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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 6 Unit 7

Rational Numbers

Lesson 14: Distances on a Coordinate Plane

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Nodes
Closed Captioned Video: TI-Nspire Mini-Tutorial: Creating a Distance Formula Template Closed Captioned Video: Distance Formula Template Closed Captioned Video: Distance Formula Template

In this TI Nspire tutorial for the TI-Nspire CAS, the Calculator Window is used to create a function to calculate the distance formula. This video supports the TI-Nspire Clickpad and Touchpad. This Mini-Tutorial Video includes a worksheet. .

Distance Formula
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
INSTRUCTIONAL RESOURCE: Math Examples--Distance Formula INSTRUCTIONAL RESOURCE: Math Examples 9 INSTRUCTIONAL RESOURCE: Math Examples--Distance Formula

The complete set of 21 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.

Distance Formula and The Distance Formula
INSTRUCTIONAL RESOURCE: Math Examples--Distance Formula INSTRUCTIONAL RESOURCE: Math Examples 9 INSTRUCTIONAL RESOURCE: Math Examples--Distance Formula

The complete set of 21 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.

Distance Formula and The Distance Formula
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
Math Example--Coordinate Geometry--Distance Formula: Example 17 Math Example--Coordinate Geometry--Distance Formula: Example 17 Math Example--Coordinate Geometry--Distance Formula: Example 17

Topic

Geometry

Description

This example demonstrates the application of the distance formula to find the horizontal distance between two points on a coordinate plane. The points (-2, -7) and (3, -7) are plotted on a graph, and the distance between them is calculated using the formula: √((-2 - 3)2 + (-7 + 7)2) = √((-5)2 + 0) = 5.

The Distance Formula
Math Example--Coordinate Geometry--Distance Formula: Example 18 Math Example--Coordinate Geometry--Distance Formula: Example 18 Math Example--Coordinate Geometry--Distance Formula: Example 18

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 (-4, 0) and (0, 3) are plotted on a graph, and the distance between them is determined using the formula: √((4 - 0)2 + (0 - 3)2) = √(16 + 9) = 5.

The Distance Formula
Math Example--Coordinate Geometry--Distance Formula: Example 19 Math Example--Coordinate Geometry--Distance Formula: Example 19 Math Example--Coordinate Geometry--Distance Formula: Example 19

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 (0, 6) and (1, 0) are plotted on a graph, and the distance between them is calculated using the formula: √((0 - 1)2 + (6 - 0)2) = √(1 + 36) = √37.

The Distance Formula
Math Example--Coordinate Geometry--Distance Formula: Example 2 Math Example--Coordinate Geometry--Distance Formula: Example 2 Math Example--Coordinate Geometry--Distance Formula: Example 2

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 (3, 7) and (9, 2) are plotted on a graph, and the distance between them is determined using the formula: √((9 - 3)2 + (2 - 7)2) = √(61).

The Distance Formula
Math Example--Coordinate Geometry--Distance Formula: Example 20 Math Example--Coordinate Geometry--Distance Formula: Example 20 Math Example--Coordinate Geometry--Distance Formula: Example 20

Topic

Geometry

Description

This example illustrates the use of the distance formula to calculate the horizontal distance between two points on a coordinate plane. The points (0, 0) and (8, 0) are plotted on a graph, and the distance between them is determined using the formula: √((0 - 8)2 + (0 - 0)2) = √64 = 8.

The Distance Formula
Math Example--Coordinate Geometry--Distance Formula: Example 21 Math Example--Coordinate Geometry--Distance Formula: Example 21 Math Example--Coordinate Geometry--Distance Formula: Example 21

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 (0, 0) and (0, 6) are plotted on a graph, and the distance between them is calculated using the formula: √((0 - 0)2 + (0 - 6)2) = √(0 + (-6)2) = 6.

The Distance Formula
Math Example--Coordinate Geometry--Distance Formula: Example 3 Math Example--Coordinate Geometry--Distance Formula: Example 3 Math Example--Coordinate Geometry--Distance Formula: Example 3

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 (2, 4) and (9, 4) are plotted on a graph, and the distance between them is calculated using the formula: √((9 - 2)2 + (4 - 4)2) = 7.

