Use the following Media4Math resources with this Illustrative Math lesson.
Thumbnail Image | Title | Body | Curriculum Nodes |
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Closed Captioned Video: Ratios and Proportions: Scale Drawings | Closed Captioned Video: Ratios and Proportions: Scale Drawings
Video Tutorial: Ratios and Proportions: Scale Drawings. In this video, we look at the properties of similar figures and use proportions to find lengths of corresponding sides. |
Ratios and Rates | |
Definition--Linear Function Concepts--Linear Function Tables | Linear Function Tables
TopicLinear Functions DefinitionLinear function tables display the input-output pairs of a linear function, showing how the dependent variable changes with the independent variable. DescriptionLinear function tables are useful tools for understanding and analyzing linear relationships. They provide a clear way to see how changes in the input (independent variable) affect the output (dependent variable). |
Applications of Linear Functions and Graphs of Linear Functions | |
Definition--Ratios, Proportions, and Percents Concepts--Scale Drawing | Scale DrawingTopicRatios, Proportions, and Percents DefinitionA scale drawing is a representation of an object or structure with dimensions proportional to the actual object or structure. DescriptionScale drawings are essential in fields like architecture, engineering, and cartography, where accurate representations of large objects or areas are needed. For example, an architect might create a scale drawing of a building where 1 inch on the drawing represents 10 feet in reality. This allows for detailed planning and visualization without needing a full-sized model. |
Proportions | |
INSTRUCTIONAL RESOURCE: Activity Guide: Building a Scale Model of Himeji Castle | This hands-on activity is a companion to the video segment from the Geometry Applications: Angles and Planes video. In particular, it supports the segment on the architecture of Himeji Castle. Note: The download is a PDF file.Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Applications of Angles and Planes, Applications of Transformations and Proportions | |
Math Clip Art--Geometry Concepts--Scale Drawing--01 | Math Clip Art--Scale Drawing--01TopicGeometry Concepts DescriptionThis image depicts a scale drawing of a square that has been scaled up by a factor of 1:2. This means that each side of the square in the drawing is twice the length of the corresponding side in the actual object. Scale drawings are essential for accurately representing objects in a manageable size while maintaining proportionality. Teacher's Script: "Observe this scale drawing of a square. How does the 1:2 scale factor help us understand the relationship between the drawing and the actual square? What are some real-world applications of scaling up objects, such as in architecture or design?" |
Proportions | |
Math Clip Art--Geometry Concepts--Scale Drawing--02 | Math Clip Art--Scale Drawing--02TopicGeometry Concepts DescriptionThis image illustrates a scale drawing of a square that has been scaled up by a factor of 1:3. Each side of the square in the drawing is three times the length of the corresponding side in the actual object. This scaling helps in visualizing larger versions of objects while maintaining accurate proportions. Teacher's Script: "Look at this scale drawing of a square. How does the 1:3 scale factor affect the dimensions of the drawing compared to the actual square? What are some mathematical concepts you can explore using scale drawings, such as ratios or proportions?" |
Proportions | |
Math Clip Art--Geometry Concepts--Scale Drawing--03 | Math Clip Art--Scale Drawing--03TopicGeometry Concepts DescriptionThis image shows a scale drawing of a rectangle that has been scaled up by a factor of 1:4. Each side of the rectangle in the drawing is four times the length of the corresponding side in the actual object. This scaling is useful for enlarging objects while maintaining their proportional dimensions. Teacher's Script: "Examine this scale drawing of a rectangle. How does the 1:4 scale factor influence the size of the drawing compared to the actual rectangle? What are some real-world applications of scaling up objects, such as in engineering or construction?" |
Proportions | |
Math Clip Art--Geometry Concepts--Scale Drawing--04 | Math Clip Art--Scale Drawing--04TopicGeometry Concepts DescriptionThis image illustrates a scale drawing of a rectangle that has been scaled up by a factor of 1:5. Each side of the rectangle in the drawing is five times the length of the corresponding side in the actual object. Scale drawings like this are crucial for visualizing larger versions of objects while maintaining accurate proportions. Teacher's Script: "Observe this scale drawing of a rectangle. How does the 1:5 scale factor affect the dimensions of the drawing compared to the actual rectangle? What are some mathematical concepts you can explore using scale drawings, such as ratios or proportions?" |
Proportions | |
