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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Linear Relationships

Lesson 14: Using Linear Relations to Solve Problems

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Video Definition 20--Linear Function Concepts--System of Linear Equations Video Definition 20--Linear Function Concepts--System of Linear Equations Video Definition 20--Linear Function Concepts--System of Linear Equations

This is part of a collection of math video definitions related to to the topic of linear expressions, equations, and functions. Note: The download is an MP4 video.

Applications of Linear Functions and Graphs of Linear Functions
Video Definition 21--Linear Function Concepts--Solution to a Linear Equation Video Definition 21--Linear Function Concepts--Solution to a Linear Equation Video Definition 21--Linear Function Concepts--Solution to a Linear Equation

This is part of a collection of math video definitions related to to the topic of linear expressions, equations, and functions. Note: The download is an MP4 video.

Solving Systems of Equations
Video Definition 22--Linear Function Concepts--Proportional Relationship Video Definition 22--Linear Function Concepts--Proportional Relationship Video Definition 22--Linear Function Concepts--Proportional Relationship

This is part of a collection of math video definitions related to to the topic of linear expressions, equations, and functions. Note: The download is an MP4 video.

Proportions
Video Definition 23--Linear Function Concepts--Scatter Plot Video Definition 23--Linear Function Concepts--Scatter Plot Video Definition 23--Linear Function Concepts--Scatter Plot

This is part of a collection of math video definitions related to to the topic of linear expressions, equations, and functions. Note: The download is an MP4 video.

Data Analysis
Video Definition 24--Linear Function Concepts--Least Squares Regression Line Video Definition 24--Linear Function Concepts--Least Squares Regression Line Video Definition 24--Linear Function Concepts--Least Squares Regression Line

This is part of a collection of math video definitions related to to the topic of linear expressions, equations, and functions. Note: The download is an MP4 video.

Data Analysis
Video Definition 25--Linear Function Concepts--Linear Regression Video Definition 25--Linear Function Concepts--Linear Regression Video Definition 25--Linear Function Concepts--Linear Regression

This is part of a collection of math video definitions related to to the topic of linear expressions, equations, and functions. Note: The download is an MP4 video.

Data Analysis
Video Definition 26--Linear Function Concepts--Correlation Coefficient Video Definition 26--Linear Function Concepts--Correlation Coefficient Video Definition 26--Linear Function Concepts--Correlation Coefficient

This is part of a collection of math video definitions related to to the topic of linear expressions, equations, and functions. Note: The download is an MP4 video.

Data Analysis
Video Definition 27--Linear Function Concepts--Linear Expression Video Definition 27--Linear Function Concepts--Linear Expression Video Definition 27--Linear Function Concepts--Linear Expression

This is part of a collection of math video definitions related to to the topic of linear expressions, equations, and functions. Note: The download is an MP4 video.

Variable Expressions
Video Definition 28--Linear Function Concepts--Inverse of a Linear Function Video Definition 28--Linear Function Concepts--Inverse of a Linear Function Video Definition 28--Linear Function Concepts--Inverse of a Linear Function

This is part of a collection of math video definitions related to to the topic of linear expressions, equations, and functions. Note: The download is an MP4 video.

Functions and Their Inverses
Video Definition 29--Linear Function Concepts--Piecewise Linear Functions Video Definition 29--Linear Function Concepts--Piecewise Linear Functions Video Definition 29--Linear Function Concepts--Piecewise Linear Functions

This is part of a collection of math video definitions related to to the topic of linear expressions, equations, and functions. Note: The download is an MP4 video.

Special Functions
Video Definition 3--Linear Function Concepts--Increasing Linear Function Video Definition 3--Linear Function Concepts--Increasing Linear Function Video Definition 3--Linear Function Concepts--Increasing Linear Function

This is part of a collection of math video definitions related to to the topic of linear expressions, equations, and functions. Note: The download is an MP4 video.

Slope-Intercept Form
Video Definition 30--Linear Function Concepts--Discrete Linear Functions Video Definition 30--Linear Function Concepts--Discrete Linear Functions Video Definition 30--Linear Function Concepts--Discrete Linear Functions

This is part of a collection of math video definitions related to to the topic of linear expressions, equations, and functions. Note: The download is an MP4 video.

