Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Linear Equations and Linear Systems

Lesson 10: On or Off the Line?

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Collection Systems of Equations: Algebra Applications Videos Here is a collection of videos that show real-world applications of Systems of Equations. Applications of Linear Systems and Solving Systems of Equations
Collection Systems of Equations: Basic Terms and Definitions These are key terms and definitions around the topic of Systems of Linear Equations. Solving Systems of Equations, Applications of Linear Systems and Matrix Operations
Math Examples Math Examples Collection: Systems of Equations

Overview

This collection aggregates all the math examples around the topic of Systems of Equations. There are a total of 38 Math Examples. This collection of resources is made up of downloadable PNG images that you can easily incorporate into your lesson plans.

 

To learn more about Media4Math's Math Examples, click on this video link.

 

Numerical and Algebraic Expressions and Solving Systems of Equations
Systems Collection Math Definitions Collection: Systems of Equations

Overview

This collection aggregates all the definition image cards around the topic of Linear Systems terms and vocabulary. There are a total of 13 terms. This collection of resources is made up of downloadable PNG files that you can easily incorporate into a presentation.

 

 

 

Solving Systems of Equations
Math Videos Math Video Collection: Texas Instruments Tutorial Videos

Overview

This collection aggregates all the math videos and resources in this series: Texas Instruments Tutorial Videos. There are a total of 266 resources. This collection of resources is made up of downloadable MP4, transcripts, and other resources files that you can easily incorporate into a presentation.

 

Rational Expressions, Sequences, Series, Polynomial Functions and Equations, Graphs of Quadratic Functions, Quadratic Equations and Functions, Solving Systems of Equations, Trig Expressions and Identities, Probability, Geometric Constructions with Triangles, Composite Functions, Geometric Constructions with Angles and Planes, Distance Formula, Data Analysis, Slope, Special Functions, Trigonometric Functions, Graphs of Exponential and Logarithmic Functions, Radical Functions and Equations, Rational Functions and Equations, Slope-Intercept Form, Coordinate Systems, Graphs of Linear Functions, Inequalities, Matrix Operations and Midpoint Formula
Math Videos Math Video Collection: Algebra Applications Video Series: Systems of Equations

Overview

This collection aggregates all the math videos and resources in this series: Algebra Applications Video Series: Systems of Equations. There are a total of 23 resources. This collection of resources is made up of downloadable MP4, transcripts, and other resources files that you can easily incorporate into a presentation.

 

Applications of Linear Systems, Solving Systems of Equations and Matrix Operations
Math Worksheets Math Worksheet Collection: Solving Linear Systems

Overview

This collection aggregates all the math worksheets around the topic of Solving Linear Systems. There are a total of 4 worksheets. Each worksheet includes an answer key. This collection of resources is made up of downloadable PDF files that you can easily incorporate into your instruction.

 

To download the full set of these resources, click on this link.

 

Solving Systems of Equations
Collection Systems of Equations: Quizlet Flash Cards Here is a collection of Quizlet Flash Card sets around the topic of Systems of Equations. Solving Systems of Equations
Collection Systems of Equations: Instructional Resources Here are a collection of PowerPoint presentations that cover various subtopics in Systems of Equations. Solving Systems of Equations and Applications of Linear Systems
Collection Systems of Equations: Worksheets Here are some worksheets around the topic of Systems of Equations. Solving Systems of Equations and Matrix Operations
Collection Systems of Equations: Promethean Flipcharts Here is a collection of Promethean Flipcharts around the topic of Systems of Equations. Applications of Linear Systems
Collection Systems of Equations: Texas Instruments Graphing Calculator Videos Here are various resources that utilize Texas Instruments graphing calculator technology to explore the topic of Systems of Equations. Solving Systems of Equations and Matrix Operations
Collection Systems of Equations: Video Transcripts Here are the video transcripts for the video resources around Systems of Equations. Applications of Linear Systems, Matrix Operations and Solving Systems of Equations
Algebra Applications Teacher's Guide: Equations Algebra Applications Teacher's Guide: Equations Algebra Applications Teacher's Guide: Equations

This is the Teacher's Guide that accompanies Algebra Applications: 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: Algebra Applications: Systems of Equations VIDEO: Algebra Applications: Systems of Equations VIDEO: Algebra Applications: Systems of Equations

Topic

Systems of Equations

Applications of Linear Systems and Solving Systems of Equations
VIDEO: Algebra Applications: Variables and Equations VIDEO: Algebra Applications: Variables and Equations VIDEO: Algebra Applications: Variables and Equations

Topic

Equations

Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
Algebra Nspirations Teacher's Guide: Variables and Equations Algebra Nspirations Teacher's Guide: Variables and Equations Algebra Nspirations Teacher's Guide: Variables and Equations

