Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Linear Equations and Linear Systems

Lesson 9: When Are They the Same?

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Video Transcript: Algebra Nspirations: Solving Systems of Equations, Part 2 Video Transcript: Algebra Nspirations: Solving Systems of Equations, 2 Video Transcript: Algebra Nspirations: Solving Systems of Equations, Part 2

This is the transcript for the video of same title. Video contents: In this Investigation we use matrices and the elimination method to solve a linear system.

This is part of a collection of video transcript from the Algebra Nspirations video series. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

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

Applications of Linear Systems, Matrix Operations and Solving Systems of Equations
Video Transcript: Algebra Tiles: Modeling Equations Using Algebra Tiles Video Transcript: Algebra Tiles: Modeling Equations Using Algebra Tiles Video Transcript: Algebra Tiles: Modeling Equations Using Algebra Tiles

What Are Algebra Tiles?

Numerical Models
Algebra Tiles--Expressions and Equations
Video Transcript: Algebra Tiles: Modeling Multi-Step Equations Using Algebra Tiles Video Transcript: Algebra Tiles: Modeling Multi-Step Equations Using Algebra Tiles Video Transcript: Algebra Tiles: Modeling Multi-Step Equations Using Algebra Tiles

What Are Algebra Tiles?

Numerical Models
Algebra Tiles--Expressions and Equations
Video Transcript: Algebra Tiles: Modeling One-Step Equations Using Algebra Tiles Video Transcript: Algebra Tiles: Modeling One-Step Equations Using Algebra Tiles Video Transcript: Algebra Tiles: Modeling One-Step Equations Using Algebra Tiles

What Are Algebra Tiles?

Numerical Models
Algebra Tiles--Expressions and Equations
Video Transcript: Algebra Tiles: Modeling Two-Step Equations Using Algebra Tiles Video Transcript: Algebra Tiles: Modeling Two-Step Equations Using Algebra Tiles Video Transcript: Algebra Tiles: Modeling Two-Step Equations Using Algebra Tiles

What Are Algebra Tiles?

Numerical Models
Algebra Tiles--Expressions and Equations
Video Transcript: Algebra Tiles: Solving Multi-Step Equations Using Algebra Tiles Video Transcript: Algebra Tiles: Solving Multi-Step Equations Using Algebra Tiles Video Transcript: Algebra Tiles: Solving Multi-Step Equations Using Algebra Tiles

What Are Algebra Tiles?

Numerical Models
Algebra Tiles--Expressions and Equations
Video Transcript: Algebra Tiles: Solving One-Step Equations Using Algebra Tiles Video Transcript: Algebra Tiles: Solving One-Step Equations Using Algebra Tiles Video Transcript: Algebra Tiles: Solving One-Step Equations Using Algebra Tiles

What Are Algebra Tiles?

Numerical Models
Algebra Tiles--Expressions and Equations
Video Transcript: Algebra Tiles: Solving Two-Step Equations Video Transcript: Algebra Tiles: Solving Two-Step Equations Video Transcript: Algebra Tiles: Solving Two-Step Equations

What Are Algebra Tiles?

Numerical Models
Algebra Tiles--Expressions and Equations
VideoTranscripts.jpg Video Transcript: Anatomy of an Equation: One-Step Addition Equations Video Transcript: Anatomy of an Equation: One-Step Addition Equations

This is the transcript for the video entitled, " Anatomy of an Equation: One-Step Addition Equations."

This is part of a collection of video transcript for the video tutorial series on the topic of Solving Equations. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

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

Solving One-Step Equations
VideoTranscripts.jpg Video Transcript: Anatomy of an Equation: One-Step Addition Equations 2 Video Transcript: Anatomy of an Equation: One-Step Addition Equations 2

This is the transcript for the video entitled, " Anatomy of an Equation: One-Step Addition Equations 2."

This is part of a collection of video transcript for the video tutorial series on the topic of Solving Equations. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

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

Solving One-Step Equations
VideoTranscripts.jpg Video Transcript: Anatomy of an Equation: One-Step Division Equations Video Transcript: Anatomy of an Equation: One-Step Division Equations

This is the transcript for the video entitled, " Anatomy of an Equation: One-Step Division Equations."

This is part of a collection of video transcript for the video tutorial series on the topic of Solving Equations. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

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

Solving One-Step Equations
VideoTranscripts.jpg Video Transcript: Anatomy of an Equation: One-Step Multiplication Equations Video Transcript: Anatomy of an Equation: One-Step Multiplication Equations

This is the transcript for the video entitled, " Anatomy of an Equation: One-Step Multiplication Equations."

