Illustrative Math Alignment: Grade 6 Unit 7

Rational Numbers

Lesson 15: Shapes on the Coordinate Plane

Use the following Media4Math resources with this Illustrative Math lesson.

Title	Body	Curriculum Nodes
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
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 (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
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 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
Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 04	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 04 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 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. 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 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. 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 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. 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 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. 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 09	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 09 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 10	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 10 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 11	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 11 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 12	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 12 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 13	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 13 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 14	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 14 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 15	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 15 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 16	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 16 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 17	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 17 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 18	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 18 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 19	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 19 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 15: Shapes on the Coordinate Plane

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