Illustrative Math Alignment: Grade 7 Unit 5
Rational Number Arithmetic
Lesson 12: Negative Rates
Use the following Media4Math resources with this Illustrative Math lesson.
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Video Tutorial: Ratios, Video 8 | Video Tutorial: Ratios, Video 8
TopicRatios DescriptionThis video introduces rates, a type of ratio comparing different units, such as distance over time (speed) or dollars per hour (wage). Examples demonstrate calculating rates and converting units. Applications include measuring efficiency and performing unit conversions. |
Ratios and Rates |
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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. |
Ratios and Rates |
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Video Tutorial: Ratios, Video 10 | Video Tutorial: Ratios, Video 10
TopicRatios DescriptionProportions are explained as equivalent ratios used to solve real-world problems. Examples include matching juice mixtures and adjusting recipes. The video uses ratio tables and number lines to scale ratios proportionally in practical applications. |
Ratios and Rates |
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VIDEO: Algebra Applications: Rational Functions, 1 | VIDEO: Algebra Applications: Rational Functions, 1
TopicRational Functions DescriptionExplains submarine pressure and volume relationships using rational functions, illustrating depth impacts on vessel integrity and scuba safety. Relevance: This video provides a practical perspective on Rational Functions, making abstract concepts more accessible through real-world applications. |
Rational Expressions and Rational Functions and Equations |
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VIDEO: Algebra Applications: Rational Functions, 2 | VIDEO: Algebra Applications: Rational Functions, 2
TopicRational Functions DescriptionExamines surface area to volume ratios in animals using rational functions, connecting these ratios to evolutionary adaptations in different climates. Relevance: This video provides a practical perspective on Rational Functions, making abstract concepts more accessible through real-world applications. |
Rational Expressions and Rational Functions and Equations |
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VIDEO: Algebra Applications: Rational Functions, 3 | VIDEO: Algebra Applications: Rational Functions, 3
TopicRational Functions DescriptionDemonstrates the optics of the Hubble telescope through rational functions, analyzing lens properties and asymptotes for image clarity. Relevance: This video provides a practical perspective on Rational Functions, making abstract concepts more accessible through real-world applications. |
Rational Expressions and Rational Functions and Equations |
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VIDEO: Algebra Nspirations: Rational Functions | VIDEO: Algebra Nspirations: Rational Functions
TopicRational Functions |
Rational Expressions and Rational Functions and Equations |
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VIDEO: Algebra Nspirations: Rational Functions, 1 | VIDEO: Algebra Nspirations: Rational Functions, 1
TopicRational Functions DescriptionThis segment explores rational functions, focusing on direct and inverse variation. Key terms include constant of proportionality and rational function. Boyle's Law serves as a central example, showcasing the relationship between pressure and volume of a gas. Data plotting and regression analysis with TI-Nspire help identify mathematical models. Applications highlight scientific principles from physics and chemistry. |
Rational Expressions and Rational Functions and Equations |
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VIDEO: Algebra Nspirations: Rational Functions, 2 | VIDEO: Algebra Nspirations: Rational Functions, 2
TopicRational Functions DescriptionIn this Math Lab explore rational numbers that can be written as repeating decimals. This video provides an in-depth exploration of the concept of rational functions and their applications. By understanding the mathematical intricacies and observing real-world examples, students can connect abstract concepts to practical scenarios. |
Rational Expressions and Rational Functions and Equations |
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VIDEO: Algebra Nspirations: Rational Functions, 3 | VIDEO: Algebra Nspirations: Rational Functions, 3
TopicRational Functions DescriptionThis part examines graphs of rational functions like y = a/x, including their asymptotic behavior and properties. Key terms include hyperbola, vertical asymptote, and horizontal asymptote. TI-Nspire is used to analyze effects of parameter changes, transitions between quadrants, and graphical intersections. Applications include real-world scenarios and mathematical exploration of function behaviors. |
Rational Expressions and Rational Functions and Equations |
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VIDEO: Algebra Nspirations: Rational Functions, 4 | VIDEO: Algebra Nspirations: Rational Functions, 4
TopicRational Functions DescriptionIn this Math Lab explore the graphs of rational functions. This video provides an in-depth exploration of the concept of rational functions and their applications. By understanding the mathematical intricacies and observing real-world examples, students can connect abstract concepts to practical scenarios. |
Rational Expressions and Rational Functions and Equations |
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VIDEO: Brief Review, Video 11 | VIDEO: Brief Review: Multiplying Rational Numbers
Watch this video about rational numbers. (The transcript is included.) Video Transcript
In your study of integers you saw that dividing integers sometimes resulted in a non-integer quotient. In this video we look at a class of numbers called rational numbers, which also includes the integers. Let’s start with an example. |
Numerical Expressions |
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VIDEO: Brief Review, Video 13 | VIDEO: Brief Review: Applications of Rational Numbers
Watch this video about rational numbers. (The transcript is included.) Video Transcript
In your study of integers you saw that dividing integers sometimes resulted in a non-integer quotient. In this video we look at a class of numbers called rational numbers, which also includes the integers. Let’s start with an example. |
Numerical Expressions |
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VIDEO: Brief Review, Video 9 | VIDEO: Brief Review: What Is a Rational Number?
