Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Linear Relationships

Lesson 5: Introduction to Linear Relationships

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
VIDEO:  Algebra Applications: Linear Functions, Segment 2: Cycling VIDEO: Algebra Applications: Linear Functions, Segment 2: Cycling VIDEO: Algebra Applications: Linear Functions, Segment 2: Cycling

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.

Special Functions and Applications of Linear Functions
VIDEO: Algebra Applications: Linear Functions VIDEO: Algebra Applications: Linear Functions VIDEO: Algebra Applications: Linear Functions

Topic

Linear Functions

Special Functions and Applications of Linear Functions
VIDEO: Algebra Applications: Linear Functions VIDEO: Algebra Applications: Linear Functions VIDEO: Algebra Applications: Linear Functions

Topic

Linear Functions

Special Functions and Applications of Linear Functions
VIDEO: Algebra Applications: Linear Functions VIDEO: Algebra Applications: Linear Functions VIDEO: Algebra Applications: Linear Functions

Topic

Linear Functions

Special Functions and Applications of Linear Functions
VIDEO: Algebra Applications: Linear Functions VIDEO: Algebra Applications: Linear Functions VIDEO: Algebra Applications: Linear Functions

Topic

Linear Functions

Special Functions and Applications of Linear Functions
VIDEO: Algebra Applications: Linear Functions VIDEO: Algebra Applications: Linear Functions VIDEO: Algebra Applications: Linear Functions

Topic

Linear Functions

Special Functions and Applications of Linear Functions
VIDEO: Algebra Applications: Linear Functions VIDEO: Algebra Applications: Linear Functions VIDEO: Algebra Applications: Linear Functions

Topic

Linear Functions

Special Functions and Applications of Linear Functions
VIDEO: Algebra Applications: Linear Functions, Segment 1: Introduction. VIDEO: Algebra Applications: Linear Functions, 1 VIDEO: Algebra Applications: Linear Functions, 1

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.

Special Functions and Applications of Linear Functions
VIDEO: Algebra Applications: Linear Functions, Segment 1: Introduction. VIDEO: Algebra Applications: Linear Functions, 1 VIDEO: Algebra Applications: Linear Functions, 1

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.

Special Functions and Applications of Linear Functions
VIDEO: Algebra Applications: Linear Functions, Segment 1: Introduction. VIDEO: Algebra Applications: Linear Functions, 1 VIDEO: Algebra Applications: Linear Functions, 1

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.

Special Functions and Applications of Linear Functions
VIDEO: Algebra Applications: Linear Functions, Segment 1: Introduction. VIDEO: Algebra Applications: Linear Functions, 1 VIDEO: Algebra Applications: Linear Functions, 1

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.

Special Functions and Applications of Linear Functions
VIDEO: Algebra Applications: Linear Functions, Segment 3: Oil Exploration. VIDEO: Algebra Applications: Linear Functions, 3 VIDEO: Algebra Applications: Linear Functions, 3

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.

Special Functions and Applications of Linear Functions
VIDEO: Algebra Applications: Linear Functions, Segment 3: Oil Exploration. VIDEO: Algebra Applications: Linear Functions, 3 VIDEO: Algebra Applications: Linear Functions, 3

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.

Special Functions and Applications of Linear Functions
VIDEO: Algebra Applications: Linear Functions, Segment 3: Oil Exploration. VIDEO: Algebra Applications: Linear Functions, 3 VIDEO: Algebra Applications: Linear Functions, 3

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.

Special Functions and Applications of Linear Functions
VIDEO: Algebra Applications: Linear Functions, Segment 3: Oil Exploration. VIDEO: Algebra Applications: Linear Functions, 3 VIDEO: Algebra Applications: Linear Functions, 3

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.

Special Functions and Applications of Linear Functions
VIDEO: Algebra Applications: Linear Functions, Segment 3: Oil Exploration. VIDEO: Algebra Applications: Linear Functions, 3 VIDEO: Algebra Applications: Linear Functions, 3

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.

Special Functions and Applications of Linear Functions
VIDEO: Algebra Applications: Linear Functions, Segment 4: Exercise. VIDEO: Algebra Applications: Linear Functions, 4 VIDEO: Algebra Applications: Linear Functions, 4

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.

Special Functions and Applications of Linear Functions
VIDEO: Algebra Applications: Linear Functions, Segment 4: Exercise. VIDEO: Algebra Applications: Linear Functions, 4 VIDEO: Algebra Applications: Linear Functions, 4

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.

Special Functions and Applications of Linear Functions
VIDEO: Algebra Applications: Linear Functions, Segment 4: Exercise. VIDEO: Algebra Applications: Linear Functions, 4 VIDEO: Algebra Applications: Linear Functions, 4

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.

