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Accelerated G/T
Mathematics
Program
Orientation Session 2012
Mrs. Krummel
[email protected]
http://mrskrummel.com
A Tale of the Cats
by J.A.H. Hunter
The lucky cats in Stratton Street
Had seven mice apiece to eat.
The rest made do
With only two:
The total score
Being twenty-four.
How many cats ate mousie meat?
What is Algebra?
• Algebra is a branch of mathematics
that studies the relationships
between quantities that vary.
• These relationships can be
represented verbally, numerically,
graphically, and symbolically.
• Emphasis on functions and their
applications as mathematical
models
A Tale of the Cats
Symbolically:
7x + 2y = 24
Numerically:
x
0
1
y
12
8.5
2
5
Graphically:
What is Geometry?
• Geometry is a branch of
mathematics that studies spatial
relationships (size, shape, relative
position, properties of space).
• Emphasis on spatial reasoning,
proof, properties of twodimensional shapes and threedimensional figures
A Tale of the Cats
A cat on a 25-ft tall
rooftop of a house on
Stratton Street spies
a mouse at a 55°
angle of depression.
How far away is the
mouse?
Marcio Melo. Cat on the Roof in
the Moonlight, 2001.
What is Discrete Mathematics?
• Discrete Mathematics is a
branch of mathematics that
studies discrete (as opposed to
continuous) objects.
• Emphasis on problem-solving,
logic, proof, combinatorics and
probability, vertex-edge graphs
A Tale of the Cats
A clever cat has
mapped out 8
mouse holes on
Stratton Street.
Can he check all 8
mouse holes
without checking
any hole twice?
Cathy Breedyk Law. City Cat, 2008.
Middle School Course Sequence
Year One:
• Algebra 1 G/T
• Geometry G/T Part 1
Year Two:
• Geometry G/T Part 2
• Algebra 2 G/T
Year Three:
• Discrete Mathematics G/T
Current High School Course Sequence
Grade 9:
Precalculus G/T
Grade 10:
AP Calculus AB
Grade 11:
AP Calculus C
Grade 12:
AP Statistics
Discrete Mathematics
Differential Equations (offered
at some high schools or a
central location – HCC)
Class Schedule & Location
River Hill High School:
(transportation not provided)
• Tuesdays 4-6 pm OR
• Wednesdays 6:30-8:30 pm
Home Schools:
• Work independently during
scheduled math period
Expected Time Commitment:
225+120=345 min. per week
Student Expectations:
Students will be expected to:
• Think critically
• Communicate mathematically
both verbally and in writing
• Persevere with challenging
problems
• Work independently
• Ask questions and seek help
when needed
Teacher Support:
Mrs. Krummel is available to assist
students via:
•
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•
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•
•
Email
Web Conferencing
Instant messaging tools
Online forum
Telephone
Scheduled school visits
Video Tutorials
Student Grading:
• Grades posted online in real
time
• Interim Reports provided
• Students expected to maintain
A/B+ average consistently
• Parent/Student/Teacher
conferences conducted as
needed
Use of Technology
• Graphing calculator
o TI-Nspire with TI-84 faceplate
o TI-84, TI-83 families
• Use of Internet tools to conduct
mathematical investigations
o GeoGebra
• Use of Internet tools to improve
mathematical communication
o Schoology
o Discussion Forum
American Mathematics Competitions
http://amc.maa.org
• Mission
o Increase interest in mathematics
o Develop problem solving through a
fun competition
o Challenge students with interesting
mathematical questions
• AMC 8 (grade 8 and below)
o Administered in November
o 25 questions, 40 minutes
o Content through Prealgebra
American Mathematics Competitions
http://amc.maa.org
• AMC 10 (grade 10 and below)
o Administered in February
o 25 questions, 75 minutes
o Content through Algebra II
• AMC 12 (grade 12 and below)
o Administered in February
o 25 questions, 75 minutes
o Content through Precalculus
American Mathematics Competitions
http://amc.maa.org
• AIME
o Administered in March
o 15 questions, 3 hours, integer
answers
o AMC 10/12 top 2.5%/5%
o Content through Precalculus
o 7,185 participants
• USAMO/USAJMO
o Administered in April
o 500 participants
Student Panel Q&A
• Duncan Rheingans-Yoo, OMHS
• Colin Murphy, EMMS
• Irene Lu, HMS
• Peter Jen, LKMS
• Daniel Mahoney, HCMS
Student Panel Q&A
• Why did you decide to
participate in the accelerated
math program?
• How did your learning
experiences as a student in this
program compare to your prior
experiences?
Student Panel Q&A
• How was the adjustment from
having math every day to the
once-a-week class schedule?
• Describe your success working
independently. How much extra
support did you need?
Student Panel Q&A
• How has the use of technology
enhanced your learning?
• What is the most significant
thing you have learned about
yourself as a result of
participating in this program?
Student Panel Q&A
• How did participation in the
program impact your high
school experience?
Conclusion
• Please return consent forms and
student self-evals by May 30th.
• You will be contacted during the
summer via email to register for
Schoology and receive your first
assignment.
Mrs. Krummel
[email protected]
http://mrskrummel.com