Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 8

Pythagorean Theorem and Irrational Numbers

Lesson 10: Applications of the Pythagorean Theorem

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Collection Linear Functions and Equations Collection: Video Tutorials

Overview

This collection of videos analyzes linear functions in slope-intercept form. There are a total of 18 videos. 

 

Graphs of Linear Functions, Standard Form, Point-Slope Form, Slope, Special Functions and Applications of Linear Functions
Math Examples Math Examples Collection: Quadratics

Overview

This comprehensive collection of quadratic examples offers a valuable resource for students and educators alike. The examples cover a wide range of quadratic concepts, progressively increasing in complexity to challenge learners at various skill levels

ls to simplify complex quadratic concepts, making them more accessible and easier to understand. These visual aids help students grasp abstract ideas and reinforce their understanding of quadratic functions, equations, and graphs

Quadratic Formula, Quadratic Equations and Functions, Conic Sections, Factoring Quadratics, Graphs of Quadratic Functions, The FOIL Method, Numerical and Algebraic Expressions and Polynomial Expressions
Animated Math Clip Art Halloween Math Collection

Overview

This is a collection of Halloween-themed math clip art and other resources. There are more than 40 resources. To see the complete collection of Math Clip Art, click on this link.

 

3-Dimensional Figures, Applications of 3D Geometry, Numerical Expressions, Even and Odd Numbers, Ratios and Rates, Counting, Data Analysis and Divide by 1-Digit Numbers
Math in the News Math in the News Collection: Applications of 3D Geometry

Overview

This is a collection of issues of Math in the News that deal with applications of 3D geometry.

 

 

 
3-Dimensional Figures and Applications of 3D Geometry
Math in the News Math in the News Collection: Business Math

Overview

This is a collection of issues of Math in the News that deal with business applications.

 

 

 
Applications of Exponential and Logarithmic Functions, Data Analysis and Volume
Math in the News Math in the News Collection: Applications of Exponential Functions

Overview

This is a collection of Math in the News stories that focus on the topic of Exponential Functions.

 

 

 
Applications of Exponential and Logarithmic Functions, Applications of Linear Functions, Data Analysis and Sequences
Theorems Collection Math Definitions Collection: Geometry Theorems and Postulates

Overview

This collection aggregates all the definition image cards around the topic of Theorems and Postulates terms and vocabulary. There are a total of 18 terms. This collection of resources is made up of downloadable PNG files that you can easily incorporate into a presentation.

 

 

 

Definition of a Triangle, Definition of an Angle, Right Triangles and Definition of a Line
Math Videos Math Video Collection: Video Tutorials Series: Rational Numbers

Overview

This collection aggregates all the math videos and resources in this series: Video Tutorials Series: Rational Numbers. There are a total of 39 resources. This collection of resources is made up of downloadable MP4, transcripts, and other resources files that you can easily incorporate into a presentation.

 

Rational Expressions
Math Examples Math Examples Collection: Right Triangles

Overview

The Media4Math collection on Right Triangles offers a comprehensive set of examples designed to enhance students' understanding of this fundamental geometric concept. These examples cover a wide range of skills, including applying the Pythagorean theorem, using trigonometric ratios, and solving real-world problems involving right triangles.

Right Triangles
Math Examples Math Examples Collection: The Discriminant

Overview

This collection aggregates all the math examples around the topic of Calculating the Discriminant. There are a total of 10 Math Examples. This collection of resources is made up of downloadable PNG images that you can easily incorporate into your lesson plans.

 

Quadratic Formula
Math Examples Math Examples Collection: Cube Root Functions in Tabular and Graph Form

Overview

This comprehensive collection of 40 math examples focuses on Cube Root Functions, offering educators a wealth of resources to enhance their lesson plans. The examples are designed to progressively increase in complexity, covering a wide range of skills related to cube root functions. By utilizing visual models, these examples help simplify complex concepts, making them more accessible to students.

Polynomial Functions and Equations
Collection Quadratics Collection: Texas Instruments Graphing Calculator Resources  

A set of resources for the TI-Nspire, TI-Nspire CX, and the Nspire App.

 

Applications of Quadratic Functions, Graphs of Quadratic Functions, Quadratic Formula, Data Analysis, Quadratic Equations and Functions, Inequalities and Composite Functions
Collection Holiday Themed Resource Collection: Instructional Resources  

This is a collection of Holiday-Themed math activities. 

