IB Math

• GDC

  • When finding an area, it is easier to draw a graph than to input it into the calculator.
  • When solving simultaneous equations, it is much easier and more reliable to use the calculator’s functions.
  • When finding d/dx=0, it is better to rely on the calculator instead of calculating it seriously.

• IBMathP1

  • It is not advisable to dwell on difficult problems even if there is some extra time.
  • If you can’t figure out a problem after thinking about it for a while, it’s better to skip it and come back to it later. Often, ideas come to mind when time is left.

• IBMathP2

  • Since there is not much time, it is important to solve problems quickly and efficiently.
  • Pay attention to the keyword “exact”. If it is mentioned, using the GDC is not allowed.

• IBMathP3

  • This is a new format.
  • It is the most enjoyable to solve.
  • Time is quite tight.
    • In the first attempt, it’s okay to not be able to solve some questions.
    • Focus on speed rather than the rigor of the answers.
  • Points to note:
    • Unless it is a proof question, there is no need to explain rigorously.
      • There is no need to explicitly mention the sides of a triangle, for example.
    • The stance seems to be that as long as the necessary equations are present, the answer is okay.
      • On the contrary, it seems better to write the equations in more detail if possible.
      • For example, x/2=a, x=2a, with that level of detail if there is time.
    • If you are not sure how much to write, it is better to focus on fewer words and more equations.
  • Tips for solving the last question:
    • If you don’t understand, make sure to check the given conditions.

• Tips for answering:

  • It is not necessary to break down the calculation process into too much detail.
  • It seems that what matters is showing a relationship between something using equations.
  • Be aware of the score and check if the solution is really correct.
    • Especially for probability problems, if the solution is too simple for a 6-point problem, it should be doubted.

• Study plan:

  • Start by practicing topics that you are unsure about to resolve any doubts.
  • After that, solve many IBMathP3 problems.
    • It requires the most practice, can be done in a short time, and is relatively enjoyable.

• Topics of concern:

  • Vectors:
    • Lack of practice is the main reason for difficulty.
  • Probability:
    • If you can remember what you learned in the past, it should be okay.
  • Difficult integrals:
    • Lack of practice.

• Exam preparation:

  • Q. I found past papers of “Further Mathematics HL” and “Mathematics HL”, which should I use to prepare for Math AA HL?

  • Mostly Math HL. Some question types might be found in Further math.

  • For example integration by parts, Maclaurin series, and differential equations.

• Review and practice the material covered since the end of 11th grade:

  • To do:
    • Solve any problems from the textbook that have been moved.
    • Kognity’s exam style questions.
  • Topics covered:
    • Oblique functions and statistics.
    • Calculus.
  • Thoughts (only important ones):
    • Statistics: I’m afraid of making small mistakes.
      • It might be helpful to be able to intuitively understand variance by looking at tables.
    • I’m starting to understand how to use the calculator.
      • Naming variables when creating tables, for example:
        • Since using x or y can cause conflicts, use the initials of nouns. Use two characters to represent square, and use f as the initial of frequency.

• Common writing mistakes:

  • In integration, the lack of writing intermediate steps makes it confusing.
    • Especially for integration by parts, it seems better to learn how to create tables.
    • Often make the mistake of multiplying coefficients twice, be careful.

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• Memo to future self for exam preparation:
  • It might be important to be able to predict how partial points are awarded based on the questions.
    • Especially for Mathematical Induction, it would be sad not to pick up all the points.
      • It would be good to list the necessary items.
  • Write the solutions to proof questions neatly.
    • Even if it’s not too elaborate, I don’t want to have arrows connecting messy steps.
    • I haven’t had the consciousness to write it neatly at all, but I think that as long as I have that consciousness, I can reach a level where it’s not a problem (blu3mo).- Numbering the equations may prevent confusion with arrows (takker)
  • Add $\cdots ①$ or $\text{—}①$ at the end
  • Refer to them as “substituting $n=k+1$ into $①$,” “differentiating both sides of $①$,” “from $①\wedge ②$,” etc. when using them
• I want to confirm if using my own style of mathematical induction is acceptable for the actual exam
  • Is “P(n) is true” the correct notation?
  • I think it’s fine (takker)
    • If you want to make it more mathematical, maybe use $P(n)⟺\top$
    • If using symbols from proof theory, it would be $⊢P(n)$, but some teachers may not understand it
    • So, maybe $\therefore P(n)$ is the safest option?
• I’m quite worried about the topics after the final midterm, so I want to study them properly during the summer break
  • Especially the topic of Integration