Illustrative Math Alignment: Grade 6 Unit 3
Unit Rates and Percentages
Lesson 8: More about Constant Speed
Use the following Media4Math resources with this Illustrative Math lesson.
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Math Example--Ratios and Rates--Example 6 | Math Example--Ratios and Rates--Example 6TopicRatios and Rates DescriptionThis example explores ratios using geometric shapes of different colors. The image displays various shapes in yellow, blue, red, and green. Students are asked to determine the ratio of circular shapes to yellow objects. The solution reveals that there are 2 circular shapes and 1 yellow object, resulting in a ratio of 2 : 1, which is already in its simplest form. |
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Math Example--Ratios and Rates--Example 7 | Math Example--Ratios and Rates--Example 7TopicRatios and Rates DescriptionThis example focuses on ratios using geometric shapes. The image displays various shapes in yellow, blue, red, and green. Students are asked to determine the ratio of triangles to quadrilaterals. The solution shows that there are 4 triangles and 6 quadrilaterals, resulting in a ratio of 4 : 6, which simplifies to 2 : 3. |
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Math Example--Ratios and Rates--Example 8 | Math Example--Ratios and Rates--Example 8TopicRatios and Rates DescriptionThis example explores ratios using geometric shapes and colors. The image displays various shapes in yellow, blue, red, and green. Students are asked to determine the ratio of octagons to blue shapes. The solution reveals that there are 2 octagons and 5 blue shapes, resulting in a ratio of 2 : 5, which is already in its simplest form. |
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Math Example--Ratios and Rates--Example 9 | Math Example--Ratios and Rates--Example 9TopicRatios and Rates DescriptionThis example introduces the concept of ratios in genetics using a Punnett square. The image shows genetic combinations for a flower's color, including RR, Rw, and ww, with corresponding images of red and white flowers. Students are asked to determine the ratio of different gene combinations. |
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Math in the News: Issue 95--The Iditarod Race | Math in the News: Issue 95--The Iditarod Race
March 2014. In this issue of Math in the News we look at the Iditarod Race in Alaska. This gives us an opportunity to analyze data on average speed. We look at data in tables and line graphs and analyze the winning speeds over the history of the race. This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
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SAT Math Lesson Plan 9: Rates, Units, and Conversions | Lesson Plan: Rates, Units, and Conversions This 45-minute SAT Math lesson focuses on solving problems involving unit rates, dimensional analysis, and unit conversions. Students will learn how to calculate speed, cost per item, and population density, as well as how to convert between units using proportion and dimensional analysis. The lesson also includes multi-step word problems that combine rate calculations with percent-based reasoning—realistic scenarios frequently tested on the SAT. |
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Video Transcript: Algebra Nspirations: Linear Functions, 1 | Video Transcript: Algebra Nspirations: Linear Functions, Part 1
This is the transcript for the video of same title. Video contents: In this Investigation we look at linear models for objects moving at a constant speed. 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 |
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Video Transcript: Ratios and Rates: Converting Measurement Units | Video Transcript: Ratios and Rates: Converting Measurement Units
This is the transcript that goes with the video segment entitled Video Tutorial: Ratios and Rates: Converting Measurement Units. 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. |
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Video Transcript: Ratios and Rates: Rates and Slopes of Lines | Video Transcript: Ratios and Rates: Rates and Slopes of Lines
This is the transcript that goes with the video segment entitled Video Tutorial: Ratios and Rates: Rates and Slopes of Lines. 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. |
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Video Transcript: Ratios and Rates: Rates from Data | Video Transcript: Ratios and Rates: Rates from Data
This is the transcript that goes with the video segment entitled Video Tutorial: Ratios and Rates: Rates from Data. 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. |
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Video Transcript: Ratios and Rates: Ratios as Decimals | Video Transcript: Ratios and Rates: Ratios as Decimals
This is the transcript that goes with the video segment entitled Video Tutorials: Ratios and Rates: Ratios and Decimals. 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. |
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Video Transcript: Ratios, Proportions, and Percents: Calculating Percents | Video Transcript: Ratios, Proportions, and Percents: Calculating Percents
This is the transcript that goes with the video segment entitled Video Tutorials: Ratios, Proportions, and Percents: Calculating Percents. 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. |
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Video Transcript: Ratios: Unit Rates | Video Transcript: Ratios: Unit Rates
What Are Ratios?A ratio is the relationship between two or more quantities among a group of items. |
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Video Tutorial: Ratios, Video 13 | Video Tutorial: Ratios, Video 13
