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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 6 Unit 7

Rational Numbers

Lesson 12: Constructing the Coordinate Plane

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Nodes
Closed Captioned Video: Geometry Applications: Coordinate Geometry Closed Captioned Video: Geometry Applications: Coordinate Geometry Closed Captioned Video: Geometry Applications: Coordinate Geometry

In this program we look at applications of coordinate geometry. We do this in the context of three real-world applications. In the first, we look at longitude and latitude as a spherical coordinate system for navigation. In the second application we look at decimal values for longitude and latitude in a two-dimensional system for locating buried treasure at sea. In the third application we look at polar coordinates in the context of Frank Lloyd Wright's design for the Guggenheim Museum.

Applications of Coordinate Geometry and Coordinate Systems
Closed Captioned Video: Geometry Applications: Coordinate Geometry Closed Captioned Video: Geometry Applications: Coordinate Geometry Closed Captioned Video: Geometry Applications: Coordinate Geometry

In this program we look at applications of coordinate geometry. We do this in the context of three real-world applications. In the first, we look at longitude and latitude as a spherical coordinate system for navigation. In the second application we look at decimal values for longitude and latitude in a two-dimensional system for locating buried treasure at sea. In the third application we look at polar coordinates in the context of Frank Lloyd Wright's design for the Guggenheim Museum.

Applications of Coordinate Geometry and Coordinate Systems
Closed Captioned Video: Geometry Applications: Coordinate Geometry, Segment 1: Longitude and Latitude. Closed Captioned Video: Geometry Applications: Coordinate Geometry, 1 Closed Captioned Video: Geometry Applications: Coordinate Geometry, Segment 1: Longitude and Latitude.

Greenwich, England, is the location of the Prime Meridian and offers a point of departure for a discussion of the longitude and latitude coordinate system.

Applications of Coordinate Geometry and Coordinate Systems
Closed Captioned Video: Geometry Applications: Coordinate Geometry, Segment 1: Longitude and Latitude. Closed Captioned Video: Geometry Applications: Coordinate Geometry, 1 Closed Captioned Video: Geometry Applications: Coordinate Geometry, Segment 1: Longitude and Latitude.

Greenwich, England, is the location of the Prime Meridian and offers a point of departure for a discussion of the longitude and latitude coordinate system.

Applications of Coordinate Geometry and Coordinate Systems
Closed Captioned Video: Geometry Applications: Coordinate Geometry, Segment 2: Rectangular Coordinates. Closed Captioned Video: Geometry Applications: Coordinate Geometry, 2 Closed Captioned Video: Geometry Applications: Coordinate Geometry, Segment 2: Rectangular Coordinates.

Centuries ago a Spanish galleon, The Atocha, sank off the coast of Florida, taking its gold treasure down with it. Aside from the technology used to recover the treasure, it was a rectangular coordinate system that made such an endeavor possible.

Applications of Coordinate Geometry and Coordinate Systems
Closed Captioned Video: Geometry Applications: Coordinate Geometry, Segment 2: Rectangular Coordinates. Closed Captioned Video: Geometry Applications: Coordinate Geometry, 2 Closed Captioned Video: Geometry Applications: Coordinate Geometry, Segment 2: Rectangular Coordinates.

Centuries ago a Spanish galleon, The Atocha, sank off the coast of Florida, taking its gold treasure down with it. Aside from the technology used to recover the treasure, it was a rectangular coordinate system that made such an endeavor possible.

Applications of Coordinate Geometry and Coordinate Systems
Closed Captioned Video: Geometry Applications: Coordinate Geometry, Segment 3: Polar Coordinates. Closed Captioned Video: Geometry Applications: Coordinate Geometry, 3 Closed Captioned Video: Geometry Applications: Coordinate Geometry, Segment 3: Polar Coordinates.

The Guggenheim Museum in New York City has a spiral shape that is an example of a polar coordinate graph. This shape, found often in nature, is a way to understand the Fibonacci Sequence.

Applications of Coordinate Geometry and Coordinate Systems
Closed Captioned Video: Geometry Applications: Coordinate Geometry, Segment 3: Polar Coordinates. Closed Captioned Video: Geometry Applications: Coordinate Geometry, 3 Closed Captioned Video: Geometry Applications: Coordinate Geometry, Segment 3: Polar Coordinates.

The Guggenheim Museum in New York City has a spiral shape that is an example of a polar coordinate graph. This shape, found often in nature, is a way to understand the Fibonacci Sequence.

