Number bases, rational numbers, and decimals

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2008 USM Summer Math Institute Co-Sponsored by
Institutions of Higher Learning (IHL) U.S.
Department of Education (No Child Left Behind
Funding) The Center for Science and Mathematics
Education The Department of Mathematics College
of Science and Technology College of Education
and Psychology
Day Seventeen
More Principal Interest--on Excel, English and
metric units, dilations, reflections,
translations, rotations
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2008 USM Summer Math InstituteYour Mathematics
Instructors, Staff and Partners

• Ms. Michelle Green, Co-Director and Co-Instructor
  for (SM)2I
• Stringer Attendance Center
• National Board Certified/Early Adolescence
• Email mgreen_at_westjasper.k12.ms.us , Phone
  601-428-5508
• Dr. Myron Henry, Director and Co-Instructor for
  (SM)2I
• Department of Mathematics and the Center for
  Science and Mathematics Education
• Johnson Science Tower 314
• Email myron.henry_at_usm.edu, Phone [phone] or
  266-6516
• All Participants (thats you)

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Day Seventeen of (SM)2I

• Compound and simple interest
• and principal in Excel
• Ratcheting down and up for metric and English
  measurement conversions
• Transformations through Cabri Jr. Geometry
  reflection, dilation, translation, rotation

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Lets build a companion Spreadsheet to the
cellsheet!
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Use your spreadsheet with appropriate
substitutions to help Jim decide how to invest.

• Jim wants to deposit money in a account to buy an
  antique Studebaker car in six years. The
  following interest rates are available to him.
• 6.1 simple interest.
• 6.0 compounded annually
• 5.96 compounded semiannually
• 5.92 compounded quarterly.
• Find out how much will Jim have after six years
  if he invests 15,000. Which account should he
  choose to maximize his return?

Simple Interest A P( 1 n r)
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A measurement chart for the 2008 USM Summer
Mathematics Institute. Below are some helpful
measurement comparisons that you may useful..
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Eulers formula for Polyhedra V F E 2
Sum of the interior angles of an n-gon (n-2)180
Volume of a right prism or cylinder (area of
B)h.
Circular Stuff
Volume of a sphere
SA of a sphere
Volume of a pyramid
Metric System of Measure
Some Conversions
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Miles to km by ratcheting down and then up
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km to miles by ratcheting down and then up
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Reflecting the triangle ABC about the given line
(what is the line?) results in a new triangle
A', B', and C'. The line segments connecting
corresponding vertices are perpendicular to the
line of reflection, and the line of reflection
bisects the line segments. by line segments.
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Reflecting the triangle ABC about the given line
(what is the
line?)
results
in a new

triangle A', B',

and C'.

The line segments connecting
corresponding vertices are perpendicular to the
line of reflection, and the line of reflection
bisects the line segments. by line segments.
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Translation of 5 cm through an angle of 45?
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Three dilations
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Rotation through an angle of 90?
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Rotation through an angle of 45?
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Reflections through Cabri Jr

• Construct a triangle with F2
• Construct your reflection line or segment with F2
• Choose Reflection with F4
• Select triangle with curser press enter
• Then select line or segment with curser press
  enter
• Choose F3 for perpendicular line

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Same distance
Always 90o
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Dilations through Cabri Jr

• Construct a triangle with F2
• Go to F5 and choose alpha-num and press enter
• Press alpha to change to number mode
• Enter a scale factor
• Go to F4 and choose dilation
• Select the triangle press enter, then insert a
  point press enter, then move arrow to the number
  and press enter.

http//hotmath.com/graphing_calculators/cabri_movi
e_index.html
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Dilation of
Dilation of 2
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Translations through Cabri Jr

• Construct a triangle with F2
• Choose Translation with F4
• Select triangle with curser press enter
• Then select one vertex of the triangle and press
  enter
• Move curser to where you want to translate shape
  to and press enter

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Rotations through Cabri Jr

• Construct a line with F2
• Choose perpendicular with F3 to form
  perpendicular lines
• In one Quadrant construct a triangle with F2
• Then select intersection point of lines for point
  of rotation press enter
• Select triangle press enter
• Then you have to mark the angle you want to
  rotate and press enter.

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90o
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