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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 1-7 Video 8-10
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 1-4 - #s 5-7
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 Re-quiz
2/3 - Re-quiz
2/6 - Take one more look with corrected pre-test 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 1-7 Video 8-10
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 1-4 - #s 5-7
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 Re-quiz
2/3 - Re-quiz
2/6 - Take one more look with corrected pre-test 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 Pre-test - Review VIDEO
2/17 - Pre-test - 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 Pre-test - Review VIDEO
2/17 - Pre-test - 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