Accelerated G/T Mathematics ProgramOrientation Session 2012

Mrs. Krummelmichelle_krummel@hcpss.org

http://mrskrummel.com

by J.A.H. Hunter

The lucky cats in Stratton StreetHad seven mice apiece to eat.

The rest made doWith only two:The total scoreBeing twenty-four.

How many cats ate mousie meat?

A Tale of the Cats

• 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

What is Algebra?

A Tale of the Cats

Symbolically:

Numerically:

7x +2y = 24

x y0 121 8.52 5

Graphically:

• 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

What is Geometry?

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.

• 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

What is Discrete Mathematics?

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 calculatoro TI-Nspire with TI-84 faceplateo TI-84, TI-83 families

• Use of Internet tools to conduct mathematical investigationso GeoGebra

• Use of Internet tools to improve mathematical communicationo Schoologyo Discussion Forum

American Mathematics Competitionshttp://amc.maa.org

• Missiono Increase interest in mathematicso Develop problem solving through a

fun competitiono Challenge students with

interesting mathematical questions

• AMC 8 (grade 8 and below)o Administered in Novembero 25 questions, 40 minuteso Content through Prealgebra

American Mathematics Competitionshttp://amc.maa.org

• AMC 10 (grade 10 and below)o Administered in Februaryo 25 questions, 75 minuteso Content through Algebra II

• AMC 12 (grade 12 and below)o Administered in Februaryo 25 questions, 75 minuteso Content through Precalculus

American Mathematics Competitionshttp://amc.maa.org

• AIME o Administered in Marcho 15 questions, 3 hours, integer

answerso AMC 10/12 top 2.5%/5%o Content through Precalculuso 7,185 participants

• USAMO/USAJMOo Administered in Aprilo 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. Krummelmichelle_krummel@hcpss.org http://mrskrummel.com