The Distance Formula
Math Example--Coordinate Geometry--Distance Formula: Example 4 Math Example--Coordinate Geometry--Distance Formula: Example 4 Math Example--Coordinate Geometry--Distance Formula: Example 4

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, 8) and (5, 2) are plotted on a graph, and the distance between them is determined using the formula: √((5 - 5)2 + (8 - 2)2) = 6.

The Distance Formula
Math Example--Coordinate Geometry--Distance Formula: Example 5 Math Example--Coordinate Geometry--Distance Formula: Example 5 Math Example--Coordinate Geometry--Distance Formula: Example 5

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 (-2, 11) and (6, 5) are plotted on a graph, and the distance between them is calculated using the formula: √((-2 - 6)2 + (11 - 5)2) = 10.

The Distance Formula
Math Example--Coordinate Geometry--Distance Formula: Example 6 Math Example--Coordinate Geometry--Distance Formula: Example 6 Math Example--Coordinate Geometry--Distance Formula: Example 6

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 (-4, 8) and (6, 2) are plotted on a graph, and the distance between them is determined using the formula: √((-4 - 6)2 + (8 - 2)2) = 2 √(34).

The Distance Formula
Math Example--Coordinate Geometry--Distance Formula: Example 7 Math Example--Coordinate Geometry--Distance Formula: Example 7 Math Example--Coordinate Geometry--Distance Formula: Example 7

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 (-4, 3) and (2, 3) are plotted on a graph, and the distance between them is calculated using the formula: √((-4 - 2)2 + (3 - 3)2) = 6.

The Distance Formula
Math Example--Coordinate Geometry--Distance Formula: Example 8 Math Example--Coordinate Geometry--Distance Formula: Example 8 Math Example--Coordinate Geometry--Distance Formula: Example 8

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 (-6, -3) and (6, 2) are plotted on a graph, and the distance between them is determined using the formula: √((-6 - 6)2 + (-3 - 2)2) = 13.

The Distance Formula
Math Example--Coordinate Geometry--Distance Formula: Example 9 Math Example--Coordinate Geometry--Distance Formula: Example 9 Math Example--Coordinate Geometry--Distance Formula: Example 9

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 (9, 6) and (5, -1.5) are plotted on a graph, and the distance between them is calculated using the formula: √((9 - 5)2 + (6 - (-1.5))2) = √(4^2 + 7.5^2) = √72.25 = 8.5.

The Distance Formula
MATH EXAMPLES--Teacher's Guide: The Distance Formula MATH EXAMPLES--Teacher's Guide: The Distance Formula MATH EXAMPLES--Teacher's Guide: The Distance Formula

This Teacher's Guide provides an overview of the 21 worked-out examples that use the Distance Formula for finding the distance between two points, given the coordinates.

This is part of a collection of teacher's guides. To see the complete collection of teacher's guides, click on this link. Note: The download is a PDF file.

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Distance Formula and The Distance Formula
MATH EXAMPLES--Teacher's Guide: The Distance Formula MATH EXAMPLES--Teacher's Guide: The Distance Formula MATH EXAMPLES--Teacher's Guide: The Distance Formula

This Teacher's Guide provides an overview of the 21 worked-out examples that use the Distance Formula for finding the distance between two points, given the coordinates.

This is part of a collection of teacher's guides. To see the complete collection of teacher's guides, click on this link. Note: The download is a PDF file.

Related Resources

To see resources related to this topic click on the Related Resources tab above.

Distance Formula and The Distance Formula
Paper-and-Pencil Quiz: Distance Formula (Easy) Paper-and-Pencil Quiz: Distance Formula (Easy) Paper-and-Pencil Quiz: Distance Formula (Easy)

This is part of a collection of math quizzes on the topic of the distance formula.

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ary">click on this link.

Distance Formula and The Distance Formula
Paper-and-Pencil Quiz: Distance Formula (Easy) Paper-and-Pencil Quiz: Distance Formula (Easy) Paper-and-Pencil Quiz: Distance Formula (Easy)

This is part of a collection of math quizzes on the topic of the distance formula.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

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ary">click on this link.

