Illustrative Math Alignment: Grade 6 Unit 1

Topic

Multiplication and Division

Description

Dividing is the process of determining how many times one number is contained within another. For example, 8 / 4 = 2 is shown using visual aids like objects grouped into equal parts. This process relates to sharing and grouping. This term provides a foundational understanding of division, connecting it to real-life scenarios like sharing equally.

Topic

Multiplication and Division

Description

A False Equation is an equation that shows an inaccurate product or quotient. For example, 6 x 2 = 10 or 12 ÷ 3 = 5. This concept highlights the importance of verifying calculations for correctness. This term teaches students to identify and avoid common errors in mathematical equations.

Topic

Multiplication and Division

Description

A Division Sentence is a complete equation that includes the dividend, divisor, and quotient. For example, 36 ÷ 9 = 4 is described as 'Thirty-six divided by nine equals four.' This representation integrates both numerical and verbal descriptions of division. This term strengthens understanding by combining numerical and language-based representations of division.

Topic

Multiplication and Division

Description

The Dividend is the number being divided in a division expression. For example, in 12 / 3 = 4, 12 is the dividend. This term identifies the starting point for division calculations. This term clarifies the roles of numbers in division, aiding in understanding the structure of division problems.

Topic

Multiplication and Division

Description

A Division Expression includes numbers involved in division but does not include an equality. For example, 12 ÷ 3 or (36 ÷ 3) ÷ 4. This prepares students to transition from basic division to equations. This term connects to equations, bridging basic division operations with algebraic thinking.

Topic

Multiplication and Division

Description

A Division Expression includes numbers involved in division but does not include an equality. For example, 12 ÷ 3 or (36 ÷ 3) ÷ 4. This prepares students to transition from basic division to equations. This term connects to equations, bridging basic division operations with algebraic thinking.

Topic

Multiplication and Division

Description

A Division Sentence is a complete equation that includes the dividend, divisor, and quotient. For example, 36 ÷ 9 = 4 is described as 'Thirty-six divided by nine equals four.' This representation integrates both numerical and verbal descriptions of division. This term strengthens understanding by combining numerical and language-based representations of division.

Topic

Multiplication and Division

Description

Long Division is a technique for dividing large numbers into smaller parts systematically. For example, 98 ÷ 7 is solved step-by-step using division, multiplication, and subtraction. This method simplifies complex division problems. This term teaches systematic approaches to dividing large numbers, improving arithmetic skills.

Topic

Multiplication and Division

Description

A Multiple is a product of a number and any whole number. For example, multiples of 2 are 2, 4, 6, 8, and multiples of 3 are 3, 6, 9, 12. Multiples are essential for understanding patterns in arithmetic. This term connects to multiplication concepts, forming a basis for advanced topics like LCM and divisibility.

Topic

Multiplication and Division

Description

A Division Sentence is a complete equation that includes the dividend, divisor, and quotient. For example, 36 ÷ 9 = 4 is described as 'Thirty-six divided by nine equals four.' This representation integrates both numerical and verbal descriptions of division. This term strengthens understanding by combining numerical and language-based representations of division.

Topic

Multiplication and Division

Description

The Distributive Property allows breaking a multiplication expression into smaller parts. For example, 2(3 + 5) = 2 x 3 + 2 x 5 = 6 + 10 = 16. This property is useful for simplifying expressions and solving equations. This term bridges multiplication and addition, helping students solve complex problems by breaking them into simpler steps.

Topic

Multiplication and Division

Description

A Division Expression includes numbers involved in division but does not include an equality. For example, 12 ÷ 3 or (36 ÷ 3) ÷ 4. This prepares students to transition from basic division to equations. This term connects to equations, bridging basic division operations with algebraic thinking.

Topic

Multiplication and Division

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 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.

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.

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.

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

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

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.

Library of Instructional Resources

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

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

Library of Instructional Resources

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

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

Library of Instructional Resources

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

This tutorial provides an overview of long division.

Library of Instructional Resources

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

This tutorial provides an overview of long division.

Library of Instructional Resources

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

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

Library of Instructional Resources

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

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

Library of Instructional Resources

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

This tutorial provides an overview of divisibility rules.

Library of Instructional Resources

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

This tutorial provides an overview of divisibility rules.

Library of Instructional Resources

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

This worksheet is on the topic of division facts.

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Worksheet Library

This worksheet is on the topic of division facts.

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Worksheet Library

This worksheet is on the topic of division facts.

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Worksheet Library

This worksheet is on the topic of division facts.

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Worksheet Library

This worksheet is on the topic of division facts.

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Worksheet Library

This worksheet is on the topic of division facts.

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Worksheet Library

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

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

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

Related Resources

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

Related Resources

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

Related Resources

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

Related Resources

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

Library of Instructional Resources

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

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

Library of Instructional Resources

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

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

Library of Instructional Resources

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

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

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

Related Resources