Illustrative Math Alignment: Grade 6 Unit 1

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.

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.

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.

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.

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.

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.

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.

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

This tutorial provides an overview of solving division equations, with the focus on one- and two-step equations.

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This tutorial provides an overview of long division.

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

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This tutorial provides an overview of divisibility rules.

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This worksheet is on the topic of division facts.

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

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

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

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

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

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Topic

Arithmetic

Description

Find the quotient of 75 ÷ 5 using long division.

The example illustrates the method of column multiplication. The caption explains the process step-by-step, emphasizing the sequential multiplication and any necessary regrouping.

In general, column multiplication is a foundational arithmetic skill that develops a student's ability to handle larger numbers systematically. Examples in this collection present varied scenarios, building confidence through exposure to different configurations of numbers.

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.

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Topic

Multiplication and Division

Definition

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

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, 

Topic

Multiplication and Division

Definition

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

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, 

Topic

Multiplication and Division

Definition

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

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 

Topic

Multiplication and Division

Definition

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

Topic

Multiplication and Division

Definition

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

Topic

Multiplication and Division

Definition

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

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

Topic

Multiplication and Division

Definition

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

Topic

Multiplication and Division

Definition

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

Topic

Multiplication and Division

Definition

An even number is exactly divisible by 2.

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

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 

Topic

Multiplication and Division

Definition

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

Topic

Multiplication and Division

Definition

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

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.

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.

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.

Topic

Multiplication and Division

Definition

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

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

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

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

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

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Students use their knowledge of division facts.

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

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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.

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

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