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.

Title	Body	Curriculum Nodes
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
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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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
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) 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). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link. 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) 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). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link. 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) 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). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link. 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) 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). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link. 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) 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). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link. 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) 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). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link. ary">click on this link.	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 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 To see the complete collection of video transcriptsy, click on this link.	Distance Formula
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
Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 01	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 01 This is part of a collection of math worksheets on the topic of the distance formula. 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.	Distance Formula and The Distance Formula
Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 01	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 01 This is part of a collection of math worksheets on the topic of the distance formula. 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.	Distance Formula and The Distance Formula
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. 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.	Distance Formula and The Distance Formula
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. 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.	Distance Formula and The Distance Formula
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. 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.	Distance Formula and The Distance Formula

Illustrative Math Alignment: Grade 6 Unit 7

Rational Numbers

Lesson 14: Distances on a Coordinate Plane

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