Special Functions and Applications of Linear Functions
VIDEO: Algebra Nspirations: Functions and Relations, Segment 1 VIDEO: Algebra Nspirations: Functions and Relations, 1 VIDEO: Algebra Nspirations: Functions and Relations, 1

Topic

Functions and Relations

Description

This 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, Segment 1 VIDEO: Algebra Nspirations: Functions and Relations, 1 VIDEO: Algebra Nspirations: Functions and Relations, 1

Topic

Functions and Relations

Description

This 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, Segment 2 VIDEO: Algebra Nspirations: Functions and Relations, 2 VIDEO: Algebra Nspirations: Functions and Relations, 2

Topic

Functions and Relations

Description

In 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, Segment 2 VIDEO: Algebra Nspirations: Functions and Relations, 2 VIDEO: Algebra Nspirations: Functions and Relations, 2

Topic

Functions and Relations

Description

In 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, Segment 3 VIDEO: Algebra Nspirations: Functions and Relations, 3 VIDEO: Algebra Nspirations: Functions and Relations, 3

Topic

Functions and Relations

Description

Building 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, Segment 3 VIDEO: Algebra Nspirations: Functions and Relations, 3 VIDEO: Algebra Nspirations: Functions and Relations, 3

Topic

Functions and Relations

Description

Building 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, Segment 3 VIDEO: Algebra Nspirations: Functions and Relations, 3 VIDEO: Algebra Nspirations: Functions and Relations, 3

Topic

Functions and Relations

Description

Building 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, Segment 3 VIDEO: Algebra Nspirations: Functions and Relations, 3 VIDEO: Algebra Nspirations: Functions and Relations, 3

Topic

Functions and Relations

Description

Building 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, Segment 3 VIDEO: Algebra Nspirations: Functions and Relations, 3 VIDEO: Algebra Nspirations: Functions and Relations, 3

Topic

Functions and Relations

Description

Building 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, Segment 3 VIDEO: Algebra Nspirations: Functions and Relations, 3 VIDEO: Algebra Nspirations: Functions and Relations, 3

Topic

Functions and Relations

Description

Building 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, Segment 3 VIDEO: Algebra Nspirations: Functions and Relations, 3 VIDEO: Algebra Nspirations: Functions and Relations, 3

Topic

Functions and Relations

Description

Building 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, Segment 4 VIDEO: Algebra Nspirations: Functions and Relations, 4 VIDEO: Algebra Nspirations: Functions and Relations, 4

Topic

Functions and Relations

Description

In 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, Segment 1 VIDEO: Algebra Nspirations: Linear Functions, 1 VIDEO: Algebra Nspirations: Linear Functions, 1

Topic

Linear Functions

Description

This 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, Segment 2 VIDEO: Algebra Nspirations: Linear Functions, 2 VIDEO: Algebra Nspirations: Linear Functions, 2

Topic

Linear Functions

Description

In 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, Segment 3 VIDEO: Algebra Nspirations: Linear Functions, 3 VIDEO: Algebra Nspirations: Linear Functions, 3

Topic

Linear Functions

Description

This 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, Segment 4 VIDEO: Algebra Nspirations: Linear Functions, 4 VIDEO: Algebra Nspirations: Linear Functions, 4

Topic

Linear Functions

Description

In 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: Creating a Slope Formula Template VIDEO: Ti-Nspire Mini-Tutorial, Video 56 VIDEO: TI-Nspire Mini-Tutorial: Creating a Slope Formula Template

In this TI Nspire tutorial for the TI-Nspire CAS, the Calculator Window is used to create a function to calculate the slope. This video supports the TI-Nspire Clickpad and Touchpad.

Slope
VIDEO: TI-Nspire Mini-Tutorial: Creating a Slope Formula Template VIDEO: Ti-Nspire Mini-Tutorial, Video 56 VIDEO: TI-Nspire Mini-Tutorial: Creating a Slope Formula Template

In this TI Nspire tutorial for the TI-Nspire CAS, the Calculator Window is used to create a function to calculate the slope. This video supports the TI-Nspire Clickpad and Touchpad.

Slope
VIDEO: TI-Nspire Mini-Tutorial: Creating a Slope Formula Template VIDEO: Ti-Nspire Mini-Tutorial, Video 56 VIDEO: TI-Nspire Mini-Tutorial: Creating a Slope Formula Template

In this TI Nspire tutorial for the TI-Nspire CAS, the Calculator Window is used to create a function to calculate the slope. This video supports the TI-Nspire Clickpad and Touchpad.

Slope
VIDEO: TI-Nspire Mini-Tutorial: Creating a Slope Formula Template VIDEO: Ti-Nspire Mini-Tutorial, Video 56 VIDEO: TI-Nspire Mini-Tutorial: Creating a Slope Formula Template

In this TI Nspire tutorial for the TI-Nspire CAS, the Calculator Window is used to create a function to calculate the slope. This video supports the TI-Nspire Clickpad and Touchpad.

Slope
VIDEO: TI-Nspire Mini-Tutorial: Creating a Slope Formula Template VIDEO: Ti-Nspire Mini-Tutorial, Video 56 VIDEO: TI-Nspire Mini-Tutorial: Creating a Slope Formula Template

In this TI Nspire tutorial for the TI-Nspire CAS, the Calculator Window is used to create a function to calculate the slope. This video supports the TI-Nspire Clickpad and Touchpad.

Slope
VIDEO: TI-Nspire Mini-Tutorial: Exploring the Slope-Intercept form Using Sliders 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: Graphing a Linear Function 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: Graphing a Linear Inequality Using Sliders 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 CX Mini-Tutorial: Graphs of Linear Functions 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
VIDEO: TI-Nspire CX Mini-Tutorial: Graphs of Linear Functions 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
VIDEO: TI-Nspire CX Mini-Tutorial: Graphs of Linear Functions 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
WorksheetThumbnail.jpg 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 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.
Graphs of Linear Functions
WorksheetThumbnail.jpg 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
WorksheetThumbnail.jpg 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
WorksheetThumbnail.jpg 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