Special Functions
Video Definition 31--Linear Function Concepts--Graph of a Linear Function Video Definition 31--Linear Function Concepts--Graph of a Linear Function Video Definition 31--Linear Function Concepts--Graph of a Linear Function

This is part of a collection of math video definitions related to to the topic of linear expressions, equations, and functions. Note: The download is an MP4 video.

Graphs of Linear Functions
Video Definition 32--Linear Function Concepts--Linear Binomial Video Definition 32--Linear Function Concepts--Linear Binomial Video Definition 32--Linear Function Concepts--Linear Binomial

This is part of a collection of math video definitions related to to the topic of linear expressions, equations, and functions. Note: The download is an MP4 video.

Polynomial Expressions
Video Definition 33--Linear Function Concepts--Coefficient of the Linear Term Video Definition 33--Linear Function Concepts--Coefficient of the Linear Term Video Definition 33--Linear Function Concepts--Coefficient of the Linear Term

This is part of a collection of math video definitions related to to the topic of linear expressions, equations, and functions. Note: The download is an MP4 video.

Variable Expressions
Video Definition 34--Linear Function Concepts--Constant Term Video Definition 34--Linear Function Concepts--Constant Term Video Definition 34--Linear Function Concepts--Constant Term

This is part of a collection of math video definitions related to to the topic of linear expressions, equations, and functions. Note: The download is an MP4 video.

Numerical Expressions
Video Definition 4--Linear Function Concepts--Decreasing Linear Function Video Definition 4--Linear Function Concepts--Decreasing Linear Function Video Definition 4--Linear Function Concepts--Decreasing Linear Function

This is part of a collection of math video definitions related to to the topic of linear expressions, equations, and functions. Note: The download is an MP4 video.

Slope-Intercept Form
Video Definition 5--Linear Function Concepts--Identity Function Video Definition 5--Linear Function Concepts--Identity Function Video Definition 5--Linear Function Concepts--Identity Function

This is part of a collection of math video definitions related to to the topic of linear expressions, equations, and functions. Note: The download is an MP4 video.

Slope-Intercept Form
Video Definition 6--Linear Function Concepts--Slope-Intercept Form Video Definition 6--Linear Function Concepts--Slope-Intercept Form Video Definition 6--Linear Function Concepts--Slope-Intercept Form

This is part of a collection of math video definitions related to to the topic of linear expressions, equations, and functions. Note: The download is an MP4 video.

Slope-Intercept Form
Video Definition 7--Linear Function Concepts--Linear Function Tables Video Definition 7--Linear Function Concepts--Linear Function Tables Video Definition 7--Linear Function Concepts--Linear Function Tables

This is part of a collection of math video definitions related to to the topic of linear expressions, equations, and functions. Note: The download is an MP4 video.

Applications of Linear Functions and Graphs of Linear Functions
Video Definition 8--Linear Function Concepts--Point-Slope Form Video Definition 8--Linear Function Concepts--Point-Slope Form Video Definition 8--Linear Function Concepts--Point-Slope Form

This is part of a collection of math video definitions related to to the topic of linear expressions, equations, and functions. Note: The download is an MP4 video.

Point-Slope Form
Video Definition 9--Linear Function Concepts--The Equation of a Line From Two Coordinates Video Definition 9--Linear Function Concepts--The Equation of a Line From Two Coordinates Video Definition 9--Linear Function Concepts--The Equation of a Line From Two Coordinates

This is part of a collection of math video definitions related to to the topic of linear expressions, equations, and functions. Note: The download is an MP4 video.

Point-Slope Form
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 Nspirations: Functions and Relations Video Transcript: Algebra Nspirations: Functions and Relations Video Transcript: Algebra Nspirations: Functions and Relations

This is the transcript for the video of same title. Video contents: Functions are relationships between quantities that change. Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video explores the definition of a function, its vocabulary and notations, and distinguishes the concept of function from a general relation. Multiple representations of functions are provided using the TI-Nspire, while dynamic visuals and scenarios put them into real-world contexts. Concepts explored: functions, relations, equations, quadratic functions, linear functions, multiple representations

Applications of Functions and Relations and Relations and Functions
Video Transcript: Algebra Nspirations: Functions and Relations, Part 1 Video Transcript: Algebra Nspirations: Functions and Relations, 1 Video Transcript: Algebra Nspirations: Functions and Relations, Part 1

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

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 Functions and Relations and Relations and Functions
Video Transcript: Algebra Nspirations: Functions and Relations, Part 2 Video Transcript: Algebra Nspirations: Functions and Relations, 2 Video Transcript: Algebra Nspirations: Functions and Relations, Part 2

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

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 Functions and Relations and Relations and Functions
Video Transcript: Algebra Nspirations: Linear Functions, Part 1 Video Transcript: Algebra Nspirations: Linear Functions, 1 Video Transcript: Algebra Nspirations: Linear Functions, Part 1

This is the transcript for the video of same title. Video contents: In this Investigation we look at linear models for objects moving at a constant speed.

