2. LEARNING GEOMETRY… with a little help from technology By: Gregory Nussberger

3. Technology Makes Learning Geometry Easy… Technology Makes Learning Geometry Easy… Standard: GEOMETRY Competency: (M4-P1) Interpret and draw three- dimensional objects Performance Objective: (PO1) Identify sketches of prisms, pyramids, cones, cylinders, and spheres

4. What are these strange objects? What are these strange objects? Cylinder, Cone, and Sphere A cylinder is a solid (three-dimensional) figure with two congruent circular bases that lie in parallel planes. A cone is a solid figure with a circular base and a vertex that lies in a different plane than the base. A sphere is the set of all points in space that are a given distance (radius) from a fixed point (center).

5. Lets Look at Some Examples of a Cylinder :

6. Some Examples of a Cone:

7. Lets Look at Some Examples of a Sphere:

8. Your Assignment for Today… Classwork: Insert 6 additional slides to your PowerPoint Student Electronic Portfolio (SEP). Use the following information to guide you through the process. Slide #38 - Title Slide, Learning Geometry… Slide #39 - Are the previously mentioned solids polyhedra (a solid figure bounded by plane polygons or faces)? Slide # 40 - How are the 3 types of solids alike and how they are different? Slide #41 - Sketch a cylinder with a height that is twice the diameter of the base. Slide #42 - Draw a cone with a height that is half the diameter of the base. Slide #43 - Name a common object that has the shape of a sphere and insert a picture of that object, use clip-art or the Internet.

9. Lets Review What We Learned… What have we learned and how you can apply it: We can use technology to identify an object’s basic shape, we can determine which formulas to use to calculate surface areas and volumes. Many products are packaged using these shapes.