Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Linear Equations and Linear Systems

Lesson 15: Writing Systems of Equations

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
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: 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
VIDEO: Algebra Nspirations: Solving Systems of Equations, Segment 1 VIDEO: Algebra Nspirations: Solving Systems of Equations, 1 VIDEO: Algebra Nspirations: Solving Systems of Equations, 1

Topic

Systems of Equations

Description

This video introduces systems of equations, solving them graphically, numerically, and with TI-Nspire. Key topics include slope-intercept and standard forms, intersections of lines, and linear systems applications. Examples range from rental car cost comparisons to cell phone plans. The video emphasizes efficient problem-solving methods and practical interpretation of solutions.

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, 2

Topic

Systems of Equations

Description

In this Math Lab explore profit and loss graphs of linear functions.

In this video, students will explore the core principles of Systems of Equations, developing skills to solve real-world problems effectively. The video includes demonstrations and examples to connect mathematics to everyday life.

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, 3

Topic

Systems of Equations

Description

The focus is on advanced methods for solving systems of equations, including nSolve and matrix row reduction (RREF). Practical examples such as ticket sales for a school play are used. Key vocabulary includes augmented matrix, consistency, and dependent systems. Applications extend to real-world decision-making and deeper algebraic understanding.

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, 4

Topic

Systems of Equations

Description

In this Math Lab explore non-linear systems.

In this video, students will explore the core principles of Systems of Equations, developing skills to solve real-world problems effectively. The video includes demonstrations and examples to connect mathematics to everyday life.

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

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Worksheet Library

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