Distance Formula and The Distance Formula
Paper-and-Pencil Quiz: Distance Formula (Hard) Paper-and-Pencil Quiz: Distance Formula (Hard) Paper-and-Pencil Quiz: Distance Formula (Hard)

This is part of a collection of math quizzes on the topic of the distance formula.

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ary">click on this link.

Distance Formula and The Distance Formula
Paper-and-Pencil Quiz: Distance Formula (Hard) Paper-and-Pencil Quiz: Distance Formula (Hard) Paper-and-Pencil Quiz: Distance Formula (Hard)

This is part of a collection of math quizzes on the topic of the distance formula.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

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ary">click on this link.

Distance Formula and The Distance Formula
Paper-and-Pencil Quiz: Distance Formula (Medium) Paper-and-Pencil Quiz: Distance Formula (Medium) Paper-and-Pencil Quiz: Distance Formula (Medium)

This is part of a collection of math quizzes on the topic of the distance formula.

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ary">click on this link.

Distance Formula and The Distance Formula
Paper-and-Pencil Quiz: Distance Formula (Medium) Paper-and-Pencil Quiz: Distance Formula (Medium) Paper-and-Pencil Quiz: Distance Formula (Medium)

This is part of a collection of math quizzes on the topic of the distance formula.

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Distance Formula and The Distance Formula
Video Transcript: TI-Nspire Mini-Tutorial: Creating a Distance Formula Template Video Transcript: TI-Nspire Mini-Tutorial: Creating a Distance Formula Template Video Transcript: TI-Nspire Mini-Tutorial: Creating a Distance Formula Template

This is the transcript for the TI-Nspire Mini-Tutorial entitled, Creating a Distance Formula Template.

This is part of a collection of video transcripts for the video tutorial series on using the TI-Nspire Graphing Calculator. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

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Distance Formula
VIDEO: TI-Nspire Mini-Tutorial: Creating a Distance Formula Template VIDEO: Ti-Nspire Mini-Tutorial, Video 53 VIDEO: TI-Nspire Mini-Tutorial: Creating a Distance Formula Template

In this TI Nspire tutorial for the TI-Nspire CAS, the Calculator Window is used to create a function to calculate the distance formula. This video supports the TI-Nspire Clickpad and Touchpad.

Distance Formula
WorksheetThumbnail.jpg Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 01 Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 01

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Distance Formula and The Distance Formula
WorksheetThumbnail.jpg Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 01 Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 01

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Distance Formula and The Distance Formula
WorksheetThumbnail.jpg Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 02 Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 02

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Distance Formula and The Distance Formula
WorksheetThumbnail.jpg Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 02 Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 02

This is part of a collection of math worksheets on the topic of the distance formula.

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Distance Formula and The Distance Formula
WorksheetThumbnail.jpg Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 03 Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 03

This is part of a collection of math worksheets on the topic of the distance formula.

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Distance Formula and The Distance Formula
WorksheetThumbnail.jpg Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 03 Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 03

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Distance Formula and The Distance Formula
WorksheetThumbnail.jpg Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 04 Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 04

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Distance Formula and The Distance Formula
WorksheetThumbnail.jpg Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 04 Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 04

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Distance Formula and The Distance Formula
WorksheetThumbnail.jpg Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 05 Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 05

This is part of a collection of math worksheets on the topic of the distance formula.

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Distance Formula and The Distance Formula
WorksheetThumbnail.jpg Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 05 Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 05

This is part of a collection of math worksheets on the topic of the distance formula.

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Distance Formula and The Distance Formula
WorksheetThumbnail.jpg Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 06 Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 06

This is part of a collection of math worksheets on the topic of the distance formula.

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Distance Formula and The Distance Formula
WorksheetThumbnail.jpg Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 06 Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 06

This is part of a collection of math worksheets on the topic of the distance formula.

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Distance Formula and The Distance Formula
WorksheetThumbnail.jpg Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 07 Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 07

This is part of a collection of math worksheets on the topic of the distance formula.

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Distance Formula and The Distance Formula
WorksheetThumbnail.jpg Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 07 Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 07

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Distance Formula and The Distance Formula
WorksheetThumbnail.jpg Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 08 Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 08

This is part of a collection of math worksheets on the topic of the distance formula.

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Distance Formula and The Distance Formula