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Illustrative Math-Media4Math Alignment

Illustrative Math Alignment: Grade 8 Unit 3

Linear Equations and Linear Systems

Lesson 13: Solving 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 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, 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, 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 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, 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, 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, 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, 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, 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, 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, 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, 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 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 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 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 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 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