NYS

These are the resources that support this NYS Standard.

NY-7.G.6: Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

There are 258 resources.
Title Description Thumbnail Image Curriculum Topics

Closed Captioned Video: Geometry Applications--Antiprisms

Closed Captioned Video: Geometry Applications--Antiprisms

In this video students learn the basics of antiprisms, in the context of New York’s Freedom Tower, which has an antiprism design. They learn the properties of antiprisms, with the focus on those with a square base.

Closed Captioned Video: Geometry Applications--Antiprisms Rectangular Prisms

Closed Captioned Video: Geometry Applications--Rectangular Prisms

Closed Captioned Video: Geometry Applications--Rectangular Prisms

In this video students learn the basics of rectangular prisms, in the context of a New York residential tower: 432 Park Avenue.

Closed Captioned Video: Geometry Applications--Rectangular Prisms Rectangular Prisms

Closed Captioned Video: Geometry Applications--Triangular Prisms

Closed Captioned Video: Geometry Applications--Triangular Prisms

In this video students study a real-world application of triangular prisms: The Flat Iron Building in New York City. This building is an ideal example of a real-world prism and also provides a tie-in to right triangle geometry.

Closed Captioned Video: Geometry Applications--Triangular Prisms Triangular Prisms

Closed Captioned Video: Geometry Applications--What Are Prisms?

Closed Captioned Video: Geometry Applications--What Are Prisms?

In this video students learn the basics of prisms and anti prisms. They learn the properties of triangular prisms, rectangular prisms, triangular antiprisms, and rectangular antiprisms.

Closed Captioned Video: Geometry Applications--What Are Prisms? Rectangular Prisms and Triangular Prisms

Closed Captioned Video: Geometry Applications: 3D Geometry

Closed Captioned Video: Geometry Applications: 3D Geometry

In this program we explore the properties of three-dimensional figures. We do this in the context of two real-world applications. In the first, we look at the three-dimensional structure of Mayan pyramids.

Closed Captioned Video: Geometry Applications: 3D Geometry 3-Dimensional Figures

Closed Captioned Video: Geometry Applications: 3D Geometry, 1

Closed Captioned Video: Geometry Applications: 3D Geometry, Segment 1: Introduction.

We visit ancient Greece to learn about the Platonic Solids. This provides an introduction to the more general topic of three-dimensional figures.

Closed Captioned Video: Geometry Applications: 3D Geometry, Segment 1: Introduction. 3-Dimensional Figures

Closed Captioned Video: Geometry Applications: 3D Geometry, 2

Closed Captioned Video: Geometry Applications: 3D Geometry, Segment 2: Pyramids

Rectangular Prisms. Mayan pyramids are essentially stacks of rectangular prisms. The volume of each successive level is a percentage decrease of its lower neighbor. This introduces the notion of a geometric sequence and series, including an infinite series.

Closed Captioned Video: Geometry Applications: 3D Geometry, Segment 2: Pyramids 3-Dimensional Figures and Pyramids

Closed Captioned Video: Geometry Applications: 3D Geometry, 3

Closed Captioned Video: Geometry Applications: 3D Geometry, Segment 3: Cylinders

The Shanghai Tower in China is a stack of cylindrical shapes, where each successive layer is a percentage decrease of its lower neighbor. As with the previous section, this introduces the notion of a geometric sequence and series.

Closed Captioned Video: Geometry Applications: 3D Geometry, Segment 3: Cylinders 3-Dimensional Figures and Cylinders

Closed Captioned Video: Geometry Applications: Quadrilaterals

Closed Captioned 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.

Closed Captioned Video: Geometry Applications: Quadrilaterals Definition of a Quadrilateral and Applications of Quadrilaterals

Closed Captioned Video: Geometry Applications: Quadrilaterals, 1

Closed Captioned 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.

Closed Captioned Video: Geometry Applications: Quadrilaterals, Segment 1: Introduction Definition of a Quadrilateral and Applications of Quadrilaterals

Closed Captioned Video: Geometry Applications: Quadrilaterals, 2

Closed Captioned 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.

Closed Captioned Video: Geometry Applications: Quadrilaterals, Segment 2: Squares and Rectangles Definition of a Quadrilateral and Applications of Quadrilaterals

Closed Captioned Video: Geometry Applications: Quadrilaterals, 3

Closed Captioned 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.

