[Short Courses] Algebraic techniques lovers (for new DP1s) and trig equations enjoyers (for new DP2s)
Hey y'all!
A little different from my regularly scheduled posts, this time around I'm just gonna make some quick announcements!
For many, a new school year is right around the corner (or already started!) and some of you have apprehensions going into the course, especially AAHL, perhaps due to your friends and upperclassmen scaring you (they're not entirely wrong) or you just realised you're totally out of your depth since day one (oop-). It's not too late to get help.
For new DP1s, a solid foundation of algebra will save you SO MANY MARKS on exams. Every high-performing student will tell you to focus on algebra earlier on because it's worth half of the marks on some questions. Quadratics in trigonometry, simultaneous equations in sequences and series, you name it. The gaps in your basics will come back and bite you if you aren't careful.
For current DP2s, lots of you have a hard time with trig functions, equations and identities. Unfortunately, there's no way around it - you'll see it over and over again in calculus. Using Pythagorean identities (the one with sec and tan) to simplify integrands or just finding the stationary point of a trig function, you simply cannot escape trig.
Throughout the last three years of this blog, I've written several booklets on both algebra (for incoming DP1s) and trigonometry (for incoming DP2s), as well as unit tests for y'all to apply what you've learned, totally free of charge. Take all you need and want; these resources will NEVER go behind a paywall.
That being said, sometimes you need someone to hold your hand through a part of this adventure. The resources that other creators and I have made, even though we try to cater to everyone, might not be sufficient for you. If you're not looking for a long term, ongoing support but need more personalised support to get you back on track, I've got you covered.
Rates starting from 60 USD per hour for a 1-on-1 session, or 45 USD per hour if you find a companion. Due to the nature of these sessions, group sessions (more than 2) aren't effective. No commitment; I'm just supporting you for a small part of the journey then I'll sit back and observe from afar.
Send me a DM at adventurousandrew on Discord or @andrewmaths1 on Twitter and we'll discuss if this is right for you. You can find out more about me here.
Free resources
Please make use of all the free resources I have on site!
For DP1s
Booklet
Foundations of Algebra: making sure everyone's on the same page. First unit of AA or to be done over the summer.
Unit Tests
For DP2s
Booklets
Trig functions (AASL, AAHL, AIHL): Sinusoidal functions covered in IB Maths, designed like a textbook you can use to study.
Further trigonometry (AASL, AAHL, AIHL)
Trig identities (AASL, AAHL) double angle formulae, compound angle formulae and using them fluently to solve equations and inequalities
Surviving Trigonometry - Blogpost
Unit Tests
Trig functions (AASL/AAHL) The start of triangles become circles, v2.
Trig identities (AASL/AAHL) Second part of triangles become circles. And graphs.
Trig functions v2.2 (AASL/AAHL): yet ANOTHER post on trig, this one's definitely more challenging!
Trig identities v2.2 (AASL/AAHL) time for some EXTREME trigonometry!
Course outline
For (future) algebraic techniques lovers:
- linear equations and inequalities
- set notations
- quadratic equations and hidden quadratics
- simultaneous equations with quadratics
- quadratic inequalities
- algebraic fractions
For trig equations enjoyers:
- back to basics - radians, degrees and the unit circle
- obtaining the three trig functions
- basic trig equations
- basic trig identities
- basic trig equations with identities
This is not an advanced course, rather giving you the basics to access calculus or probability questions involving trigonometry. You won't see the big guns - extreme trig equations like some of the 'e' questions on the unit tests. But hey, I wouldn't say no if you have an obsession with trig after the sessions. :P
Best of luck with DP2 folks.
November students, the Sept/Oct mocks will arrive in the mocks server in a couple weeks' time, so shape up and show us what you can do!
Have an enjoyable school year or productive preparation!
Andrew
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