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IB Mathematics SL Exploration:
Here are some helpful files and links for your project.
The Math IA is often thought of surprisingly hard to write, and that makes sense.
I mean, how many times have you ever been asked to write a Math Essay? We've constantly been writing at length about literature, the global economy, and the humanities but very rarely about mathematics.
Hence, when most students begin brainstorming about the Math IA, they try to think of topics that will allow them to write a lot of stuff (so that they can easily fulfill that world limit) but at the same won't be too hard to write about it.
This is the wrong way to go about it.
The Math IA requires a systematic approach; you need to analyze the criteria really closely and see what you can do to maximize your score in each section.
Funnily enough, you don't have to be super great at math to do well. It'll about knowing exactly what you need to write, how you need to write it, and the little things that examiners are looking for.
That being said, some ideas that have worked well for people I know in the past are:
 Rubric
 Student Guide on how to structure the Exploration
 200 Potential Topics
 More Project Ideas with some links
The Math IA is often thought of surprisingly hard to write, and that makes sense.
I mean, how many times have you ever been asked to write a Math Essay? We've constantly been writing at length about literature, the global economy, and the humanities but very rarely about mathematics.
Hence, when most students begin brainstorming about the Math IA, they try to think of topics that will allow them to write a lot of stuff (so that they can easily fulfill that world limit) but at the same won't be too hard to write about it.
This is the wrong way to go about it.
The Math IA requires a systematic approach; you need to analyze the criteria really closely and see what you can do to maximize your score in each section.
Funnily enough, you don't have to be super great at math to do well. It'll about knowing exactly what you need to write, how you need to write it, and the little things that examiners are looking for.
That being said, some ideas that have worked well for people I know in the past are:
 Modelling an object's flight path or any physical quantity (this allows for loads of mathematics and allows you to go beyond the curriculum  something which examiners love).
 Zeno's paradox has scored highly in the past  research it.
 If you're more of a geometry type of person, maybe look into Tangrams (how many different ways different size shapes can be fitted together).
 If you like calculus, look at something very fundamental; why is e the base of the natural logarithm function? This is fascinating stuff.
Calendar :
The monthly schedule is always tentative and therefore subject to change if we need more time on a particular topic or an extra day to review before a test.
Notes and Videos :
Derivatives:
For77 12/15 Calculus Day 1  Intro  Notes
12/16 Calculus Day 2  Limits  Notes
12/19 Calculus Day 3  More Limits  Notes
12/20 Calculus Day 4  Derivative  Notes
12/21 Calculus Day 5  HW and Intro to Applications  Notes
12/22 Calculus Day 6  Derivative at a point  Notes
12/23 Day before break  celebration/video day
HOLIDAY BREAK
1/3 Calculus Day 7  Tangent and Normal Lines  Notes  Lesson video (no sound :( )  HW Answers PDF  HW Answers Video
1/4 Calculus Day 8  Chain Rule  Notes  Lesson video  HW Answers PDF  HW Answers Video
1/5 Calculus Day 9  Other Types of Functions  Notes  Lesson Video  HW Answers PDF  HW Answers Video
1/6 Calculus Day 10  Product and Quotient Rules  Notes  Lesson Video  HW Answers PDF  HW Answers Video
1/9 Calculus Day 11  Applying Multiple Rules  Notes  Lesson Video  HW Answers PDF  HW Video 17 Video 810
1/10 Calculus Day 12  Kinematics  Notes  Lesson Video  HW Answers PDF  HW Answers Video
1/11 Calculus Day 13  Review PDF
1/12 Calculus Day 14  Review PDF
1/13 Calculus Day 15 
1/16  No School MLK Jr Day
1/17  Calculus Day 16  Optimization  Notes  Lesson Video  HW Answers PDF  HW Answers Video
1/18  Calculus Day 17  2nd Derivative Test  Notes  Lesson Video  HW Answers PDF  HW Answers Video
1/19  Calculus Day 18  Calc Quiz Review Answers PDF  Review Videos #s 14  #s 57
1/20  More review (class voted to postpone quiz)
1/23  Field Trip  no HW
1/24  Regents Exams
1/25  Regents Exams
1/26  Regents Exams
1/27  Regents Exams
1/30  No school  Teacher PD Day
1/31  QUIZ Take 1
2/1  PDF of Quiz Take 1 Answers  Video of Quiz Answers Explained
2/2  Study for Requiz
2/3  Requiz
2/6  Take one more look with corrected pretest in hand
12/16 Calculus Day 2  Limits  Notes
12/19 Calculus Day 3  More Limits  Notes
12/20 Calculus Day 4  Derivative  Notes
12/21 Calculus Day 5  HW and Intro to Applications  Notes
12/22 Calculus Day 6  Derivative at a point  Notes
12/23 Day before break  celebration/video day
HOLIDAY BREAK
1/3 Calculus Day 7  Tangent and Normal Lines  Notes  Lesson video (no sound :( )  HW Answers PDF  HW Answers Video
1/4 Calculus Day 8  Chain Rule  Notes  Lesson video  HW Answers PDF  HW Answers Video
1/5 Calculus Day 9  Other Types of Functions  Notes  Lesson Video  HW Answers PDF  HW Answers Video
1/6 Calculus Day 10  Product and Quotient Rules  Notes  Lesson Video  HW Answers PDF  HW Answers Video
1/9 Calculus Day 11  Applying Multiple Rules  Notes  Lesson Video  HW Answers PDF  HW Video 17 Video 810
1/10 Calculus Day 12  Kinematics  Notes  Lesson Video  HW Answers PDF  HW Answers Video
1/11 Calculus Day 13  Review PDF
1/12 Calculus Day 14  Review PDF
1/13 Calculus Day 15 
1/16  No School MLK Jr Day
1/17  Calculus Day 16  Optimization  Notes  Lesson Video  HW Answers PDF  HW Answers Video
1/18  Calculus Day 17  2nd Derivative Test  Notes  Lesson Video  HW Answers PDF  HW Answers Video
1/19  Calculus Day 18  Calc Quiz Review Answers PDF  Review Videos #s 14  #s 57
1/20  More review (class voted to postpone quiz)
1/23  Field Trip  no HW
1/24  Regents Exams
1/25  Regents Exams
1/26  Regents Exams
1/27  Regents Exams
1/30  No school  Teacher PD Day
1/31  QUIZ Take 1
2/1  PDF of Quiz Take 1 Answers  Video of Quiz Answers Explained
2/2  Study for Requiz
2/3  Requiz
2/6  Take one more look with corrected pretest in hand
Sequences:
2/7  Sequences  review of prior knowledge Lesson 1 Video, Notes, Problems  Problem Answers  Lesson 2 Revised (watch for HW)
2/8  Problem Set 2 For Classwork (PDF, Answers)  Lesson 3 Video (watch for HW)
2/9  SNOW DAY
2/10  Problem Set 3 For Classwork (PDF, Answers) No HW
2/13  SNOW DAY
2/14  Lesson 4 Video (watch in class) Problem Set 4 For Classwork (PDF, Answers)  Lesson 5 Video (watch for HW)
2/15  Problem Set 5 For Classwork (PDF, Answers)  Lesson 6 Video (watch for HW)
2/16 Problem Set 6 For Classwork (PDF, Answers)  Study for Pretest  Review VIDEO
2/17  Pretest  NO HW for VACATION!!!!!
2/20  No School  Winter Recess
2/21  No School  Winter Recess
2/22  No School  Winter Recess
2/23  No School  Winter Recess
2/24  No School  Winter Recess
2/27  Finish HW Quiz  No HW
2/8  Problem Set 2 For Classwork (PDF, Answers)  Lesson 3 Video (watch for HW)
2/9  SNOW DAY
2/10  Problem Set 3 For Classwork (PDF, Answers) No HW
2/13  SNOW DAY
2/14  Lesson 4 Video (watch in class) Problem Set 4 For Classwork (PDF, Answers)  Lesson 5 Video (watch for HW)
2/15  Problem Set 5 For Classwork (PDF, Answers)  Lesson 6 Video (watch for HW)
2/16 Problem Set 6 For Classwork (PDF, Answers)  Study for Pretest  Review VIDEO
2/17  Pretest  NO HW for VACATION!!!!!
2/20  No School  Winter Recess
2/21  No School  Winter Recess
2/22  No School  Winter Recess
2/23  No School  Winter Recess
2/24  No School  Winter Recess
2/27  Finish HW Quiz  No HW
Probability and Statistics:
2/28  Probability Day 1  Lesson 1 Video  No HW
3/1  Problems Set 1 For Classwork (PDF, answers)  Lesson 2 Video (watch for HW)
3/2  Problems Set 2 For Classwork (PDF, answers)  Lesson 3 Video (watch for HW)
3/3  Problems Set 3 For Classwork (PDF, answers)  no HW
3/6  Lesson 4 Video (watch in class )Problems Set 4 For Classwork (PDF, answers)  No HW
3/7  Lesson 5 Video (watch in class)Problem Set 5 For Classwork (PDF, answers)  Lesson 6 Video (Watch for HW)
3/8  Problem Set 6 For Classwork (PDF, answers)  Lesson 7 Video (Watch for HW)
3/9  Problem Set 7 For Classwork (PDF, answers)  Lesson 8 Video (Watch for HW)
3/10  Problem Set 8 For Classwork (PDF, answers)  No HW
3/13  Problem Set 9 For Classwork (PDF, answers)  Lesson 10 Video (Watch for HW)
3/14  SNOW DAY
3/15  SNOW DAY
3/16  Problem Set 10 For Classwork (PDF, answers)  No HW
3/17  Review Problems for Probability Quiz (PDF, answers posted by Monday)
3/20  I'm Baaaaaaack! a hahahahahahaaaaaaa! Let's do some more review
3/21  Probability Quiz
3/1  Problems Set 1 For Classwork (PDF, answers)  Lesson 2 Video (watch for HW)
3/2  Problems Set 2 For Classwork (PDF, answers)  Lesson 3 Video (watch for HW)
3/3  Problems Set 3 For Classwork (PDF, answers)  no HW
3/6  Lesson 4 Video (watch in class )Problems Set 4 For Classwork (PDF, answers)  No HW
3/7  Lesson 5 Video (watch in class)Problem Set 5 For Classwork (PDF, answers)  Lesson 6 Video (Watch for HW)
3/8  Problem Set 6 For Classwork (PDF, answers)  Lesson 7 Video (Watch for HW)
3/9  Problem Set 7 For Classwork (PDF, answers)  Lesson 8 Video (Watch for HW)
3/10  Problem Set 8 For Classwork (PDF, answers)  No HW
3/13  Problem Set 9 For Classwork (PDF, answers)  Lesson 10 Video (Watch for HW)
3/14  SNOW DAY
3/15  SNOW DAY
3/16  Problem Set 10 For Classwork (PDF, answers)  No HW
3/17  Review Problems for Probability Quiz (PDF, answers posted by Monday)
3/20  I'm Baaaaaaack! a hahahahahahaaaaaaa! Let's do some more review
3/21  Probability Quiz