TopicRatios DescriptionThis video demonstrates calculating rates from data sets, focusing on patterns like distance-time relationships and wages. Examples include determining car speeds, hourly wages, and unit costs of gasoline. Data tables are used to visualize and compute rates. |
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Video Tutorial: Ratios, Video 14 | Video Tutorial: Ratios, Video 14
TopicRatios DescriptionRates are linked to slopes in linear functions. The video explores calculating rates of change for graphs of speed, savings growth, and loan repayment. It highlights using the slope formula to interpret and solve practical problems. |
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Video Tutorial: Ratios, Video 15 | Video Tutorial: Ratios, Video 15
TopicRatios DescriptionThis video covers converting units using rates, with examples like speed conversion, currency exchange, and calculating seconds in a year. It emphasizes multiplication by conversion rates to transition between units effectively. |
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Video Tutorial: Ratios, Video 16 | Video Tutorial: Ratios, Video 16
TopicRatios DescriptionRatios are connected to percentages in this video. Examples include finding percentages of items in collections. It develops a formula for converting part-to-whole ratios into percentages. Relevance to the Topic: This video is a crucial resource for understanding the concept of Ratios. It delves into mathematical foundations by exploring how ratios function in real-life scenarios, such as scaling, comparisons, or visual representations. The mathematical principles demonstrated include proportional reasoning, equivalence, and fraction comparisons. |
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Video Tutorial: Ratios, Video 17 | Video Tutorial: Ratios, Video 17
TopicRatios DescriptionThis video illustrates converting ratios to percents using visual aids like area models and grids. Examples include determining percentages of colored eggs, fruit types, and combinations of colored lights. |
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Video Tutorial: Ratios, Video 18 | Video Tutorial: Ratios, Video 18
TopicRatios DescriptionThe video explores working with ratios involving decimals, such as finding unit costs or recycling rates. Scientific notation and multi-step conversions are used to calculate speeds of spacecraft like Voyager I. |
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Video Tutorial: Ratios, Video 9 | Video Tutorial: Ratios, Video 9
TopicRatios DescriptionThe video focuses on unit rates, where the denominator equals one. It includes practical examples like finding the cost per pound of bananas or determining hourly wages. Applications extend to conversions and scaling calculations for various real-world tasks. |
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VIDEO: Algebra Applications: Inequalities, 1 | VIDEO: Algebra Applications: Inequalities, 1
TopicTopic: Inequalities |
Applications of Equations and Inequalities and Inequalities |
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Worksheet: Unit Rates and Data Tables, Worksheet 01 | Worksheet: Unit Rates and Data Tables, Worksheet 01
This is part of a collection of math worksheets on the topic of unit rates. 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. |
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Worksheet: Unit Rates and Data Tables, Worksheet 02 | Worksheet: Unit Rates and Data Tables, Worksheet 02
This is part of a collection of math worksheets on the topic of unit rates. 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. |
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Worksheet: Unit Rates and Data Tables, Worksheet 03 | Worksheet: Unit Rates and Data Tables, Worksheet 03
This is part of a collection of math worksheets on the topic of unit rates. 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. |
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Worksheet: Unit Rates and Data Tables, Worksheet 04 | Worksheet: Unit Rates and Data Tables, Worksheet 04
This is part of a collection of math worksheets on the topic of unit rates. 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. |
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Worksheet: Unit Rates and Data Tables, Worksheet 05 | Worksheet: Unit Rates and Data Tables, Worksheet 05
This is part of a collection of math worksheets on the topic of unit rates. 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. |
Ratios and Rates |
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Worksheet: Unit Rates and Data Tables, Worksheet 06 | Worksheet: Unit Rates and Data Tables, Worksheet 06
This is part of a collection of math worksheets on the topic of unit rates. 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. |
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Worksheet: Unit Rates and Data Tables, Worksheet 07 | Worksheet: Unit Rates and Data Tables, Worksheet 07
This is part of a collection of math worksheets on the topic of unit rates. 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. |
Ratios and Rates |
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Worksheet: Unit Rates and Data Tables, Worksheet 08 | Worksheet: Unit Rates and Data Tables, Worksheet 08
This is part of a collection of math worksheets on the topic of unit rates. 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. |
Ratios and Rates |
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Worksheet: Unit Rates and Data Tables, Worksheet 09 | Worksheet: Unit Rates and Data Tables, Worksheet 09
This is part of a collection of math worksheets on the topic of unit rates. 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. |
Ratios and Rates |
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Worksheet: Unit Rates and Data Tables, Worksheet 10 | Worksheet: Unit Rates and Data Tables, Worksheet 10
This is part of a collection of math worksheets on the topic of unit rates. 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. |
