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Extended essay

Please find the IB extended Essay guide here. For Mathematics specific information read pages 295 - 302.

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Resources for AMC

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Resources to practice Optimization (SL)

See Khan Academy for additional videos.

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Resources for self study (HL)

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Other resources

Factoring: I found this wonderful resource that you can use to practice the different cases of factorization of polynomials. Please download it from here. For theory see here

Rational expressions and Functions: If you are still having difficulties recognizing rational functions and simplifying expressions, then please take a look at this chapter. I recommend reading through the explanations and examples and, after doing so, check your knowledge and understanding by working out the following problems:

page 494-495, Exercises 7.1. Problems 32 to 48, problems 55 to 66, and, problems 71 to 76.

Properties of Limits: For practice on the properties of limits, please take a look at exercise 12.2 on the Pre-calculus by Stewart, starting on page 897. I recommend doing the following problems: 1-8, 14, 15, 17-20, 25, 26, 33, 34.

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Logarithms!

So you feel uneasy about logarithms! Suffer no more, follow the following documents to learn and understand them more!

Step 1: Watch this video:

Step 2: Check your understanding!

Read the following explanation and examples. This is a cool resource available on the internet, originally on this link.

Step 3: Practice time!

Here! Same resourceas on step 2, but only focusing on exercises. Only practice will guarantee the automatization of this process.

Step 4:

This resource found online provides explanations of the propertie of logarithms and how they can be used to simplify expressions and solve equations: