Illustrative Math Alignment: Grade 6 Unit 1

Dividing Fractions

Lesson 4: How Many Groups? (Part 1)

Use the following Media4Math resources with this Illustrative Math lesson.

Title	Body	Curriculum Nodes
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--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--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--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--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--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	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--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--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--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--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--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--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
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--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--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--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--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 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 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 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 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 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 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--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
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 Students use their knowledge of division facts. 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 Facts
Worksheet: Division Facts	Worksheet: Division Facts Students use their knowledge of division facts. 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 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
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 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 To see the complete library of Instructional Resources , click on this link.	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 To see the complete library of Instructional Resources , click on this link.	Division Facts
Worksheet: Arrays and Division	Worksheet: Arrays and Division This is part of a collection of math worksheets on the topic of arrays. To see the complete worksheet collection on this topic, click on this link. 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 Facts
Worksheet: Arrays and Division	Worksheet: Arrays and Division This is part of a collection of math worksheets on the topic of arrays. To see the complete worksheet collection on this topic, click on this link. 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 Facts
Worksheet: Arrays and Division	Worksheet: Arrays and Division This is part of a collection of math worksheets on the topic of arrays. To see the complete worksheet collection on this topic, click on this link. 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 Facts
INSTRUCTIONAL RESOURCE: Tutorial: Visual Models for Division	INSTRUCTIONAL RESOURCE: Tutorial: Visual Models for Division This tutorial provides an overview of using visual models of division, including arrays. 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
INSTRUCTIONAL RESOURCE: Tutorial: Visual Models for Division	INSTRUCTIONAL RESOURCE: Tutorial: Visual Models for Division This tutorial provides an overview of using visual models of division, including arrays. 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
INSTRUCTIONAL RESOURCE: Tutorial: Visual Models for Division	INSTRUCTIONAL RESOURCE: Tutorial: Visual Models for Division This tutorial provides an overview of using visual models of division, including arrays. 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
Interactive Word Search Puzzle--Multiplication and Division Puzzle 1	Interactive Word Search Puzzle--Multiplication and Division Puzzle 1 Review multiplication and division vocabulary with this interactive and printable 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 Facts and Multiplication Facts
Interactive Word Search Puzzle--Multiplication and Division Puzzle 1	Interactive Word Search Puzzle--Multiplication and Division Puzzle 1 Review multiplication and division vocabulary with this interactive and printable 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 Facts and Multiplication Facts
Interactive Word Search Puzzle--Multiplication and Division Puzzle 1	Interactive Word Search Puzzle--Multiplication and Division Puzzle 1 Review multiplication and division vocabulary with this interactive and printable 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 Facts and Multiplication Facts
Interactive Word Search Puzzle--Multiplication and Division Puzzle 1	Interactive Word Search Puzzle--Multiplication and Division Puzzle 1 Review multiplication and division vocabulary with this interactive and printable 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 Facts and Multiplication Facts
Interactive Word Search Puzzle--Multiplication and Division Puzzle 1	Interactive Word Search Puzzle--Multiplication and Division Puzzle 1 Review multiplication and division vocabulary with this interactive and printable 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 Facts and Multiplication Facts
Interactive Word Search Puzzle--Multiplication and Division Puzzle 1	Interactive Word Search Puzzle--Multiplication and Division Puzzle 1 Review multiplication and division vocabulary with this interactive and printable 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 Facts and Multiplication Facts
Interactive Word Search Puzzle--Multiplication and Division Puzzle 1	Interactive Word Search Puzzle--Multiplication and Division Puzzle 1 Review multiplication and division vocabulary with this interactive and printable 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 Facts and Multiplication Facts
Interactive Word Search Puzzle--Multiplication and Division Puzzle 1	Interactive Word Search Puzzle--Multiplication and Division Puzzle 1 Review multiplication and division vocabulary with this interactive and printable 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 Facts and Multiplication Facts
Interactive Word Search Puzzle--Multiplication and Division Puzzle 1	Interactive Word Search Puzzle--Multiplication and Division Puzzle 1 Review multiplication and division vocabulary with this interactive and printable 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 Facts and Multiplication Facts
Interactive Word Search Puzzle--Multiplication and Division Puzzle 1	Interactive Word Search Puzzle--Multiplication and Division Puzzle 1 Review multiplication and division vocabulary with this interactive and printable 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 Facts and Multiplication Facts
Interactive Word Search Puzzle--Multiplication and Division Puzzle 1	Interactive Word Search Puzzle--Multiplication and Division Puzzle 1 Review multiplication and division vocabulary with this interactive and printable 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 Facts and Multiplication Facts
Interactive Word Search Puzzle--Multiplication and Division Puzzle 1	Interactive Word Search Puzzle--Multiplication and Division Puzzle 1 Review multiplication and division vocabulary with this interactive and printable 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 Facts and Multiplication Facts