Use the following Media4Math resources with this Illustrative Math lesson.
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Video Transcript: Algebra Nspirations: Linear Functions, 2 | Video Transcript: Algebra Nspirations: Linear Functions, Part 2
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. This is part of a collection of video transcript from the Algebra Nspirations video series. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript LibraryTo see the complete collection of video transcriptsy, click on this link. |
Applications of Linear Functions and Graphs of Linear Functions | |
Video Transcript: Algebra Nspirations: Variables and Equations | Video Transcript: Algebra Nspirations: Variables and Equations
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. |
Applications of Equations and Inequalities | |
Video Transcript: Linear Functions: Negative Slope, Negative y-Intercept | Video Transcript: Linear Functions: Negative Slope, Negative y-Intercept
This is the transcript that goes with the video segment entitled Video: Linear Functions: Negative Slope, Negative y-Intercept. This is part of a collection of video transcripts for the video tutorial series on Linear Functions. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript LibraryTo see the complete collection of video transcriptsy, click on this link. |
Graphs of Linear Functions | |
Video Transcript: Linear Functions: Negative Slope, Positive y-Intercept | Video Transcript: Linear Functions: Negative Slope, Positive y-Intercept
This is the transcript that goes with the video segment entitled Video: Linear Functions: Negative Slope, Positive y-Intercept. This is part of a collection of video transcripts for the video tutorial series on Linear Functions. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript LibraryTo see the complete collection of video transcriptsy, click on this link. |
Graphs of Linear Functions | |
Video Transcript: Linear Functions: Negative Slope, Zero y-Intercept | Video Transcript: Linear Functions: Negative Slope, Zero y-Intercept
This is the transcript that goes with the video segment entitled Video: Linear Functions: Negative Slope, Zero y-Intercept. This is part of a collection of video transcripts for the video tutorial series on Linear Functions. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript LibraryTo see the complete collection of video transcriptsy, click on this link. |
Graphs of Linear Functions | |
Video Transcript: Linear Functions: Positive Slope, Negative y-Intercept | Video Transcript: Linear Functions: Positive Slope, Negative y-Intercept
This is the transcript that goes with the video segment entitled Video: Linear Functions: Positive Slope, Negative y-Intercept. This is part of a collection of video transcripts for the video tutorial series on Linear Functions. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript LibraryTo see the complete collection of video transcriptsy, click on this link. |
Graphs of Linear Functions | |
Video Transcript: Linear Functions: Positive Slope, Positive y-Intercept | Video Transcript: Linear Functions: Positive Slope, Positive y-Intercept
This is the transcript that goes with the video segment entitled Video: Linear Functions: Positive Slope, Positive y-Intercept. This is part of a collection of video transcripts for the video tutorial series on Linear Functions. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript LibraryTo see the complete collection of video transcriptsy, click on this link. |
Graphs of Linear Functions | |
Video Transcript: Linear Functions: Positive Slope, Zero y-Intercept | Video Transcript: Linear Functions: Positive Slope, Zero y-Intercept
This is the transcript that goes with the video segment entitled Video: Linear Functions: Positive Slope, Zero y-Intercept. This is part of a collection of video transcripts for the video tutorial series on Linear Functions. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript LibraryTo see the complete collection of video transcriptsy, click on this link. |
Graphs of Linear Functions | |
Video Tutorial: Direct Variation | Video Tutorial: Direct Variation
Learn the basics of direct variations. Graphical and algebraic representations of direct variations are shown, as well as examples of such functions. |
Slope-Intercept Form | |
Video Tutorial: Linear Functions, Video 1 | Video Tutorial: Linear Functions, Video 1