Watch this video about rational numbers. (The transcript is included.) Video Transcript
In your study of integers you saw that dividing integers sometimes resulted in a non-integer quotient. In this video we look at a class of numbers called rational numbers, which also includes the integers. Let’s start with an example. |
Numerical Expressions |
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VIDEO: Ti-Nspire Mini-Tutorial, Video 24 | VIDEO: TI-Nspire Mini-Tutorial: (CAS) Adding and Subtracting Rational Expressions
In this TI Nspire tutorial for the TI-Nspire CAS, the Calculator Window is used to combine and simplify rational expressions. This video supports the TI-Nspire Clickpad and Touchpad. |
Rational Expressions |
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VIDEO: Ti-Nspire Mini-Tutorial, Video 28 | VIDEO: TI-Nspire Mini-Tutorial: (CAS) Multiplying Rational Expressions
In this TI Nspire tutorial for the TI-Nspire CAS, the Calculator Window is used to multiply rational expressions. This video supports the TI-Nspire Clickpad and Touchpad. |
Rational Expressions |
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VIDEO: Ti-Nspire Mini-Tutorial, Video 29 | VIDEO: TI-Nspire Mini-Tutorial: (CAS) Simplifying Rational Expressions
In this TI Nspire tutorial for the TI-Nspire CAS, the Calculator Window is used to combine and simplify rational expressions. This video supports the TI-Nspire Clickpad and Touchpad. |
Rational Expressions |
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Worksheet: TI-Nspire Mini-Tutorial: (CAS) Adding and Subtracting Rational Expressions | Worksheet: TI-Nspire Mini-Tutorial: (CAS) Adding and Subtracting Rational Expressions
This is part of a collection of math worksheets on the use of the TI-Nspire graphing calculator. Each worksheet supports a companion TI-Nspire Mini-Tutorial video. It provides all the keystrokes for the activity. 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. |
Rational Expressions and Rational Functions and Equations |
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Worksheet: TI-Nspire Mini-Tutorial: (CAS) Multiplying Rational Expressions | Worksheet: TI-Nspire Mini-Tutorial: (CAS) Multiplying Rational Expressions
This is part of a collection of math worksheets on the use of the TI-Nspire graphing calculator. Each worksheet supports a companion TI-Nspire Mini-Tutorial video. It provides all the keystrokes for the activity. 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. |
Rational Expressions and Rational Functions and Equations |
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Worksheet: TI-Nspire Mini-Tutorial: (CAS) Simplifying Rational Expressions | Worksheet: TI-Nspire Mini-Tutorial: (CAS) Simplifying Rational Expressions
This is part of a collection of math worksheets on the use of the TI-Nspire graphing calculator. Each worksheet supports a companion TI-Nspire Mini-Tutorial video. It provides all the keystrokes for the activity. 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. |
Rational Expressions and Rational Functions and Equations |
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Worksheet: TI-Nspire Mini-Tutorial: Composite Functions, Linear to Rational | Worksheet: TI-Nspire Mini-Tutorial: Composite Functions, Linear to Rational
What Are Composite Functions?Modeling Functions |
Rational Expressions and Rational Functions and Equations |
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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. |
Ratios and Rates |
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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. |
Ratios and Rates |
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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. |
Ratios and Rates |
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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. |
Ratios and Rates |
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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. |
Ratios and Rates |
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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 |
