Geometry

1
Geometry

• Water Wheel
• You are going to design a waterwheel

2
Helpful equationsMemorize these

• Area of a circle A pr2
• Circumference of a circle 2pr
• 
  
  R
• Volume of a cylinder (pr2) x H
• 
  
  H
• Area of a rectangle L x W
• Volume of a rectangle L x W x H
  H W
• 
  
• Area of a triangle B x H
  L
• 2
• 
  H
• Volume of a triangular prism B x H x L
  
• 
  2 B L

D
3
More Formulas
3

• Volume of Sphere V 4 r
• 3
• Surface Area of a Sphere

4
More Formulas

• Relationship between the volume of a
  cylinder and the volume of a cone.

Cone
Cylinder
5
Quadrilaterals

• Definition of a quadrilateral- a flat shape with
  four sides.
• Just like polygons break them into simpler shapes.

6
Polygons

• Definition of a polygon. A plain shape that is
  two dimensional that has no curved sides.
• With respect to the formula break the shape into
  more simple shapes.

7
The Scientific Method
8
Task 1

• Research Water Wheels
• Ideas
• Look for a You Tube video or other resources that
  could give you research and insight showing you
  how water wheels work. Include your research in a
  work cited page.
• Make a sketch model of a water wheel and how it
  works. Include all calculations for proposed
  figures. You must include at least one example of
  all of the formulas following this page.
• Justify your decisions for sizes. Why is your
  wheel this size.etc.
• Be sure to include labels of the different parts
  of a water wheel and relative sizes of the parts
  compared to one another.
• Submit plan along with daily journal notes in you
  math journal to show progress to Mr. Hunter.

9
Geometry of water wheels

• Some questions to consider in you Journal.
• As you begin to build a water wheel what is the
  relationship between the size of the wheel and
  the energy it provides?
• Can you attach a fan to your water wheel and have
  it power the fan?
• In your journal you need to provide the
  dimensions of the parts of the water wheel.

10
One idea for a sketch
For each figure calculate the area, and volume in
your project. In your Math Journal justify why
you chose the sizes you did. For example did a
larger or smaller Wheel work better and why?
Fan
Shaft
Tub filled with water The volume of the tub is?
Water line
Pump
11
Example of what is needed in a Journal entry

• Students Journal
• Date
• Draw a sketch of what you are planning to do
  today.
• Write a two to three sentence plan on what you
  are going to do today.
• Write a one sentence goal for the day.

12
Journal Entry Continued

• With the last ten minutes of class respond to the
  following.
• Did you accomplish your goal? Why or why not?
• What did you change in your plan. Why did you
  change your plan? (This is part of the scientific
  method).
• What do you know today that you didnt know
  yesterday?
• What will be your goal for tomorrow?

13
Presentation

• You will present your water wheel design and your
  findings to the class.
• Discuss how your thinking and understanding
  evolved throughout the lesson.
• How did math help you to improve your design?

14
Rubric
Drawing 40 Journal Entries 40 Presentation 10 Project 10
Calculations are correct 20 Evidence of detailed thorough notes taken daily. 10 Student presented ideas and a changed perspective is apparent. 10 A well thought out finished project is created 10
Labeled correctly 10 A Journal entry for every day the project was worked on. 30
Multiple drafts showing evolving process culminating in finished product 10