HW # 6  correction on last question part b

 

 

Stony Brook University

Mathematics Department

 

Summer II     2009

 

Instructor:  Lauren Pross - Stolworthy

 

Course:   MAT 517   Calculators and Computers for Teachers      (3 credits)

Graphing calculators, programming, computing and curve sketching; Geometers Sketchpad or other computer based classroom tools; educational use of the world wide web.

 

Meeting Times:   Tuesday, Thursday    6 – 925 pm                       Math Tower 4 – 130

                        

Contact Information:     [email protected]                                   Office Hours:         Math 4-101A

                                                                www.geocities.com/laurenpross                                                                            By appt.

                                                                                                                                                                                                                               

Course Requirements:

• Students are required to attend all 12 classes. Failure to do so will result in a lower grade.
• Homework will be assigned during the first 6 classes and due the following class. HW should be on separate pieces of paper, stapled. You will also have two lesson plans due. One using the calculator and one using GSP.
• There will be a quiz given at the beginning of the first few classes assessing students understanding of the previous day’s material.
• A 20 minute presentation teaching your peers a function of the graphing calculator or GSP based on one of your lessons. You will be required to prepare copies of a homework assignment and a quiz for your students.
• A final exam will be given on the last day of class.

 

 

Supplies:     notebook, pen/pencil, TI-83 graphing calculator, graph paper, other supplies TBA

 

Grades:

Homework                          50%                        6 paper assignments and 2 lesson plans

Quizzes                                10%                        given at the start of first few classes

Presentation                       20%                        20 minute presentation using the graphing calculator or GSP

Final Exam                          20%                        based on the calculator - given on the last day of class

 

 

 

 

Disabilities:

 If you have a physical, psychological, medical, or learning disability that may impact your course work, please contact Disability Support Services at http://studentaffairs.stonybrook.edu/dss/ or (631) 632-6748. They will determine with you what accommodations are necessary and appropriate. All information and documentation is confidential. Students who require assistance during emergency evacuation are encouraged to discuss their needs with their professors and Disability Support Services.

 

 

 

We will be Meeting in the Math Tower, fourth floor, room 130 on the following dates:

 

Tuesday, July 14^th

 

Thursday, July 16^th

 

Thursday, July 23^rd

 

Thursday, July 30^th

 

Tuesday, August 4^th

 

Thursday, August 6^th

 

Tuesday, August 11^th

 

Thursday, August 20^th

 

 

 

 

 

We will be meeting in the Math Tower, SL-level (basement), room 235 (SINC Site) on the following dates:

 

Tuesday, July 21^st

 

Tuesday, July 28^th

 

Thursday, August 13^th

 

Tuesday, August 18^th

 

 

 

 

 

 

                                                                                                          

Lesson Plan Requirements                                                                                                                           

 

You must choose a topic from one of the following exams/courses from grades 7 – 12:    8^th Grade Assessment, Integrated Algebra, Geometry, Algebra 2 and Trigonometry, *Pre-calculus, *Calculus A/B. You should the technology as an aid. Students should know how to perform the task without the calculator or GSP (if possible). You are showing us how the calculator/GSP can assist the students in answering questions; not do all of the work for them.

 

Lesson Plan # 1:         Graphing Calculator                       Due: Tuesday, August 4^th

Lesson Plan # 2:         GSP                                                        Due: Thursday, August 13^th

 

Each lesson should include the following:

Aim

**Math Standards

Materials needed

Prior knowledge

Do Now

Motivation

Pivotal questions

Development

Summary

 

• The development is the most important part of the lesson. Describe how you’d go through your lesson. Where you’d ask your pivotal questions, what problems you anticipate will arise, what you are explaining, what you’re eliciting from students, where you’d integrate group work or independent work. It should be like a time line.
• You should have a minimum of 2 pictures or tables inserted. If you have a TI-Graph Link, that’s great, if not, use Word and insert into text boxes. You can make the pictures in GSP, Paint, scanned from a text or steal them from a web image. The clearer the better!

 

 

 

**You should cite the standards being used. Here is a website with the standards. It is from 2004, but it has the new courses included. regents.nysed.gov/meetings/2004Meetings/November2004/mathstandards-part2-nov04.pdf

To avoid looking through the entire document, grade 7 begins on pg. 38 and Integrated Algebra starts on pg. 47.

 

* Some of the standards for these courses can be found within another course. If you can’t find something, make it up.

 

 

                                               

Presentation Requirements                                                                                                                       

 

For the presenter:

You will be teaching the class a 20 minute lesson that will require the use of either the graphing calculator or GSP. You must choose a topic from one of the following exams/courses from grades 7 – 12: 8^th Grade Assessment, Integrated Algebra, Geometry, or Algebra 2 and Trigonometry, Pre-calculus, Calculus A/B. You should use the technology as an aid. Students should know how to perform the task without the calculator or GSP (if possible). You are showing us how the calculator/GSP can assist the students in answering questions; not do all of the work for them. Your presentation represents 20% of your grade. It is based on; accuracy of material covered, presentation, correlation of your HW and quiz to your lesson and ease of use for students ages 12 – 17. You should start thinking of your presentation immediately and whether you’d like to use the calculator or GSP. There will be a sign-up sheet next week.

 

 

Things to bring for your presentation:

• A copy of your lesson plan
• 37 copies of the homework assignment you would assign your class (not all technology based)
• 37 copies of a quiz your class would take the day after this lesson
• A copy of the solutions to both your HW and quiz
• Any additional materials needed for your lesson that you chose to provide

            *If there are materials needed for your lesson that you will not be providing (37 rulers, tape etc.)

             you must remember to inform our class the day before.

 

 

 

For the observer:

Each lesson that is taught will be fair game for material on the final exam. The class work, HW and quiz that are provided by the presenter could contain questions for the final exam.

 

 

 

 

 

 

 

Here are some links you might look at for inspiration:

 

Course transition timeline:                                                                             barronsregents.com/regents-math-format08.html

8^th Grade Assessment:                                                                              nysedregents.org/testing/mathei/09exams/home.htm

Integrated Algebra Standards:                                                                                      emsc.nysed.gov/3-8/MathAlgSample.pdf

Geometry Standards:                                                                                                 emsc.nysed.gov/3-8/MathGeomSample.pdf

Alg 2/Trig Standards:                                                                                            emsc.nysed.gov/3-8/MathAlg2TrigSample.pdf

Past exams:                                                                                                                           jmap.org/JMAP_REGENTS_EXAMS.htm

This one was interesting bc it goes back to 1866!                           jmap.org/JMAP_REGENTS_EXAM_ARCHIVES.htm

GSP ideas:                                                                   dynamicgeometry.com/General_Resources/Classroom_Activities.html

                                                                                                                                                       mathbits.com/MathBits/GSP/GSP.htm

 

 

Possible Topics
Graphing Calculator	GSP
polar graphing simplifying radicals converting polar«rectangular coordinates locus evaluating derivatives programming logic in programming regression basic probability / statistics random number genterators mean, median, mode, Q1, Q3, St.Dev., Var. Inverse Functions Complex numbers/functions Limits Convergence / Divergence	Locus Conic sections polar graphing geometry proofs Work Backwards Geometry Proofs circle theorems parallel and perpendicular lines Coordinate Geometry proofs transformations rational functions classifying functions (linear, quadratic,…) constructions