Illustrative Math Alignment: Grade 8 Unit 3

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.

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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.

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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.

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

This is the transcript for the video of same title. Video contents: In this Investigation we solve a linear system.

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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.

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

This is the transcript for the TI-Nspire Mini-Tutorial entitled, Solving a System of Two Linear Equations.

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

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.

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.

In this video, students the basics of equations. They'll learn about true equations, false equations, and conditional equations.

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.

Topic

Systems of Equations

Description

Description: Discusses encryption using linear systems, demonstrating substitution ciphers and matrix-based encoding for secure communication.

Topic

Systems of Equations

Description

Description: Analyzes ballistic missile interception through quadratic systems, graphing missile paths and their intersection as solutions to equations.

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.

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.

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.

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.

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

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Worksheet Library

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

Related Resources

Worksheet Library

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

Related Resources

Worksheet Library

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

Related Resources

Worksheet Library

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.

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Worksheet Library