Illustrative Math Alignment: Grade 8 Unit 3

Linear Equations and Linear Systems

Lesson 3: Balanced Moves

Use the following Media4Math resources with this Illustrative Math lesson.

Title	Body	Curriculum Topic
Linear Functions and Equations Collection: Video Tutorials	Overview This collection of videos analyzes linear functions in slope-intercept form. There are a total of 18 videos.	Graphs of Linear Functions, Standard Form, Point-Slope Form, Slope, Special Functions and Applications of Linear Functions
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
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
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
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
Systems of Equations: Promethean Flipcharts	Here is a collection of Promethean Flipcharts around the topic of Systems of Equations.	Applications of Linear Systems
Systems of Equations: Worksheets	Here are some worksheets around the topic of Systems of Equations.	Solving Systems of Equations and Matrix Operations
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
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
Quadratic Functions and Equations Collection: Transcripts	This is a collection of Video Transcripts on various topics in Quadratics.	Graphs of Quadratic Functions, Quadratic Equations and Functions, Quadratic Formula and Applications of Quadratic Functions
Quadratics Collection: Closed Captioned Videos	This is a collection of Closed Captioned Videos on various topics in Quadratics.	Graphs of Quadratic Functions, Quadratic Equations and Functions and Applications of Quadratic Functions
Topic Collection: Desmos Resources: Interactives	These activities use custom-created Desmos graphing calculator screens where students can explore key concepts. A companion worksheet guides them through the activity.	Slope-Intercept Form, Quadratic Equations and Functions, Standard Form and Point-Slope Form
Quadratics Collection: Tutorial Videos	This collection of tutorial videos goes over key concepts in Quadratic Functions and Equations.	Graphs of Quadratic Functions, Quadratic Equations and Functions and Quadratic Formula
Math Worksheet Collection: One-Step Equations	Overview This collection aggregates all the math worksheets around the topic of One-Step Equations. There are a total of 40 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 One-Step Equations
Math Worksheet Collection: Solving One-Step Equations	Overview This collection aggregates all the math worksheets around the topic of Solving One-Step Equations. There are a total of 100 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 One-Step Equations
Math Worksheet Collection: Solving Two-Step Equations	Overview This collection aggregates all the math worksheets around the topic of Solving Two-Step Equations. There are a total of 20 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 Two-Step Equations
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
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 Video Collection: Video Tutorials Series: Solving One-Step Equations	Overview This collection aggregates all the math videos and resources in this series: Video Tutorials Series: One-Step Equations. There are a total of 12 resources. This collection of resources is made up of downloadable MP4, transcripts, and other resources files that you can easily incorporate into a presentation.	Solving One-Step Equations
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 Video Collection: Anatomy of an Equation	Overview This collection aggregates all the math videos and resources in this series: Anatomy of an Equation. There are a total of 105 resources. This collection of resources is made up of downloadable MP4, transcripts, and other resources files that you can easily incorporate into a presentation.	Solving One-Step Equations, Solving Two-Step Equations, Quadratic Equations and Functions and Standard Form
Math Quiz Collection: Equations with Fractions	Overview This collection aggregates all the math quizzes on this topic: Equations with Fractions. There are a total of 3 resources. This collection of quizzes is made up of downloadable PDFs. To download the full set of these resources, click on this link.	Solving Fraction Equations
Math Quiz Collection: Equations with Percents	Overview This collection aggregates all the math quizzes on this topic: Equations with Percents. There are a total of 3 resources. This collection of quizzes is made up of downloadable PDFs. To download the full set of these resources, click on this link.	Solving Percent Equations
Desmos Worksheets and Transcripts	Overview This is a collection of companion resources, including worksheets and transcripts. The worksheets accompany some of the Desmos graphing calculator activities. The transcripts are for the videos.	Slope-Intercept Form, Quadratic Equations and Functions, Standard Form, Point-Slope Form, Definition of an Angle, Definition of a Line, Parallel Lines, Perpendicular Lines, Definition of a Plane, Definition of a Triangle, Geometric Constructions with Triangles, Definition of a Quadrilateral, Geometric Constructions with Polygons and Definition of a Polygon
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 Games Collection: Drag-N-Drop	Overview This is a collection of all our drag-n-drop math games. There are a total of 34 games. These games cover a variety of different skills. Each comes with a large bank of questions, so each game experience will be different. These games are ideal for practice and review.	Addition Facts to 25, Counting, Subtraction Facts to 25, Place Value, Polynomial Expressions, Division Expressions and Equations, Point-Slope Form, Slope-Intercept Form, Standard Form, Slope, Applications of Linear Functions, Quadratic Equations and Functions, Data Analysis, Multiplication Expressions and Equations, Solving One-Step Equations, Quadratic Formula, Numerical Expressions, Variable Expressions and Solving Two-Step Equations
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
Math in the News Collection: Applications of Data Analysis	Overview This is a collection of Math in the News stories that focus on the topic of Data Analysis.	Data Analysis, Data Gathering, Probability, Percents and Ratios and Rates
Interactive Media Collection: Point-Slope Form	Overview This collection aggregates all the math videos and other resources on the topic of the Point-Slope Form. There are seven resources.	Point-Slope Form, Slope-Intercept Form, Calculus Vocabulary, Applications of Linear Functions and Graphs of Linear Functions
Interactive Media Collection: Linear Equations in Standards Form	Overview This collection aggregates all the math videos and other resources on the topic of Linear Equations in Standard Form. here are seven resources.	Standard Form
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 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 Topic Equations	Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
Algebra Nspirations Teacher's Guide: Quadratic Functions	Algebra Nspirations Teacher's Guide: Quadratic Functions This is the Teacher's Guide that accompanies Algebra Nspirations: Quadratic Functions. 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 Quadratic Functions
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 Topic Inequalities	Applications of Equations and Inequalities and Inequalities
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 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 Topic Systems of Equations	Applications of Linear Systems and Solving Systems of Equations
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, 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, 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 Topic Equations	Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
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, 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, 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 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, 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, 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 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