TopicLinear Functions DescriptionThe video covers linear functions with positive slope and positive y-intercept. It explains the slope-intercept form y = mx + b, where m is the slope indicating steepness, calculated as rise over run, and b is the y-intercept, the y-value at the point where the line intersects the y-axis. For this function, the slope is 2, and the y-intercept is 2. The graph is demonstrated by moving up two units and one to the right, confirming the slope. The y-intercept at point (0, 2) is also identified. |
Graphs of Linear Functions | |
Video Tutorial: Linear Functions, Video 2 | Video Tutorial: Linear Functions, Video 2
TopicLinear Functions DescriptionThis video discusses linear functions with positive slope and negative y-intercept. It reviews the slope-intercept form y = mx + b. The slope measures steepness as the ratio of rise to run, and the y-intercept is the point where the line meets the y-axis. Here, the slope is 2, and the y-intercept is -3, evidenced by the graph where the line starts at (0, -3) and rises two units for every unit right. |
Graphs of Linear Functions | |
Video Tutorial: Linear Functions, Video 3 | Video Tutorial: Linear Functions, Video 3
TopicLinear Functions DescriptionThe video explains linear functions with a positive slope and zero y-intercept. In slope-intercept form y = mx + b, the slope, m, represents the steepness, while the y-intercept, b, is zero. The slope of 2 is confirmed by graphing: moving up two units and one to the right. The line passes through the origin, demonstrating a y-intercept of 0. |
Graphs of Linear Functions | |
Video Tutorial: Linear Functions, Video 4 | Video Tutorial: Linear Functions, Video 4
TopicLinear Functions DescriptionThis video focuses on linear functions with a negative slope and positive y-intercept. Using the slope-intercept form y = mx + b, the slope of -3 indicates a downward slope, and the y-intercept of 2 is the point (0, 2). Graphically, moving down three units and one unit to the left confirms the slope of -3. |
Graphs of Linear Functions | |
Video Tutorial: Linear Functions, Video 5 | Video Tutorial: Linear Functions, Video 5
TopicLinear Functions DescriptionThe video covers linear functions with a negative slope and negative y-intercept. It explains the slope-intercept form y = mx + b, with a slope of -3 and a y-intercept of -2 at (0, -2). The graph shows a downward slope with three units down and one unit left, confirming the slope. |
Graphs of Linear Functions | |
Video Tutorial: Linear Functions, Video 6 | Video Tutorial: Linear Functions, Video 6
TopicLinear Functions DescriptionThis video addresses linear functions with a negative slope and zero y-intercept. In slope-intercept form y = mx + b, the slope is -3, indicating a downward trend. The line passes through the origin, confirming the zero y-intercept, and graphing demonstrates the negative slope. |
Graphs of Linear Functions | |
Video Tutorial: The Point-Slope Form: Example 1 | 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. |
Point-Slope Form | |
Video Tutorial: The Point-Slope Form: Example 2 | 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. |
Point-Slope Form | |
Video Tutorial: The Point-Slope Form: Example 3 | 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. |
Point-Slope Form | |
Video Tutorial: The Point-Slope Form: Example 4 | 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. |
Point-Slope Form | |
VIDEO: Algebra Applications: Linear Functions, Segment 2: Cycling | VIDEO: Algebra Applications: Linear Functions, Segment 2: Cycling
TopicLinear Functions DescriptionApplies 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. |
Special Functions and Applications of Linear Functions | |
VIDEO: Algebra Applications: Linear Functions | VIDEO: Algebra Applications: Linear Functions
TopicLinear Functions |
Special Functions and Applications of Linear Functions | |
VIDEO: Algebra Applications: Linear Functions, 1 | VIDEO: Algebra Applications: Linear Functions, 1
TopicLinear Functions DescriptionIntroduces 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. |
Special Functions and Applications of Linear Functions | |
VIDEO: Algebra Applications: Linear Functions, 3 | VIDEO: Algebra Applications: Linear Functions, 3
TopicLinear Functions DescriptionUses 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. |
Special Functions and Applications of Linear Functions | |
VIDEO: Algebra Applications: Linear Functions, 4 | VIDEO: Algebra Applications: Linear Functions, 4
TopicLinear Functions DescriptionModels 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. |
Special Functions and Applications of Linear Functions | |
VIDEO: Algebra Nspirations: Functions and Relations, 1 | VIDEO: Algebra Nspirations: Functions and Relations, 1