This is part of a collection of video transcript for the video tutorial series on the topic of Solving Equations. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

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

Solving One-Step Equations
VideoTranscripts.jpg Video Transcript: Anatomy of an Equation: One-Step Subtraction Equations Video Transcript: Anatomy of an Equation: One-Step Subtraction Equations

This is the transcript for the video entitled, " Anatomy of an Equation: One-Step Subtraction Equations."

This is part of a collection of video transcript for the video tutorial series on the topic of Solving Equations. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

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

Solving One-Step Equations
VideoTranscripts.jpg Video Transcript: Anatomy of an Equation: One-Step Subtraction Equations 2 Video Transcript: Anatomy of an Equation: One-Step Subtraction Equations 2

This is the transcript for the video entitled, " Anatomy of an Equation: One-Step Subtraction Equations 2."

This is part of a collection of video transcript for the video tutorial series on the topic of Solving Equations. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

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

Solving One-Step Equations
Video Transcript: One-Step Equations: Addition Video Transcript: One-Step Equations: Addition Video Transcript: One-Step Equations: Addition

This is the transcript that goes with the video segment entitled Video Tutorial: One-Step Equations: Addition.

This is part of a collection of video transcripts for the video tutorial series on One-Step Equations. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

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

Solving One-Step Equations
Video Transcript: One-Step Equations: Division Video Transcript: One-Step Equations: Division Video Transcript: One-Step Equations: Division

This is the transcript that goes with the video segment entitled Video: One-Step Equations: Division.

This is part of a collection of video transcripts for the video tutorial series on One-Step Equations. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

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

Video Library

To see the complete collection of videos in the Video Library, click on this link.

Solving One-Step Equations
Video Transcript: One-Step Equations: Multiplication Video Transcript: One-Step Equations: Multiplication Video Transcript: One-Step Equations: Multiplication

This is the transcript that goes with the video segment entitled Video Tutorial: One-Step Equations: Multiplication.

This is part of a collection of video transcripts for the video tutorial series on One-Step Equations. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

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

Solving One-Step Equations
Video Transcript: One-Step Equations: Subtraction Video Transcript: One-Step Equations: Subtraction Video Transcript: One-Step Equations: Subtraction

This is the transcript that goes with the video segment entitled Video: One-Step Equations: Subtraction.

This is part of a collection of video transcripts for the video tutorial series on One-Step Equations. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

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

Video Library

To see the complete collection of videos in the Video Library, click on this link.

Solving One-Step Equations
Video Transcript: TI-Nspire Mini-Tutorial: (CAS) Solving a System of Two Linear Equations Video Transcript: TI-Nspire Mini-Tutorial: (CAS) Solving a System of Two Linear Equations Video Transcript: TI-Nspire Mini-Tutorial: (CAS) Solving a System of Two Linear Equations

This is the transcript for the TI-Nspire Mini-Tutorial entitled, Solving a System of Two Linear Equations.

This is part of a collection of video transcripts for the video tutorial series on using the TI-Nspire Graphing Calculator. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

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

Solving Systems of Equations
Video Transcript: Two-Step Equations: Division and Addition Video Transcript: Two-Step Equations: Division and Addition Video Transcript: Two-Step Equations: Division and Addition

This is the transcript that goes with the video segment entitled Video: Two-Step Equations: Division and Addition.

This is part of a collection of video transcripts for the video tutorial series on Two-Step Equations. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

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

Solving Two-Step Equations
Video Transcript: Two-Step Equations: Division and Subtraction Video Transcript: Two-Step Equations: Division and Subtraction Video Transcript: Two-Step Equations: Division and Subtraction

This is the transcript that goes with the video segment entitled Video: Two-Step Equations: Division and Subtraction.

This is part of a collection of video transcripts for the video tutorial series on Two-Step Equations. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

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

Solving Two-Step Equations
Video Transcript: Two-Step Equations: Multiplication and Addition Video Transcript: Two-Step Equations: Multiplication and Addition Video Transcript: Two-Step Equations: Multiplication and Addition

This is the transcript that goes with the video segment entitled Video: Two-Step Equations: Multiplication and Addition.

This is part of a collection of video transcripts for the video tutorial series on Two-Step Equations. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

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

Solving Two-Step Equations
Video Transcript: Two-Step Equations: Multiplication and Subtraction Video Transcript: Two-Step Equations: Multiplication and Subtraction Video Transcript: Two-Step Equations: Multiplication and Subtraction

This is the transcript that goes with the video segment entitled Video: Two-Step Equations: Multiplication and Subtraction.

