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Accelerated G/T Mathematics Program. Orientation Session 2012 Mrs. Krummel michelle_krummel@hcpss.org 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
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Accelerated G/T Mathematics Program Orientation Session 2012 Mrs. Krummel michelle_krummel@hcpss.org 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 Graphically: Symbolically: Numerically:
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 two-dimensional shapes and three-dimensional 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: • 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 • TI-Nspire with TI-84 faceplate • TI-84, TI-83 families • Use of Internet tools to conduct mathematical investigations • GeoGebra • Use of Internet tools to improve mathematical communication • Schoology • Discussion Forum
American Mathematics Competitionshttp://amc.maa.org • Mission • Increase interest in mathematics • Develop problem solving through a fun competition • Challenge students with interesting mathematical questions • AMC 8 (grade 8 and below) • Administered in November • 25 questions, 40 minutes • Content through Prealgebra
American Mathematics Competitionshttp://amc.maa.org • AMC 10 (grade 10 and below) • Administered in February • 25 questions, 75 minutes • Content through Algebra II • AMC 12 (grade 12 and below) • Administered in February • 25 questions, 75 minutes • Content through Precalculus
American Mathematics Competitionshttp://amc.maa.org • AIME • Administered in March • 15 questions, 3 hours, integer answers • AMC 10/12 top 2.5%/5% • Content through Precalculus • 7,185 participants • USAMO/USAJMO • Administered in April • 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 michelle_krummel@hcpss.org http://mrskrummel.com