TopicFunctions and Relations DescriptionThis section defines relations and functions, emphasizing domain, range, and dependent versus independent variables. Using examples like USB flash drive pricing, it illustrates tabular, graphical, and mapping representations. Key concepts include ordered pairs, Cartesian plane, and scatter plots. The TI-Nspire is utilized to model relationships and introduce functional analysis. |
Applications of Functions and Relations and Relations and Functions | |
VIDEO: Algebra Nspirations: Functions and Relations, 2 | VIDEO: Algebra Nspirations: Functions and Relations, 2
TopicFunctions and Relations DescriptionIn this Math Lab explore domain-to-range mappings for functions and relations. Relevance to the Topic: This video is an essential resource for understanding Functions and Relations. By exploring the concepts and examples in this video, students will gain insights into the practical applications and theoretical underpinnings of Functions and Relations. It builds a strong foundation for future learning. |
Applications of Functions and Relations, Conic Sections and Relations and Functions | |
VIDEO: Algebra Nspirations: Functions and Relations, 3 | VIDEO: Algebra Nspirations: Functions and Relations, 3
TopicFunctions and Relations DescriptionBuilding on the prior section, this video elaborates on function rules and notation, graphing diverse functions such as linear, quadratic, and step functions. Key terms include domain, range, and vertical line test. Applications highlight real-world uses like analyzing study hours and grades. Technology aids in demonstrating increasing and decreasing functions visually. |
Applications of Functions and Relations, Relations and Functions and Geometric Constructions with Circles | |
VIDEO: Algebra Nspirations: Functions and Relations, 4 | VIDEO: Algebra Nspirations: Functions and Relations, 4
TopicFunctions and Relations DescriptionIn this Math Lab use toothpicks to create unit squares and square arrays. Explore the functional relationship between length of the side of the square and the total number of toothpicks. |
Applications of Functions and Relations, Conic Sections and Relations and Functions | |
VIDEO: Algebra Nspirations: Linear Functions, 1 | VIDEO: Algebra Nspirations: Linear Functions, 1
TopicLinear Functions DescriptionThis video explores linear functions, emphasizing their applications in motion contexts like airplane altitude. Key topics include slope, y-intercept, and function representation using tools like the TI-Nspire. Vocabulary includes linear function, slope-intercept form, and dependent variable. Applications include predicting motion scenarios. |
Applications of Linear Functions | |
VIDEO: Algebra Nspirations: Linear Functions, 2 | VIDEO: Algebra Nspirations: Linear Functions, 2
TopicLinear Functions DescriptionIn this Math Lab explore the slopes of staircases. Compare the slope of a staircase when walking it in a straight path and compare it to the slope of a staircase walked in a staggered path. In this video, students explore the mathematical concept of linear functions, gaining a deeper understanding of its applications. The video emphasizes how this concept helps in problem-solving and real-world scenarios, bridging the gap between abstract mathematics and practical application. |
Applications of Linear Functions | |
VIDEO: Algebra Nspirations: Linear Functions, 3 | VIDEO: Algebra Nspirations: Linear Functions, 3
TopicLinear Functions DescriptionThis video applies linear functions to environmental data analysis, predicting carbon dioxide levels using regression models. Key terms include regression, scatter plot, and slope. Applications highlight global warming trends and their impact using predictive analytics. |
Applications of Linear Functions | |
VIDEO: Algebra Nspirations: Linear Functions, 4 | VIDEO: Algebra Nspirations: Linear Functions, 4
TopicLinear Functions DescriptionIn this Math Lab explore water pressure by comparing the height of a column of water and the length of the corresponding jet of water. In this video, students explore the mathematical concept of linear functions, gaining a deeper understanding of its applications. The video emphasizes how this concept helps in problem-solving and real-world scenarios, bridging the gap between abstract mathematics and practical application. |
Applications of Linear Functions | |
VIDEO: Ti-Nspire Mini-Tutorial, Video 14 | VIDEO: TI-Nspire CX Mini-Tutorial: Parallel and Perpendicular Lines
