Unit 3

  

Introduction to Unit 3: Geometric Applications of Exponents

Independent Study/Preview/Review Unit 3: http://cms.gavirtualschool.org/Shared/Math/MSMath8_13/03_GeoAppsExponents/index.html

KeyTerms/Vocabulary: http://cms.gavirtualschool.org/Shared/Math/MSMath8_13/03_GeoAppsExponents/index.html

HW Step by Step Solutions: https://drive.google.com/folderview?id=0B73LXnu6n4Z4YVQ4R2U3UHNVT0k&usp=sharing

When you hear the word "GEOMETRY," probably one of the first people you think about is Pythagoras. 

Most adults you ask, whether they were good in math or not, remember the infamous Pythagorean Theorem.   In this unit, we'll explore how Pythagorean's Theorem works and how we can use it to solve for missing lengths of right triangles. While this is the most common way that we think of using Pythagorean's Theorem, we can also use it to find the distance between two points. 

As we study this fundamental geometric theorem, we'll also take a look at its proof.  In other words, we'll see why it always works! 

Finally, we'll wrap up this module by learning the formulas for finding the volume of the three dimensional shapes of cones, cylinders, and spheres. 

We'll use practical applications to interact with the idea of what volume really means and how it changes when looking at, not only three dimensional shapes, but three dimensional shapes with curvature.  It's going to be a ball, literally!

Essential Questions:

• How do we use the Pythagorean Theorem to solve for unknown side lengths of triangles?
• How do we use the Pythagorean Theorem to find the distance between two points?
• What are the formulas for finding the volume of the three dimensional shapes of cones, cylinders, and spheres and how do we use them to solve real-world problems?