Applications of Coordinate Geometry and Coordinate Systems
Closed Captioned Video: TI-Nspire Mini-Tutorial: Using the Coordinate TRACE Feature Closed Captioned Video: Using the Coordinate TRACE Feature Closed Captioned Video: Using the Coordinate TRACE Feature

In this TI Nspire tutorial, the coordinate Trace feature is described and used. This video supports the TI-Nspire Clickpad and Touchpad. This Mini-Tutorial Video includes a worksheet.

This is part of a collection of closed captioned videos on various math topics. To see the complete collection of the videos, click on this link. Note: The download is Media4Math's guide to closed captioned videos.

Related Resources

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

Video Transcripts

This video has a transcript available. To see the complete collection of video transcripts, click on this link.
Coordinate Systems
Definition--Coordinate Systems--Cartesian Coordinate System Definition--Coordinate Systems--Cartesian Coordinate System Definition--Coordinate Systems--Cartesian Coordinate System

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

Coordinate Systems
Definition--Coordinate Systems--Cartesian Coordinates Definition--Coordinate Systems--Cartesian Coordinates Definition--Coordinate Systems--Cartesian Coordinates

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

Coordinate Systems
Definition--Coordinate Systems--Circular Grid Definition--Coordinate Systems--Circular Grid Definition--Coordinate Systems--Circular Grid

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

Coordinate Systems
Definition--Coordinate Systems--Complex Coordinate System Definition--Coordinate Systems--Complex Coordinate System Definition--Coordinate Systems--Complex Coordinate System

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

Coordinate Systems
Definition--Coordinate Systems--Coordinate Dilations Definition--Coordinate Systems--Coordinate Dilations Definition--Coordinate Systems--Coordinate Dilations

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

Coordinate Systems
Definition--Coordinate Systems--Coordinate Transformations Definition--Coordinate Systems--Coordinate Transformations Definition--Coordinate Systems--Coordinate Transformations

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

Coordinate Systems
Definition--Coordinate Systems--Coordinates Definition--Coordinate Systems--Coordinates Definition | Coordinate Systems | Coordinates

This is part of a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

—PRESS PREVIEW TO SEE THE DEFINITION— To see the complete collection of definitions, click on this link.

The following section includes background information on the Cartesian coordinate plane.

Coordinate Systems
Definition--Coordinate Systems--Distance Formula Definition--Coordinate Systems--Distance Formula Definition--Coordinate Systems--Distance Formula

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

Coordinate Systems
Definition--Coordinate Systems--Horizontal Axis Definition--Coordinate Systems--Horizontal Axis Definition--Coordinate Systems--Horizontal Axis

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

Coordinate Systems
Definition--Coordinate Systems--Logarithmic Scale Definition--Coordinate Systems--Logarithmic Scale Definition--Coordinate Systems--Logarithmic Scale

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

Coordinate Systems
Definition--Coordinate Systems--Midpoint Formula Definition--Coordinate Systems--Midpoint Formula Definition--Coordinate Systems--Midpoint Formula

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

Coordinate Systems
Definition--Coordinate Systems--One-Dimensional Coordinate Systems Definition--Coordinate Systems--One-Dimensional Coordinate Systems Definition--Coordinate Systems--One-Dimensional Coordinate Systems

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

Coordinate Systems
Definition--Coordinate Systems--Ordered Pair Definition--Coordinate Systems--Ordered Pair Definition--Coordinate Systems--Ordered Pair

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

Coordinate Systems
Definition--Coordinate Systems--Origin Definition--Coordinate Systems--Origin Definition--Coordinate Systems--Origin

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

Coordinate Systems
Definition--Coordinate Systems--Polar Coordinate System Definition--Coordinate Systems--Polar Coordinate System Definition--Coordinate Systems--Polar Coordinate System

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

Coordinate Systems
Definition--Coordinate Systems--Polar Coordinates Definition--Coordinate Systems--Polar Coordinates Definition--Coordinate Systems--Polar Coordinates

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

Coordinate Systems
Definition--Coordinate Systems--Quadrants Definition--Coordinate Systems--Quadrants Definition--Coordinate Systems--Quadrants

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

Coordinate Systems
Definition--Coordinate Systems--Radial Grid Definition--Coordinate Systems--Radial Grid Definition--Coordinate Systems--Radial Grid

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

Coordinate Systems
Definition--Coordinate Systems--Rectangular Coordinate System Definition--Coordinate Systems--Rectangular Coordinate System Definition | Coordinate Systems | Rectangular Coordinate System

This is part of a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

—PRESS PREVIEW TO SEE THE DEFINITION— To see the complete collection of definitions, click on this link.