In this TI-Nspire CX tutorial explore the properties of parallel and perpendicular lines. Use a slider to define the slope and then graph parallel and perpendicular lines linked to this slider. Note: This video does not contain audio. |
Parallel Lines and Perpendicular Lines | |
VIDEO: Ti-Nspire Mini-Tutorial, Video 68 | VIDEO: TI-Nspire Mini-Tutorial: Exploring the Slope-Intercept form Using Sliders
In this TI Nspire tutorial, the Graph window is used to create a slider-based graph of a linear function in slope-intercept form. This video supports the TI-Nspire Clickpad and Touchpad. |
Slope-Intercept Form | |
VIDEO: Ti-Nspire Mini-Tutorial, Video 77 | VIDEO: TI-Nspire Mini-Tutorial: Graphing a Linear Function
In this TI Nspire tutorial, the Graph window is used to graph a linear function. This video supports the TI-Nspire Clickpad and Touchpad. |
Graphs of Linear Functions | |
VIDEO: Ti-Nspire Mini-Tutorial, Video 79 | VIDEO: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality Using Sliders
In this TI Nspire tutorial, the Graph window is used to graph a linear inequality in slope-intercept form using sliders. This video supports the TI-Nspire Clickpad and Touchpad. |
Inequalities | |
VIDEO: Ti-Nspire Mini-Tutorial, Video 9 | VIDEO: TI-Nspire CX Mini-Tutorial: Graphs of Linear Functions
In this Nspire CX tutorial linear functions are graphed. |
Graphs of Linear Functions | |
Worksheet: Crossword Puzzle--Linear Functions | Worksheet: Crossword Puzzle--Linear Functions
This is part of a collection of math worksheets that are crossword puzzles of math vocabulary. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Graphs of Linear Functions | |
Worksheet: Crossword Puzzle--Parallel and Perpendicular Lines | Worksheet: Crossword Puzzle--Parallel and Perpendicular Lines
This is part of a collection of math worksheets that are crossword puzzles of math vocabulary. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Parallel Lines and Perpendicular Lines | |
Worksheet: Crossword Puzzle--Slope Intercept Form | Worksheet | Crossword Puzzle | Slope-Intercept Form
This is part of a collection of math worksheets that are crossword puzzles of math vocabulary. —CLICK PREVIEW TO SEE THE PUZZLE— To see the complete collection of crossword puzzles, click on this link.The following section provides background on functions and linear functions. |
Slope-Intercept Form | |
Worksheet: Evaluating Linear Functions, Set 1 | Evaluating Linear Functions
This is part of a collection of math worksheets on the topic of evaluating linear functions. —CLICK PREVIEW TO SEE THE WORKSHEET— To see the complete collection of worksheets on this topic, click on this link.The following section provides a review of linear functions. You may want to read through it and watch the companion video before completing the worksheet. Brief Review of FunctionsBefore diving into the topic of linear functions, let's review the following topics, which pertain to all functions.: Definition of a function Independent variable |
Applications of Linear Functions | |
Worksheet: Evaluating Linear Functions, Set 10 | Worksheet: Evaluating Linear Functions, Set 10
This is part of a collection of math worksheets on the topic of evaluating linear functions. —CLICK PREVIEW TO SEE THE WORKSHEET— To see the complete collection of worksheets on this topic, click on this link.The following section provides a review of linear functions. You may want to read through it and watch the companion video before completing the worksheet. Brief Review of FunctionsBefore diving into the topic of linear functions, let's review the following topics, which pertain to all functions.: Definition of a function Independent variable |
Applications of Linear Functions | |
Worksheet: Evaluating Linear Functions, Set 11 | Worksheet: Evaluating Linear Functions, Set 11
This is part of a collection of math worksheets on the topic of evaluating linear functions. —CLICK PREVIEW TO SEE THE WORKSHEET— To see the complete collection of worksheets on this topic, click on this link.The following section provides a review of linear functions. You may want to read through it and watch the companion video before completing the worksheet. Brief Review of FunctionsBefore diving into the topic of linear functions, let's review the following topics, which pertain to all functions.: Definition of a function Independent variable |
Applications of Linear Functions | |
Worksheet: Evaluating Linear Functions, Set 12 | Worksheet: Evaluating Linear Functions, Set 12