 

Ratios and Rates and Numerical and Algebraic Expressions
Closed Captioned Video: Rational Numbers: Adding Rational Numbers Closed Captioned Video: Rational Numbers: Adding Rational Numbers Closed Captioned Video: Rational Numbers: Adding Rational Numbers

This is part of a collection of video tutorials on the topic of Rational Numbers. This includes defining rational numbers, rational number operations, comparing and ordering rational numbers, and applications of rational numbers.

—PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on fractions, click on this link.

The following section includes background information on rational numbers. Refer to this section as you view the videos, or as review material afterward.

Rational Expressions
Closed Captioned Video: Rational Numbers: Comparing and Ordering Rational Numbers Closed Captioned Video: Rational Numbers: Comparing and Ordering Rational Numbers Closed Captioned Video: Rational Numbers: Comparing and Ordering Rational Numbers

This is part of a collection of video tutorials on the topic of Rational Numbers. This includes defining rational numbers, rational number operations, comparing and ordering rational numbers, and applications of rational numbers.

—PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on fractions, click on this link.

The following section includes background information on rational numbers. Refer to this section as you view the videos, or as review material afterward.

Rational Expressions
Closed Captioned Video: Rational Numbers: Dividing Rational Numbers Closed Captioned Video: Rational Numbers: Dividing Rational Numbers Closed Captioned Video: Rational Numbers: Dividing Rational Numbers

This is part of a collection of video tutorials on the topic of Rational Numbers. This includes defining rational numbers, rational number operations, comparing and ordering rational numbers, and applications of rational numbers.

—PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on fractions, click on this link.

The following section includes background information on rational numbers. Refer to this section as you view the videos, or as review material afterward.

Rational Expressions
Closed Captioned Video: Rational Numbers: Multiplying Rational Numbers Closed Captioned Video: Rational Numbers: Multiplying Rational Numbers Closed Captioned Video: Rational Numbers: Multiplying Rational Numbers

This is part of a collection of video tutorials on the topic of Rational Numbers. This includes defining rational numbers, rational number operations, comparing and ordering rational numbers, and applications of rational numbers.

—PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on fractions, click on this link.

The following section includes background information on rational numbers. Refer to this section as you view the videos, or as review material afterward.

Rational Expressions
Closed Captioned Video: Rational Numbers: Numerical Expressions with Rational Numbers Closed Captioned Video: Rational Numbers: Numerical Expressions with Rational Numbers Closed Captioned Video: Rational Numbers: Numerical Expressions with Rational Numbers

This is part of a collection of video tutorials on the topic of Rational Numbers. This includes defining rational numbers, rational number operations, comparing and ordering rational numbers, and applications of rational numbers.

—PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on fractions, click on this link.

The following section includes background information on rational numbers. Refer to this section as you view the videos, or as review material afterward.

Rational Expressions
Closed Captioned Video: Rational Numbers: Rational Numbers and Absolute Value Closed Captioned Video: Rational Numbers: Rational Numbers and Absolute Value Closed Captioned Video: Rational Numbers: Rational Numbers and Absolute Value

This is part of a collection of video tutorials on the topic of Rational Numbers. This includes defining rational numbers, rational number operations, comparing and ordering rational numbers, and applications of rational numbers.

—PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on fractions, click on this link.

The following section includes background information on rational numbers. Refer to this section as you view the videos, or as review material afterward.

Rational Expressions
Closed Captioned Video: Rational Numbers: Rational Numbers and Exponents Closed Captioned Video: Rational Numbers: Rational Numbers and Exponents Closed Captioned Video: Rational Numbers: Rational Numbers and Exponents

This is part of a collection of video tutorials on the topic of Rational Numbers. This includes defining rational numbers, rational number operations, comparing and ordering rational numbers, and applications of rational numbers.

—PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on fractions, click on this link.

The following section includes background information on rational numbers. Refer to this section as you view the videos, or as review material afterward.

Rational Expressions
Closed Captioned Video: Rational Numbers: Rational Numbers and Irrational Numbers Closed Captioned Video: Rational Numbers: Rational Numbers and Irrational Numbers Closed Captioned Video: Rational Numbers: Rational Numbers and Irrational Numbers

This is part of a collection of video tutorials on the topic of Rational Numbers. This includes defining rational numbers, rational number operations, comparing and ordering rational numbers, and applications of rational numbers.

—PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on fractions, click on this link.

The following section includes background information on rational numbers. Refer to this section as you view the videos, or as review material afterward.

