Illustrative Math Alignment: Grade 8 Unit 3

Overview

Overview

Overview

Overview

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.

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

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.

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.

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.

Secret codes and encryption are ideal examples of a system of equations. In this activity, students encrypt and decrypt a message.

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.

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.

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. Segments 1 and 2 are grouped together.

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. Segments 3 and 4 are grouped together.

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. This Mini-Tutorial Video includes a worksheet. .

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Video Transcripts

This is part of a collection of definitions related to the topic of systems of equations. The focus of most of the terms is linear systems.

This is part of a collection of definitions related to the topic of systems of equations. The focus of most of the terms is linear systems.

This is part of a collection of definitions related to the topic of systems of equations. The focus of most of the terms is linear systems.

This is part of a collection of definitions related to the topic of systems of equations. The focus of most of the terms is linear systems.

This is part of a collection of definitions related to the topic of systems of equations. The focus of most of the terms is linear systems.

This is part of a collection of definitions related to the topic of systems of equations. The focus of most of the terms is linear systems.

This is part of a collection of definitions related to the topic of systems of equations. The focus of most of the terms is linear systems.

This is part of a collection of definitions related to the topic of systems of equations. The focus of most of the terms is linear systems.

This is part of a collection of definitions related to the topic of systems of equations. The focus of most of the terms is linear systems.

This is part of a collection of definitions related to the topic of systems of equations. The focus of most of the terms is linear systems.

This is part of a collection of definitions related to the topic of systems of equations. The focus of most of the terms is linear systems.

This is part of a collection of definitions related to the topic of systems of equations. The focus of most of the terms is linear systems.

This slide show defines non-linear systems, showing examples of linear and quadratic systems.

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This slide show shows how to solve a system using the elimination method.

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Library of Instructional Resources

To see the complete library of Instructional Resources , click on this link.

This slide show shows how to solve a system using the substitution method.

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Library of Instructional Resources

To see the complete library of Instructional Resources , click on this link.

In this Slide Show, learn how to solve a linear system by the elimination method.

Library of Instructional Resources

To see the complete library of Instructional Resources , click on this link.

This slide show shows what a system of equations is.

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Library of Instructional Resources

To see the complete library of Instructional Resources , click on this link.

January 2016. In this issue of Math in the News we explore the dramatic box office returns of Star Wars: The Force Awakens. It provides an excellent opportunity to apply concepts of linear systems.

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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 Note: The download for this resources is the Promethean Flipchart.

To access the full video [Algebra Nspirations: Solving Systems of Equations]: https://media4math.com/library/algebra-nspirations-solving-systems-equations

In this set of Quizlet flash cards test understanding of nonlinear systems.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

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In this set of Quizlet flash cards test understanding of solving systems using the elimination method.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

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In this set of Quizlet flash cards test understanding of solving systems using the substitution method.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

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In this set of Quizlet flash cards test understanding of linear systems.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

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.

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.

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.

To see the complete collection of video transcriptsy, click on this link.

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.