Use the following Media4Math resources with this Illustrative Math lesson.
Thumbnail Image | Title | Body | Curriculum Topic |
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Video Tutorial: Rational Numbers: Video 3 | Video Tutorial: Rational Numbers: Video 3
TopicRational Numbers DescriptionThis video demonstrates how rational numbers are plotted on a number line, showing positive and negative values sequentially. Examples include ecosystem measurements and thermometers interpreted as number lines. It highlights the infinite nature and precise placement of rational numbers in real-world scenarios. |
Rational Expressions | |
Video Tutorial: Rational Numbers: Video 4 | Video Tutorial: Rational Numbers: Video 4
TopicRational Numbers DescriptionThe video explains absolute value as the distance between two points on a number line. Key examples include altitude changes of kites and submersibles. Techniques involve counting increments or using subtraction. It emphasizes absolute value's role in understanding distances irrespective of direction. |
Rational Expressions | |
Video Tutorial: Rational Numbers: Video 5 | Video Tutorial: Rational Numbers: Video 5
TopicRational Numbers DescriptionThis video presents methods for comparing and ordering rational numbers using number lines. It emphasizes arranging numbers from least to greatest and graphing positions. Real-world applications include submersible depths and relative point positioning. |
Rational Expressions | |
Video Tutorial: Rational Numbers: Video 6 | Video Tutorial: Rational Numbers: Video 6
TopicRational Numbers DescriptionThis video introduces techniques for adding rational numbers. Examples include altitude changes and submersible descents. It covers adding mixed numbers, decimals, and opposites, showcasing the relationship between rational numbers and their negative counterparts, with applications in various contexts. |
Rational Expressions | |
Video Tutorial: Rational Numbers: Video 7 | Video Tutorial: Rational Numbers: Video 7
TopicRational Numbers DescriptionThis video explores subtracting rational numbers, with examples like temperature ranges and vertical distances. Techniques highlight the relationship between subtraction and addition of negatives. Applications include interpreting distances and temperature differences. |
Rational Expressions | |
Video Tutorial: Rational Numbers: Video 8 | Video Tutorial: Rational Numbers: Video 8
TopicRational Numbers DescriptionThe video covers multiplying rational numbers with examples like drilling depths and financial credits. It explains how repeated addition is modeled as multiplication. The mathematical proof demonstrates that multiplying rational numbers yields another rational number. |
Rational Expressions | |
Video Tutorial: Rational Numbers: Video 9 | Video Tutorial: Rational Numbers: Video 9
TopicRational Numbers DescriptionThis video explains dividing rational numbers using examples like sharing pizzas and complex fraction simplifications. It emphasizes rewriting terms to align with the rational number definition and addresses why dividing rational numbers results in another rational number. |
Rational Expressions | |
VIDEO: Brief Review, Video 10 | VIDEO: Brief Review: Adding and Subtracting 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 | |
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 | |
VIDEO: Brief Review, Video 12 | VIDEO: Brief Review: Dividing 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 | |
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 | |
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 | |
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 | |
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 |