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

Math in the News: Issue 39--Monument to a Hero

Math in the News: Issue 39--Monument to a Hero

12/12/11. In this issue we look at the MLK Memorial and the special properties of granite that presented some design challenges in the construction of the statue.

Math in the News: Issue 39--Monument to a Hero Surface Area and Volume

Math in the News: Issue 42--The Burj Khalifa Tower

Math in the News: Issue 42--The Burj Khalifa Tower

January 2012. In this issue we look at the Burj Khalifa Tower, made popular with the release of the Mission Impossible movie.

Math in the News: Issue 42--The Burj Khalifa Tower Applications of 3D Geometry

Math in the News: Issue 44--Sunk: The Costa Concordia

Math in the News: Issue 44--Sunk: The Costa Concordia

January 2012. In this issue of Math in the News we analyze how the Costa Concordia sank.

Math in the News: Issue 44--Sunk: The Costa Concordia Surface Area and Volume

Math in the News: Issue 53--Titanic: A Century Later

Math in the News: Issue 53--Titanic: A Century Later

April 2012. In this issue of Math in the News we analyze the sinking of the Titanic. It has been a hundred years, yet the story of the sinkin g of the Titanic still fascinates.

Math in the News: Issue 53--Titanic: A Century Later Surface Area and Volume

Math in the News: Issue 56--The Freedom Tower

Math in the News: Issue 56--The Freedom Tower

May 2012. In this issue of Math in the News we look at the architecture of the Freedom Tower, now that it has become the tallest building in NYC.

Math in the News: Issue 56--The Freedom Tower 3-Dimensional Figures

Math in the News: Issue 73--County Fairs and Funnel Cakes

Math in the News: Issue 73--County Fairs and Funnel Cakes

August 2013. In this issue we look at the geometry of funnel cakes. You'll like the sweet results.

Math in the News: Issue 73--County Fairs and Funnel Cakes Surface Area and Volume

Math in the News: Issue 8--Tornado Damage

Math in the News: Issue 8--Tornado Damage

5/9/11. In this issue we look at tornado season. In particular we study why the swirling winds of a tornado are so damaging.

Math in the News: Issue 8--Tornado Damage Data Analysis

Math in the News: Issue 9--Mississippi Floods

Math in the News: Issue 9--Mississippi Floods

5/16/11. In this issue we look at the flooding along the Mississippi. In particular we analyze the flooding along Memphis, Tennessee. We develop a model for predicting the amount of flooding.

Math in the News: Issue 9--Mississippi Floods Volume

Video Transcript: Geometry Applications: 3D Geometry

Video Transcript: Geometry Applications: 3D Geometry

This is the transcript for the video of same title. Video contents: 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.

Video Transcript: Geometry Applications: 3D Geometry 3-Dimensional Figures and Applications of 3D Geometry

Video Transcript: Geometry Applications: 3D Geometry, Segment 1: Introduction

Video Transcript: Geometry Applications: 3D Geometry, Segment 1: Introduction

This is the transcript for the video of same title. Video contents: We visit ancient Greece to learn about the Platonic Solids. This provides an introduction to the more general topic of three-dimensional figures.

Video Transcript: Geometry Applications: 3D Geometry, Segment 1: Introduction 3-Dimensional Figures and Applications of 3D Geometry

Video Transcript: Geometry Applications: 3D Geometry, Segment 2: Pyramids

Video Transcript: Geometry Applications: 3D Geometry, Segment 2: Pyramids

This is the transcript for the video of same title. Video contents: Rectangular Prisms. Mayan pyramids are essentially stacks of rectangular prisms. The volume of each successive level is a percentage decrease of its lower neighbor.

Video Transcript: Geometry Applications: 3D Geometry, Segment 2: Pyramids 3-Dimensional Figures and Applications of 3D Geometry

Video Transcript: Geometry Applications: 3D Geometry, Segment 3: Cylinders

Video Transcript: Geometry Applications: 3D Geometry, Segment 3: Cylinders

This is the transcript for the video of same title. Video contents: The Shanghai Tower in China is a stack of cylindrical shapes, where each successive layer is a percentage decrease of its lower neighbor.

