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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 6 Unit 1

Dividing Fractions

Lesson 1: Size of Divisor and Size of Quotient

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Nodes
Math Video Definition 31--Multiplication and Division Concepts--Multiplication Array Math Video Definition 31--Multiplication and Division Concepts--Multiplication Array Math Video Definition 31--Multiplication and Division Concepts--Multiplication Array

This is part of a collection of math video definitions related to the topics of Multiplication and Division, ideal for use in an early elementary classroom. Note: The download is an MP4 video.

Multiplication Expressions and Equations
Math Video Definition 30--Multiplication and Division Concepts--Multiplication Math Video Definition 30--Multiplication and Division Concepts--Multiplication Math Video Definition 30--Multiplication and Division Concepts--Multiplication

This is part of a collection of math video definitions related to the topics of Multiplication and Division, ideal for use in an early elementary classroom. Note: The download is an MP4 video.

Multiplication Expressions and Equations
Math Video Definition 27--Multiplication and Division Concepts--Long Division Math Video Definition 27--Multiplication and Division Concepts--Long Division Math Video Definition 27--Multiplication and Division Concepts--Long Division

This is part of a collection of math video definitions related to the topics of Multiplication and Division, ideal for use in an early elementary classroom. Note: The download is an MP4 video.

Multiplication Expressions and Equations
Animated Math Clip Art--Equations--Solving One-Step Division Equation 4 Animated Math Clip Art--Equations--Solving One-Step Division Equations 4 Animated Math Clip Art--Equations--Solving One-Step Subtraction Equations 4

Topic

Equations

Description

This animated clip art demonstrates solving one-step subtraction equations. The animation shows adding the same value to both sides of the equation to isolate the variable, emphasizing the importance of maintaining balance.

This visual tool is effective in teaching students the concept of solving equations. It helps students visualize the abstract process of balancing equations through a clear, step-by-step example. This clip art can be used in lessons to reinforce understanding of subtraction equations.

Solving One-Step Equations
Animated Math Clip Art--Equations--Solving One-Step Division Equation 3 Animated Math Clip Art--Equations--Solving One-Step Division Equations 3 Animated Math Clip Art--Equations--Solving One-Step Subtraction Equations 3

Topic

Equations

Description

This animated clip art demonstrates solving one-step subtraction equations. The animation shows adding the same value to both sides of the equation to isolate the variable, emphasizing the importance of maintaining balance.

This visual tool is effective in teaching students the concept of solving equations. It helps students visualize the abstract process of balancing equations through a clear, step-by-step example. This clip art can be used in lessons to reinforce understanding of subtraction equations.

Solving One-Step Equations
Animated Math Clip Art--Equations--Solving One-Step Division Equation 2 Animated Math Clip Art--Equations--Solving One-Step Division Equations 2 Animated Math Clip Art--Equations--Solving One-Step Subtraction Equations 2

Topic

Equations

Description

This animated clip art demonstrates solving one-step subtraction equations. The animation shows adding the same value to both sides of the equation to isolate the variable, emphasizing the importance of maintaining balance.

This visual tool is effective in teaching students the concept of solving equations. It helps students visualize the abstract process of balancing equations through a clear, step-by-step example. This clip art can be used in lessons to reinforce understanding of subtraction equations.

Solving One-Step Equations
Animated Math Clip Art--Equations--Solving One-Step Division Equation 1 Animated Math Clip Art--Equations--Solving One-Step Division Equations 1 Animated Math Clip Art--Equations--Solving One-Step Subtraction Equations 1

Topic

Equations

Description

This animated clip art demonstrates solving one-step subtraction equations. The animation shows adding a constant to both sides of the equation to isolate the variable, emphasizing the importance of maintaining balance.

This visual tool is effective in teaching students the concept of solving equations. It helps students visualize the abstract process of balancing equations through a clear, step-by-step example. This clip art can be used in lessons to reinforce understanding of subtraction equations.

Solving One-Step Equations
Definition--Inequality Concepts--Solving One-Step Division Inequalities Definition--Inequality Concepts--Solving One-Step Division Inequalities Definition--Inequality Concepts--Solving One-Step Division Inequalities

This is a collection of definitions related to inequalities. This includes inequalities that include numbers only and those with one or two variables.

Inequalities
INSTRUCTIONAL RESOURCE: Tutorial: Writing and Solving Division Equations INSTRUCTIONAL RESOURCE: Tutorial: Writing and Solving Division Equations INSTRUCTIONAL RESOURCE: Tutorial: Writing and Solving Division Equations

This tutorial provides an overview of solving division equations, with the focus on one- and two-step 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: Long Division INSTRUCTIONAL RESOURCE: Tutorial: Long Division INSTRUCTIONAL RESOURCE: Tutorial: Long Division

This tutorial provides an overview of long division.

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.

