Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Linear Equations and Linear Systems

Lesson 16: Solving Problems with Systems of Equations

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Collection Linear Functions and Equations Collection: Math Examples I This collection of detailed math examples focuses on a number of topics, including Linear Functions in Tabular and Graph Form and the Equation of a Line Given Two Points. Graphs of Linear Functions, Point-Slope Form and Slope-Intercept Form
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
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: 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
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: Promethean Flipcharts Here is a collection of Promethean Flipcharts around the topic of Systems of Equations. 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: 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: Quizlet Flash Cards Here is a collection of Quizlet Flash Card sets around the topic of Systems of Equations. Solving Systems of Equations
Collection Linear Functions and Equations Collection: Instructional Resources A collection of PowerPoint presentations on various topics in Linear Equations and Functions. Slope-Intercept Form, Standard Form, Point-Slope Form, Graphs of Linear Functions and Applications of Linear Functions
Math Examples Math Examples Collection: Linear Functions in Tabular and Graph Form

Overview

This collection of 21 math examples focuses on Linear Functions in Tabular and Graph Form. The examples are designed to help students develop a comprehensive understanding of linear functions through visual representations and practical applications.

 Graphs of Linear Functions
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
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 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
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
Variables Collection Math Definitions Collection: Variables and Unknowns

Overview

This collection aggregates all the definition image cards around the topic of Variables and Unknowns terms and vocabulary. There are a total of 20 terms. This collection of resources is made up of downloadable PNG files that you can easily incorporate into a presentation.

 

 

 

 Variables and Unknowns
Math in the News 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
Math in the News Math in the News Collection: Business Math

Overview

This is a collection of issues of Math in the News that deal with business applications.

 

 

  		Applications of Exponential and Logarithmic Functions, Data Analysis and Volume
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 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
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 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: 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
Definition--Systems Concepts--Graphical Solutions to Linear Systems Definition--Systems Concepts--Graphical Solutions to Linear Systems Definition--Systems Concepts--Graphical Solutions to 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.

 Solving Systems of Equations
Definition--Systems Concepts--Linear System Definition--Systems Concepts--Linear System Definition--Systems Concepts--Linear System

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.

 Solving Systems of Equations
Definition--Systems Concepts--Non-Linear Systems Definition--Systems Concepts--Non-Linear Systems Definition--Systems Concepts--Non-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.

 Solving Systems of Equations
Definition--Systems Concepts--Solving a Linear System Using Elimination Definition--Systems Concepts--Solving a Linear System Using Elimination Definition--Systems Concepts--Solving a Linear System Using Elimination

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.

 Solving Systems of Equations
Definition--Systems Concepts--Solving a Linear System Using Matrices Definition--Systems Concepts--Solving a Linear System Using Matrices Definition--Systems Concepts--Solving a Linear System Using Matrices

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.

 Solving Systems of Equations
Definition--Systems Concepts--Solving a Linear System Using Substitution Definition--Systems Concepts--Solving a Linear System Using Substitution Definition--Systems Concepts--Solving a Linear System Using Substitution

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.

 Solving Systems of Equations
Definition--Variables, Unknowns, and Constants--Algebraic Expression Definition--Variables, Unknowns, and Constants--Algebraic Expression Definition--Variables, Unknowns, and Constants--Algebraic Expression

This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties.

 Variables and Unknowns
Definition--Variables, Unknowns, and Constants--Assigning Values to Variables Definition--Variables, Unknowns, and Constants--Assigning Values to Variables Definition--Variables, Unknowns, and Constants--Assigning Values to Variables

This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties.

 Variables and Unknowns
Definition--Variables, Unknowns, and Constants--Coefficient Definition--Variables, Unknowns, and Constants--Coefficient What Is a Coefficient?

This is part of a series of definitions that focus on constants, variables, and coefficients. These definition cards can easily be incorporated into a lesson plan.

—PRESS PREVIEW TO SEE THE DEFINITION— To see the complete collection of definitions on this topic, click on this link.

The following section provides a brief review of number properties that are helpful in working with numerical and variable expressions.

 Variables and Unknowns
Definition--Variables, Unknowns, and Constants--Constant Definition--Variables, Unknowns, and Constants--Constant Definition--Variables, Unknowns, and Constants--Constant

This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties.

 Variables and Unknowns
Definition--Variables, Unknowns, and Constants--Constant of Proportionality Definition--Variables, Unknowns, and Constants--Constant of Proportionality Definition--Variables, Unknowns, and Constants--Constant of Proportionality

This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties.

 Variables and Unknowns
Definition--Variables, Unknowns, and Constants--Constant of Variation Definition--Variables, Unknowns, and Constants--Constant of Variation Definition--Variables, Unknowns, and Constants--Constant of Variation

This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties.

 Variables and Unknowns
Definition--Variables, Unknowns, and Constants--Constant Term Definition--Variables, Unknowns, and Constants--Constant Term Definition--Variables, Unknowns, and Constants--Constant Term

This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties.

 Variables and Unknowns
Definition--Variables, Unknowns, and Constants--Evaluating an Algebraic Expression Definition--Variables, Unknowns, and Constants--Evaluating an Algebraic Expression Definition--Variables, Unknowns, and Constants--Evaluating an Algebraic Expression

This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties.

 Variables and Unknowns
Definition--Variables, Unknowns, and Constants--Models for Numbers Definition--Variables, Unknowns, and Constants--Models for Numbers Definition--Variables, Unknowns, and Constants--Models for Numbers

This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties.

 Variables and Unknowns
Definition--Variables, Unknowns, and Constants--Models for Variables Definition--Variables, Unknowns, and Constants--Models for Variables Definition--Variables, Unknowns, and Constants--Models for Variables

This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties.

 Variables and Unknowns
Definition--Variables, Unknowns, and Constants--Numerical Expression Definition--Variables, Unknowns, and Constants--Numerical Expression Definition--Variables, Unknowns, and Constants--Numerical Expression

This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties.

 Variables and Unknowns
Definition--Variables, Unknowns, and Constants--Parameter Definition--Variables, Unknowns, and Constants--Parameter Definition--Variables, Unknowns, and Constants--Parameter

This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties.

 Variables and Unknowns
Definition--Variables, Unknowns, and Constants--Random Variable Definition--Variables, Unknowns, and Constants--Random Variable Definition--Variables, Unknowns, and Constants--Random Variable

This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties.

 Variables and Unknowns
Definition--Variables, Unknowns, and Constants--Range of a Variable Definition--Variables, Unknowns, and Constants--Range of a Variable Definition--Variables, Unknowns, and Constants--Range of a Variable

This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties.

 Variables and Unknowns
Definition--Variables, Unknowns, and Constants--Solving for the Unknown Definition--Variables, Unknowns, and Constants--Solving for the Unknown Definition--Variables, Unknowns, and Constants--Solving for the Unknown

This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties.

 Variables and Unknowns
Definition--Variables, Unknowns, and Constants--Special Constants Definition--Variables, Unknowns, and Constants--Special Constants Definition--Variables, Unknowns, and Constants--Special Constants

This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties.

 Variables and Unknowns