This is the Teacher's Guide that accompanies Algebra Nspirations: Variables and 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: Algebra Nspirations: Inequalities VIDEO: Algebra Nspirations: Inequalities VIDEO: Algebra Nspirations: Inequalities

Topic

Inequalities

Applications of Equations and Inequalities and Inequalities
VIDEO: Algebra Nspirations: Solving Systems of Equations VIDEO: Algebra Nspirations: Solving Systems of Equations VIDEO: Algebra Nspirations: Solving Systems of Equations

Topic

Systems of Equations

Applications of Linear Systems and Solving Systems of Equations
VIDEO: Algebra Nspirations: Variables and Equations VIDEO: Algebra Nspirations: Variables and Equations VIDEO: Algebra Nspirations: Variables and Equations

Topic

Equations

Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
Closed Captioned Video: Algebra Applications: Systems of Equations Closed Captioned Video: Algebra Applications: Systems of Equations Closed Captioned Video: Algebra Applications: Systems of Equations

Topic

Systems of Equations

Applications of Linear Systems and Solving Systems of Equations
Closed Captioned Video: Algebra Applications: Systems of Equations, Segment 1: Profit and Loss Closed Captioned Video: Algebra Applications: Systems of Equations, 1 Closed Captioned Video: Algebra Applications: Systems of Equations, 1

Topic

Systems of Equations

Description

Explores profit and loss through linear functions, focusing on break-even points and business profitability using TI-Nspire for visualizations.

This video demonstrates the mathematical principles of Systems of Equations through practical applications. By focusing on real-world scenarios, it provides a unique lens to understand the interplay of mathematical models and their uses in problem-solving.

Applications of Linear Systems and Solving Systems of Equations
Closed Captioned Video: Algebra Applications: Systems of Equations, Segment 2: Encryption Closed Captioned Video: Algebra Applications: Systems of Equations, 2 Closed Captioned Video: Algebra Applications: Systems of Equations, 2

Topic

Systems of Equations

Description

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

This video demonstrates the mathematical principles of Systems of Equations through practical applications. By focusing on real-world scenarios, it provides a unique lens to understand the interplay of mathematical models and their uses in problem-solving.

Applications of Linear Systems and Solving Systems of Equations
Closed Captioned Video: Algebra Applications: Systems of Equations, Segment 3: Ballistic Missiles Closed Captioned Video: Algebra Applications: Systems of Equations, 3 Closed Captioned Video: Algebra Applications: Systems of Equations, 3

Topic

Systems of Equations

Description

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

This video demonstrates the mathematical principles of Systems of Equations through practical applications. By focusing on real-world scenarios, it provides a unique lens to understand the interplay of mathematical models and their uses in problem-solving.

Applications of Linear Systems and Solving Systems of Equations
Closed Captioned Video: Algebra Applications: Variables and Equations Closed Captioned Video: Algebra Applications: Variables and Equations Closed Captioned Video: Algebra Applications: Variables and Equations

Topic

Equations

Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
Closed Captioned Video: Algebra Applications: Variables and Equations, Segment 1: Introduction Closed Captioned Video: Algebra Applications: Variables and Equations, 1 Closed Captioned Video: Algebra Applications: Variables and Equations, 1

Topic

Equations

Description

The video introduces algebraic expressions and their ability to represent both known and unknown quantities. It defines variables as placeholders for unknowns and explains equations as relationships between two expressions. Key concepts include solving for variables and understanding the role of variables in equations. Key vocabulary includes variable, unknown quantity, and equation. The applications discussed include investigations into real-world scenarios such as honeybee populations and river geology.

Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
Closed Captioned Video: Algebra Applications: Variables and Equations, Segment 2: Honey Production Closed Captioned Video: Algebra Applications: Variables and Equations, 2 Closed Captioned Video: Algebra Applications: Variables and Equations, 2

Topic

Equations

Description

The video investigates the geometry of river meanders using the concept of the meander ratio, calculated as the ratio of a river’s sinuous length to its straight-line length. It uses a TI-Nspire calculator to simulate river paths and compute ratios. Key vocabulary includes meander ratio, sinuous length, and geometric modeling. Applications highlight the mathematical modeling of natural phenomena and the occurrence of pi in nature.

Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
Closed Captioned Video: Algebra Applications: Variables and Equations, Segment 3: River Ratios Closed Captioned Video: Algebra Applications: Variables and Equations, 3 Closed Captioned Video: Algebra Applications: Variables and Equations, 3

Topic

Equations

Description

This segment explores the impact of colony collapse disorder on honey production using statistical data. It introduces box and whisker plots and the calculation of mean as statistical tools to analyze honey yields. Key vocabulary includes colony collapse disorder, box plot, and mean. Applications include modeling bee population declines and their broader ecological and agricultural implications.

