Illustrative Math Alignment: Grade 6 Unit 7

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.

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.

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.

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.

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.

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.

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.

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.

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.

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Video Transcripts

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.

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.

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.

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.

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.

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.

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.

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

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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

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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.

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.

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.

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.

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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.

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.

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.

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.

Topic

Geometry Concepts

Description

This image depicts points plotted on a coordinate grid in the third quadrant (Q3). In Q3, both x and y coordinates are negative, which is essential for understanding the complete Cartesian coordinate system. Connecting these points would result in a parallelogram.

Plotting points in different quadrants helps students understand the concept of negative values and their implications in geometry. It is crucial for graphing functions, analyzing data, and exploring geometric transformations.

Topic

Geometry Concepts

Description

This image illustrates points plotted on a coordinate grid in the fourth quadrant (Q4). In Q4, the x-coordinates are positive while the y-coordinates are negative, completing the understanding of the Cartesian plane. 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 functions, analyzing data, and exploring geometric transformations.