Ratios and Rates |
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Worksheet: Unit Rates and Data Tables, Worksheet 11 | Worksheet: Unit Rates and Data Tables, Worksheet 11
This is part of a collection of math worksheets on the topic of unit rates. 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. |
Ratios and Rates |
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Worksheet: Unit Rates and Data Tables, Worksheet 12 | Worksheet: Unit Rates and Data Tables, Worksheet 12
This is part of a collection of math worksheets on the topic of unit rates. 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. |
Ratios and Rates |
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Worksheet: Unit Rates and Data Tables, Worksheet 13 | Worksheet: Unit Rates and Data Tables, Worksheet 13
This is part of a collection of math worksheets on the topic of unit rates. 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. |
Ratios and Rates |
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Worksheet: Unit Rates and Data Tables, Worksheet 14 | Worksheet: Unit Rates and Data Tables, Worksheet 14
This is part of a collection of math worksheets on the topic of unit rates. 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. |
Ratios and Rates |
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Worksheet: Unit Rates and Data Tables, Worksheet 15 | Worksheet: Unit Rates and Data Tables, Worksheet 15
This is part of a collection of math worksheets on the topic of unit rates. 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. |
Ratios and Rates |
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Worksheet: Unit Rates and Data Tables, Worksheet 16 | Worksheet: Unit Rates and Data Tables, Worksheet 16
This is part of a collection of math worksheets on the topic of unit rates. 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. |
Ratios and Rates |
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Worksheet: Unit Rates and Data Tables, Worksheet 17 | Worksheet: Unit Rates and Data Tables, Worksheet 17
This is part of a collection of math worksheets on the topic of unit rates. 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. |
Ratios and Rates |
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Worksheet: Unit Rates and Data Tables, Worksheet 18 | Worksheet: Unit Rates and Data Tables, Worksheet 18
This is part of a collection of math worksheets on the topic of unit rates. 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. |
Ratios and Rates |
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Worksheet: Unit Rates and Data Tables, Worksheet 19 | Worksheet: Unit Rates and Data Tables, Worksheet 19
This is part of a collection of math worksheets on the topic of unit rates. 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. |
Ratios and Rates |
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Worksheet: Unit Rates and Data Tables, Worksheet 20 | Worksheet: Unit Rates and Data Tables, Worksheet 20
This is part of a collection of math worksheets on the topic of unit rates. 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. |
Ratios and Rates |
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Worksheet: Unit Rates and Data Tables, Worksheet 21 | Worksheet: Unit Rates and Data Tables, Worksheet 21
This is part of a collection of math worksheets on the topic of unit rates. 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. |
Ratios and Rates |
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Worksheet: Unit Rates and Data Tables, Worksheet 22 | Worksheet: Unit Rates and Data Tables, Worksheet 22
This is part of a collection of math worksheets on the topic of unit rates. 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. |
Ratios and Rates |
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Worksheet: Unit Rates and Data Tables, Worksheet 23 | Worksheet: Unit Rates and Data Tables, Worksheet 23
This is part of a collection of math worksheets on the topic of unit rates. 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. |
Ratios and Rates |
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Worksheet: Unit Rates and Data Tables, Worksheet 24 | Worksheet: Unit Rates and Data Tables, Worksheet 24
This is part of a collection of math worksheets on the topic of unit rates. 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. |
Ratios and Rates |
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Worksheet: Unit Rates and Data Tables, Worksheet 25 | Worksheet: Unit Rates and Data Tables, Worksheet 25
This is part of a collection of math worksheets on the topic of unit rates. 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. |
Ratios and Rates |
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Worksheet: Unit Rates and Data Tables, Worksheet 26 | Worksheet: Unit Rates and Data Tables, Worksheet 26
This is part of a collection of math worksheets on the topic of unit rates. 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. |
Ratios and Rates |
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Worksheet: Unit Rates and Data Tables, Worksheet 27 | Worksheet: Unit Rates and Data Tables, Worksheet 27
This is part of a collection of math worksheets on the topic of unit rates. 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. |
Ratios and Rates |
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Worksheet: Unit Rates and Data Tables, Worksheet 28 | Worksheet: Unit Rates and Data Tables, Worksheet 28
This is part of a collection of math worksheets on the topic of unit rates. 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. |
Ratios and Rates |
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Worksheet: Unit Rates and Data Tables, Worksheet 29 | Worksheet: Unit Rates and Data Tables, Worksheet 29
This is part of a collection of math worksheets on the topic of unit rates. 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. |
Ratios and Rates |
