Cross Country Travel Tips

Screen Shot 2017-11-12 at 11.35.06 AM.png


Good morning!

Back in July, I promised one more special post about my Cross Country Trip from June, but never got to releasing it. While on the trip, I began brainstorming ideas for this post (in fact, my grandfather suggested the idea for it) and have kept them in a note screen on my phone- until now.

These are genuine tips based upon my experience, and I tried to add some personal touches into a few ideas as well. Here’s my list:

  1. Take pictures- but only so many. I’m so glad to have the photo galleries from my Cross Country trip to reflect upon, but once you’ve taken say, a few dozen or so pictures of the Grand Canyon, put your camera away and physically take in the view. Anyone can view an image, but you’ll want to remember what it actually was like to be there. Savor the views- the sounds, the feel of the air…
    November Featured Photo
    November’s Featured Photo: Flying above the clouds over Lake Michigan during June’s Cross Country trip.
  2. Get the window seat. You won’t regret it. This trip involved me taking my first plane ride since I was 3- and I have a severe fear of heights. But when on the plane, it all went away- I felt safe (in fact, I pictured the plane as just a really, really big car) and was so glad to have the window seat. Between the views of the clouds, the horizon, and the Earth below, the plane made for some of the best views of the trip.
  3. Bring headphones. I find that if I have my headphones in, listening to music, I could zone out for hours on the train just taking in the scenery around us.
  4. At the same time, be alert, too- you never know when you’ll miss something extraordinary, like wild cows roaming along the train tracks.
  5. Talk to people- just because you’re on vacation, doesn’t mean you can just be antisocial. Put work or school behind you. If you’re traveling with someone, talk with them. Traveling can be a great bonding experience- and you’ll be able to share these memories for years to come, like me with my grandfather.
  6. Write things down as soon as you think of them. Keep a journal- this will help you treasure exactly what each memorable moment – like looking down into the Grand Canyon for the first time – felt like.
  7. Talk about it at home- share the best stories of your trip with those back at home. They’ll (probably) want to hear about it, and you might just inspire them to go out and explore the world too.

And most importantly:

  • Take a moment to step back and admire the beauty of nature. You’ll gain such an appreciation for the world around us- the Grand Canyon moved me to tears.
  • Go back. Don’t go somewhere just to say you went there- create for yourself that yearning to return and discover more.

And lastly…

  • When traveling coach overnight on a train, bring a pillow. We learned the hard way on that one. 😅

Thanks so much for reading!

Gabe

Want more stories and photos from this trip? Visit the Traveling Beyond category for many more galleries and highlights from June and future travels to come.

Holidays & Gifts | French Connection

New French Connection Logo.png

Hi there!

While this edition might seem a bit early, I try to correlate my in-class learning with what I publish here.

This edition involves aspects of different holidays (like the 4th of July & Christmas), but also gives vocabulary on different types of gifts for any occasion. Finally, you’ll learn a few phrases that will help you communicate using this vocabulary.

So, here’s the run down. Remember- the topics covered today are in red.

  • Aspects of various holidays
  • Vocabulary regarding gift-giving
  • Communication regarding gift-giving and holidays
  • Clothing Vocabulary (Review)
  • Communication regarding clothing and shopping (Review)

Continue reading “Holidays & Gifts | French Connection”

Algebraic Proofs | It All Adds Up

New It All Adds Up Logo.png

Hi there! Sorry for the delay on this post… High School has kept me very busy.

For the rest of the year, most of our Geometry units will center around writing proofs. A proof is a logical way of proving that a statement is true, and it consists of statements and reasons that logically follow each other. Today, I’m going to teach you about writing algebraic proofs, which involve solving for a variable. Most of the year, though, we will focus on writing geometric proofs, which involve lines, angles, etc. With this post, you’ll get a general idea for what a proof is. However, geometric proofs are something that really have to be taught in a class, or be taught over the course of several days. I can’t really cover that here, and that puts It All Adds Up at a dilemma.

Here’s the plan: in order for you to understand future editions, you will need to research geometric proofs on your own. Learn what they are, how they work, and how you form a proof (since there are so many possibilities for statements and reasons). For It All Adds Up, I’ll be going over the aspects that can be reasons or statements, along with some tips for writing proofs with them.

For today, though, we’ll start simple. We already know how to solve for a variable, such as in x + 68 = 20. Now, each step that we would use to solve that becomes a statement.

Screen Shot 2017-11-11 at 12.23.01 PM.png

Take the 4 step proof above. Each step, from top to bottom, shows how we solve for the value of x. We know that x does equal 38, but how would we prove it? For algebraic proofs, there are several properties that you’ll need to know.

Properties of Equality (For Algebraic Proofs)

Addition POE: When the same value is added to both sides of an equation

Subtraction POE: When the same value is subtracted from both sides of an equation

Division POE: When both sides of an equation are divided by the same value

Multiplication POE: When both sides of an equation are multiplied by the same value

Other Properties (For Algebraic Proofs)

Distributive Property: When a number outside of a parenthesis is distributed to each value within the parenthesis

Now, there are many other properties, postulates, and theorems to come, but for this week, I’ll be focusing on simply solving for a variable (for the purpose of getting you used to proofs) and thus, the properties stated above will be sufficient. I’ll be presenting you with numerous others in future editions.

So let’s fill in the proof.

Screen Shot 2017-11-11 at 12.32.23 PM.png

Here’s another aspect I want to focus on: the given. The given is the starting point of any logical process, and will always be the first step in the proof. It’s what you are, well, given. For example, we’d be given the first equation and then asked to solve for x. As for the other properties, you always want to ask yourself: How did I get from this step to the next step? Your answer will vary- it might be adding 72 to both sides, it might be dividing both sides by three.

Usually, when asked to write a proof, you’ll also be provided with a solution. (This isn’t the case with algebraic proofs, though). That will be your last step. For algebraic proofs, your last statement will be ____ = ____, but with geometric proofs, it can vary. You might have to prove two angles are supplementary, prove two segments are congruent, or two lines are parallel.

I’m learning right along with you- and believe me, it takes me a while to process everything too. But overall, this is a proof. And everything you’ll learn this year from here on out will build on this format. Once you know what a geometric proof can be, I’ll supply you with possible statements and reasons, as well as specific rules and patterns that apply. Do remember though: a proof can have many different solutions.

Thanks so much for reading. Have a great long weekend!

Gabe

 

Niall Horan’s Flicker | In Tune

New In Tune Logo.pngAbout last time…

I’ll be honest- I kind of take back what I said a couple editions ago regarding Louis Tomlinson’s song, “Back To You”. In truth, “Back to You” is nothing extraordinary- sure, it has a good beat, but it’s just another pop song among a million others.

Niall Horan’s new album, Flicker, is different.

Continue reading “Niall Horan’s Flicker | In Tune”