This is the Teacher's Guide that accompanies Algebra Nspirations: Variables and Equations.

In this program we explore the properties of three-dimensional figures. We do this in the context of two real-world applications.

We visit ancient Greece to learn about the Platonic Solids.

Rectangular Prisms. Mayan pyramids are essentially stacks of rectangular prisms.

The Shanghai Tower in China is a stack of cylindrical shapes, where each successive layer is a percentage decrease of its lower

In this program we explore the properties of angles and planes. We do this in the context of two real-world applications.

The observatory in Arecibo, Puerto Rico provides astronomers insights into the structure of our solar system.

Himeji castle in Japan is a marvel of architecture and a startling example of geometry and military science.

In the Canadian Rockies, the Burgess Shale fossils provide a window to prehistoric Earth.

In this program we look at applications of area and volume. We do this in the context of three real-world applications.

The sinking of the Titanic provides an opportunity to explore volume, density, and buoyancy.

The glass-paneled pyramid at the Louvre Museum in Paris is a tessellation of rhombus-shaped glass panels.

The Citibank Tower in New York City presents some unique design challenges.

In this program we explore the properties of circles. We do this in the context of two real-world applications.

We visit Chaco Canyon in New Mexico to explore the circular kivas and in the process discover how circular buildings h

The Roman Coliseum is a large elliptical structure. Yet, the Romans likely used circular arcs to build it.

The Roman Pantheon is a domed structure that shows a keen awareness of the position of the sun throughout the yea

In this program we look at applications of coordinate geometry. We do this in the context of three real-world applications.

Greenwich, England, is the location of the Prime Meridian and offers a point of departure for a discussio

Centuries ago a Spanish galleon, The Atocha, sank off the coast of Florida, taking its gold treasure dow

The Guggenheim Museum in New York City has a spiral shape that is an example of a polar coordinate graph.

In this program we explore the properties of points and lines. We do this in the context of two real-world applications.

Our understanding of geometry owes much to the ancient Greeks.

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

Many cities are laid out in a rectangular grid and are examples of intersecting lines and rays.

In this program we explore the properties of polygons. We do this in the context of two real-world applications.

The Pentagon is one of the most famous polygon-shaped buildings in the world.

In the ancient city of Marrakesh polygons are on display.

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

In this program we explore the properties of quadrilaterals. We do this in the context of two real-world applications.

Stonehenge is best known as a circular structure.

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

The Puerta de Europa towers in Madrid bring parallelograms front and center.

In this program we look at applications of transformations. We do this in the context of three real-world applications.

Cargo ships transport tons of merchandise from one country to another and accounts for most of the global economy.

The Gemini telescope in Hawaii is an example of architecture that moves.

Roller coasters provide an ideal opportunity to explore translations and rotations.

In this program we explore the properties of triangle. We do this in the context of two real-world applications.

The Bank of China building in Hong Kong is a dramatic example of triangular support.