Math Clip Art--Geometry Concepts--Scale Drawing--05 | Math Clip Art--Scale Drawing--05TopicGeometry Concepts DescriptionThis image depicts a scale drawing of a right triangle that has been scaled down by a factor of 5:1. This means each side of the triangle in the drawing is one-fifth the length of the corresponding side in the actual object. Scaling down is useful for creating manageable representations of larger objects. Teacher's Script: "Examine this scale drawing of a right triangle. How does the 5:1 scale factor help us understand the relationship between the drawing and the actual triangle? What are some real-world applications of scaling down objects, such as in model making or map creation?" |
Proportions | |
Math Clip Art--Geometry Concepts--Scale Drawing--06 | Math Clip Art--Scale Drawing--06TopicGeometry Concepts DescriptionThis image illustrates a scale drawing of a right triangle that has been scaled down by a factor of 4:1. Each side of the triangle in the drawing is one-fourth the length of the corresponding side in the actual object. This scaling helps in visualizing smaller versions of objects while maintaining accurate proportions. Teacher's Script: "Observe this scale drawing of a right triangle. How does the 4:1 scale factor affect the dimensions of the drawing compared to the actual triangle? What are some mathematical concepts you can explore using scale drawings, such as ratios or proportions?" |
Proportions | |
Math Clip Art--Geometry Concepts--Scale Drawing--07 | Math Clip Art--Scale Drawing--07TopicGeometry Concepts DescriptionThis image depicts a scale drawing of a right triangle that has been scaled down by a factor of 3:1. Each side of the triangle in the drawing is one-third the length of the corresponding side in the actual object. Scaling down is useful for creating manageable representations of larger objects. Teacher's Script: "Examine this scale drawing of a right triangle. How does the 3:1 scale factor help us understand the relationship between the drawing and the actual triangle? What are some real-world applications of scaling down objects, such as in model making or map creation?" |
Proportions | |
Math Clip Art--Geometry Concepts--Scale Drawing--08 | Math Clip Art--Scale Drawing--08TopicGeometry Concepts DescriptionThis image illustrates a scale drawing of a right triangle that has been scaled down by a factor of 2:1. Each side of the triangle in the drawing is one-half the length of the corresponding side in the actual object. This scaling helps in visualizing smaller versions of objects while maintaining accurate proportions. Teacher's Script: "Observe this scale drawing of a right triangle. How does the 2:1 scale factor affect the dimensions of the drawing compared to the actual triangle? What are some mathematical concepts you can explore using scale drawings, such as ratios or proportions?" |
Proportions | |
Math Clip Art--Linear Function Tables 01 | Math Clip Art--Linear Function Concepts--Linear Function Tables 01TopicLinear Functions DescriptionThis image is part of a series illustrating key concepts in linear functions, specifically focusing on linear function tables. It serves as a title card for a set of 10 clip art images that explore linear functions in tabular and graph form. This visual introduction sets the stage for understanding how linear functions can be represented and analyzed using tables. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Clip Art--Linear Function Tables 02 | Math Clip Art--Linear Function Concepts--Linear Function Tables 02TopicLinear Functions DescriptionThis image is part of a series illustrating key concepts in linear functions, focusing on linear function tables. It presents a data table demonstrating that a linear function table shows a common difference for values of f(x). This visual representation helps students understand the fundamental characteristic of linear functions - the constant rate of change. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Clip Art--Linear Function Tables 03 | Math Clip Art--Linear Function Concepts--Linear Function Tables 03TopicLinear Functions DescriptionThis image is part of a series illustrating key concepts in linear functions, specifically linear function tables. It builds on the previous image by showing that the common difference in a linear function can also be negative. This concept is crucial for understanding decreasing linear functions and their representation in tabular form. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Clip Art--Linear Function Tables 04 | Math Clip Art--Linear Function Concepts--Linear Function Tables 04TopicLinear Functions DescriptionThis image is part of a series illustrating key concepts in linear functions, focusing on linear function tables. It presents a new version of the previous table, this time demonstrating that the common difference can also be zero. This concept introduces students to constant functions, a special case of linear functions where the output remains the same regardless of the input. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Clip Art--Linear Function Tables 05 | Math Clip Art--Linear Function Concepts--Linear Function Tables 05TopicLinear Functions DescriptionThis image is part of a series illustrating key concepts in linear functions, focusing on the relationship between linear function tables and graphs. It shows both a data table and a linear graph of data points, demonstrating that the graph of a Linear Function Table is a series of collinear points. This visual representation helps students connect tabular and graphical representations of linear functions. