Chapter 5 covers things you need to know about wheels:


Wheels are circles.  But you will notice it is not a perfect circle due to the bumps and grooves of the wheel.  When you draw a circle in a computer, the circle is not perfect as it is little dots creating the illusion of a circle.  Sometimes in Computer Aided Design a circle is made up of many squares placed in a pattern to create, again, the illusion of a circle.  You will find that SYMMETRY can apply.  This is a good time to reinforce shapes and symmetry. 

2D and 3D SHAPES:  http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks2/maths/3d/index.htm

SYMMETRY in SHAPES:  http://www.innovationslearning.co.uk/subjects/maths/information/shape_facts/shape_facts.htm



This is a good time to learn about FRACTIONS.  Breaking up a wheel like a pie or pizza is a great way to learn fractions.  This will lead to breaking things up in degrees.

Let's see what fractions are all about:  http://nlvm.usu.edu/en/nav/frames_asid_103_g_1_t_1.html
 
Let's take a look at fractions before we get further into Wheels and Gears:  http://nlvm.usu.edu/en/nav/frames_asid_104_g_1_t_1.html
 
Can you see how wheels and gears can be broken up into parts and how you
can put it into a fraction?
 
Take a look at food to refresh your memory on fractions:  http://www.bgfl.org/bgfl/ custom/resources_ftp/client_ftp/ks2/maths/fractions/index.htm
 


Instructors:
 
You will change over the thought to degrees and rotations of a wheel and gear. 
This will help the students in measuring distance, rate, and time.

Let's learn about ANGLES so that we can see what degrees is all about (you will be learning from a protractor):  http://www.amblesideprimary.com/ambleweb/mentalmaths/protractor.html

This game will reinforce the skills learned in finding angles:  http://www.innovationslearning.co.uk/subjects/maths/activities/year6/angles/game.asp



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Standards HCPS III:

SCIENCE:
Standard 1: The Scientific Process: SCIENTIFIC INVESTIGATION: Discover,
invent, and investigate using the skills necessary to engage in the scientific
process
Standard 6: Physical, Earth and Space Science: NATURE OF MATTER AND
ENERGY: Understand the nature of matter and energy, forms of energy
(including waves) and energy transformations, and their significance in
understanding the structure of the universe
Standard 7: Physical, Earth, and Space Sciences: FORCE AND MOTION:
Understand the relationship between force, mass, and motion of objects; and
know the major natural forces: gravitational, electric, and magnetic


MATH:
Standard 4: Measurement: FLUENCY WITH MEASUREMENT: Understand
attributes, units, and systems of units in measurement; and develop and use
techniques, tools, and formulas for measuring
Robotics Engineer Lessons  Page 7
Standard 5: Geometry and Spatial Sense: PROPERTIES AND
RELATIONSHIPS: Analyze properties of objects and relationships among the
properties
Standard 6: Geometry and Spatial Sense: TRANSFORMATIONS AND
SYMMETRY: Use transformations and symmetry to analyze mathematical
situations
Standard 7: Geometry and Spatial Sense: VISUAL AND SPATIAL SENSE: Use
visualization and spatial reasoning to solve problems both within and outside of
mathematics