Rational Expressions
Closed Captioned Video: Rational Numbers: Rational Numbers and Irrational Numbers Closed Captioned Video: Rational Numbers: Rational Numbers and Irrational Numbers Closed Captioned Video: Rational Numbers: Rational Numbers and Irrational Numbers

This is part of a collection of video tutorials on the topic of Rational Numbers. This includes defining rational numbers, rational number operations, comparing and ordering rational numbers, and applications of rational numbers.

—PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on fractions, click on this link.

The following section includes background information on rational numbers. Refer to this section as you view the videos, or as review material afterward.

Rational Expressions
Closed Captioned Video: Rational Numbers: Rational Numbers on a Number Line Closed Captioned Video: Rational Numbers: Rational Numbers on a Number Line Closed Captioned Video: Rational Numbers: Rational Numbers on a Number Line

This is part of a collection of video tutorials on the topic of Rational Numbers. This includes defining rational numbers, rational number operations, comparing and ordering rational numbers, and applications of rational numbers.

—PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on fractions, click on this link.

The following section includes background information on rational numbers. Refer to this section as you view the videos, or as review material afterward.

Rational Expressions
Closed Captioned Video: Rational Numbers: Rational Numbers on the Cartesian Coordinate System Closed Captioned Video: Rational Numbers: Rational Numbers on the Cartesian Coordinate System Closed Captioned Video: Rational Numbers: Rational Numbers on the Cartesian Coordinate System

This is part of a collection of video tutorials on the topic of Rational Numbers. This includes defining rational numbers, rational number operations, comparing and ordering rational numbers, and applications of rational numbers.

—PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on fractions, click on this link.

The following section includes background information on rational numbers. Refer to this section as you view the videos, or as review material afterward.

Rational Expressions
Closed Captioned Video: Rational Numbers: Subtracting Rational Numbers Closed Captioned Video: Rational Numbers: Subtracting Rational Numbers Closed Captioned Video: Rational Numbers: Subtracting Rational Numbers

This is part of a collection of video tutorials on the topic of Rational Numbers. This includes defining rational numbers, rational number operations, comparing and ordering rational numbers, and applications of rational numbers.

—PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on fractions, click on this link.

The following section includes background information on rational numbers. Refer to this section as you view the videos, or as review material afterward.

Rational Expressions
Closed Captioned Video: Rational Numbers: Variable Expressions with Rational Numbers Closed Captioned Video: Rational Numbers: Variable Expressions with Rational Numbers Closed Captioned Video: Rational Numbers: Variable Expressions with Rational Numbers

This is part of a collection of video tutorials on the topic of Rational Numbers. This includes defining rational numbers, rational number operations, comparing and ordering rational numbers, and applications of rational numbers.

—PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on fractions, click on this link.

The following section includes background information on rational numbers. Refer to this section as you view the videos, or as review material afterward.

Rational Expressions
Closed Captioned Video: Rational Numbers: What Are Rational Numbers? Closed Captioned Video: Rational Numbers: What Are Rational Numbers? Closed Captioned Video: Rational Numbers: What Are Rational Numbers?

This is part of a collection of video tutorials on the topic of Rational Numbers. This includes defining rational numbers, rational number operations, comparing and ordering rational numbers, and applications of rational numbers.

—PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on fractions, click on this link.

The following section includes background information on rational numbers. Refer to this section as you view the videos, or as review material afterward.

Rational Expressions
Distance Formula. The equation used to find the distance between two points, given their coordinates. Definition--Geometry Basics--Distance Formula Distance Formula

Topic

Geometry Basics

Definition

The distance formula is used to determine the distance between two points in a coordinate plane.

Description

The distance formula is derived from the Pythagorean Theorem and is given by 

The Distance Formula
Definition--Theorems and Postulates--Converse of the Pythagorean Theorem Definition--Theorems and Postulates--Converse of the Pythagorean Theorem Definition--Theorems and Postulates--Converse of the Pythagorean Theorem

This is part of a collection of definitions of geometric theorems and postulates.

Right Triangles
Definition--Theorems and Postulates--HL Theorem Definition--Theorems and Postulates--HL Theorem Definition--Theorems and Postulates--HL Theorem

This is part of a collection of definitions of geometric theorems and postulates.

Right Triangles
Definition--Theorems and Postulates--Pythagorean Theorem Definition--Theorems and Postulates--Pythagorean Theorem Definition--Theorems and Postulates--Pythagorean Theorem

This is part of a collection of definitions of geometric theorems and postulates.