Video Transcript: Geometry Applications: 3D Geometry, Segment 3: Cylinders 3-Dimensional Figures and Applications of 3D Geometry

Video Transcript: Geometry Applications: Quadrilaterals

Video Transcript: Geometry Applications: Quadrilaterals

This is the transcript for the video of same title. Video contents: In this program we explore the properties of quadrilaterals. We do this in the context of two real-world applications.

Video Transcript: Geometry Applications: Quadrilaterals Applications of Quadrilaterals

Video Transcript: Geometry Applications: Quadrilaterals, Segment 1: Introduction

Video Transcript: Geometry Applications: Quadrilaterals, Segment 1: Introduction

This is the transcript for the video of same title. Video contents: 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 Transcript: Geometry Applications: Quadrilaterals, Segment 1: Introduction Applications of Quadrilaterals

Video Transcript: Geometry Applications: Quadrilaterals, Segment 2: Squares and Rectangles

Video Transcript: Geometry Applications: Quadrilaterals, Segment 2: Squares and Rectangles

This is the transcript for the video of same title. Video contents: Frank Lloyd Wright's architectural masterpiece Falling Water is also a stunning assembly of quadrilateral shapes.

Video Transcript: Geometry Applications: Quadrilaterals, Segment 2: Squares and Rectangles Applications of Quadrilaterals

Video Transcript: Geometry Applications: Quadrilaterals, Segment 3: Parallelograms and Trapezoids

Video Transcript: Geometry Applications: Quadrilaterals, Segment 3: Parallelograms and Trapezoids

This is the transcript for the video of same title. Video contents: The Puerta de Europa towers in Madrid bring parallelograms front and center.

Video Transcript: Geometry Applications: Quadrilaterals, Segment 3: Parallelograms and Trapezoids Applications of Quadrilaterals

Video Transcript: Geometry Applications: Antiprisms

Video Transcript: Geometry Applications: Antiprisms

This is the transcript for the 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.

Video Transcript: Geometry Applications—Antiprisms 3-Dimensional Figures

Video Transcript: Geometry Applications: Rectangular Prisms

Video Transcript: Geometry Applications—Rectangular Prisms Rectangular Prisms

Video Transcript: Geometry Applications: What Are Prisms?

Video Transcript: Geometry Applications: What Are Prisms?

This is the transcript for the 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.

Video Transcript: Geometry Applications—What Are Prisms? Rectangular Prisms and Triangular Prisms

Video Tutorial: Perimeter of a Triangle

Video Tutorial: Perimeter of a Triangle

In this video tutorial learn about perimeter in the context of triangles. Several examples of calculating a perimeter are shown: whole number sides, decimal sides. Then we look at triangles one of whose sides is a variable. The resulting perimeter is an algebraic expression.

Perimeter of a triangle Area and Perimeter of Triangles

VIDEO: 3D Geometry Animation: Antiprisms 2

VIDEO: 3D Geometry Animation: Antiprism Folding Out into Two Pyramids

This is part of a series of video animations of three-dimensional figures. These animations show different views of these figures: top, side, and bottom. Many of these figures are a standard part of the geometry curriculum and being able to recognize them is important.

VIDEO: 3D Geometry Animation: Antiprism Folding Out into Two Pyramids 3-Dimensional Figures

VIDEO: Geometry Applications: 3D Geometry

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. These stair-step structures provide a unique opportunity to also explore sequences and series.

VIDEO: Geometry Applications: 3D Geometry 3-Dimensional Figures

VIDEO: Geometry Applications: 3D Geometry, 1

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.

VIDEO: Geometry Applications: 3D Geometry, Segment 1: Introduction. 3-Dimensional Figures

VIDEO: Geometry Applications: 3D Geometry, 2

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.

VIDEO: Geometry Applications: 3D Geometry, Segment 2: Pyramids 3-Dimensional Figures and Pyramids

VIDEO: Geometry Applications: 3D Geometry, 3

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.

VIDEO: Geometry Applications: 3D Geometry, Segment 3: Cylinders 3-Dimensional Figures and Cylinders