Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 8

Pythagorean Theorem and Irrational Numbers

Lesson 15: Infinite Decimal Expansions

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
VideoTutorial--RationalNumbersVideoThumbnail03.jpg Video Tutorial: Rational Numbers: Video 3 Video Tutorial: Rational Numbers: Video 3

Topic

Rational Numbers

Description

This 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
VideoTutorial--RationalNumbersVideoThumbnail04.jpg Video Tutorial: Rational Numbers: Video 4 Video Tutorial: Rational Numbers: Video 4

Topic

Rational Numbers

Description

The 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
VideoTutorial--RationalNumbersVideoThumbnail05.jpg Video Tutorial: Rational Numbers: Video 5 Video Tutorial: Rational Numbers: Video 5

Topic

Rational Numbers

Description

This 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
VideoTutorial--RationalNumbersVideoThumbnail06.jpg Video Tutorial: Rational Numbers: Video 6 Video Tutorial: Rational Numbers: Video 6

Topic

Rational Numbers

Description

This 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
VideoTutorial--RationalNumbersVideoThumbnail07.jpg Video Tutorial: Rational Numbers: Video 7 Video Tutorial: Rational Numbers: Video 7

Topic

Rational Numbers

Description

This 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
VideoTutorial--RationalNumbersVideoThumbnail08.jpg Video Tutorial: Rational Numbers: Video 8 Video Tutorial: Rational Numbers: Video 8

Topic

Rational Numbers

Description

The 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
VideoTutorial--RationalNumbersVideoThumbnail09.jpg Video Tutorial: Rational Numbers: Video 9 Video Tutorial: Rational Numbers: Video 9

Topic

Rational Numbers

Description

This 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: Adding and Subtracting Rational Numbers 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, Multiplying Rational Numbers 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: Dividing Rational Numbers 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: Applications of Rational Numbers 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, What Is a Rational Number? 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: (CAS) Multiplying Rational 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 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 Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Rational Expressions and Rational Functions and Equations