Illustrative Math Alignment: Grade 6 Unit 1

This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties.

This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties.

This is part of a collection of definitions on the topic of variables and constants. These definitions can easily be incorporated into your lesson plans. 

The following section provides additional information on the topic.

Watch this video about variables and equations. (The transcript is included.)

This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties.

This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties.

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

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This tutorial provides an overview of the properties of multiplication.

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An equation shows a relationship between two quantities. Note: The download is a PDF.

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In this Slide Show, learn about variables and variable expressions.

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What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

Topic

Equations

Description

Isolating the Variable refers to the process of solving an equation by focusing on and isolating the variable of interest. For example, x + 3 = 5 becomes x = 2 by subtracting 3 from both sides. This term highlights a key step in solving equations, emphasizing strategies for simplifying equations to find solutions.

Topic

Equations

Description

The Unknown. In a conditional equation, the variable is also referred to as the unknown. 3x = 12, where x is the unknown

The topic of this video is closely tied to Equations, providing an essential understanding of its fundamental concepts. This video explores the mathematics behind this topic by delving into how key principles are applied in practical contexts.

Topic

Equations

Description

A Constant Term in an algebraic equation is a number without a variable. Examples include 2 in x2 + 3x + 2 = 0, -10 in x3 - 2x2 + 4x - 10 = 0, and 5 in x4 - 2x3 + 4x2 - x + 5 = 0. This term explains the role of constants in equations, crucial for identifying and isolating terms when solving equations.

This is the transcript that goes with the video segment entitled Video: The Distributive Property: a(-x + b), a negative, b negative.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript that goes with the video segment entitled Video: The Distributive Property: a(-x + b), a negative, b positive.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript that goes with the video segment entitled Video: The Distributive Property: a(-x + b), all constants positive.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript that goes with the video segment entitled Video: The Distributive Property: a(-x - b), a negative, b negative.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript that goes with the video segment entitled Video: The Distributive Property: a(-x - b), a negative, b positive.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript that goes with the video segment entitled Video: The Distributive Property: a(-x - b), all constants positive.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript that goes with the video segment entitled Video: The Distributive Property: a(bx + c), a negative, b and c positive.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript that goes with the video segment entitled Video: The Distributive Property: a(bx + c), all constants negative.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript that goes with the video segment entitled Video: The Distributive Property: a(bx + c), all constants positive.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript that goes with the video segment entitled Video: The Distributive Property: a(bx - c), a negative, b and c positive.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript that goes with the video segment entitled Video: The Distributive Property: a(bx - c), all constants negative.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript that goes with the video segment entitled Video: The Distributive Property: a(bx - c), all constants positive.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript that goes with the video segment entitled Video: The Distributive Property: a(x + b), a negative, b negative.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript that goes with the video segment entitled Video: The Distributive Property: a(x + b), a negative, b positive.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript that goes with the video segment entitled Video: The Distributive Property: a(x + b), all constants positive.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript that goes with the video segment entitled Video: The Distributive Property: a(x - b), a negative, b negative.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript that goes with the video segment entitled Video: The Distributive Property: a(x - b), a negative, b positive.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript that goes with the video segment entitled Video: The Distributive Property: a(x - b), all constants positive.

To see the complete collection of video transcriptsy, click on this link.

Topic

Mathematical Properties

Description

This video introduces the distributive property using cases with positive constant terms. Examples include finding the area of a rectangle and parallelogram and converting word problems into expressions like x + 5 multiplied by a factor. Vocabulary includes terms like area, expression, and distribute, with applications in geometry and algebra.

Topic

Mathematical Properties

Description

This video addresses positive constants with negative x-coefficients and subtraction. Examples include expressions like -x - 9 multiplied by 7. Vocabulary includes distribute, inequality, and positive area. Applications link inequalities with the distributive property to find positive solutions.

Topic

Mathematical Properties

Description

This video examines scenarios with negative constants and coefficients involving subtraction. Examples include expressions like -x - 8 multiplied by -5. Key vocabulary includes distribute, negative subtraction, and evaluate. Applications demonstrate managing multiple negative terms in expressions.