The following section includes background information on the Cartesian coordinate plane.

Coordinate Systems
Definition--Coordinate Systems--Rectangular Grid Definition--Coordinate Systems--Rectangular Grid Definition--Coordinate Systems--Rectangular Grid

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

Coordinate Systems
Definition--Coordinate Systems--Three-Dimensional Coordinate Systems Definition--Coordinate Systems--Three-Dimensional Coordinate Systems Definition--Coordinate Systems--Three-Dimensional Coordinate Systems

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

Coordinate Systems
Definition--Coordinate Systems--Two-Dimensional Coordinate Systems Definition--Coordinate Systems--Two-Dimensional Coordinate Systems Definition--Coordinate Systems--Two-Dimensional Coordinate Systems

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

Coordinate Systems
Definition--Coordinate Systems--Vector Definition--Coordinate Systems--Vector Definition--Coordinate Systems--Vector

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

Coordinate Systems
Definition--Coordinate Systems--Vertical Axis Definition--Coordinate Systems--Vertical Axis Definition--Coordinate Systems--Vertical Axis

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

Coordinate Systems
Definition--Coordinate Systems--x-axis Definition--Coordinate Systems--x-axis Definition--Coordinate Systems--x-axis

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

Coordinate Systems
Definition--Coordinate Systems--x-coordinate Definition--Coordinate Systems--x-coordinate Definition--Coordinate Systems--x-coordinate

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

Coordinate Systems
Definition--Coordinate Systems--x-intercept Definition--Coordinate Systems--x-intercept Definition--Coordinate Systems--x-intercept

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

Coordinate Systems
Definition--Coordinate Systems--y-axis Definition--Coordinate Systems--y-axis Definition--Coordinate Systems--y-axis

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

Coordinate Systems
Definition--Coordinate Systems--y-coordinate Definition--Coordinate Systems--y-coordinate Definition--Coordinate Systems--y-coordinate

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

Coordinate Systems
Definition--Coordinate Systems--y-intercept Definition--Coordinate Systems--y-intercept Definition--Coordinate Systems--y-intercept

This is a collection of definitions related to coordinate systems and related topics. This includes general definitions for coordinate systems, as well as examples of specific coordinate systems and properties of those systems.

Coordinate Systems
Geometry Applications Teachers Guide: Coordinate Geometry Geometry Applications Teachers Guide: Coordinate Geometry Geometry Applications Teachers Guide: Coordinate Geometry

This is the Teacher's Guide that accompanies Geometry Applications: Coordinate Geometry.

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.

Applications of Coordinate Geometry
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: The Fibonacci Sequence INSTRUCTIONAL RESOURCE: Nspire App Tutorial: The Fibonacci Sequence

In this Slide Show, we show how to generate the Fibonacci Sequence, as well as show to graph it. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

Applications of Coordinate Geometry, Coordinate Systems and Sequences
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: The Fibonacci Sequence INSTRUCTIONAL RESOURCE: Nspire App Tutorial: The Fibonacci Sequence

In this Slide Show, we show how to generate the Fibonacci Sequence, as well as show to graph it. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

Applications of Coordinate Geometry, Coordinate Systems and Sequences
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: The Fibonacci Sequence INSTRUCTIONAL RESOURCE: Nspire App Tutorial: The Fibonacci Sequence

In this Slide Show, we show how to generate the Fibonacci Sequence, as well as show to graph it. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

Applications of Coordinate Geometry, Coordinate Systems and Sequences
Interactive Math Game--Coordinated Attack! Interactive Math Game--Coordinated Attack! Interactive Math Game--Coordinated Attack!

Use this math game to review coordinate geometry. UFOs appear on a coordinate grid and the goal is to target them using their location on the grid. Students earn 50 points with a direct hit, but lose 20 with a miss. The game keeps track of their score. Students can play endless rounds of this engaging game.

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.
Coordinate Systems
Math Clip Art--Geometry Concepts--Coordinate Geometry--Coordinate Grid Math Clip Art--Geometry Concepts--Coordinate Geometry--Coordinate Grid Math Clip Art--Coordinate Geometry--Coordinate Grid

Topic

Geometry Concepts

Description

This image depicts a coordinate grid, a fundamental tool in coordinate geometry used to plot points, lines, and shapes. The grid consists of horizontal and vertical lines that intersect at right angles, creating a series of squares.

