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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Linear Equations and Linear Systems

Lesson 10: On or Off the Line?

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Video Definition 26--Equation Concepts--Polynomial Equation Video Definition 26--Equation Concepts--Polynomial Equation Video Definition 26--Equation Concepts--Polynomial Equation

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

Polynomial Functions and Equations
Video Definition 27--Equation Concepts--Quadratic Equation Video Definition 27--Equation Concepts--Quadratic Equation Video Definition 27--Equation Concepts--Quadratic Equation

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

Quadratic Equations and Functions
Video Definition 28--Equation Concepts--Reflexive Property of Equality Video Definition 28--Equation Concepts--Reflexive Property of Equality Video Definition 28--Equation Concepts--Reflexive Property of Equality

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

Applications of Equations and Inequalities
Video Definition 29--Equation Concepts--Right Side of the Equation Video Definition 29--Equation Concepts--Right Side of the Equation Video Definition 29--Equation Concepts--Right Side of the Equation

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

Applications of Equations and Inequalities
Video Definition 3--Equation Concepts--Algebraic Equation Video Definition 3--Equation Concepts--Algebraic Equation Video Definition 3--Equation Concepts--Algebraic Equation

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

Applications of Equations and Inequalities
Video Definition 30--Equation Concepts--Roots of an Equation Video Definition 30--Equation Concepts--Roots of an Equation Video Definition 30--Equation Concepts--Roots of an Equation

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

Applications of Equations and Inequalities
Video Definition 31--Equation Concepts--Solution Video Definition 31--Equation Concepts--Solution Video Definition 31--Equation Concepts--Solution

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

Applications of Equations and Inequalities
Video Definition 32--Equation Concepts--Solving an Equation Video Definition 32--Equation Concepts--Solving an Equation Video Definition 32--Equation Concepts--Solving an Equation

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

Applications of Equations and Inequalities
Video Definition 33--Equation Concepts--Subtraction Property of Equality Video Definition 33--Equation Concepts--Subtraction Property of Equality Video Definition 33--Equation Concepts--Subtraction Property of Equality

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

Applications of Equations and Inequalities
Video Definition 34--Equation Concepts--Symmetric Property of Equality Video Definition 34--Equation Concepts--Symmetric Property of Equality Video Definition 34--Equation Concepts--Symmetric Property of Equality

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

Applications of Equations and Inequalities
Video Definition 35--Equation Concepts--The Unknown Video Definition 35--Equation Concepts--The Unknown Video Definition 35--Equation Concepts--The Unknown

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

Variables and Unknowns
Video Definition 36--Equation Concepts--Transitive Property of Equality Video Definition 36--Equation Concepts--Transitive Property of Equality Video Definition 36--Equation Concepts--Transitive Property of Equality

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

Applications of Equations and Inequalities
Video Definition 37--Equation Concepts--True Equation Video Definition 37--Equation Concepts--True Equation Video Definition 37--Equation Concepts--True Equation

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

Applications of Equations and Inequalities
Video Definition 38--Equation Concepts--Two-Step Equation Video Definition 38--Equation Concepts--Two-Step Equation Video Definition 38--Equation Concepts--Two-Step Equation

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

Solving Two-Step Equations
Video Definition 39--Equation Concepts--Variable Expression Video Definition 39--Equation Concepts--Variable Expression Video Definition 39--Equation Concepts--Variable Expression

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

Variable Expressions
Video Definition 4--Equation Concepts--Algebraic Expression Video Definition 4--Equation Concepts--Algebraic Expression Video Definition 4--Equation Concepts--Algebraic Expression

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

Numerical and Algebraic Expressions
Video Definition 40--Equation Concepts--Visual Models for Equations Video Definition 40--Equation Concepts--Visual Models for Equations Video Definition 40--Equation Concepts--Visual Models for Equations

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

Applications of Equations and Inequalities
Video Definition 41--Equation Concepts--Approximately Equal To Video Definition 41--Equation Concepts--Approximately Equal To Video Definition 41--Equation Concepts--Approximately Equal To

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

Applications of Equations and Inequalities
Video Definition 42--Equation Concepts--Proportional To Video Definition 42--Equation Concepts--Proportional To Video Definition 42--Equation Concepts--Proportional To

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

Applications of Equations and Inequalities
Video Definition 43--Equation Concepts--Similar To Video Definition 43--Equation Concepts--Similar To Video Definition 43--Equation Concepts--Similar To

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

Applications of Equations and Inequalities
Video Definition 44--Equation Concepts--Congruent To Video Definition 44--Equation Concepts--Congruent To Video Definition 44--Equation Concepts--Congruent To

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

Applications of Equations and Inequalities
Video Definition 5--Equation Concepts--Assigning Values to Variables Video Definition 5--Equation Concepts--Assigning Values to Variables Video Definition 5--Equation Concepts--Assigning Values to Variables

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

Variable Expressions
Video Definition 6--Equation Concepts--Conditional Equation Video Definition 6--Equation Concepts--Conditional Equation Video Definition 6--Equation Concepts--Conditional Equation

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

Applications of Equations and Inequalities
Video Definition 7--Equation Concepts--Constant Term Video Definition 7--Equation Concepts--Constant Term Video Definition 7--Equation Concepts--Constant Term

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

Variables and Unknowns
Video Definition 8--Equation Concepts--Division Property of Equality Video Definition 8--Equation Concepts--Division Property of Equality Video Definition 8--Equation Concepts--Division Property of Equality

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

Applications of Equations and Inequalities
Video Definition 9--Equation Concepts--Equality Video Definition 9--Equation Concepts--Equality Video Definition 9--Equation Concepts--Equality

This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video.

