Multiplication

Topic

Multiplication and Division

Definition

The identity property of multiplication states that any number multiplied by 1 remains unchanged.

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--Remainder Elementary Definition--Multiplication and Division Concepts--Remainder body { table { width: 75%; border-collapse: collapse; border: 2px solid green; margin-left:auto; margin-right:auto;} th, td { border: 1px solid green; padding: 5px; text-align: center; } } Remainder

Topic

Multiplication and Division

Definition

The remainder is the amount left over after division when one number does not divide the other exactly.

Description

The remainder is the leftover amount after dividing one number by another. For example, 

When 17 is divided by 5, the quotient is 3 and the remainder is 2.

 

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--CommutativeProperty Elementary Definition--Multiplication and Division Concepts--Commutative Property Commutative Property

Topic

Multiplication and Division

Definition

The commutative property states that the order of numbers does not change their sum or product.

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--EvenNumber Elementary Definition--Multiplication and Division Concepts--Even Number Even Number

Topic

Multiplication and Division

Definition

An even number is exactly divisible by 2.

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--OddNumber Elementary Definition--Multiplication and Division Concepts--Odd Number Odd Number

Topic

Multiplication and Division

Definition

An odd number is a whole number that is not divisible by 2 with no remainder.

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--Multiplying Elementary Definition--Multiplication and Division Concepts--Multiplying body { table { width: 75%; border-collapse: collapse; border: 2px solid green; margin-left:auto; margin-right:auto;} th, td { border: 1px solid green; padding: 5px; text-align: center; } } Multiplying

Topic

Multiplication and Division

Definition

Multiplying is the process of combining equal groups to find the total number of items.

Description

Multiplying involves adding a number to itself a specified number of times to find the total. For example, 

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--Remainder Elementary Definition--Multiplication and Division Concepts--Remainder body { table { width: 75%; border-collapse: collapse; border: 2px solid green; margin-left:auto; margin-right:auto;} th, td { border: 1px solid green; padding: 5px; text-align: center; } } Remainder

Topic

Multiplication and Division

Definition

The remainder is the amount left over after division when one number does not divide the other exactly.

Description

The remainder is the leftover amount after dividing one number by another. For example, 

When 17 is divided by 5, the quotient is 3 and the remainder is 2.

 

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--Division Elementary Definition--Multiplication and Division Concepts--Division Division

Topic

Multiplication and Division

Definition

Division is the operation of finding how many times one number is contained within another.

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--Multiplication Elementary Definition--Multiplication and Division Concepts--Multiplication Multiplication

Topic

Multiplication and Division

Definition

Multiplication is the arithmetic operation of combining equal groups to find the total number of items.

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--Dividing Elementary Definition--Multiplication and Division Concepts--Dividing Dividing

Topic

Multiplication and Division

Definition

Dividing is the process of determining how many times one number is contained within another.

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--Dividing Elementary Definition--Multiplication and Division Concepts--Dividing Dividing

Topic

Multiplication and Division

Definition

Dividing is the process of determining how many times one number is contained within another.

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--TrueEquation Elementary Definition--Multiplication and Division Concepts--True Equation True Equation

Topic

Multiplication and Division

Definition

A true equation is a mathematical statement that asserts equality between two expressions that are equal.

Description

True equations are essential in mathematics as they represent accurate relationships between numbers and expressions. For example, the equation 

2 + 3 = 5 

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--FalseEquation Elementary Definition--Multiplication and Division Concepts--False Equation False Equation

Topic

Multiplication and Division

Definition

A false equation is a mathematical statement that shows equality between two expressions that are not equal.

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--Dividing Elementary Definition--Multiplication and Division Concepts--Dividing Dividing

Topic

Multiplication and Division

Definition

Dividing is the process of determining how many times one number is contained within another.

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--TrueEquation Elementary Definition--Multiplication and Division Concepts--True Equation True Equation

Topic

Multiplication and Division

Definition

A true equation is a mathematical statement that asserts equality between two expressions that are equal.

