NYS

These are the resources that support this NYS Standard.

NY-GEO-G.MG.1: Use geometric shapes, their measures, and their properties to describe objects.

There are 177 resources.
Title Description Thumbnail Image Curriculum Topics

VIDEO: Geometry Applications: Circles, 2

VIDEO: Geometry Applications: Circles, Segment 2: Circles and Arcs.

The Roman Coliseum is a large elliptical structure. Yet, the Romans likely used circular arcs to build it. This segment explores the properties of circles and shows how arcs can be used to create elliptical shapes.

VIDEO: Geometry Applications: Circles, Segment 2: Circles and Arcs. Applications of Circles and Definition of a Circle

VIDEO: Geometry Applications: Circles, 3

VIDEO: Geometry Applications: Circles, Segment 3: Chords and Inscribed Angles

The Roman Pantheon is a domed structure that shows a keen awareness of the position of the sun throughout the year. The source of light from the top of the dome allows for the exploration of chords, inscribed angles, central angles, and intercepted arcs.

VIDEO: Geometry Applications: Circles, Segment 3: Chords and Inscribed Angles Applications of Circles and Definition of a Circle

VIDEO: Geometry Applications: Coordinate Geometry

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.

VIDEO: Geometry Applications: Coordinate Geometry Applications of Coordinate Geometry and Coordinate Systems

VIDEO: Geometry Applications: Coordinate Geometry, 1

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.

VIDEO: Geometry Applications: Coordinate Geometry, Segment 1: Longitude and Latitude. Applications of Coordinate Geometry and Coordinate Systems

VIDEO: Geometry Applications: Coordinate Geometry, 2

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.

VIDEO: Geometry Applications: Coordinate Geometry, Segment 2: Rectangular Coordinates. Applications of Coordinate Geometry and Coordinate Systems

VIDEO: Geometry Applications: Coordinate Geometry, 3

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.

VIDEO: Geometry Applications: Coordinate Geometry, Segment 3: Polar Coordinates. Applications of Coordinate Geometry and Coordinate Systems

VIDEO: Geometry Applications: Points and Lines

VIDEO: Geometry Applications: Points and Lines

In this program we explore the properties of points and lines. We do this in the context of two real-world applications. In the first, we go to CERN and learn about the Large Hadron Collidor. We look at how points can represent particle positions in space and look at properties of points and lines.

VIDEO: Geometry Applications: Points and Lines Applications of Points and Lines, Definition of a Line and Definition of a Point

VIDEO: Geometry Applications: Points and Lines, 1

VIDEO: Geometry Applications: Points and Lines, Segment 1: Introduction

Our understanding of geometry owes much to the ancient Greeks. We visit the ancient Acropolis and explore some of its geometric secrets.

VIDEO: Geometry Applications: Points and Lines, Segment 1: Introduction Applications of Points and Lines, Definition of a Line and Definition of a Point

VIDEO: Geometry Applications: Points and Lines, 2

VIDEO: Geometry Applications: Points and Lines, Segment 2: Points

Geometric objects are abstractions that seem to have a connection to real world objects.

VIDEO: Geometry Applications: Points and Lines, Segment 2: Points Applications of Points and Lines, Definition of a Line and Definition of a Point

VIDEO: Geometry Applications: Points and Lines, 3

VIDEO: Geometry Applications: Points and Lines, Segment 3: Lines

Many cities are laid out in a rectangular grid and are examples of intersecting lines and rays. We visit the city of Houston to investigate the geometric nature of the city grid in its downtown area.

VIDEO: Geometry Applications: Points and Lines, Segment 3: Lines Applications of Points and Lines, Definition of a Line and Definition of a Point

VIDEO: Geometry Applications: Polygons

VIDEO: Geometry Applications: Polygons

In this program we explore the properties of polygons. We do this in the context of two real-world applications. In the first, we look at Islamic tile patterns as examples of regular polygons. We explore how such intricate patterns were created using a compass and straight edge.

VIDEO: Geometry Applications: Polygons Applications of Polygons

VIDEO: Geometry Applications: Polygons, 1

VIDEO: Geometry Applications: Polygons, Segment 1: Introduction

The Pentagon is one of the most famous polygon-shaped buildings in the world. But why was this shape chosen over a more straightforward quadrilateral shape? We briefly explore the properties of pentagons and use this as a way of introducing the key concepts throughout the program.

VIDEO: Geometry Applications: Polygons, Segment 1: Introduction Applications of Polygons and Definition of a Polygon

VIDEO: Geometry Applications: Polygons, 2

VIDEO: Geometry Applications: Polygons, Segment 2: Properties of Polygons

In the ancient city of Marrakesh polygons are on display.

VIDEO: Geometry Applications: Polygons, Segment 2: Properties of Polygons Applications of Polygons and Definition of a Polygon

VIDEO: Geometry Applications: Polygons, 3

VIDEO: Geometry Applications: Polygons, Segment 3: Composite Figures

The Petronas Towers in Indonesia provide an opportunity to explore the composite shapes used in the design of the towers.