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Clip Art--Linear Function Tables 06 | Math Clip Art--Linear Function Concepts--Linear Function Tables 06TopicLinear Functions DescriptionThis image is part of a series illustrating key concepts in linear functions, focusing on linear function tables and their corresponding graphs. It presents a variation of the previous image with a new set of data, demonstrating that when the common difference is positive, the orientation of the graph is upward from left to right. This helps students understand the concept of positive slope in linear functions. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Clip Art--Linear Function Tables 07 | Math Clip Art--Linear Function Concepts--Linear Function Tables 07TopicLinear Functions DescriptionThis image is part of a series illustrating key concepts in linear functions, focusing on linear function tables and their corresponding graphs. It shows a variation of the previous image with a new set of data, demonstrating that when the common difference is negative, the orientation of the graph is downward from left to right. This helps students understand the concept of negative slope in linear functions. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Clip Art--Linear Function Tables 08 | Math Clip Art--Linear Function Concepts--Linear Function Tables 08TopicLinear Functions DescriptionThis image is part of a series illustrating key concepts in linear functions, focusing on linear function tables and their corresponding graphs. It presents a variation of the previous image with a new set of data, showing that when the common difference is zero, the orientation of the graph is horizontal. This helps students understand the concept of zero slope in linear functions, also known as constant functions. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Clip Art--Linear Function Tables 09 | Math Clip Art--Linear Function Concepts--Linear Function Tables 09TopicLinear Functions DescriptionThis image is part of a series illustrating key concepts in linear functions, focusing on linear function tables. It shows a variation of the previous image with a new set of data, demonstrating that data gathered in a table can show a linear pattern. This concept helps students understand how to identify linear relationships from tabular data. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Clip Art--Linear Function Tables 10 | Math Clip Art--Linear Function Concepts--Linear Function Tables 10TopicLinear Functions DescriptionThis image is part of a series illustrating key concepts in linear functions, focusing on linear function tables and equations. It continues from the previous image, now including the equation f(x) = 0.5x - 3. This demonstrates that when a data set shows a linear pattern, it can be modeled by a linear function equation. This concept helps students understand the connection between tabular data and algebraic representations of linear functions. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Clip Art--Linear Functions Concepts--Graphs of Linear Functions 1 | Math Clip Art--Linear Functions Concepts--Graphs of Linear Functions 1TopicLinear Functions DescriptionThis image serves as a title card for a series of 10 clip art images that explore graphs of linear functions. It sets the stage for understanding how linear functions can be represented and analyzed graphically, introducing students to the visual aspect of these mathematical concepts. Using visual aids like this title card can help engage students and prepare them for the upcoming content. It provides a clear introduction to the topic and helps organize the learning material in a visually appealing way. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Clip Art--Linear Functions Concepts--Graphs of Linear Functions 10 | Math Clip Art--Linear Functions Concepts--Graphs of Linear Functions 10TopicLinear Functions DescriptionThis image is the final in a series illustrating key concepts in linear functions, focusing on the special case of vertical lines. It presents a variation of the previous image, now including a vertical line in the graph to demonstrate an important exception in linear functions. The image highlights that vertical lines are the only orientation not allowed in standard linear functions. This concept is crucial for students to understand the limitations of the slope-intercept form and to recognize when they need to use alternative representations. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Clip Art--Linear Functions Concepts--Graphs of Linear Functions 2 | Math Clip Art--Linear Functions Concepts--Graphs of Linear Functions 2TopicLinear Functions DescriptionThis image presents a data table alongside a linear graph with the slope and y-intercept labeled. It demonstrates the connection between tabular data and graphical representation of linear functions, helping students understand how numerical values translate into visual patterns. By incorporating this visual aid, teachers can enhance students' comprehension of the relationship between data points and their graphical representation. This image serves as a bridge between algebraic and geometric interpretations of linear functions. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Clip Art--Linear Functions Concepts--Graphs of Linear Functions 3 | Math Clip Art--Linear Functions Concepts--Graphs of Linear Functions 3TopicLinear Functions DescriptionThis image displays the general form of the slope-intercept equation (y = mx + b) with definitions of m and b. It provides a crucial link between the algebraic representation of linear functions and their graphical interpretation, helping students understand how each component of the equation affects the graph. Using this visual aid can significantly enhance students' understanding of the slope-intercept form and its relationship to linear graphs. It serves as a reference point for discussing how changes in m and b impact the line's appearance on a coordinate plane. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Clip Art--Linear Functions Concepts--Graphs of Linear Functions 4 | Math Clip Art--Linear Functions Concepts--Graphs of Linear Functions 4TopicLinear Functions DescriptionThis image continues from the previous one, now with labeled slope and y-intercept. It provides a visual breakdown of the general equation for a linear function, helping students understand this fundamental concept in a step-by-step manner. By using this visual aid, teachers can guide students through the process of understanding the slope-intercept form, reinforcing the connection between the algebraic definition and its graphical representation. This image is particularly useful for students who benefit from seeing mathematical concepts broken down into clear, visual steps. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Clip Art--Linear Functions Concepts--Graphs of Linear Functions 5 | Math Clip Art--Linear Functions Concepts--Graphs of Linear Functions 5TopicLinear Functions DescriptionThis image continues from the previous one, showing the slope calculation ratio. It demonstrates the importance of expressing slope as a ratio, which can help students more easily interpret and compare different linear functions. Incorporating this visual aid into lessons can help reinforce the concept of slope simplification and its importance in analyzing linear functions. It provides a clear example of how mathematical operations can be applied to make expressions more manageable and meaningful. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Clip Art--Linear Functions Concepts--Graphs of Linear Functions 6 | Math Clip Art--Linear Functions Concepts--Graphs of Linear Functions 6TopicLinear Functions DescriptionThis image presents a variation of the previous image with the y-intercept highlighted. It emphasizes the significance of the y-intercept in linear functions, helping students understand its role in determining where the line crosses the y-axis. By using this visual aid, teachers can draw attention to the y-intercept and its importance in interpreting linear functions. This image can help students connect the 'b' value in the slope-intercept form to its graphical representation, enhancing their understanding of how equations relate to graphs. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Clip Art--Linear Functions Concepts--Graphs of Linear Functions 7 | Math Clip Art--Linear Functions Concepts--Graphs of Linear Functions 7TopicLinear Functions DescriptionThis image is part of a series illustrating key concepts in linear functions, focusing on the domain of linear functions. It continues from the previous images in the series, now highlighting the concept of domain in linear functions. The image presents a continuation of the previous graph with the domain identified. This visual representation helps students understand that the domain of a linear function extends infinitely in both directions on the x-axis. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Clip Art--Linear Functions Concepts--Graphs of Linear Functions 8 | Math Clip Art--Linear Functions Concepts--Graphs of Linear Functions 8TopicLinear Functions DescriptionThis image is part of a series illustrating key concepts in linear functions, focusing on the range of linear functions. It presents a variation of the previous image, now highlighting the concept of range in linear functions. The image shows a variation of the previous graph with a label for the range. This visual aid helps students understand that the range of a linear function, like its domain, extends infinitely in both directions, but on the y-axis. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Clip Art--Linear Functions Concepts--Graphs of Linear Functions 9 | Math Clip Art--Linear Functions Concepts--Graphs of Linear Functions 9TopicLinear Functions DescriptionThis image is part of a series illustrating key concepts in linear functions, focusing on the various orientations of linear functions. It shows the slope-intercept equation alongside several linear graphs, emphasizing the infinite possibilities for linear function orientations. The image demonstrates that linear functions can have an infinite number of orientations, extending infinitely in all directions. This concept helps students understand the versatility and wide-ranging applications of linear functions in modeling real-world relationships. |
