Math Resources (in the time of COVID)

Calling all students, teachers, and parents!ย  As everyone is stuck at home during a global pandemic, now is a great time we are all forced to try and understand math (and our sanity level) a little bit more.ย  Well, I may not be able to help you with the keeping sanity stuff, but as far as math goes, hopefully, the below math resources offer some much needed mathematic support.

All jokes aside I hope everyone is staying safe and successfully social distancing.  Stay well, math friends! ๐Ÿ™‚

Kahn Academy: The same Kahn Academy we know and love still has amazing videos and tutorials as usual, but now they also have a live “homeroom” chat on Facebook LIVE every day at 12:00pm. The chats occur daily with Kahn Academy founder Sal and at times feature famous guests such as Bill Gates. Click the link below for more:

Math Resources

Khan Academy Homeroom 

Study.com: In a time when companies are being more generous, Study.com is here for us as they offer up to 1000 licenses for school districts and free lessons for teachers, students, and parents.  Check out all the education freebies here:

Study.com

Math Resources

Math PlanetIf you’re looking for free math resources in Pre-Algebra, Algebra, Algebra 2, and Geometry then you will find the answers you need at Math Planet.  All free all the time, find their website here:

MathPlanet 

Math Resources

MathSux: Clearly, I had to mention MathSux, the very site you are on right now! Check out free math videos, lesson, practice questions, and more for understanding math any way that works for you!

MathSux

What is your favorite educational site?  Let me know in the comments, and stay well! ๐Ÿ™‚

Volume of a Cone: Geometry

The Voluminous “Vessel” at Hudson Yards

Calling all NYC dwellers! Have you seen the new structure at Hudson Yards?  A staircase to nowhere, this bee-hive like structure is for the true adventurists at heart; Clearly, I had to check it out!

Where does math come in here you say?  Well, during my exploration, I had to wonder (as am sure most people do) what is the volume of this almost cone-like structure? It seemed like the best way to estimate the volume here, was to use the formula for the volume of a cone!

What do you think the Volume is?

Volume of a Cone

Volume of a Cone:

I estimated the volume by using the formula of a three-dimensional cone. (Not an exact measurement of the Vessel, but close enough!) .

Volume of a Cone
Volume of a Cone

We can find the radius and height based on the given information above.  Everything we need for our formula is right here!

Volume of a Cone

Now that we have our information, let’s fill in our formula and calculate! 

Extra Tip! Notice that we labeled the solution with feet cubed Screen Shot 2019-04-14 at 4.53.49 PM.png, which is the short-handed way to write “feet cubed.”  Why feet cubed instead of feet squared? Or just plain old feet? When we use our formula we are multiplying three numbers all measured in feet:

radius X radius X (Height/3)

All three values are measured in feet! –> Feet cubed (Screen Shot 2019-04-14 at 4.53.49 PM.png)

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Did you get the same answer? Did you use a different method or have any questions?  Let me know in the comments and happy calculating! ๐Ÿ™‚

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Looking to apply more math to the real world? Check out this post on the Golden Ratio here!

Simultaneous Equations: Algebra

In need of a bit of review on Simultaneous Equations?  Well, now is your chance! Learn how to solve these confusing bad mama jamma’s in three different ways and choose which one works best for you!

I’m also excited to introduce my new YouTube page for MathSux!  Hope these new set of videos help.  Let me know if you have any more questions in the comments.  Happy calculating! ๐Ÿ™‚

Need more MathSux in your life?  Follow us on these great sites!

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Why Must We Complete the Square?: Algebra

Completing the Square: So many steps, such little time.  It sounds like it involves a square or maybe this is a geometry problem?  Why am I doing this again?  Why must we complete the square in the first place?

These are all the thoughts that cross our minds when first learning how to complete the square.  Well, I’m here to tell you there is a reason for all those steps and they aren’t that bad if you really break them down, let’s take a look!

Complete the square

Answer: x={-7,3}

Explanation:

I’m not going to lie to you here, there are a lot of seemingly meaningless steps to completing the square.  The truth is though (as shocking as it may be), is that they are not meaningless, they do form a pattern, and that there is a reason! Before we dive into why let’s look at how to solve this step by step:

Complete the square

Feeling accomplished yet!? Confused?  All normal feelings.  There are many steps to this process so go back and review, practice, and pay close attention to where things get fuzzy.