Applications of Equations and Inequalities, Variables and Unknowns, Variable Expressions and Applications of Ratios, Proportions, and Percents
Closed Captioned Video: Algebra Nspirations: Inequalities Closed Captioned Video: Algebra Nspirations: Inequalities Closed Captioned Video: Algebra Nspirations: Inequalities

Used in just about any industry, inequalities, like equations, are fundamental building blocks of algebra. Written and hosted by internationally acclaimed mathematics educator Dr. Monica Neagoy, this video explores inequalities—concepts, properties, solutions, and notations— connects them to real-world contexts, and uses the TI-Nspire to make the algebra meaningful. The focus of this program is on linear inequalities in one and two variables. Concepts explored: Equations, inequalities.

Applications of Equations and Inequalities and Inequalities
Closed Captioned Video: Algebra Nspirations: Inequalities, Segment 1 Closed Captioned Video: Algebra Nspirations: Inequalities, 1 Closed Captioned Video: Algebra Nspirations: Inequalities, Segment 1

In this Investigation we explore linear inequalities in one variable. This video is Segment 1 of a 4 segment series related to Algebra Nspirations: Inequalities. Segments 1 and 2 are grouped together.

Applications of Equations and Inequalities and Inequalities
Closed Captioned Video: Algebra Nspirations: Inequalities, Segment 3 Closed Captioned Video: Algebra Nspirations: Inequalities, 3 Closed Captioned Video: Algebra Nspirations: Inequalities, Segment 3

In this Investigation we look at linear inequalities in two variables. This video is Segment 3 of a 4 segment series related to Algebra Nspirations: Inequalities. Segments 3 and 4 are grouped together.

Applications of Equations and Inequalities and Inequalities
Closed Captioned Video: Algebra Nspirations: Solving Systems of Equations Closed Captioned Video: Algebra Nspirations: Solving Systems of Equations Closed Captioned Video: Algebra Nspirations: Solving 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.

Applications of Linear Systems and Solving Systems of Equations
Closed Captioned Video: Algebra Nspirations: Solving Systems of Equations, Segment 1 Closed Captioned Video: Algebra Nspirations: Solving Systems of Equations, 1 Closed Captioned 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. Segments 1 and 2 are grouped together.

Applications of Linear Systems and Solving Systems of Equations
Closed Captioned Video: Algebra Nspirations: Solving Systems of Equations, Segment 3 Closed Captioned Video: Algebra Nspirations: Solving Systems of Equations, 3 Closed Captioned 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. Segments 3 and 4 are grouped together.

Applications of Linear Systems and Solving Systems of Equations
Closed Captioned Video: Algebra Nspirations: Variables and Equations Closed Captioned Video: Algebra Nspirations: Variables and Equations Closed Captioned Video: Algebra Nspirations: Variables and Equations

Ever since the mathematics of the Babylonians, equations have played a central role in the development of algebra. Written and hosted by internationally acclaimed mathematics educator Dr. Monica Neagoy, this video traces the history and evolution of equations. It explores the two principal equations encountered in an introductory algebra course--linear and quadratic--in an engaging way. The foundations of algebra are explored and fundamental questions about the nature of algebra are answered. In addition, problems involving linear and quadratic equations are solved using the TI-Nspire graphing calculator. Algebra teachers looking to integrate hand-held technology and visual media into their instruction will benefit greatly from this series.

Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
Closed Captioned Video: Algebra Nspirations: Variables and Equations, Segment 1 Closed Captioned Video: Algebra Nspirations: Variables and Equations, 1 Closed Captioned Video: Algebra Nspirations: Variables and Equations, Segment 1

In this Investigation we get a historical overview of equations. This video is Segment 1 of a 2 segment series related to Variables and Equations.

Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
Closed Captioned Video: Algebra Nspirations: Variables and Equations, Segment 3 Closed Captioned Video: Algebra Nspirations: Variables and Equations, 3 Closed Captioned Video: Algebra Nspirations: Variables and Equations, Segment 3

In this Investigation we solve linear and quadratic equations. This video is Segment 3 of a 4 segment series related to Variables and Equations. Segments 3 and 4 are grouped together.

Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
Closed Captioned Video: Algebra Tiles: Modeling Equations Using Algebra Tiles Closed Captioned Video: Algebra Tiles: Modeling Equations Using Algebra Tiles Closed Captioned Video: Algebra Tiles: Modeling Equations Using Algebra Tiles

Description

Video Tutorial: Algebra Tiles: Modeling Equations Using Algebra Tiles. In this tutorial, review the basic definition of what algebra tiles are and how they are used. Then the video focuses on how to model equations using algebra tiles.