Long Division
INSTRUCTIONAL RESOURCE: Tutorial: Ways of Dividing INSTRUCTIONAL RESOURCE: Tutorial: Ways of Dividing INSTRUCTIONAL RESOURCE: Tutorial: Ways of Dividing

In this tutorial look at different ways of dividing and the context in which each is used.

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: Divisibility Rules INSTRUCTIONAL RESOURCE: Tutorial: Divisibility Rules INSTRUCTIONAL RESOURCE: Tutorial: Divisibility Rules

This tutorial provides an overview of divisibility rules.

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 Facts
Worksheet: Multiplication and Division Fact Families Worksheet: Multiplication and Division Fact Families Worksheet: Multiplication and Division Fact Families

This worksheet is on the topic of division facts.

Note: The download is a PDF file.

Related Resources

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Worksheet Library

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Division Facts and Multiplication Facts
Interactive Math Game, Fact Families, Multiplication and Division Interactive Math Game: Fact Families, Mult-Div Interactive Math Game: Fact Families, Mult-Div

Identify the missing term in a fact family with this interactive game.

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

To see additional resources on this topic, click on the Related Resources tab.
Division Facts and Multiplication Facts
INSTRUCTIONAL RESOURCE: Tutorial: Fact Families, Multiplication and Division INSTRUCTIONAL RESOURCE: Tutorial: Fact Families, Multiplication and Division INSTRUCTIONAL RESOURCE: Tutorial: Fact Families, Multiplication and Division

This tutorial provides an overview of multiplication and division fact families.

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.

Multiplication Facts
Crossword Puzzle, Basic Multiplication and Division Vocabulary 2 Interactive Crossword Puzzle: Multiplication - Division Vocab 2 Interactive Crossword Puzzle: Multiplication - Division Vocab 2

Review key multiplication and division vocabulary with this interactive crossword puzzle.

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

To see additional resources on this topic, click on the Related Resources tab.
Division Expressions and Equations and Multiplication Expressions and Equations
Word Search Puzzle, Basic Multiplication and Division Vocabulary 2 Interactive Word Search Puzzle: Mult-Div Vocab 2 Interactive Word Search Puzzle: Mult-Div Vocab 2

Review key multiplication and division vocabulary with this interactive word search puzzle. This is the second in a series of such puzzles.

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

To see additional resources on this topic, click on the Related Resources tab.
Division Expressions and Equations and Multiplication Expressions and Equations
Interactive: Basic Multiplication and Division Vocabulary, Part 2 INSTRUCTIONAL RESOURCE: Tutorial: Interactive: Basic Multiplication and Division Vocabulary, Part 2 INSTRUCTIONAL RESOURCE: Tutorial: Interactive: Basic Multiplication and Division Vocabulary, Part 2

This interactive reviews key second through fourth grade vocabulary on multiplication and division.

This is part of a collection of tutorials on a variety of math topics. To see the complete collection of these resources, click on this link. Note: The download is a PPT file.

Library of Instructional Resources

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

Long Division and Multiply Multi-Digit Numbers
Math Example--Arithmetic--Long Division--Example 1 Math Example--Arithmetic--Long Division--Example 1 Math Example--Arithmetic--Long Division--Example 1

This is part of a collection of math examples that focus on addition, subtraction, multiplication, and division skills.

Long Division
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--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.

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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--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--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--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--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--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--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--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--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--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--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--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--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--ZeroPropertyMultiplication Elementary Definition--Multiplication and Division Concepts--Zero Property Multiplication Zero Property of Multiplication

Topic

Multiplication and Division

Definition

The zero property of multiplication states that any number multiplied by zero equals zero.

Description

The zero property of multiplication is a fundamental concept in arithmetic that states multiplying any number by zero results in zero. For example, 

7 × 0 = 0

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
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

To see additional resources on this topic, click on the Related Resources tab.
Division Expressions and Equations
Worksheet: Division Facts Worksheet: Division Facts Worksheet: Division Facts

Students use their knowledge of division facts.

Note: The download is a PDF file.

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Worksheet Library

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Division Facts
Interactive Math Game, Fishing for Facts, Division Facts Interactive Math Game: Fishing for Facts, Division Facts Interactive Math Game: Fishing for Facts, Division Facts

In this game, students use their basic facts to identify fish that match a given quotient.

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

To see additional resources on this topic, click on the Related Resources tab.
Division Facts
INSTRUCTIONAL RESOURCE: Tutorial: Division Facts INSTRUCTIONAL RESOURCE: Tutorial: Division Facts INSTRUCTIONAL RESOURCE: Tutorial: Division Facts

This tutorial provides an overview of using a facts chart to divide numbers. It starts by describing multiplication and division as inverse operations. This provides a way of reading the chart. Start with a number, which is the product of two factors, and find the corresponding row and column numbers that align with this product. Then students can write division statements.

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

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Division Facts
Worksheet: Arrays and Division Worksheet: Arrays and Division Worksheet: Arrays and Division

This is part of a collection of math worksheets on the topic of arrays.

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Worksheet Library

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Division Facts