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 Functions and Graphs of Linear Functions
Video Transcript: Algebra Nspirations: Linear Functions, Part 2 Video Transcript: Algebra Nspirations: Linear Functions, 2 Video Transcript: Algebra Nspirations: Linear Functions, Part 2

This is the transcript for the video of same title. Video contents: In this Investigation we look at a linear regression for carbon dioxide emission data.

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 Functions and Graphs of Linear Functions
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 Nspirations: Variables and Equations Video Transcript: Algebra Nspirations: Variables and Equations Video Transcript: Algebra Nspirations: Variables and Equations

This is the transcript for the video of same title. Video contents: Ever since the mathematics of the Babylonians, equations have played a central role in the development of algebra. Written and hosted by internationally acclaimed mathematics educator Dr. Monica Neagoy, this video traces the history and evolution of equations. It explores the two principal equations encountered in an introductory algebra course -- linear and quadratic -- in an engaging way. The foundations of algebra are explored and fundamental questions about the nature of algebra are answered. In addition, problems involving linear and quadratic equations are solved using the TI-Nspire graphing calculator. Algebra teachers looking to integrate hand-held technology and visual media into their instruction will benefit greatly from this series.

Applications of Equations and Inequalities
Video Transcript: Linear Functions: Negative Slope, Negative y-Intercept Video Transcript: Linear Functions: Negative Slope, Negative y-Intercept Video Transcript: Linear Functions: Negative Slope, Negative y-Intercept

This is the transcript that goes with the video segment entitled Video: Linear Functions: Negative Slope, Negative y-Intercept.

This is part of a collection of video transcripts for the video tutorial series on Linear Functions. 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.

Graphs of Linear Functions
Video Transcript: Linear Functions: Negative Slope, Positive y-Intercept Video Transcript: Linear Functions: Negative Slope, Positive y-Intercept Video Transcript: Linear Functions: Negative Slope, Positive y-Intercept

This is the transcript that goes with the video segment entitled Video: Linear Functions: Negative Slope, Positive y-Intercept.

This is part of a collection of video transcripts for the video tutorial series on Linear Functions. 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.

Graphs of Linear Functions
Video Transcript: Linear Functions: Negative Slope, Zero y-Intercept Video Transcript: Linear Functions: Negative Slope, Zero y-Intercept Video Transcript: Linear Functions: Negative Slope, Zero y-Intercept

This is the transcript that goes with the video segment entitled Video: Linear Functions: Negative Slope, Zero y-Intercept.

This is part of a collection of video transcripts for the video tutorial series on Linear Functions. 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.

Graphs of Linear Functions
Video Transcript: Linear Functions: Positive Slope, Negative y-Intercept Video Transcript: Linear Functions: Positive Slope, Negative y-Intercept Video Transcript: Linear Functions: Positive Slope, Negative y-Intercept

This is the transcript that goes with the video segment entitled Video: Linear Functions: Positive Slope, Negative y-Intercept.

This is part of a collection of video transcripts for the video tutorial series on Linear Functions. 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.

Graphs of Linear Functions
Video Transcript: Linear Functions: Positive Slope, Positive y-Intercept Video Transcript: Linear Functions: Positive Slope, Positive y-Intercept Video Transcript: Linear Functions: Positive Slope, Positive y-Intercept

This is the transcript that goes with the video segment entitled Video: Linear Functions: Positive Slope, Positive y-Intercept.

This is part of a collection of video transcripts for the video tutorial series on Linear Functions. 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.

Graphs of Linear Functions
Video Transcript: Linear Functions: Positive Slope, Zero y-Intercept Video Transcript: Linear Functions: Positive Slope, Zero y-Intercept Video Transcript: Linear Functions: Positive Slope, Zero y-Intercept

This is the transcript that goes with the video segment entitled Video: Linear Functions: Positive Slope, Zero y-Intercept.

This is part of a collection of video transcripts for the video tutorial series on Linear Functions. 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.