VIDEO: Geometry Applications: Polygons, Segment 3: Composite Figures Applications of Polygons and Definition of a Polygon

VIDEO: Geometry Applications: Quadrilaterals

VIDEO: Geometry Applications: Quadrilaterals

In this program we explore the properties of quadrilaterals. We do this in the context of two real-world applications. In the first, we explore the architecture of Frank Lloyd Wright as an application of squares and rectangles; in particular, we look at his Fallingwater house.

VIDEO: Geometry Applications: Quadrilaterals Applications of Quadrilaterals

VIDEO: Geometry Applications: Quadrilaterals, 1

VIDEO: Geometry Applications: Quadrilaterals, Segment 1: Introduction

Stonehenge is best known as a circular structure. But it’s the post and lintel construction used that is noteworthy, and this type of construction involves quadrilateral shapes.

VIDEO: Geometry Applications: Quadrilaterals, Segment 1: Introduction Applications of Quadrilaterals

VIDEO: Geometry Applications: Quadrilaterals, 2

VIDEO: Geometry Applications: Quadrilaterals, Segment 2: Squares and Rectangles

Frank Lloyd Wright’s architectural masterpiece Falling Water is also a stunning assembly of quadrilateral shapes.

VIDEO: Geometry Applications: Quadrilaterals, Segment 2: Squares and Rectangles Applications of Quadrilaterals

VIDEO: Geometry Applications: Quadrilaterals, 3

VIDEO: Geometry Applications: Quadrilaterals, Segment 3: Parallelograms and Trapezoids

The Puerta de Europa towers in Madrid bring parallelograms front and center. These tilted towers, looking like modern-day towers of Pisa seem to defy gravity, but rely on the stability brought about by its quadrilateral structure.

VIDEO: Geometry Applications: Quadrilaterals, Segment 3: Parallelograms and Trapezoids Applications of Quadrilaterals

VIDEO: Geometry Applications: Transformations

VIDEO: Geometry Applications: Transformations

In this program we look at applications of transformations. We do this in the context of three real-world applications. In the first, we look at translations and rotations in the context of roller coaster rides.

VIDEO: Geometry Applications: Transformations Applications of Transformations and Definition of Transformations

VIDEO: Geometry Applications: Transformations, 1

VIDEO: Geometry Applications: Transformations, Segment 1: Translations and Rotations.

Roller coasters provide an ideal opportunity to explore translations and rotations. Displacement vectors are also introduced.

VIDEO: Geometry Applications: Transformations, Segment 1: Translations and Rotations. Applications of Transformations and Definition of Transformations

VIDEO: Geometry Applications: Transformations, 2

VIDEO: Geometry Applications: Transformations, Segment 2: 3D Translations.

Cargo ships transport tons of merchandise from one country to another and accounts for most of the global economy. Loading and unloading these ships requires a great deal of organization and provides an ideal example of three-dimensional translations.

VIDEO: Geometry Applications: Transformations, Segment 2: 3D Translations. Applications of Transformations and Definition of Transformations

VIDEO: Geometry Applications: Transformations, 3

VIDEO: Geometry Applications: Transformations, Segment 3: Rotations, Reflections, and Symmetry.

The Gemini telescope in Hawaii is an example of architecture that moves. All observatories rotate in order to follow objects in the sky. This also provides an opportunity to explore rotations, reflections, and symmetry.

VIDEO: Geometry Applications: Transformations, Segment 3: Rotations, Reflections, and Symmetry. Applications of Transformations and Definition of Transformations

VIDEO: Geometry Applications: Triangles

VIDEO: Geometry Applications: Triangles

In this program we explore the properties of triangles. We do this in the context of two real-world applications. In the first, we explore the triangular trusses in the Eiffel Tower and in the process learn about key properties of triangles.

VIDEO: Geometry Applications: Triangles Definition of a Triangle and Applications of Triangles

VIDEO: Geometry Applications: Triangles, 1

VIDEO: Geometry Applications: Triangles, Segment 1: Introduction

The Bank of China building in Hong Kong is a dramatic example of triangular support. The notion of triangular trusses is introduced, along with the key concepts developed in the rest of the program.

VIDEO: Geometry Applications: Triangles, Segment 1: Introduction Definition of a Triangle and Applications of Triangles

VIDEO: Geometry Applications: Triangles, 2

VIDEO: Geometry Applications: Triangles, Segment 2: Triangles

The Eiffel Tower includes quite a number of exposed triangular trusses. The properties of triangles are used to explore and explain the frequent use of triangular trusses in many building. In particular, isosceles and equilateral triangular trusses are explored.

VIDEO: Geometry Applications: Triangles, Segment 2: Triangles Applications of Triangles