This is part of a collection of video transcripts for the video tutorial series on Two-Step Equations. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

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

Solving Two-Step Equations
VideoTutorial--AlgebraTiles10VideoThumbnail.jpg Video Tutorial: Algebra Tiles 10 Video Tutorial: Algebra Tiles 10

Topic

Expressions and Equations

Description

This video covers multi-step equations with multiple operations and variables on both sides. Examples include equations like 2x - 2 = x + 4 and 2x + 4 = x - 5. It demonstrates simplifying equations and isolating variables. Key vocabulary includes multi-step equations, operations, simplification, and variables.

Algebra Tiles--Expressions and Equations
VideoTutorial--AlgebraTiles17VideoThumbnail.jpg Video Tutorial: Algebra Tiles 17 Video Tutorial: Algebra Tiles 17

Topic

Expressions and Equations

Description

This video explains solving one-step equations like x + 2 = 4 and x ÷ 2 = 4 with algebra tiles. It covers addition, subtraction, multiplication, and division operations. Key vocabulary includes one-step equations, zero pairs, and operations.

Algebra Tiles--Expressions and Equations
Video Tutorial: Algebra Tiles: Solving Two-Step Equations Using Algebra Tiles Video Tutorial: Algebra Tiles 18 Video Tutorial: Algebra Tiles 18

Topic

Expressions and Equations

Description

The video discusses solving two-step equations like 2x + 2 = 4 using algebra tiles. It shows a multi-stage process for isolating variables, including handling subtraction as addition. Key vocabulary includes two-step equations, multi-stage process, and integer tiles.

Algebra Tiles--Expressions and Equations
VideoTutorial--AlgebraTiles19VideoThumbnail.jpg Video Tutorial: Algebra Tiles 19 Video Tutorial: Algebra Tiles 19

Topic

Expressions and Equations

Description

This video covers multi-step equations, such as 3x + 2 = x + 4, using algebra tiles. It demonstrates how to isolate variables through a multi-stage process involving addition and subtraction. Key vocabulary includes multi-step equations, isolation, and operations.

Algebra Tiles--Expressions and Equations
VideoTutorial--AlgebraTiles7Thumbnail.jpeg Video Tutorial: Algebra Tiles 7 Video Tutorial: Algebra Tiles 7

Topic

Expressions and Equations

Description

The video demonstrates modeling equations with algebra tiles, using a vertical bar to represent the equals sign. Examples include linear equations like x + 2 = -2 and quadratic equations like x-squared + x + 2 = 2. Key vocabulary includes equations, quadratic, integers, and variables.

Algebra Tiles--Expressions and Equations
VideoTutorial--AlgebraTiles8Thumbnail.jpg Video Tutorial: Algebra Tiles 8 Video Tutorial: Algebra Tiles 8

Topic

Expressions and Equations

Description

This video focuses on modeling one-step equations using algebra tiles. Examples include equations involving addition, subtraction, multiplication, and division, such as x + 2 = 4 or x ÷ 9 = 10. Key vocabulary includes one-step equations, operations, integers, and variables.

Algebra Tiles--Expressions and Equations
VideoTutorial--AlgebraTiles9Thumbnail.jpg Video Tutorial: Algebra Tiles 9 Video Tutorial: Algebra Tiles 9

Topic

Expressions and Equations

Description

The video explains two-step equations involving combinations of operations like addition and division. Examples include 2x + 2 = 4 and x ÷ 2 - 4 = 10. It highlights rewriting subtraction as addition for modeling. Key vocabulary includes two-step equations, operations, integers, and variables.

Algebra Tiles--Expressions and Equations
Video Tutorial: Anatomy of an Equation: One-Step Addition Equations Video Tutorial: Anatomy of an Equation: One-Step Addition Equations Video Tutorial: Anatomy of an Equation: One-Step Addition Equations

Topic

Equations

Description

This tutorial explains solving one-step equations involving addition. Key math concepts include identifying the addition operation and isolating the variable to find the solution. Vocabulary includes terms like variable, isolate, and addition operation. The math application involves solving equations such as x + 2 = 5 by subtracting 2 from both sides to isolate the variable and find x = 3.

