https://www.youtube.com/watch?v=1dezV0ruH0k&list=PLE822B3199A298F94

More on 3D Figures

Do you need a little extra help with parallel edges, parallel faces, congruent faces, and perpendicular faces? It can be difficult to keep all the terms straight. And it is difficult to get everything counted correctly. I have found a few things that you can watch that reviews these concepts.

This one is a little long, but has lots of great information and great graphics!

Can you draw these figures?

A Review of Probability

Today we reviewed experimental probability.

Great video for review.

Fun with Logic Problems

We have had such fun working on logic problems this week. We have spent a lot of time this year talking about making "stronger brains". We talked about how athletes get better at their chosen sport through hard work. Good mathematicians must also work hard to grow strong brains. Logic problems are an excellent way to strengthen reasoning skills. We have tried out a few from the site below. See if you can work any of these problems. HAVE FUN!

http://mathcentral.uregina.ca/QandQ/qsearch

Do We Really Need Geometry?

Not sure why you need to know geometry? Check out the video below.

Need a refresher on parallel, perpendicular, and intersecting? This video is a great review.

Practice Edges, Faces, and Vertices 

Solid Geometry

Solid Geometry

 is the geometry of three-dimensional space, the kind of space we live in ...

Three Dimensions

It is called three-dimensional, or 3D because there are three dimensions: width, depth and height.

Properties

Solids have properties (special things about them), such as:

• volume (think of how much water it could hold)
• surface area (think of the area you would have to paint)
• how many vertices (corner points), faces and edges they have

Polyhedra and Non-Polyhedra

There are two main types of solids, "Polyhedra", and "Non-Polyhedra":

Counting Faces, Vertices and Edges

When we count the number of faces (the flat surfaces), vertices (corner points), and edges of a polyhedron we discover an interesting thing:

The number of faces plus the number of vertices
minus the number of edges equals 2

This can be written neatly as a little equation:

F + V − E = 2

It is known as Euler's Formula (or the "Polyhedral Formula") and is very useful to make sure we have counted correctly!

Let's review parallel and perpendicular lines.

http://learnzillion.com

Coordinate Planes

  Today we looked at transformations on grids. We discovered that some of us need a little refresher on labeling points on a graph or grid. Let's review:

 A coordinate plane is an important tool for working with these equations. It is formed by a horizontal number line, called the x-axis, and a vertical number line, called the y-axis. The two axes intersect at a point called the origin. You can locate any point on the coordinate plane by an ordered pair of numbers (x,y), called the coordinates. You can determine where to plot a point on a graph by how far along and how far up it is:

The coordinate plane is divided in 4 quadrants.

 Check out the video on the basics of plotting points.

 This video goes into a little more depth on graphing points.

Need a little practice? Try a game.

coordinates interactive game

hit the coordinate

coordinate graphing game

Mathematical Art

Geometry is my favorite branch of math. I am a visual learner, so geometry just makes sense to me. I have also always loved art. This post is dedicated to both - art made with math!

Math and art have had a long relationship. Since ancient times the Egyptians and Greeks incorporated mathematical relationships in the design of their most famous monuments. Artists such as Polykleitos, Piero della Francesca, Leonardo da Vinci and M.C. Escher made use of mathematics in their work.

Are you intrigued? Want to know more? Watch the videos below and try making some of your own "mathsterpieces".