Coordinate grids are essential for understanding the Cartesian coordinate system, where each point is defined by an ordered pair of numbers (x, y). This system is used in various fields, including mathematics, physics, engineering, and computer graphics, to represent and analyze spatial relationships.

Exploring Coordinate Systems and Coordinate Systems
Math Clip Art--Geometry Concepts--Coordinate Geometry--Coordinate Grid Math Clip Art--Geometry Concepts--Coordinate Geometry--Coordinate Grid Math Clip Art--Coordinate Geometry--Coordinate Grid

Topic

Geometry Concepts

Description

This image depicts a coordinate grid, a fundamental tool in coordinate geometry used to plot points, lines, and shapes. The grid consists of horizontal and vertical lines that intersect at right angles, creating a series of squares.

Coordinate grids are essential for understanding the Cartesian coordinate system, where each point is defined by an ordered pair of numbers (x, y). This system is used in various fields, including mathematics, physics, engineering, and computer graphics, to represent and analyze spatial relationships.

Exploring Coordinate Systems and Coordinate Systems
Math Clip Art--Geometry Concepts--Coordinate Geometry--Coordinate Grid--Blank Math Clip Art--Geometry Concepts--Coordinate Geometry--Coordinate Grid--Blank Math Clip Art--Coordinate Geometry--Coordinate Grid--Blank

Topic

Geometry Concepts

Description

This image shows a blank coordinate grid, which serves as a versatile tool for plotting points, lines, and shapes in coordinate geometry. The grid provides a structured framework for visualizing mathematical concepts and relationships.

Blank coordinate grids are commonly used in educational settings to teach students about graphing, transformations, and spatial reasoning. They allow for hands-on exploration of mathematical ideas and are essential for developing a deep understanding of the Cartesian coordinate system.

Exploring Coordinate Systems and Coordinate Systems
Math Clip Art--Geometry Concepts--Coordinate Geometry--Coordinate Grid--Blank Math Clip Art--Geometry Concepts--Coordinate Geometry--Coordinate Grid--Blank Math Clip Art--Coordinate Geometry--Coordinate Grid--Blank

Topic

Geometry Concepts

Description

This image shows a blank coordinate grid, which serves as a versatile tool for plotting points, lines, and shapes in coordinate geometry. The grid provides a structured framework for visualizing mathematical concepts and relationships.

Blank coordinate grids are commonly used in educational settings to teach students about graphing, transformations, and spatial reasoning. They allow for hands-on exploration of mathematical ideas and are essential for developing a deep understanding of the Cartesian coordinate system.

Exploring Coordinate Systems and Coordinate Systems
Math Clip Art--Geometry Concepts--Coordinate Geometry--Points on Coordinate Grid--Q1 Math Clip Art--Geometry Concepts--Coordinate Geometry--Points on Coordinate Grid--Q1 Math Clip Art--Coordinate Geometry--Points on Coordinate Grid--Q1

Topic

Geometry Concepts

Description

This image illustrates points plotted on a coordinate grid in the first quadrant (Q1). In Q1, both x and y coordinates are positive, making it a key area for graphing and analyzing functions. Connecting these points would result in a parallelogram.

Understanding how to plot points in different quadrants is fundamental in coordinate geometry. It helps students develop skills in graphing linear equations, analyzing functions, and exploring geometric transformations.

Applications of Coordinate Geometry, Coordinate Systems and Applications of Points and Lines
Math Clip Art--Geometry Concepts--Coordinate Geometry--Points on Coordinate Grid--Q2 Math Clip Art--Geometry Concepts--Coordinate Geometry--Points on Coordinate Grid--Q2 Math Clip Art--Coordinate Geometry--Points on Coordinate Grid--Q2

Topic

Geometry Concepts

Description

This image shows points plotted on a coordinate grid in the second quadrant (Q2). In Q2, the x-coordinates are negative while the y-coordinates are positive, which is important for understanding the full Cartesian plane. Connecting these points would result in a parallelogram.

Plotting points in different quadrants helps students grasp the concept of negative and positive values in coordinate geometry. It is crucial for graphing functions, analyzing data, and understanding geometric transformations.

Applications of Coordinate Geometry, Coordinate Systems and Applications of Points and Lines