Applications of Equations and Inequalities
Video Transcript: Algebra Applications: Inequalities Video Transcript: Algebra Applications: Inequalities Video Transcript: Algebra Applications: Inequalities

This is the transcript for the video of same title. Video contents: In this episode of Algebra Applications, two real-world explorations of inequalities are developed: Hybrid Cars. An examination of the equations and inequalities that involve miles per gallon (mpg) for city and highway traffic reveals important information about hybrid cars and those with gasoline-powered engines. Floods in Venice. Venice experiences a great deal of flooding, and with the expected rise of sea levels over the next century, this ancient city is in peril. Through a series of inequalities, students analyze the impact of flooding.

Inequalities
Video Transcript: Algebra Applications: Linear Functions, Segment 1: Introduction Video Transcript: Algebra Applications: Linear Functions, Segment 1: Introduction Video Transcript: Algebra Applications: Linear Functions, Segment 1: Introduction

Linear Expressions, Equations, and Functions

Linear Expressions
Applications of Linear Functions and Graphs of Linear Functions
Video Transcript: Algebra Applications: Systems of Equations Video Transcript: Algebra Applications: Systems of Equations Video Transcript: Algebra Applications: Systems of Equations

This is the transcript for the video of same title. Video contents: In this episode of Algebra Applications, students explore various scenarios that can be explained through the use of systems of equations. Such disparate phenomena as profit and loss, secret codes, and ballistic missile shields can be explored through systems of equations.

Applications of Linear Systems, Matrix Operations and Solving Systems of Equations
Video Transcript: Algebra Applications: Systems of Equations, Segment 1: Profit and Loss Video Transcript: Algebra Applications: Systems of Equations, Segment 1: Profit and Loss Video Transcript: Algebra Applications: Systems of Equations, Segment 1: Profit and Loss

This is the transcript for the video of same title. Video contents: Profit and loss are the key measures in a business. A system of equations that includes an equation for income and one for expenses can be used to determine profit and loss. Students solve a system graphically.

Applications of Linear Systems, Matrix Operations and Solving Systems of Equations
Video Transcript: Algebra Applications: Systems of Equations, Segment 2: Encryption Video Transcript: Algebra Applications: Systems of Equations, Segment 2: Encryption Video Transcript: Algebra Applications: Systems of Equations, Segment 2: Encryption

This is the transcript for the video of same title. Video contents: Secret codes and encryption are ideal examples of a system of equations. In this activity, students encrypt and decrypt a message.

This is part of a collection of video transcript from the Algebra Applications 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 Applications: Systems of Equations, Segment 3: Ballistic Missiles Video Transcript: Algebra Applications: Systems of Equations, Segment 3: Ballistic Missiles Video Transcript: Algebra Applications: Systems of Equations, Segment 3: Ballistic Missiles

This is the transcript for the video of same title. Video contents: A ballistic missile shield allows you to shoot incoming missiles out of the sky. Mathematically, this is an example of a linear-quadratic system. Students graph such a system and find the points of intersection between a line and a parabola.

Applications of Linear Systems, Matrix Operations and Solving Systems of Equations
Video Transcript: Algebra Applications: Variables and Equations, Segment 1: Introduction. Video Transcript: Algebra Applications: Variables and Equations, Segment 1: Introduction. Video Transcript: Algebra Applications: Variables and Equations, Segment 1: Introduction.

This is the transcript for the video of same title. Video contents: An overview of the key topics to be covered in the video.

This is part of a collection of video transcript from the Algebra Applications 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 Equations and Inequalities
Video Transcript: Algebra Applications: Variables and Equations, Segment 3: River Ratios Video Transcript: Algebra Applications: Variables and Equations, Segment 3: River Ratios Video Transcript: Algebra Applications: Variables and Equations, Segment 3: River Ratios

This is the transcript for the video of same title. Video contents: Why do rivers meander instead of traveling in a straight line? In going from point A to point B, why should a river take the circuitous route it does instead of a direct path? Furthermore, what information can the ratio of the river's length to its straight-line distance tell us? In this segment the geological forces that account for a river's motion are explained. In the process, the so-called Meander Ratio is explored. Students construct a mathematical model of a meandering river using the TI-Nspire. Having built the model, students then use it to generate data to find the average of many Meander Ratios. The results show that on average the Meander Ratio is equal to pi.

Applications of Equations and Inequalities and Applications of Ratios, Proportions, and Percents
Video Transcript: Algebra Nspirations: Solving Systems of Equations Video Transcript: Algebra Nspirations: Solving Systems of Equations Video Transcript: Algebra Nspirations: Solving Systems of Equations

This is the transcript for the video of same title. Video contents: Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video introduces students to systems of linear equations in two or three unknowns. To solve these systems, the host illustrates a variety of methods: four involve the TI-Nspire (spreadsheet, graphs and geometry, matrices and nSolve) and two are the classic algebraic methods known as substitution and elimination, also called the linear combinations method. The video ends with a summary of the three possible types of solutions. Concepts explored: equations, linear equations, linear systems

Applications of Linear Systems, Matrix Operations and Solving Systems of Equations
Video Transcript: Algebra Nspirations: Solving Systems of Equations, Part 1 Video Transcript: Algebra Nspirations: Solving Systems of Equations, 1 Video Transcript: Algebra Nspirations: Solving Systems of Equations, Part 1

This is the transcript for the video of same title. Video contents: In this Investigation we 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 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
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