Description

True equations are essential in mathematics as they represent accurate relationships between numbers and expressions. For example, the equation 

2 + 3 = 5 

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--Title Elementary Definition--Multiplication and Division Concepts--Title This is part of a collection of terms and definitions related to multiplication and division, ideal for use in an early elementary classroom. These terms are also available in a multimedia format including audio. Note: The download is a PNG file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Create a Slide Show

Subscribers can use Slide Show Creator to create a slide show from the complete collection of math definitions on this topic.
Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--Multiplication Elementary Definition--Multiplication and Division Concepts--Multiplication Multiplication

Topic

Multiplication and Division

Definition

Multiplication is the arithmetic operation of combining equal groups to find the total number of items.

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--Multiplying Elementary Definition--Multiplication and Division Concepts--Multiplying body { table { width: 75%; border-collapse: collapse; border: 2px solid green; margin-left:auto; margin-right:auto;} th, td { border: 1px solid green; padding: 5px; text-align: center; } } Multiplying

Topic

Multiplication and Division

Definition

Multiplying is the process of combining equal groups to find the total number of items.

Description

Multiplying involves adding a number to itself a specified number of times to find the total. For example, 

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--Title Elementary Definition--Multiplication and Division Concepts--Title This is part of a collection of terms and definitions related to multiplication and division, ideal for use in an early elementary classroom. These terms are also available in a multimedia format including audio. Note: The download is a PNG file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Create a Slide Show

Subscribers can use Slide Show Creator to create a slide show from the complete collection of math definitions on this topic.
Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--OddNumber Elementary Definition--Multiplication and Division Concepts--Odd Number Odd Number

Topic

Multiplication and Division

Definition

An odd number is a whole number that is not divisible by 2 with no remainder.

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--Factor Elementary Definition--Multiplication and Division Concepts--Factor Factor

Topic

Multiplication and Division

Definition

A factor is a number that divides another number exactly without leaving a remainder.

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--DivisionExpression Elementary Definition--Multiplication and Division Concepts--Division Expression Division Expression

Topic

Multiplication and Division

Definition

A division expression is a mathematical phrase that involves division, such as 12 ÷ 3.

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--Factor Elementary Definition--Multiplication and Division Concepts--Factor Factor

Topic

Multiplication and Division

Definition

A factor is a number that divides another number exactly without leaving a remainder.

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--Multiple Elementary Definition--Multiplication and Division Concepts--Multiple Multiple

Topic

Multiplication and Division

Definition

A multiple is the product of a number and a whole number.

Description

Multiples are numbers obtained by multiplying a given number by a whole number. For example, the multiples of 3 include 3, 6, 9, 12, and so on. Understanding multiples is crucial for solving problems involving patterns, sequences, and divisibility. They are used in various real-world applications, such as scheduling, where events occur at regular intervals, and in computer science for data organization. Teaching students about multiples helps them identify patterns in numbers and develop their mathematical reasoning skills.

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--Product Elementary Definition--Multiplication and Division Concepts--Product Product

Topic

Multiplication and Division

Definition

The product is the result of multiplying two or more numbers together.

Description

The product is the outcome of multiplication. For example, the product of 4 and 5 is 20. Understanding products is essential for solving problems involving multiplication and for understanding concepts such as area and volume. Products are used in various fields, including finance, engineering, and science, to model and solve real-world problems. Teaching students about products helps them develop a strong foundation in mathematics and enhances their ability to solve complex problems.

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--Product Elementary Definition--Multiplication and Division Concepts--Product Product

Topic

Multiplication and Division

Definition

The product is the result of multiplying two or more numbers together.

Description

The product is the outcome of multiplication. For example, the product of 4 and 5 is 20. Understanding products is essential for solving problems involving multiplication and for understanding concepts such as area and volume. Products are used in various fields, including finance, engineering, and science, to model and solve real-world problems. Teaching students about products helps them develop a strong foundation in mathematics and enhances their ability to solve complex problems.

