# SAT / ACT Prep Online Guides and Tips

IB Math SL and IB Math HL are two of the toughest classes in the IB curriculum. It’s no surprise if you need a little extra help in either class.

I’ve compiled this article using the best FREE online materials for IB Math SL/HL, so you can get all the IB Math notes you need in one place. For convenience, I ordered the resources following the IB Math SL/HL syllabus.

## How To Use This IB Math Guide

If you’re in search of information on one topic, use the Command + F function on your computer to search this guide for that one topic. For instance, if you want to read about Algebraic Sequences, use Command + F to bring up the search function. Type “Algebraic Sequences,” and you’re computer will show you all of the study materials for Algebraic Sequences.

I split the material into 3 categories:

• Longer Notes: notes (generally 3-10 pages) that provide a more detailed review.
• Quick Reference: brief (typically one-page) summary of a subject if you only need a quick refresher.
• Video: demonstration videos of how to solve past paper problems related to the subject.

## How To Use This Guide During the School Year

Take advantage of this guide throughout the year to help you prepare for your in-class tests. Look at this article if you need extra help or if you didn’t fully understand your teacher’s explanation. Make sure you master each topic during the school year and don’t wait to cram until the week before the exam.

## The Best Study Practices for IB Math HL

Practice related IB Math past paper questions as you learn each subject. You can find out how to access FREE IB Math SL/HL past papers in our other article. If you’re having a hard time understanding your teacher’s lectures, you should be reviewing the corresponding chapter in a textbook or in this study guide.

## Common Study Errors IB Math SL/HL Students Make

IB Math SL/HL cover a lot of material. With so much material, you can’t afford to fall behind because you won’t be able to catch back up. You need to master the subjects during the school year in order to excel on the IB Math SL/HL papers. Common errors are:

1. Ignoring the material you don’t understand. If you didn’t understand it from your teacher, you need to look for outside help, possibly in this IB Math study guide or for even more help consider tutoring.
2. Only studying right before the IB Math SL/HL papers. As I said before, there are too many topics for both courses to master in only a couple weeks (that’s why these courses are spread over a couple years). Master the subjects when you’re learning them in class. Use this study guide or hire a tutor if you need extra help:

## Core Topics - 140 Hours for SL and 182 Hours for HL

For IB Math SL and HL, all students study the topics listed below. Here are a complete set of IB Math notes:

### Topic #1: Algebra

• Longer Notes:
• Packet: Series, Complex Numbers, Differentiation FP
• Packet: Complex Numbers, Theorem of Algebra, Modulus, Exponential Form, Nth Roots of Unit
• Packet: De Moivre's Theorem, Expansions for Trig Functions, Derivative of sin x
• Quick References:

### Topic #2: Functions & Equations

• Longer Notes:
• Packet: Indices, Surds, Linear, Quadratics, Cubics, Inequalities
• Packet: Functions, Graphs, Polynomials
• Quick References:

### Topic #3: Circular Functions and Trigonometry

• Longer Notes:
• Packet: Trigonometry
• Packet: De Moivre's Theorem, Expansions for Trig Functions, Derivative of sin x
• Quick References:

### Topic #5: Statistics and Probability

• Longer Notes:
• Packet: Statistics Definitions, Charts and Graphs, Representing data, Standard Deviation
• Packet: Sets and Probability, Permutations and Combinations, Distributions
• Quick References:

### Topic #6: Calculus

• Longer Notes:
• Packet: Differentiation, Max/Min, Parametrics, Kinematics
• Packet: Integration, Differentials, Even/Odd Functions, Induction
• Packet: Harder Integration Questions
• Quick References:

## Options - 48 Hours for HL Only

IB Math HL students study one of the following 4 options:

### Topic #7: Statistics and Probability

• Longer Notes:

## What’s Next?

Want to improve your SAT score by 240 points or your ACT score by 4 points? We've written a guide for each test about the top 5 strategies you must be using to have a shot at improving your score. Download it for free now:

Dora Seigel

As an SAT/ACT tutor, Dora has guided many students to test prep success. She loves watching students succeed and is committed to helping you get there. Dora received a full-tuition merit based scholarship to University of Southern California. She graduated magna cum laude and scored in the 99th percentile on the ACT. She is also passionate about acting, writing, and photography.

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