Solving One-Step Equations
Video Tutorial: Anatomy of an Equation: One-Step Addition Equations 2 Video Tutorial: Anatomy of an Equation: One-Step Addition Equations 2 Video Tutorial: Anatomy of an Equation: One-Step Addition Equations 2

Topic

Equations

Description

This tutorial extends solving one-step equations involving addition with negative numbers. It focuses on isolating the variable and managing negative values. Vocabulary includes terms like variable, isolate, and negative number. The application includes equations like x + 4 = -9, solved by subtracting 4 from both sides to find x = -13.

Solving One-Step Equations
Video Tutorial: Anatomy of an Equation: One-Step Division Equations Video Tutorial: Anatomy of an Equation: One-Step Division Equations Video Tutorial: Anatomy of an Equation: One-Step Division Equations

Topic

Equations

Description

This tutorial explains solving one-step equations involving division. The key focus is on isolating the variable through multiplication. Vocabulary includes terms like variable, isolate, and division operation. For example, solving x / 5 = 4 involves multiplying both sides by 5 to find x = 20.

Solving One-Step Equations
Video Tutorial: Anatomy of an Equation: One-Step Multiplication Equations Video Tutorial: Anatomy of an Equation: One-Step Multiplication Equations Video Tutorial: Anatomy of an Equation: One-Step Multiplication Equations

Topic

Equations

Description

This tutorial demonstrates solving one-step equations involving multiplication. Key concepts include identifying the multiplication operation and isolating the variable. Vocabulary includes terms like variable, isolate, and multiplication operation. The application involves equations like 2x = 10, solved by dividing both sides by 2 to find x = 5.

Solving One-Step Equations
Video Tutorial: Anatomy of an Equation: One-Step Subtraction Equations Video Tutorial: Anatomy of an Equation: One-Step Subtraction Equations Video Tutorial: Anatomy of an Equation: One-Step Subtraction Equations

Topic

Equations

Description

This tutorial explores solving one-step equations involving subtraction. Key concepts include recognizing the subtraction operation and isolating the variable. Vocabulary includes terms like variable, isolate, and subtraction operation. The application demonstrates solving equations such as x - 3 = 5 by adding 3 to both sides to isolate the variable and find x = 8.

Solving One-Step Equations
Video Tutorial: Anatomy of an Equation: One-Step Subtraction Equations 2 Video Tutorial: Anatomy of an Equation: One-Step Subtraction Equations 2 Video Tutorial: Anatomy of an Equation: One-Step Subtraction Equations 2

Topic

Equations

Description

This tutorial covers solving one-step equations involving subtraction with negative numbers. The focus is on isolating the variable while handling negative values. Vocabulary includes terms like variable, isolate, and negative number. An example involves solving x - 5 = -12 by adding 5 to both sides to find x = -7.

Solving One-Step Equations
VideoTutorial--OneStepEquationAddition.jpg Video Tutorial: One-Step Equations: Addition Video Tutorial: One-Step Equations: Addition

Topic

Solving Equations

Description

This video introduces one-step equations that require one mathematical operation to solve. The focus is on addition equations, indicated by the addition symbol. The solution process involves using subtraction to isolate the variable. Key math concepts include solving equations, inverse operations, and maintaining equation balance. Key vocabulary includes addition, subtraction, equation, and inverse operation. Practical applications involve basic algebraic problem-solving.

Solving One-Step Equations
VideoTutorial--OneStepEquationDivision.jpg Video Tutorial: One-Step Equations: Division Video Tutorial: One-Step Equations: Division

Topic

Solving Equations

Description

This video covers one-step division equations, identifiable by the division symbol or fraction notation. Multiplication is applied as the inverse operation to solve for the variable. Key concepts include solving equations, inverse operations, and keeping equations balanced. Vocabulary emphasized includes division, fraction, multiplication, inverse operation, and equation. These equations are practical for solving proportional problems and foundational algebraic expressions.

Solving One-Step Equations
VideoTutorial--OneStepEquationMultiplication.jpg Video Tutorial: One-Step Equations: Multiplication Video Tutorial: One-Step Equations: Multiplication

Topic

Solving Equations

Description

This tutorial demonstrates solving one-step multiplication equations. Such equations are characterized by a coefficient next to the variable. Division is used to isolate the variable. The key math concepts are solving equations, using inverse operations, and maintaining balance. Important vocabulary terms include multiplication, coefficient, variable, division, and inverse operation. Applications include foundational algebra skills for understanding more complex equations.