Graphs of Linear Functions and Slope-Intercept Form | |
Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 01 | Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 01
This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents. |
Proportions | |
Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 02 | Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 02
This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents. |
Proportions | |
Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 03 | Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 03
This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents. |
Proportions | |
Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 04 | Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 04
This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents. |
Proportions | |
Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 05 | Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 05
This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents. |
Proportions | |
Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 06 | Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 06
This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents. |
Proportions | |
Video Transcript: Ratios and Proportions: Scale Drawings | Video Transcript: Ratios and Proportions: Scale Drawings
This is the transcript that goes with the video segment entitled Video Tutorial: Ratios and Proportions: Scale Drawings. This is part of a collection of video transcripts for the video tutorial series on Ratios. 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. Video LibraryTo see the complete collection of videos in the Video Library, click on this link. |
Ratios and Rates | |
Worksheet: Linear Function Tables, f(x) = ax, Set 1 | Worksheet: Linear Function Tables, f(x) = ax, Set 1
This is part of a collection of math worksheets on the topic of linear function tables. 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. |
Applications of Linear Functions | |
Worksheet: Linear Function Tables, f(x) = ax, Set 10 | Worksheet: Linear Function Tables, f(x) = ax, Set 10
This is part of a collection of math worksheets on the topic of linear function tables. 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. |
Applications of Linear Functions | |
Worksheet: Linear Function Tables, f(x) = ax, Set 11 | Worksheet: Linear Function Tables, f(x) = ax, Set 11
This is part of a collection of math worksheets on the topic of linear function tables. 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. |
Applications of Linear Functions | |
Worksheet: Linear Function Tables, f(x) = ax, Set 12 | Worksheet: Linear Function Tables, f(x) = ax, Set 12
This is part of a collection of math worksheets on the topic of linear function tables. 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. |
Applications of Linear Functions | |
Worksheet: Linear Function Tables, f(x) = ax, Set 13 | Worksheet: Linear Function Tables, f(x) = ax, Set 13
This is part of a collection of math worksheets on the topic of linear function tables. 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. |
Applications of Linear Functions | |
Worksheet: Linear Function Tables, f(x) = ax, Set 14 | Worksheet: Linear Function Tables, f(x) = ax, Set 14
This is part of a collection of math worksheets on the topic of linear function tables. 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. |
Applications of Linear Functions | |
Worksheet: Linear Function Tables, f(x) = ax, Set 15 | Worksheet: Linear Function Tables, f(x) = ax, Set 15
This is part of a collection of math worksheets on the topic of linear function tables. 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. |
Applications of Linear Functions | |
Worksheet: Linear Function Tables, f(x) = ax, Set 16 | Worksheet: Linear Function Tables, f(x) = ax, Set 16
This is part of a collection of math worksheets on the topic of linear function tables. 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. |
Applications of Linear Functions | |
Worksheet: Linear Function Tables, f(x) = ax, Set 17 | Worksheet: Linear Function Tables, f(x) = ax, Set 17
This is part of a collection of math worksheets on the topic of linear function tables. 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. |
Applications of Linear Functions | |
Worksheet: Linear Function Tables, f(x) = ax, Set 18 | Worksheet: Linear Function Tables, f(x) = ax, Set 18
This is part of a collection of math worksheets on the topic of linear function tables. 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. |
Applications of Linear Functions | |
Worksheet: Linear Function Tables, f(x) = ax, Set 19 | Worksheet: Linear Function Tables, f(x) = ax, Set 19
This is part of a collection of math worksheets on the topic of linear function tables. 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. |
Applications of Linear Functions |