Hello everyone! I hope everyone is having a good week so far!

I tend to find a lot of comfort in productivity and even when I am doing something fun, there is often something constructive I intend to accomplish through the activity. So.... I have been meaning  to read the Bible more and to work on my Spanish skills more and I found a way to do both at the same time! Super cool!

The image below is sort of hard to see so let me explain. I will also link the image below

So what I found is that you can have more than one Bible translation open at the same time at bible.com and that they do not have to be in the same language. The button to do this is in the top left right underneath the webpage home button. 

Above I have Ephesians 1 open (link) in the New Living Translation and the Spanish equivalent, Nueva Traducción Viviente.

PS. The NLT is my absolute favorite and I highly recommend! Its very easy to understand and just really encouraging. 

So far reading the Bible in Spanish has been super fun and I have actually understood a surprising amount of the Spanish. Because we do not learn many religious words at school, it has also taught me a lot of new vocabulary. 

Spiritually, I think reading the Bible in my second language is almost letting me see it anew. A few days ago I read two of my favorite passages Luke 15 and Psalm 91 and Psalm 91:15 really stood out to me... I was almost in tears, haha even though I have probably read this chapter 100 times before. 

Salmos 91:15 NTV
Cuando me llamen, yo les responderé; estaré con ellos en medio de las dificultades. Los rescataré y los honraré.

In English, it reads: When they call on me, I will answer; I will be with them in trouble. I will rescue and honor them.

It was like I was a small child again learning to read and being extremely excited to finally understand a written thought.

Spanish has a billion tenses but the last sentence "I will rescue and honor them" is written in the "We are absolutely sure that this will happen in the future" tense. Isnt that encouraging? Its not "I could rescue them..."  or "I would rescue them" or "I might think about rescuing them if it is convenient" but "LOOK. I AM GOING TO RESCUE MY PEOPLE" and I mean this is God talking so you cant really argue with that. 

I do not believe that you can use the parallel Bible feature through the mobile app, but if you have the chance to check out the bible.com website, maybe try reading a passage in your second language and seeing if you like it? You do not have to have an account (accounts are free) to use the website although I find having one is convenient because I use both the website and app. 

You also don't have to use a Spanish translation, there are many other languages as well. 

Hello! Today I want to share a very cool video by a lovely woman named Lilly Jarlsson. She makes wonderful Youtube videos about retro things but her personality is not very traditional and close-minded. 

In fact, I think that the acceptance and boldness she encourages in this video is very revolutionary :)

I really like it and you definitely should watch this video (as well as her other videos). She is very sweet and beautiful and I absolutely love her voice. 

Is it just me or do you think so too? You should leave me a comment with your thoughts, haha :)

So I just finished my Calc 2 class with the highest marks in the class and I wanted to put together a “guide” on how to study for calculus. It doesn’t matter if you are taking AP Calculus or Calculus in college, this guide should be a general overview but I will mention some specifics to AP Calc. 

General Tips

• Buy the AP CALC review books. Regardless of whether you are in college calculus or actually in AP Calculus, the review books are great in condensing materials and having good examples. 
• Create your own cheat sheet. Every time you learn a new formula or theorem, write it down in a cheat sheet. This forces you to recall the information constantly.
  • Know your common derivatives and common integralslike the back of your hand.
  • Fundamental Theorem of Calculus, Part I & II? Yeah, it’s fundamental. Need to know that. 
  • Common limits? Yep, that too. 
• Know your pre-calc and algebra by heart. The hardest thing about calculus is not the formulas and theorems, but recalling past materials to solve a problem. If you could easily recognize trigonometric identities, you would be well set for the class.
  • Know what trig graphs look like and what they approach, etc. 
• Learn how to do the math without a calculator. Some professors don’t let you use calculators on the tests and when you are become too dependent on the calculator, you tend to forget how to do simple addition/subtraction and multiplication/division. Also, there is a non-calculator portion to the AP Calculus Exam, so don’t make your calculator your crutch.
• Practice every day + do your homework. A little practice everyday goes a long way and doing your homework (even if it doesn’t count as a grade) can be a drastic way of improving your grades because chances are, your teacher knows you probably aren’t going to do the homework and will have test questions very similar to the homework questions. 
  • Show all your work. Write all the steps out. If you make a mistake mentally, your whole answer will be wrong. To decrease the chances of loosing points for careless errors, label everything, even if it tedious. Also, work shown can count towards partial credit on tests. 
  • Practice the problems from your textbook + problems outside your textbook.
• Understand and review old tests. When you get your tests back, redo the whole test on another sheet of paper. Try to understand where you went wrong. Was it a simple math calculation error? Did you do the derivative wrong? Was the theorem wrong? Did you forget a step like checking for conditions to apply L’hopitals Rule or Alternating Series Test for Convergence? Whatever it is, go through the entire test (yes, even the ones you got right) and re-do it. 
• Ask for help when you don’t understand something. Solving tough calculus problems are easier when working with a group on a white board because you get a fresh set of eyes and a new mindset/approach to a problem. If you cannot tackle a problem, regardless of how many ways you have tried, it’s best to ask someone who already knows how to do it. 

Resources for AP Calc

• Buy review books. Honestly, this is self-explanatory. I usually would go with a Barron review book, but hey, what ever works with you. 
• Do the previously released AP Calc exams. If you are a BC student, do the release exams for both AB and BC for more practice. 
  • Previously released AB Exams
  • Previously released BC Exams
  • Step-by-step explanations for free response questions release
  • AB Study Guide

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Cheat Sheets + Other ResourcesI advise you to print out the cheat sheets and place it in the front of your calculus binder/notebook or where it can be easily accessed. 


Cheat Sheets

• AP Calculus Stuff You Must Know Cold 
  • This 2-page cheat sheet is honestly god gifted and I advise you to print it out and laminate or something and put it in the front of your calc binder/notes. Will definitely save your life. 
• Algebra Cheat Sheet 
• Trigonometric Cheat Sheet
• Calculus Cheat Sheet
• Derivatives and Limits
• Integrals

Online Tutorials + Videos

• Khan Academy
  • Differential Calculus
  • Integral Calculus
• Paul’s Online Math Notes
• HippoCampus

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Online Calculators

• Symbolab’s Calculus Calculator
  • The most beautiful thing to ever exist when you are checking your answers or looking for the steps on how to do a problem.
  • Don’t rely on it too much. Actually learn how to do it. 
• Wolfram Alpha
  • Implicit Differentiation Calculator
• Desmos Online Graphing Calculator
  • Bet you don’t know how to graph an x-function on that TI-84 without solving it out for y. But it’s cool, neither do I. That’s why I rely on Desmos’ Online Graphing Calculator.

​Source: studygene