Right Triangles
INSTRUCTIONAL RESOURCE: Algebra Application: Accident Investigation INSTRUCTIONAL RESOURCE: Algebra Application: Accident Investigation INSTRUCTIONAL RESOURCE: Algebra Application: Accident Investigation

In this Algebra Application, students develop a quadratic mathematical model for calculating the speed of a car based on the length of its skid marks. Using this model, students investigate the corresponding parabola. The math topics covered include: Mathematical modeling, Quadratic functions in standard form, Square root formula, Data analysis. The culminating activity is for students to write a program, using either a spreadsheet or a computer language like Python, that can calculate the speed of a car, given the skid mark length and coefficient of friction as the two inputs.

Applications of Quadratic Functions and Quadratic Equations and Functions
INSTRUCTIONAL RESOURCE: Math Examples--Completing the Square INSTRUCTIONAL RESOURCE: Math Examples 2 INSTRUCTIONAL RESOURCE: Math Examples--Completing the Square

The complete set of 4 examples that make up this set of tutorials.

This is part of a collection of math examples for a variety of math topics. To see the complete collection of these resources, click on this link. Note: The download is a PPT file.

Library of Instructional Resources

To see the complete library of Instructional Resources , click on this link.

Quadratic Formula and Quadratic Equations and Functions
INSTRUCTIONAL RESOURCE: Math Examples--Quadratic Formula INSTRUCTIONAL RESOURCE: Math Examples 40 INSTRUCTIONAL RESOURCE: Math Examples--Quadratic Formula

The complete set of 12 examples that make up this set of tutorials.

This is part of a collection of math examples for a variety of math topics. To see the complete collection of these resources, click on this link. Note: The download is a PPT file.

Library of Instructional Resources

To see the complete library of Instructional Resources , click on this link.

Quadratic Equations and Functions and Quadratic Formula
INSTRUCTIONAL RESOURCE: Math Examples--Right Triangles INSTRUCTIONAL RESOURCE: Math Examples 46 INSTRUCTIONAL RESOURCE: Math Examples--Right Triangles

This set of tutorials provides 26 examples of how to find the length of a side of a triangle using given angle or side measurements.

This is part of a collection of math examples for a variety of math topics. To see the complete collection of these resources, click on this link. Note: The download is a PPT file.

Library of Instructional Resources

To see the complete library of Instructional Resources , click on this link.

Right Triangles
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Constructing an Isosceles Triangle INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Constructing an Isosceles Triangle

In this Slide Show, we show how to construct an isosceles triangle. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

Definition of a Triangle and Geometric Constructions with Triangles
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Quadratic Formula Template INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Quadratic Formula Template

In this Slide Show, learn how to program a function for solving quadratic equations. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

Quadratic Formula
INSTRUCTIONAL RESOURCE: Pumpkin PI INSTRUCTIONAL RESOURCE: Pumpkin PI

In this Slide Show, do a hands-on geometry activity to measure π. Note: The download is a PPT file.

Ratios and Rates
INSTRUCTIONAL RESOURCE: Tutorial: Solving Quadratic Equations by Completing the Square INSTRUCTIONAL RESOURCE: Tutorial: Solving Quadratic Equations by Completing the Square INSTRUCTIONAL RESOURCE: Tutorial: Solving Quadratic Equations by Completing the Square

In this Slide Show, learn how to solve a quadratic equation by completing the square.

This is part of a collection of tutorials on a variety of math topics. To see the complete collection of these resources, click on this link. Note: The download is a PPT file.

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Library of Instructional Resources

To see the complete library of Instructional Resources , click on this link.

Quadratic Formula and Quadratic Equations and Functions
INSTRUCTIONAL RESOURCE: TI-Nspire App Activity: Constructing an Isosceles Triangle INSTRUCTIONAL RESOURCE: TI-Nspire App Activity: Constructing an Isosceles Triangle

In this Slide Show, learn how to use the TI-Nspire App to construct an isosceles triangle. Note: The download is a PPT file.