This is part of a collection of math worksheets on the topic of evaluating linear functions. —CLICK PREVIEW TO SEE THE WORKSHEET— To see the complete collection of worksheets on this topic, click on this link.The following section provides a review of linear functions. You may want to read through it and watch the companion video before completing the worksheet. Brief Review of FunctionsBefore diving into the topic of linear functions, let's review the following topics, which pertain to all functions.: Definition of a function Independent variable |
Applications of Linear Functions | |
Worksheet: Evaluating Linear Functions, Set 13 | Worksheet: Evaluating Linear Functions, Set 13
This is part of a collection of math worksheets on the topic of evaluating linear functions. —CLICK PREVIEW TO SEE THE WORKSHEET— To see the complete collection of worksheets on this topic, click on this link.The following section provides a review of linear functions. You may want to read through it and watch the companion video before completing the worksheet. Brief Review of FunctionsBefore diving into the topic of linear functions, let's review the following topics, which pertain to all functions.: Definition of a function Independent variable |
Applications of Linear Functions | |
Worksheet: Evaluating Linear Functions, Set 14 | Worksheet: Evaluating Linear Functions, Set 14
This is part of a collection of math worksheets on the topic of evaluating linear functions. —CLICK PREVIEW TO SEE THE WORKSHEET— To see the complete collection of worksheets on this topic, click on this link.The following section provides a review of linear functions. You may want to read through it and watch the companion video before completing the worksheet. Brief Review of FunctionsBefore diving into the topic of linear functions, let's review the following topics, which pertain to all functions.: Definition of a function Independent variable |
Applications of Linear Functions | |
Worksheet: Evaluating Linear Functions, Set 15 | Worksheet: Evaluating Linear Functions, Set 15
This is part of a collection of math worksheets on the topic of evaluating linear functions. —CLICK PREVIEW TO SEE THE WORKSHEET— To see the complete collection of worksheets on this topic, click on this link.The following section provides a review of linear functions. You may want to read through it and watch the companion video before completing the worksheet. Brief Review of FunctionsBefore diving into the topic of linear functions, let's review the following topics, which pertain to all functions.: Definition of a function Independent variable |
Applications of Linear Functions | |
Worksheet: Evaluating Linear Functions, Set 16 | Worksheet: Evaluating Linear Functions, Set 16
This is part of a collection of math worksheets on the topic of evaluating linear functions. —CLICK PREVIEW TO SEE THE WORKSHEET— To see the complete collection of worksheets on this topic, click on this link.The following section provides a review of linear functions. You may want to read through it and watch the companion video before completing the worksheet. Brief Review of FunctionsBefore diving into the topic of linear functions, let's review the following topics, which pertain to all functions.: Definition of a function Independent variable |
Applications of Linear Functions | |
Worksheet: Evaluating Linear Functions, Set 17 | Worksheet: Evaluating Linear Functions, Set 17
This is part of a collection of math worksheets on the topic of evaluating linear functions. —CLICK PREVIEW TO SEE THE WORKSHEET— To see the complete collection of worksheets on this topic, click on this link.The following section provides a review of linear functions. You may want to read through it and watch the companion video before completing the worksheet. Brief Review of FunctionsBefore diving into the topic of linear functions, let's review the following topics, which pertain to all functions.: Definition of a function Independent variable |
Applications of Linear Functions | |
Worksheet: Evaluating Linear Functions, Set 18 | Worksheet: Evaluating Linear Functions, Set 18
This is part of a collection of math worksheets on the topic of evaluating linear functions. —CLICK PREVIEW TO SEE THE WORKSHEET— To see the complete collection of worksheets on this topic, click on this link.The following section provides a review of linear functions. You may want to read through it and watch the companion video before completing the worksheet. Brief Review of FunctionsBefore diving into the topic of linear functions, let's review the following topics, which pertain to all functions.: Definition of a function Independent variable |
Applications of Linear Functions |