Illustrative Math Alignment: Grade 8 Unit 3

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

This is the transcript for the video of same title. Video contents: Functions are relationships between quantities that change. Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video explores the definition of a function, its vocabulary and notations, and distinguishes the concept of function from a general relation. Multiple representations of functions are provided using the TI-Nspire, while dynamic visuals and scenarios put them into real-world contexts. Concepts explored: functions, relations, equations, quadratic functions, linear functions, multiple representations

This is the transcript for the video of same title. Video contents: In this Investigation we explore the definition of a Relation.

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This is the transcript for the video of same title. Video contents: In this Investigation we look at functions.

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This is the transcript for the video of same title. Video contents: In this program, internationally acclaimed mathematics educator Dr. Monica Neagoy, explores the nature of linear functions through the use TI graphing calculators. Examples ranging from air travel, construction, engineering, and space travel provide real-world examples for discovering algebraic concepts. All examples are solved algebraically and then reinforced through the use of the TI-Nspire. Algebra teachers looking to integrate hand-held technology and visual media into their instruction will benefit greatly from this series. Concepts explored: Standard form, slope-intercept form, point-slope form, solving linear equations

This is the transcript for the video of same title. Video contents: In this Investigation we look at linear models for objects moving at a constant speed.

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This is the transcript for the video of same title. Video contents: In this Investigation we look at a linear regression for carbon dioxide emission data.

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This is the transcript for the video of same title. Video contents: 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.

This is the transcript that goes with the video segment entitled Video: Linear Functions: Negative Slope, Negative y-Intercept.

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This is the transcript that goes with the video segment entitled Video: Linear Functions: Negative Slope, Positive y-Intercept.

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This is the transcript that goes with the video segment entitled Video: Linear Functions: Negative Slope, Zero y-Intercept.

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This is the transcript that goes with the video segment entitled Video: Linear Functions: Positive Slope, Negative y-Intercept.

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

This is the transcript that goes with the video segment entitled Video: Linear Functions: Positive Slope, Positive y-Intercept.

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

This is the transcript that goes with the video segment entitled Video: Linear Functions: Positive Slope, Zero y-Intercept.

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

This YouTube video describes the relationship between the number of cricket chirps and outside temperature. This is an application of linear functions of the form y = mx + b.

Learn the basics of direct variations. Graphical and algebraic representations of direct variations are shown, as well as examples of such functions.

This YouTube video describes Hooke's Law, which is an application of linear functions of the form y = kx.

This video looks at the identity function. Students review the identity properties of addition and multiplication as a means of better understanding the identity function.

This is part of a collection of video tutorials on the topic of Linear Functions in Slope-Intercept Form.

This is part of a collection of video tutorials on the topic of Linear Functions in Slope-Intercept Form.

This is part of a collection of video tutorials on the topic of Linear Functions in Slope-Intercept Form.

This is part of a collection of video tutorials on the topic of Linear Functions in Slope-Intercept Form.

This is part of a collection of video tutorials on the topic of Linear Functions in Slope-Intercept Form.

This is part of a collection of video tutorials on the topic of Linear Functions in Slope-Intercept Form.

This video looks at multiple representations of functions, including symbolic, tabular, and graphic. Examples of linear, quadratic, polynomial, and exponential functions are shown.

This is part of a collection of video tutorials on using the point-slope form to find the equation of a line that passes through a given point. Each video is a step-by-step tutorial.

Note: The download is a PDF template for use in modeling the examples shown in the videos.

This is part of a collection of video tutorials on using the point-slope form to find the equation of a line that passes through a given point. Each video is a step-by-step tutorial.

Note: The download is a PDF template for use in modeling the examples shown in the videos.

This is part of a collection of video tutorials on using the point-slope form to find the equation of a line that passes through a given point. Each video is a step-by-step tutorial.

Note: The download is a PDF template for use in modeling the examples shown in the videos.

This is part of a collection of video tutorials on using the point-slope form to find the equation of a line that passes through a given point. Each video is a step-by-step tutorial.

Note: The download is a PDF template for use in modeling the examples shown in the videos.

Topic

Linear Functions

Description

Applies linear functions to cycling, calculating hill grades and distances using slope formulas and graphing.

Linear functions are fundamental in understanding mathematical relationships between two variables. The video demonstrates their application in real-life scenarios, enhancing comprehension of key concepts like slope, intercepts, and graphical representation. This foundational knowledge prepares students for more advanced mathematical topics.

Topic

Linear Functions

Topic

Linear Functions

Description

Introduces linear functions with examples like staircases, explaining slope, intercepts, and applications in real-world scenarios.

Linear functions are fundamental in understanding mathematical relationships between two variables. The video demonstrates their application in real-life scenarios, enhancing comprehension of key concepts like slope, intercepts, and graphical representation. This foundational knowledge prepares students for more advanced mathematical topics.

Topic

Linear Functions

Description

Uses linear regression to analyze US oil consumption trends, projecting future usage and potential impact of Alaskan oil production.

Linear functions are fundamental in understanding mathematical relationships between two variables. The video demonstrates their application in real-life scenarios, enhancing comprehension of key concepts like slope, intercepts, and graphical representation. This foundational knowledge prepares students for more advanced mathematical topics.

Topic

Linear Functions

Description

Models maximum heart rate during aerobic exercise with linear equations, creating exercise charts for various age groups.

Linear functions are fundamental in understanding relationships where one quantity depends linearly on another. This video provides clear examples and context that make the topic relevant and engaging. Linear equations often represent real-world scenarios, from economic trends to scientific measurements, helping students relate the math to everyday life.

In this Investigation we explore the definition of a Relation. This video is Segment 1 of a 4 segment series related to Functions and Relations.

In this Math Lab we look at different mappings to define functions and relations. This video is Segment 2 of a 4 segment series related to Functions and Relations.

In this Investigation we look at functions. This video is Segment 3 of a 4 segment series related to Functions and Relations.

In this Math Lab a hands-on toothpick activity is used to generate a non-linear function. This video is Segment 4 of a 4 segment series related to Functions and Relations.

In this Investigation we look at linear models for objects moving at a constant speed. This video is Segment 1 of a 4 segment series related to Algebra Nspirations: Linear Functions.

In this Math Lab we explore slope in the context of the steepness of staircases. This video is Segment 2 of a 4 segment series related to Algebra Nspirations: Linear Functions.

In this Investigation we look at a linear regression for carbon dioxide emission data. This video is Segment 3 of a 4 segment series related to Algebra Nspirations: Linear Functions.

In this Math Lab we explore a linear model through a data-gathering activity. This video is Segment 4 of a 4 segment series related to Algebra Nspirations: Linear Functions.

In this Nspire CX tutorial absolute functions are graphed, including graphs centered at the origin, graphs displaced along the x-axis, and graphs displaced along the y-axis. Note: This video does not include audio.

In this TI-Nspire CX tutorial learn how to graph quadratic functions in standard form using sliders for the values of a, b, and c.

In this TI-Nspire CX tutorial learn how to graph quadratic functions in vertex form using sliders for the values of h and k.

In this Nspire CX tutorial linear functions in slope-intercept form are graphed using sliders. Then the inverse functions are graphed. Their symmetry about the graph of y = x is explored.