Illustrative Math Alignment: Grade 8 Unit 3

Linear Equations and Linear Systems

Lesson 9: When Are They the Same?

Use the following Media4Math resources with this Illustrative Math lesson.

Title	Body	Curriculum Topic
VIDEO: Algebra Applications: Variables and Equations, 1	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
VIDEO: Algebra Applications: Variables and Equations, 2	VIDEO: Algebra Applications: Variables and Equations, 2 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 and Variable Expressions
VIDEO: Algebra Applications: Variables and Equations, 3	VIDEO: Algebra Applications: Variables and Equations, 3 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, Variable Expressions and Applications of Ratios, Proportions, and Percents
VIDEO: Algebra Nspirations: Inequalities, 1	VIDEO: Algebra Nspirations: Inequalities, 1 Topic Inequalities Description This video introduces inequalities, contrasting them with equations, and discusses their properties and solution methods. Key concepts include graphing solutions, interval notation, and inequality symbols. Applications are contextualized through scenarios like semester grades and fitness ranges. Key terms include inequality, interval notation, and solution set.	Applications of Equations and Inequalities and Inequalities
VIDEO: Algebra Nspirations: Inequalities, 2	VIDEO: Algebra Nspirations: Inequalities, 2 Topic Inequalities Description In this Math Lab explore compound inequalities on a number line. This video highlights key concepts in inequalities, offering practical examples that make abstract math principles more accessible. Through a comprehensive approach, students can connect theoretical knowledge to real-world applications. Relevance: This video directly supports the topic by illustrating inequalities in a clear and engaging way, making it easier for students to understand complex ideas.	Applications of Equations and Inequalities and Inequalities
VIDEO: Algebra Nspirations: Inequalities, 3	VIDEO: Algebra Nspirations: Inequalities, 3 Topic Inequalities Description Building on Part 1, this video explores systems of inequalities and their geometric representations. Applications include business profit modeling using linear inequalities. Key vocabulary includes half-planes, slope-intercept form, and solution regions. Real-world examples, like yoga studio budgeting, highlight practical uses of inequalities.	Applications of Equations and Inequalities and Inequalities
VIDEO: Algebra Nspirations: Inequalities, 4	VIDEO: Algebra Nspirations: Inequalities, 4 Topic Inequalities Description In this Math Lab explore graphical solutions to linear inequalities. This video highlights key concepts in inequalities, offering practical examples that make abstract math principles more accessible. Through a comprehensive approach, students can connect theoretical knowledge to real-world applications. Relevance: This video directly supports the topic by illustrating inequalities in a clear and engaging way, making it easier for students to understand complex ideas.	Applications of Equations and Inequalities and Inequalities
VIDEO: Algebra Nspirations: Solving Systems of Equations, 1	VIDEO: Algebra Nspirations: Solving Systems of Equations, 1 Topic Systems of Equations Description This video introduces systems of equations, solving them graphically, numerically, and with TI-Nspire. Key topics include slope-intercept and standard forms, intersections of lines, and linear systems applications. Examples range from rental car cost comparisons to cell phone plans. The video emphasizes efficient problem-solving methods and practical interpretation of solutions.	Applications of Linear Systems and Solving Systems of Equations
VIDEO: Algebra Nspirations: Solving Systems of Equations, 2	VIDEO: Algebra Nspirations: Solving Systems of Equations, 2 Topic Systems of Equations Description In this Math Lab explore profit and loss graphs of linear functions. In this video, students will explore the core principles of Systems of Equations, developing skills to solve real-world problems effectively. The video includes demonstrations and examples to connect mathematics to everyday life.	Applications of Linear Systems and Solving Systems of Equations
VIDEO: Algebra Nspirations: Solving Systems of Equations, 3	VIDEO: Algebra Nspirations: Solving Systems of Equations, 3 Topic Systems of Equations Description The focus is on advanced methods for solving systems of equations, including nSolve and matrix row reduction (RREF). Practical examples such as ticket sales for a school play are used. Key vocabulary includes augmented matrix, consistency, and dependent systems. Applications extend to real-world decision-making and deeper algebraic understanding.	Applications of Linear Systems and Solving Systems of Equations
VIDEO: Algebra Nspirations: Solving Systems of Equations, 4	VIDEO: Algebra Nspirations: Solving Systems of Equations, 4 Topic Systems of Equations Description In this Math Lab explore non-linear systems. In this video, students will explore the core principles of Systems of Equations, developing skills to solve real-world problems effectively. The video includes demonstrations and examples to connect mathematics to everyday life.	Applications of Linear Systems and Solving Systems of Equations
VIDEO: Algebra Nspirations: Variables and Equations, 1	VIDEO: Algebra Nspirations: Variables and Equations, 1 Topic Equations Description This video covers the historical evolution of equations, the role of variables, constants, and parameters, and introduces linear and quadratic equations. Key vocabulary includes symbolic algebra, parameter, variable, and constants. Real-world applications are introduced through general problem-solving using linear equations, like solving for unknowns in financial contexts.	Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
VIDEO: Algebra Nspirations: Variables and Equations, 2	VIDEO: Algebra Nspirations: Variables and Equations, 2 Topic Equations Description In this Math Lab explore the linear relationship between the circumference and diameter of a circle. Relevance to the Topic: This video is a valuable resource for understanding the topic of Equations. It connects theoretical concepts with practical applications, offering insights that make learning engaging and relatable.	Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
