Use the following Media4Math resources with this Illustrative Math lesson.
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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--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 | |
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--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 | |
Math Example--Measurement--Converting Units--Example 1 | Math Example--Measurement--Converting Units--Example 1
This is part of a collection of math examples that focus on measurement. |
Numerical Expressions and Units of Measure | |
Math Example--Measurement--Converting Units--Example 10 | Math Example--Measurement--Converting Units--Example 10
This is part of a collection of math examples that focus on measurement. |
Numerical Expressions and Units of Measure | |
Math Example--Measurement--Converting Units--Example 11 | Math Example--Measurement--Converting Units--Example 11
This is part of a collection of math examples that focus on measurement. |
Numerical Expressions and Units of Measure | |
Math Example--Measurement--Converting Units--Example 12 | Math Example--Measurement--Converting Units--Example 12
This is part of a collection of math examples that focus on measurement. |
Numerical Expressions and Units of Measure | |
Math Example--Measurement--Converting Units--Example 2 | Math Example--Measurement--Converting Units--Example 2
This is part of a collection of math examples that focus on measurement. |
Numerical Expressions and Units of Measure | |
Math Example--Measurement--Converting Units--Example 3 | Math Example--Measurement--Converting Units--Example 3
This is part of a collection of math examples that focus on measurement. |
Units of Measure | |
Math Example--Measurement--Converting Units--Example 4 | Math Example--Measurement--Converting Units--Example 4
This is part of a collection of math examples that focus on measurement. |
Numerical Expressions and Units of Measure | |
Math Example--Measurement--Converting Units--Example 5 | Math Example--Measurement--Converting Units--Example 5
This is part of a collection of math examples that focus on measurement. |
Numerical Expressions and Units of Measure | |
Math Example--Measurement--Converting Units--Example 6 | Math Example--Measurement--Converting Units--Example 6
This is part of a collection of math examples that focus on measurement. |
Numerical Expressions and Units of Measure | |
Math Example--Measurement--Converting Units--Example 7 | Math Example--Measurement--Converting Units--Example 7
This is part of a collection of math examples that focus on measurement. |
Numerical Expressions and Units of Measure | |
Math Example--Measurement--Converting Units--Example 8 | Math Example--Measurement--Converting Units--Example 8
This is part of a collection of math examples that focus on measurement. |
Numerical Expressions and Units of Measure | |
Math Example--Measurement--Converting Units--Example 9 | Math Example--Measurement--Converting Units--Example 9
This is part of a collection of math examples that focus on measurement. |
Numerical Expressions and Units of Measure | |
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 |