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--FactFamily Elementary Definition--Multiplication and Division Concepts--Fact Family Fact Family

Topic

Multiplication and Division

Definition

A fact family is a group of related mathematical facts using the same numbers.

Description

Fact families are sets of related addition, subtraction, multiplication, and division facts that use the same numbers. For example, the fact family for 3, 4, and 12 includes the multiplication facts 

3 × 4 = 12 and 4 × 3 = 12

and the division facts 

12 ÷ 3 = 4 and 12 ÷ 4 = 3

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--MultiplicationExpression Elementary Definition--Multiplication and Division Concepts--Multiplication Expression Multiplication Expression

Topic

Multiplication and Division

Definition

A multiplication expression is a mathematical phrase that involves multiplication, such as 5 × 7.

Description

Multiplication expressions are used to represent the multiplication of numbers in a concise form. For example, the expression 

6 × 8 

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--Array Elementary Definition--Multiplication and Division Concepts--Array Array

Topic

Multiplication and Division

Definition

An array is a systematic arrangement of objects, typically in rows and columns.

Multiplication Expressions and Equations
Elementary Definition--Multiplication and Division Concepts--Product Elementary Definition--Multiplication and Division Concepts--Product Product

Topic

Multiplication and Division

Definition

The product is the result of multiplying two or more numbers together.

Description

The product is the outcome of multiplication. For example, the product of 4 and 5 is 20. Understanding products is essential for solving problems involving multiplication and for understanding concepts such as area and volume. Products are used in various fields, including finance, engineering, and science, to model and solve real-world problems. Teaching students about products helps them develop a strong foundation in mathematics and enhances their ability to solve complex problems.

Multiplication Expressions and Equations
Worksheet: Solving Division Equations Worksheet: Solving Division Equations Worksheet: Solving Division Equations

Students use their knowledge of division facts to solve one-step equations.

Note: The download is a PDF file.

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Worksheet Library

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Division Expressions and Equations
Worksheet: Solving Division Equations Worksheet: Solving Division Equations Worksheet: Solving Division Equations

Students use their knowledge of division facts to solve one-step equations.

Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Division Expressions and Equations
Worksheet: Solving Division Equations Worksheet: Solving Division Equations Worksheet: Solving Division Equations

Students use their knowledge of division facts to solve one-step equations.

Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Division Expressions and Equations
INSTRUCTIONAL RESOURCE: Tutorial: Division Equations INSTRUCTIONAL RESOURCE: Tutorial: Division Equations INSTRUCTIONAL RESOURCE: Tutorial: Division Equations

This tutorial provides an overview of solving one-step division equations.

This is part of a collection of math tutorials on a variety of math topics. To see the complete collection of these resources, click on this link.

Library of Instructional Resources

To see the complete library of Instructional Resources , click on this link.

Division Expressions and Equations
INSTRUCTIONAL RESOURCE: Tutorial: Division Equations INSTRUCTIONAL RESOURCE: Tutorial: Division Equations INSTRUCTIONAL RESOURCE: Tutorial: Division Equations

This tutorial provides an overview of solving one-step division equations.

This is part of a collection of math tutorials on a variety of math topics. To see the complete collection of these resources, click on this link.

Library of Instructional Resources

To see the complete library of Instructional Resources , click on this link.

Division Expressions and Equations
INSTRUCTIONAL RESOURCE: Tutorial: Division Equations INSTRUCTIONAL RESOURCE: Tutorial: Division Equations INSTRUCTIONAL RESOURCE: Tutorial: Division Equations

This tutorial provides an overview of solving one-step division equations.

This is part of a collection of math tutorials on a variety of math topics. To see the complete collection of these resources, click on this link.

Library of Instructional Resources

To see the complete library of Instructional Resources , click on this link.

Division Expressions and Equations
Interactive Math Game--DragNDrop Math--Division Equations Interactive Math Game--DragNDrop--Division Equations Interactive Math Game--DragNDrop Math--Division Equations

In this game, students use their basic facts to solve division equations.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

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Division Expressions and Equations