Topic

Mathematical Properties

Description

This video focuses on negative coefficients and subtraction in expressions. Examples like -x - (-8) multiplied by -4 are explored. Vocabulary includes distribute, negative signs, and subtraction. Applications emphasize handling subtraction with negatives.

Topic

Mathematical Properties

Description

This video introduces expressions with positive constants and coefficients greater than 1. Examples include 5 multiplied by 3x + 7. Vocabulary includes distribute, variable, and addition. Applications highlight multiplying expanded expressions.

Topic

Mathematical Properties

Description

This video examines positive constants with addition and larger coefficients. Examples like 7x + 9 multiplied by -8 are discussed. Vocabulary includes distribute, large coefficients, and evaluate. Applications explore handling addition with negatives in expressions.

Topic

Mathematical Properties

Description

This video covers all-negative constants and coefficients with addition. Examples include -8x + (-5) multiplied by -4. Vocabulary includes distribute, double negatives, and addition. Applications explore handling multiple negatives in algebra.

Topic

Mathematical Properties

Topic

Mathematical Properties

Description

This video focuses on subtraction with large positive coefficients. Examples include 8x - 5 multiplied by -6. Vocabulary includes distribute, subtraction, and coefficients. Applications showcase simplifying complex expressions with subtraction and negatives.

Topic

Mathematical Properties

Description

This video explores all-negative constants, coefficients, and subtraction. Examples include -3x - (-6) multiplied by -8. Vocabulary includes distribute, negative subtraction, and double negatives. Applications emphasize managing subtraction with negatives in expressions.

Topic

Mathematical Properties

Description

This video explores the distributive property where the constant term a is negative. Examples involve converting phrases into expressions such as x + 3 multiplied by -4. Key vocabulary includes distribute, evaluate, and coefficient. Applications focus on translating verbal scenarios into algebraic representations.

Topic

Mathematical Properties

Description

This video focuses on scenarios where both constants a and b are negative. Examples include expressions like x + (-9) multiplied by -3. Vocabulary includes distribute, negative terms, and evaluate. Applications highlight handling negative coefficients in algebraic expressions.

Topic

Mathematical Properties

Description

This video covers cases with positive constants and a negative x-term. Examples include calculating areas and translating word problems such as -x + 25 multiplied by 6. Key terms include distribute, negative coefficient, and variable expression. Applications emphasize solving algebraic problems with mixed signs.

Topic

Mathematical Properties

Description

This video examines cases with negative constants and x-term coefficients. Examples transform verbal descriptions like -x + 5 multiplied by -7 into expressions. Vocabulary includes distribute, product, and expression. Applications demonstrate working with double negatives in algebraic operations.

Topic

Mathematical Properties

Description

This video addresses situations with all negative constants and coefficients. Examples include expressions like -x + (-6) multiplied by -4. Key vocabulary includes distribute, double negatives, and evaluate. Applications focus on understanding interactions of negatives in algebraic expressions.

Topic

Mathematical Properties

Description

This video explores the distributive property with positive constants and subtraction. Examples involve geometry problems, such as calculating areas using x - 8 multiplied by a factor. Vocabulary includes subtract, area, and distribute. Applications center on integrating subtraction into the distributive process.

Topic

Mathematical Properties

Description

This video highlights cases with a negative constant a and subtraction. Examples include expressions like x - 8 multiplied by -9. Vocabulary includes distribute, negative coefficient, and subtraction. Applications stress combining subtraction and negatives in algebraic contexts.

Topic

Mathematical Properties

Description

This video discusses scenarios with negative constants and subtraction. Examples feature expressions like x - (-7) multiplied by -8. Vocabulary includes distribute, negative subtraction, and evaluate. Applications focus on navigating multiple negative signs in algebra.

Topic

Equations

Description

The video introduces algebraic expressions and their ability to represent both known and unknown quantities. It defines variables as placeholders for unknowns and explains equations as relationships between two expressions. Key concepts include solving for variables and understanding the role of variables in equations. Key vocabulary includes variable, unknown quantity, and equation. The applications discussed include investigations into real-world scenarios such as honeybee populations and river geology.