But the big question is why are we doing these steps in the first place?  Why does this work out, to begin with?

For those of you who are curious, continue to read below!

Want more Mathsux?  Donโ€™t forget to check out our Youtube channel and more below! And if you have any questions, please donโ€™t hesitate to comment below. Happy Calculating!

Need more of an explanation?  Check out why we complete the square in the first place here !

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Equation of A Circle: Geometry

Equation of A Circle

Ahoy math friends and welcome to Math Sux! In this post, we are going to learn about the equation of a circle, mainly how to write it when given a circle on a coordinate plane. We’ll see how to find the radius and center from the graphed circle and then see how to transfer that into our equation of a circle. And we’re going to do all of this step by step with the following Regents question. Stay curious and happy calculating! ๐Ÿ™‚

Equation of A Circle

How do I Answer this Question?

Let’s mark up this coordinate plane and take as much information away from it as possible. When looking at this coordinate plane, we can find the value of the circle’s center and the circle’s radius.

Equation of A Circle

Now that found the center and radius, we can fit each into our equation:

Center=(-3,-4)

Radius=5

The only equation that matches our center and radius, is choice (2).

Screen Shot 2016-06-29 at 11.16.29 AM

If the above answer makes sense to you, that’s great! If you need a little further explanation, keep going!

Equation of a Circle:

Equation of a Circle: Let’s take a look at our answer and break down what each part means:

Equation of A Circle

So what do you think of circles now?  Not to shabby, ehh?  ๐Ÿ™‚

Looking for more on circles?ย  Check out this post on how to find the Area of a Sector here!

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Recursive Formula: Algebra

Howdy math peeps! In this post, we are going to go over the recursive formula step by step by reviewing a Regent’s question. Yes, it is the recursive formula jam, well at least it’s my kind of jam.ย  These things may look weird, confusing, and like a “what am I doing?” moment, but trust me they are no so bad!

How do I answer this question?

At first glance, all of these answer choices may look exactly the same. The first thing I would want to do with this question is to identify how all of theses answer choices are different. Take a look below:

What is the Recursive Formula?

A Recursive Formula is a formula that forms a sequence based on the previous term value. All this means is that it uses a formula to form a sequence-based pattern.

Let’s go through each choice to identify the answer:

Our goal is to test out each choice given, until we get the desired sequence:

What is the recursive formula
What is the recursive formula
What is the recursive formula

Still have questions about recursive formulas? Check out more on recursive formulas here!

Still got questions? No problem! Check out the video above for more or try the NYS Regents question below, and please don’t hesitate to comment with any questions. Happy calculating! ๐Ÿ™‚

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Solving Log Equations: Algebra 2/Trig.

Ahoy math friends! In this post, we are going to focus on solving log equations by solving this Regents questions step by step. We’ll answer this question right away! But if you need more of a review, keep reading and you will find what logarithms are, the different kinds of logarithms rules, and some simpler examples. Ready for our first example?! Check it out below:

Screen Shot 2016-06-09 at 8.34.48 PM

How do I Answer this Question?

Step 1: Let’s re-write the equation to get rid of the “log.”

Screen Shot 2016-06-29 at 2.59.16 PM
Solving Log Equations

Step 2: Solve for x in our new equation (5x-1)(1/3)=4

Solving Log Equations

If the above answer makes sense to you, great! If not, that’s ok too, keep reading for a review on solving log equations.

What are Logarithms?

Logarithms are inverses of exponential equations. Take a look below for a clearer picture.

Solving Log Equations

Basic Formula:

Logarithms can be re-written to get rid of the word “log.” This makes them easier to solve and understand.

Solving Log Equations
Solving Log Equations

Log Rules:

There are a few rules you have to memorize get used to with practice. These rules are used when solving for x in different kinds of algebraic log problems:

Solving Log Equations

Still got questions?ย  No problem! Check out the videos below and the post here for more on logarithms! Also don’t forget toย subscribe below to get the latest FREE math videos, lessons, and practice questions from MathSux. Thanks for stopping by and happy calculating! ๐Ÿ™‚

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