This is part of a collection of video tutorials the topic of Algebra Tiles.This series of videos describes what algebra tiles are and how they can be used to model numbers, operations, expressions, and equations. Use this series if you are incorporating the use of algebra tiles in your instruction.

Algebra Tiles--Expressions and Equations
Closed Captioned Video: Anatomy of an Equation: One-Step Addition Equations Closed Captioned Video: Anatomy of an Equation: One-Step Addition Equations Closed Captioned Video: Anatomy of an Equation: One-Step Addition Equations

In this video learn the mechanics of solving one-step equations involving addition. .

Solving One-Step Equations
Closed Captioned Video: Anatomy of an Equation: One-Step Addition Equations 2 Closed Captioned Video: Anatomy of an Equation: One-Step Addition Equations 2 Closed Captioned Video: Anatomy of an Equation: One-Step Addition Equations 2

In this video learn the mechanics of solving one-step equations involving addition. .

Solving One-Step Equations
Closed Captioned Video: Anatomy of an Equation: One-Step Division Equations Closed Captioned Video: Anatomy of an Equation: One-Step Division Equations Closed Captioned Video: Anatomy of an Equation: One-Step Division Equations

In this video learn the mechanics of solving one-step equations involving division. .

Solving One-Step Equations
Closed Captioned Video: Anatomy of an Equation: One-Step Multiplication Equations Closed Captioned Video: Anatomy of an Equation: One-Step Multiplication Equations Closed Captioned Video: Anatomy of an Equation: One-Step Multiplication Equations

In this video learn the mechanics of solving one-step equations involving multiplication. .

Solving One-Step Equations
Closed Captioned Video: Anatomy of an Equation: One-Step Subtraction Equations Closed Captioned Video: Anatomy of an Equation: One-Step Subtraction Equations Closed Captioned Video: Anatomy of an Equation: One-Step Subtraction Equations

In this video learn the mechanics of solving one-step equations involving subtraction. .

Solving One-Step Equations
Closed Captioned Video: Anatomy of an Equation: One-Step Subtraction Equations 2 Closed Captioned Video: Anatomy of an Equation: One-Step Subtraction Equations 2 Closed Captioned Video: Anatomy of an Equation: One-Step Subtraction Equations 2

In this video learn the mechanics of solving one-step equations involving subtraction. .

Solving One-Step Equations
Closed Captioned Video: One-Step Equations: Addition Closed Captioned Video: One-Step Equations: Addition Closed Captioned Video: One-Step Equations: Addition

Video Tutorial: One-Step Equations: Addition. In this video, get an overview of one-step equations and how to solve them. In particular, look at one-step addition equations.

Solving One-Step Equations
Closed Captioned Video: One-Step Equations: Division Closed Captioned Video: One-Step Equations: Division Closed Captioned Video: One-Step Equations: Division

Video Tutorial: One-Step Equations: Division. In this video, students get an overview of one-step equations and how to solve them. In particular, look at one-step division equations.

Solving One-Step Equations
Closed Captioned Video: One-Step Equations: Multiplication Closed Captioned Video: One-Step Equations: Multiplication Closed Captioned Video: One-Step Equations: Multiplication

Video Tutorial: One-Step Equations: Multiplication. In this video, students get an overview of one-step equations and how to solve them. In particular, look at one-step multiplication equations.

Solving One-Step Equations
Closed Captioned Video: One-Step Equations: Subtraction Closed Captioned Video: One-Step Equations: Subtraction Closed Captioned Video: One-Step Equations: Subtraction

Video Tutorial: One-Step Equations: Subtraction. In this video, students get an overview of one-step equations and how to solve them. In particular, look at one-step subtraction equations.

Solving One-Step Equations
Closed Captioned Video: Overview of Variables and Equations Closed Captioned Video: Overview of Variables and Equations Closed Captioned Video: Overview of Variables and Equations

In this video segment, get an overview of variables and equations, along with the evolution of algebraic notation.

Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
Closed Captioned Video: TI-Nspire Mini-Tutorial: (CAS) Solving a System of Two Linear Equations Closed Captioned Video: Solving a System Closed Captioned Video: Solving a System

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. .

This is part of a collection of closed captioned videos on various math topics. To see the complete collection of the videos, click on this link. Note: The download is Media4Math's guide to closed captioned videos.

Related Resources

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

Video Transcripts

This video has a transcript available. To see the complete collection of video transcripts, click on this link.
Solving Systems of Equations