VIDEO: Algebra Nspirations: Variables and Equations, 3	VIDEO: Algebra Nspirations: Variables and Equations, 3 Topic Equations Description Expanding on Part 1, this video demonstrates solving linear equations algebraically and dynamically using TI-Nspire technology. Applications include walk-a-thons and bike-a-thons, illustrating linear relationships in practical contexts. Key vocabulary includes linear equation, function, and symbolic representation.	Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
VIDEO: Algebra Nspirations: Variables and Equations, 4	VIDEO: Algebra Nspirations: Variables and Equations, 4 Topic Equations Description In this Math Lab, use a visual model to find the square of a binomial. Relevance to the Topic: This video is a valuable resource for understanding the topic of Equations. It connects theoretical concepts with practical applications, offering insights that make learning engaging and relatable.	Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
VIDEO: Ti-Nspire Mini-Tutorial, Video 32	VIDEO: TI-Nspire Mini-Tutorial: (CAS) Solving a System of Two Linear 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.	Solving Systems of Equations
Worksheet: Bingo Cards: Algebra Bingo Set	Worksheet: Bingo Cards: Algebra Bingo Set This is part of a collection of bingo cards that can be used to review addition skills. "B" has addition facts from 0 to 15. "I" has addition facts from 16 to 30. "N" has addition facts from 31 to 45. "G" has addition facts from 46 to 60. "O" has addition facts from 61 to 75. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Addition Facts to 10, Addition Facts to 100 and Addition Facts to 25
Worksheet: Modeling Equations	Worksheet: Modeling Equations Given a visual model, students write the corresponding addition equation. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Addition Expressions and Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 1	Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 1 This is part of a collection of math worksheets on the topic of solving one-step equations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 10	Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 10 This is part of a collection of math worksheets on the topic of solving one-step equations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 11	Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 11 This is part of a collection of math worksheets on the topic of solving one-step equations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 12	Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 12 This is part of a collection of math worksheets on the topic of solving one-step equations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 13	Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 13 This is part of a collection of math worksheets on the topic of solving one-step equations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 14	Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 14 This is part of a collection of math worksheets on the topic of solving one-step equations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 15	Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 15 This is part of a collection of math worksheets on the topic of solving one-step equations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 16	Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 16 This is part of a collection of math worksheets on the topic of solving one-step equations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 17	Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 17 This is part of a collection of math worksheets on the topic of solving one-step equations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 18	Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 18 This is part of a collection of math worksheets on the topic of solving one-step equations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 19	Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 19 This is part of a collection of math worksheets on the topic of solving one-step equations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 2	Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 2 This is part of a collection of math worksheets on the topic of solving one-step equations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 20	Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 20 This is part of a collection of math worksheets on the topic of solving one-step equations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 3	Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 3 This is part of a collection of math worksheets on the topic of solving one-step equations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 4	Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 4 This is part of a collection of math worksheets on the topic of solving one-step equations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 5	Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 5 This is part of a collection of math worksheets on the topic of solving one-step equations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 6	Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 6 This is part of a collection of math worksheets on the topic of solving one-step equations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 7	Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 7 This is part of a collection of math worksheets on the topic of solving one-step equations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 8	Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 8 This is part of a collection of math worksheets on the topic of solving one-step equations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 9	Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 9 This is part of a collection of math worksheets on the topic of solving one-step equations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 20 Set 1	How to Solve One Step Equations Without Negative Numbers Struggling with one step equations that don't include negative numbers? If so, this worksheet has you covered! With step-by-step instructions on the process, you'll be able to solve these equations in no time. Check it out! This is part of a collection of math worksheets on the topic of solving one-step equations.	Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 20 Set 10	Worksheet: One-Step Equations with Solutions In the Range 0 To 20 Set 10 This is part of a collection of math worksheets on the topic of solving one-step equations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Solving One-Step Equations

Illustrative Math Alignment: Grade 8 Unit 3

Linear Equations and Linear Systems

Lesson 9: When Are They the Same?

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