Solving One-Step Equations
VideoTutorial--OneStepEquationSubtraction.jpg Video Tutorial: One-Step Equations: Subtraction Video Tutorial: One-Step Equations: Subtraction

Topic

Solving Equations

Description

This video explains how to solve one-step subtraction equations. These equations are identified by the subtraction symbol, and solving them involves using addition to isolate the variable. Key concepts discussed are solving equations, inverse operations, and keeping equations balanced. Important vocabulary includes subtraction, addition, inverse operation, and equation. Applications include solving simple algebra problems encountered in everyday contexts.

Solving One-Step Equations
Video Tutorial: Properties of Equality Video Tutorial: Properties of Equality Video Tutorial: Properties of Equality

In this video, learn about the properties of equality that are the core of the equation-solving process. They'll learn about true properties for each of the four operations. Only subscribers to Media4Math Library can download these resources.

Applications of Equations and Inequalities
VideoTutorial--2StepMultAdd.jpg Video Tutorial: Two-Step Equations, Video 1 Video Tutorial: Two-Step Equations, Video 1

Topic

Solving Equations

Description

This video introduces solving two-step equations involving multiplication and addition. Key concepts include using inverse operations like division and subtraction to isolate the variable. Vocabulary includes variable, equation, inverse operations, multiplication, and addition. Applications include basic algebra.

Solving Two-Step Equations
VideoTutorial--2StepMultSubt.jpg Video Tutorial: Two-Step Equations, Video 2 Video Tutorial: Two-Step Equations, Video 2

Topic

Solving Equations

Description

The video explains solving two-step equations that involve multiplication and subtraction. It emphasizes the use of inverse operations such as division and addition. Key terms are variable, equation, inverse operations, multiplication, and subtraction. Algebraic applications are highlighted.

Solving Two-Step Equations
VideoTutorial--2StepDivAdd.jpg Video Tutorial: Two-Step Equations, Video 3 Video Tutorial: Two-Step Equations, Video 3

Topic

Solving Equations

Description

The tutorial covers solving two-step equations involving division and addition. It focuses on isolating the variable using inverse operations like multiplication and subtraction. Vocabulary includes variable, equation, inverse operations, division, and addition. Applications are centered on algebraic problem-solving.

Solving Two-Step Equations
VideoTutorial--2StepDivSubt.jpg Video Tutorial: Two-Step Equations, Video 4 Video Tutorial: Two-Step Equations, Video 4

Topic

Solving Equations

Description

This video addresses solving two-step equations involving division and subtraction. It demonstrates applying inverse operations, specifically multiplication and addition, to isolate the variable. Terms such as variable, equation, inverse operations, division, and subtraction are emphasized. Algebraic uses are discussed.

Solving Two-Step Equations
Video Tutorial: What Are Identities? Video Tutorial: What Are Identities? Video Tutorial: What Are Identities?

In this video, students expand their knowledge of properties of equations with a focus on identities. Students will see how to use identities to solve equations, in particular certain quadratic equations.

Applications of Equations and Inequalities and Quadratic Equations and Functions
Video Tutorial: What Is an Equation? Video Tutorial: What Is an Equation? Video Tutorial: What Is an Equation?

In this video, students the basics of equations. They'll learn about true equations, false equations, and conditional equations.

Applications of Equations and Inequalities
VIDEO: Algebra Applications: Systems of Equations, Segment 1: Profit and Loss VIDEO: Algebra Applications: Systems of Equations, 1 VIDEO: Algebra Applications: Systems of Equations, 1

Topic

Systems of Equations

Description

Description: Explores profit and loss through linear functions, focusing on break-even points and business profitability using TI-Nspire for visualizations.

Applications of Linear Systems and Solving Systems of Equations
VIDEO: Algebra Applications: Systems of Equations, Segment 2: Encryption VIDEO: Algebra Applications: Systems of Equations, 2 VIDEO: Algebra Applications: Systems of Equations, 2

Topic

Systems of Equations

Description

Description: Discusses encryption using linear systems, demonstrating substitution ciphers and matrix-based encoding for secure communication.

Applications of Linear Systems and Solving Systems of Equations
VIDEO: Algebra Applications: Systems of Equations, Segment 3: Ballistic Missiles VIDEO: Algebra Applications: Systems of Equations, 3 VIDEO: Algebra Applications: Systems of Equations, 3

Topic

Systems of Equations

Description

Description: Analyzes ballistic missile interception through quadratic systems, graphing missile paths and their intersection as solutions to equations.

Applications of Linear Systems and Solving Systems of Equations