Closed Captioned Video: Geometry Applications: Quadrilaterals, Segment 3: Parallelograms and Trapezoids Definition of a Quadrilateral and Applications of Quadrilaterals

Definition--Geometry Basics--Antiprism

Definition--Geometry Basics--Antiprism

This collection of clip art images includes image sequences for key topics in geometry. This includes points, lines, planes, angles, triangles, quadrilaterals, and polygons. Each sequence of images provides an overview of the topic.

Note: The download is a PNG file.

Definition--Geometry Basics--Antiprism 3-Dimensional Figures

Definition--Geometry Basics--Prism

Definition--Geometry Basics--Prism

This collection of clip art images includes image sequences for key topics in geometry. This includes points, lines, planes, angles, triangles, quadrilaterals, and polygons. Each sequence of images provides an overview of the topic.

Note: The download is a PNG file.

Definition--Geometry Basics--Prism 3-Dimensional Figures

Formulas--Surface Area of a Cube

Formulas--Surface Area of a Cube

The formula for the Surface Area of a Cube.

Formulas--Surface Area of a Cube Surface Area

Formulas--Surface Area of a Rectangular Prism

Formulas--Surface Area of a Rectangular Prism

The formula for the Surface Area of a Rectangular Prism.

Formulas--Surface Area of a Rectangular Prism Surface Area

Geometry Applications Teachers Guide: 3D Geometry

Geometry Applications Teachers Guide: 3D Geometry

This is the Teacher's Guide that accompanies Geometry Applications: 3D Geometry.

Geometry Applications Teachers Guide: 3D Geometry Applications of 3D Geometry

Google Earth Voyager Story: Architectural Prisms, Part 1

Google Earth Voyager Story: Architectural Prisms, Part 1

In this Google Earth Voyager story visit architectural landmarks in New York City to learn about the geometry of prisms. In this lesson, visit the Flatiron Building and learn about triangular prisms. Then build a scale model of the Flatiron Building.

Google Earth Voyager Story: Architectural Prisms, Part 1 Triangular Prisms

Google Earth Voyager Story: Architectural Prisms, Part 2

Google Earth Voyager Story: Architectural Prisms, Part 2

In this Google Earth Voyager story visit architectural landmarks in New York City to learn about the geometry of prisms. In this lesson, visit the 432 Park Avenue to learn about rectangular prisms. Then build a scale model of this building.

Google Earth Voyager Story: Architectural Prisms, Part 2 Rectangular Prisms

Google Earth Voyager Story: Architectural Prisms, Part 3

Google Earth Voyager Story: Architectural Prisms, Part 3

In this Google Earth Voyager story visit architectural landmarks in New York City to learn about the geometry of prisms. In this lesson, visit the Freedom Tower in Lower Manhattan and learn about antiprisms. Then build a scale model of the Freedom Tower.

Google Earth Voyager Story: Architectural Prisms, Part 3 3-Dimensional Figures

Google Earth Voyager Story: Polygon Architecture, Part 1

Google Earth Voyager Story: Polygon Architecture, Part 1

In this Google Earth Voyager Story, explore the geometry of polygons in the context of architecture.

Google Earth Voyager Story: Polygon Architecture, Part 1 Applications of Polygons

Google Earth Voyager Story: Polygon Architecture, Part 2

Google Earth Voyager Story: Polygon Architecture, Part 2

In this Google Earth Voyager Story, explore the geometry of polygons in the context of architecture.

Google Earth Voyager Story: Polygon Architecture, Part 2 Applications of Polygons

INSTRUCTIONAL RESOURCE: Algebra Application: Interior Angles of a Polygon

In this Slide Show, apply concepts of linear functions to the context of the interior angles of a polygon. Note: The download is a PPT file.

INSTRUCTIONAL RESOURCE: Algebra Application: Interior Angles of a Polygon Definition of a Polygon

INSTRUCTIONAL RESOURCE: Math Examples 37

INSTRUCTIONAL RESOURCE: Math Examples--Polygon Classification

This set of tutorials provides 36 examples of how to classify polygons based on side and angle characteristics.

INSTRUCTIONAL RESOURCE: Math Examples--Polygon Classification Definition of a Polygon

INSTRUCTIONAL RESOURCE: Math Examples 42

INSTRUCTIONAL RESOURCE: Math Examples--Quadrilateral Area and Perimeter

This set of tutorials provides an overview of the 24 worked-out examples that show how to calculate the area and perimeter of different quadrilaterals.

INSTRUCTIONAL RESOURCE: Math Examples--Quadrilateral Area and Perimeter Area and Perimeter of Quadrilaterals