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Note From Ace
Hello there, fellow Teen Gorgeous Geek! I’m Ace, and I’ll be your study buddy 🙂
Here, you’ll be able to find resources, tips, and lessons on various topics in Mathematics (sciences pertaining to Astrophysics coming soon). Perhaps the most unique type of post you’ll find is the “Worked Problems” post, which shows you how I would work through some problems involving various math concepts.
So if you’ve gone through the Getting Started On Your Mastery guide and feel ready to tackle Mathematics, go ahead and get to studying! Note that I’ll be adding lots of new content regularly, so be sure to keep coming back 🙂
Exercises—Factors and Multiples
Exercises to test your skills on factors and multiples.
Solving for Side Lengths with Trig Ratios – Worked Problems
Worked ProblemsSolving for Side Lengths with Trig Functions Tip 1: I highly recommend that you write down the SOH CAH TOA definitions while you work these problems. It will help you remember the trig functions, and can help you see how to break down complex problems...
Introduction to the Trig Functions
Intro to TrigonometryIntroduction to the Trig Functions Tip: Use SOH CAH TOA (see at the end of the post) to help you remember the definitions for sine, cosine, and tangent. Call To Practice: If at the end of this lesson you feel like you need more practice with the...
Converting Degrees to Radians – Worked Problems
Worked ProblemsConverting Degrees to Radians Tip 1: Make sure you set up the dimensional analysis to cancel out the units you're converting from and leave your desired units. For example, if you're converting from degrees to radians, put the degrees in the denominator...
Solving Equations with Inverse Trig Functions – Worked Problems
Worked ProblemsSolving Equations with Inverse Trig Functions Tip 1: Need a scientific calculator? The one I personally use is the Desmos Scientific Calculator. Call To Practice: If at the end of this lesson you feel like you need more practice with the basics of...
Simple Working Rate Problems – Worked Problems
Worked ProblemsSimple Working Rate Problems Tip 1: Make sure to convert to get equal units when the units used for the two values are not the same. Call To Practice: If at the end of this lesson you feel like you need more practice with the basics of functions, you...
Solving Multi-Step Equations
Foundations for AlgebraSolving Multi-Step Equations Tip 1: Remember that the Distributive Property states that a(b + c) = ab + ac. This is useful for simplfiying a product of a constant or variable, and an expression in parentheses. Tip 2: To make it easy to solve for...
Percentage and Fraction Changes – Worked Problems
Worked Problems Percentage and Fraction Changes Tip 1: Make sure to convert to get equal units when the units used for the two values are not the same. Call To Practice: If at the end of this lesson you feel like you need more practice with the basics of functions,...
Evaluating Logarithms Using the Change of Base Formula
Intro to LogarithmsEvaluating Logarithms Using the Change of Base Formula Tip 1: Need a scientific calculator? I recommend the Desmos Scientific Calculator, which I personally use, and which you can find on desmos.com/scientific. Call To Practice: If at the end...
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