Title | Description | Thumbnail Image | Curriculum Topics |
---|---|---|---|
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. |
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. |
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. |
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. |
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. |
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. |
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. |
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. |
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. |
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. |
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. |
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. |
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. |
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. |
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. |
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. |
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. |
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. |
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. |
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. |
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. |
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. |
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. |
Applications of Triangles | |
VIDEO: Geometry Applications: Triangles, 3 |
VIDEO: Geometry Applications: Triangles, Segment 3: Right Triangles
The ancient port city of Corinth in Greece allows us to explore the evolution of sailing. The shapes of sails went from rectangular to triangular. The use of right-triangle-shaped sails changed the nature of sailing. |
Applications of Triangles and Definition of a Triangle | |
Worksheet: Crossword Puzzle--Circles |
Worksheet: Crossword Puzzle--Circles
This is part of a collection of math worksheets that are crossword puzzles of math vocabulary. |
Definition of a Circle |