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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Linear Equations and Linear Systems

Lesson 16: Solving Problems with Systems of Equations

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
The Equation Game: Teacher's Guide The Equation Game: Teacher's Guide The Equation Game: Teacher's Guide

In this hands-on game using readily available materials in your class or (in the case of virtual learning) home, students learn to model equations. They'll use this model to explore properties of equality and get a concrete grounding in the properties of equations.

This is part of a collection of teacher's guides. To see the complete collection of teacher's guides, click on this link. Note: The download is a PDF file.

Related Resources

To see resources related to this topic click on the Related Resources tab above.

Applications of Equations and Inequalities
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: 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: 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 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
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, Segment 1: Profit and Loss

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.

This is part of a collection of videos from the Algebra Applications video series on the topic of Systems of Equations.

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, Segment 2: Encryption

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 videos from the Algebra Applications video series on the topic of Systems of Equations.

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, Segment 3: Ballistic Missiles

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.

This is part of a collection of videos from the Algebra Applications video series on the topic of Systems of Equations.

Applications of Linear Systems and Solving Systems of Equations
VIDEO: Algebra Nspirations: Solving Systems of Equations, Segment 1 VIDEO: Algebra Nspirations: Solving Systems of Equations, 1 VIDEO: Algebra Nspirations: Solving Systems of Equations, Segment 1

In this Investigation we solve a linear system. This video is Segment 1 of a 4 segment series related to Algebra Nspirations: Solving Systems of Equations.

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

In this Math Lab, we explore the break-even point for a business. This video is Segment 2 of a 4 segment series related to Algebra Nspirations: Solving Systems of Equations.

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

In this Investigation we use matrices and the elimination method to solve a linear system. This video is Segment 3 of a 4 segment series related to Algebra Nspirations: Solving Systems of Equations.

Applications of Linear Systems and Solving Systems of Equations
VIDEO: Algebra Nspirations: Solving Systems of Equations, Segment 4 VIDEO: Algebra Nspirations: Solving Systems of Equations, 4 VIDEO: Algebra Nspirations: Solving Systems of Equations, Segment 4

In this Math Lab we explore the graphical solution of a nonlinear system. This video is Segment 4 of a 4 segment series related to Algebra Nspirations: Solving Systems of Equations.

Applications of Linear Systems and Solving Systems of Equations
VIDEO: TI-Nspire Mini-Tutorial: (CAS) Solving a System of Two Linear Equations VIDEO: Ti-Nspire Mini-Tutorial, Video 32 VIDEO: TI-Nspire Mini-Tutorial: (CAS) Solving a System of Two Linear Equations

In this TI Nspire tutorial for the TI-Nspire CAS, the Calculator Window is used to solve a linear system. This video supports the TI-Nspire Clickpad and Touchpad.

Solving Systems of Equations
Worksheet: Solving Linear Systems, Set 02 Worksheet: Solving Linear Systems, Set 02 Worksheet: Solving Linear Systems, Set 02

This is part of a collection of math worksheets on the topic of solving linear systems.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

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Worksheet Library

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Solving Systems of Equations
Worksheet: Solving Linear Systems, Set 03 Worksheet: Solving Linear Systems, Set 03 Worksheet: Solving Linear Systems, Set 03

This is part of a collection of math worksheets on the topic of solving linear systems.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Solving Systems of Equations
Worksheet: Solving Linear Systems, Set 04 Worksheet: Solving Linear Systems, Set 04 Worksheet: Solving Linear Systems, Set 04

This is part of a collection of math worksheets on the topic of solving linear systems.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Solving Systems of Equations
Worksheet: Solving Linear Systems-Set 01 Worksheet: Solving Linear Systems-Set 01 Worksheet: Solving Linear Systems-Set 01

This is part of a collection of math worksheets on the topic of solving linear systems.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Solving Systems of Equations
Worksheet: TI-Nspire Mini-Tutorial: (CAS) Solving a System of Two Linear Equations Worksheet: TI-Nspire Mini-Tutorial: (CAS) Solving a System of Two Linear Equations Worksheet: TI-Nspire Mini-Tutorial: (CAS) Solving a System of Two Linear Equations

This is part of a collection of math worksheets on the use of the TI-Nspire graphing calculator. Each worksheet supports a companion TI-Nspire Mini-Tutorial video. It provides all the keystrokes for the activity.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Solving Systems of Equations