Graphs of Linear Functions
Video Transcript: Slope Formula: Negative Slope, Coordinates in Quadrant I Video Transcript: Slope Formula: Negative Slope, Coordinates in Quadrant I Video Transcript: Slope Formula: Negative Slope, Coordinates in Quadrant I

This is the transcript that goes with the video segment entitled Video Tutorial: Slope Formula: Negative Slope, Coordinates in Quadrant I.

This is part of a collection of video transcripts for the video tutorial series on the Slope Formula. 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.

Slope
Video Transcript: Slope Formula: Negative Slope, Coordinates in Quadrant II Video Transcript: Slope Formula: Negative Slope, Coordinates in Quadrant II Video Transcript: Slope Formula: Negative Slope, Coordinates in Quadrant II

This is the transcript that goes with the video segment entitled Video Tutorial: Slope Formula: Negative Slope, Coordinates in Quadrant II.

This is part of a collection of video transcripts for the video tutorial series on the Slope Formula. 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.

Slope
Video Transcript: Slope Formula: Negative Slope, Coordinates in Quadrant III Video Transcript: Slope Formula: Negative Slope, Coordinates in Quadrant III Video Transcript: Slope Formula: Negative Slope, Coordinates in Quadrant III

This is the transcript that goes with the video segment entitled Video Tutorial: Negative Slope, Coordinates in Quadrant III.

This is part of a collection of video transcripts for the video tutorial series on the Slope Formula. 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.

Slope
Video Transcript: Slope Formula: Negative Slope, Coordinates in Quadrant IV Video Transcript: Slope Formula: Negative Slope, Coordinates in Quadrant IV Video Transcript: Slope Formula: Negative Slope, Coordinates in Quadrant IV

This is the transcript that goes with the video segment entitled Video Tutorial: Slope Formula: Negative Slope, Coordinates in Quadrant IV.

This is part of a collection of video transcripts for the video tutorial series on the Slope Formula. 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.

Slope
Video Transcript: Slope Formula: Negative Slope, Coordinates in Quadrants I and II Video Transcript: Slope Formula: Negative Slope, Coordinates in Quadrants I and II Video Transcript: Slope Formula: Negative Slope, Coordinates in Quadrants I and II

This is the transcript that goes with the video segment entitled Video Tutorial: Slope Formula: Negative Slope, Coordinates in Quadrants I and II.

This is part of a collection of video transcripts for the video tutorial series on the Slope Formula. 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.

Slope
Video Transcript: Slope Formula: Negative Slope, Coordinates in Quadrants III and IV Video Transcript: Slope Formula: Negative Slope, Coordinates in Quadrants III and IV Video Transcript: Slope Formula: Negative Slope, Coordinates in Quadrants III and IV

This is the transcript that goes with the video segment entitled Video Tutorial: Slope Formula: Negative Slope, Coordinates in Quadrants III and IV.

This is part of a collection of video transcripts for the video tutorial series on the Slope Formula. 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.

Slope
Video Transcript: Slope Formula: Positive Slope, Coordinates in Quadrant I Video Transcript: Slope Formula: Positive Slope, Coordinates in Quadrant I Video Transcript: Slope Formula: Positive Slope, Coordinates in Quadrant I

This is the transcript that goes with the video segment entitled Video Tutorial: Slope Formula: Positive Slope, Coordinates in Quadrant I.

This is part of a collection of video transcripts for the video tutorial series on the Slope Formula. 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.

Slope
Video Transcript: Slope Formula: Positive Slope, Coordinates in Quadrant II Video Transcript: Slope Formula: Positive Slope, Coordinates in Quadrant II Video Transcript: Slope Formula: Positive Slope, Coordinates in Quadrant II

This is the transcript that goes with the video segment entitled Video Tutorial: Slope Formula: Positive Slope, Coordinates in Quadrant II.

This is part of a collection of video transcripts for the video tutorial series on the Slope Formula. 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.

Slope
Video Transcript: Slope Formula: Positive Slope, Coordinates in Quadrant III Video Transcript: Slope Formula: Positive Slope, Coordinates in Quadrant III Video Transcript: Slope Formula: Positive Slope, Coordinates in Quadrant III

This is the transcript that goes with the video segment entitled Video Tutorial: Slope Formula: Positive Slope, Coordinates in Quadrant III.

This is part of a collection of video transcripts for the video tutorial series on the Slope Formula. 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.

Slope