Definition of a Triangle and Geometric Constructions with Triangles
Interactive Crossword Puzzle--Quadrilaterals Interactive Crossword Puzzle--Quadrilaterals Interactive Crossword Puzzle--Quadrilaterals

This interactive crossword puzzle tests knowledge of key terms on the topic of quadrilaterals.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Definition of a Quadrilateral
Interactive Crossword Puzzle--Triangles Interactive Crossword Puzzle--Triangles Interactive Crossword Puzzle--Triangles

This interactive crossword puzzle tests knowledge of key terms on the topic of triangles.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Definition of a Triangle
Math Example--Coordinate Geometry--Distance Formula: Example 1 Math Example--Coordinate Geometry--Distance Formula: Example 1 Math Example--Coordinate Geometry--Distance Formula: Example 1

Topic

Geometry

Description

This example demonstrates the application of the distance formula to find the distance between two points on a coordinate plane. The points (3, 3) and (7, 6) are plotted on a graph, and the distance between them is calculated using the formula: √((6 - 3)2 + (7 - 3)2) = 5.

The Distance Formula
Math Example--Coordinate Geometry--Distance Formula: Example 10 Math Example--Coordinate Geometry--Distance Formula: Example 10 Math Example--Coordinate Geometry--Distance Formula: Example 10

Topic

Geometry

Description

This example illustrates the use of the distance formula to calculate the distance between two points on a coordinate plane. The points (1, 6) and (10, -3) are plotted on a graph, and the distance between them is determined using the formula: √((1 - 10)2 + (6 - (-3))2) = √(9^2 + 9^2) = √162 = 9√2.

The Distance Formula
Math Example--Coordinate Geometry--Distance Formula: Example 11 Math Example--Coordinate Geometry--Distance Formula: Example 11 Math Example--Coordinate Geometry--Distance Formula: Example 11

Topic

Geometry

Description

This example demonstrates the application of the distance formula to find the vertical distance between two points on a coordinate plane. The points (5, 6) and (5, -8) are plotted on a graph, and the distance between them is calculated using the formula: √((5 - 5)2 + (6 - (-8))2) = √(0 + (14)2) = 14.

The Distance Formula
Math Example--Coordinate Geometry--Distance Formula: Example 12 Math Example--Coordinate Geometry--Distance Formula: Example 12 Math Example--Coordinate Geometry--Distance Formula: Example 12

Topic

Geometry

Description

This example illustrates the use of the distance formula to calculate the distance between two points on a coordinate plane. The points (-8, -2) and (-2, 6) are plotted on a graph, and the distance between them is determined using the formula: √((-8 - (-2))2 + (-2 - 6)2) = √((-6)2 + (-8)2) = 10.

The Distance Formula
Math Example--Coordinate Geometry--Distance Formula: Example 13 Math Example--Coordinate Geometry--Distance Formula: Example 13 Math Example--Coordinate Geometry--Distance Formula: Example 13

Topic

Geometry

Description

This example demonstrates the application of the distance formula to find the distance between two points on a coordinate plane. The points (-10, 6) and (-1, -1) are plotted on a graph, and the distance between them is calculated using the formula: √((-10 - (-1))2 + (6 - (-1))2) = √((-9)2 + 72) = √130.

The Distance Formula
Math Example--Coordinate Geometry--Distance Formula: Example 14 Math Example--Coordinate Geometry--Distance Formula: Example 14 Math Example--Coordinate Geometry--Distance Formula: Example 14

Topic

Geometry

Description

This example illustrates the use of the distance formula to calculate the vertical distance between two points on a coordinate plane. The points (-5, 6) and (-5, -4) are plotted on a graph, and the distance between them is determined using the formula: √((-5 - (-5))2 + (6 - (-4))2) = √(0 + 102) = 10.

The Distance Formula
Math Example--Coordinate Geometry--Distance Formula: Example 15 Math Example--Coordinate Geometry--Distance Formula: Example 15 Math Example--Coordinate Geometry--Distance Formula: Example 15

Topic

Geometry

Description

This example demonstrates the application of the distance formula to find the distance between two points on a coordinate plane. The points (-6, -9) and (6, -4) are plotted on a graph, and the distance between them is calculated using the formula: √((6 - (-6))2 + (-4 - (-9))2) = √(122 + 52) = 13.

The Distance Formula
Math Example--Coordinate Geometry--Distance Formula: Example 16 Math Example--Coordinate Geometry--Distance Formula: Example 16 Math Example--Coordinate Geometry--Distance Formula: Example 16

Topic

Geometry

Description

This example illustrates the use of the distance formula to calculate the distance between two points on a coordinate plane. The points (-1, -2) and (9, -10) are plotted on a graph, and the distance between them is determined using the formula: √((-1 - 9)2 + (-2 - (-10))2) = √((-10)2 + 82) = 2√41.

The Distance Formula