“What I Eat In A Day”

wheel of the year 

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Today, I’m going to talk about AP Calculus! It has a reputation as one of the hardest AP courses, not without desert; it is heavy with concepts and requires a high degree of proficiency in all the math that comes before it. It is also enormously useful for a variety of fields, from architecture to medicine, and can be a lot of fun to do! Some tips:

Prepare

Most AP Calc courses come after a substantial list of prerequisites: Algebra 1 and 2, Geometry, Trigonometry, and whatever your school calls the mish-mash of topics falling under pre-calculus. It is imperative to be comfortable with these when you start; calculus uses all of them.

Specifically:

Know. The. Trigonometric. Circle. Know it like the back of your hand (if you are someone who studies each detail of your hand carefully like the weirdo who came up with this saying)

Make sure you know the trigonometric identities too, back and forth.

You will need the formulas from Geometry. These aren’t as hairy as the trigonometric ones imo, but still good to know so you don’t have to relearn them later.

Make sure you are comfortable with algebraically changing expressions from one form to another. Factoring and reducing expressions will be super important.

If you have a hard time with any of these, it’s ok; you can review them! If you find that you have forgotten anything you need during your course, see if you can find some excercises in it online or in a book, and do a few so that you are comfortable with it.

Practice

AP Calc involves some proofs, but most of the course is about learning how to do specific types of operations. The best way to prepare is to just do the problems you are assigned for homework, then do more as time passes or if you have a hard time with a particular one.

Memorize formulas as they are introduced. Review them often. Do problems with them.

If you do not understand a concept:

Try to break down why. Do you understand part of it? Write down what you know. See what it is that is stopping you.

Try drawing a picture. Label it. See if you can relate your problem to the visual geometry.

Try working a problem. See where you stop understanding it. Ask yourself why you are doing each step. See if you can explain to yourself.

Look at a worked problem. Explain each step to yourself. See where you stop understanding.

If there a proof involved? Work through the proof, making sure you understand each step. This can give you a solid foundation.

Go to your teacher or a friend with specific questions.

The FRQs and MCQs from previous tests are a goldmine. Do every one you can get your hands on. For FRQs, compare your answers to the model answers given on the College Board website. Mark everything you do wrong. Try to remember it and do it right next time you do a similar problem.

FRQs are great because they tend to incorporate multiple concepts, giving you practice, and they also follow similar patterns. Getting used to those patterns is really helpful.

The Test

Do some full practice tests. Time yourself. Note the concepts you get wrong and review them. Ask someone about things that give you trouble.

Make sure you know all your formulas well.

Make sure you can do everything you will need to with your calculator.

Part of the test is no-calculator. Make sure you can do the sort of problems which appear there without your calculator.

When you take the test:

Sleep.

0/10 do not recommend late night cramming the night or two before the test.

Change your calculator’s batteries. Just so you’re certain it won’t die on you.

Have something to drink on you.

On the MCQs, skip problems you can’t do quickly and come back to them. I recommend:

Doing all the easy problems first. The ones that you get instantly. Just read the rest.

Come back and do the ones you need some time for. Ignore any if you have no idea how start or take a lot of time.

Come back for these on the third pass.

They’re all worth the same amount, so don’t worry about specific ones; just get as many as you can right.

Show. You. Work. On the FRQs. Write down everything you can.

If you don’t know how to do the first part of a problem, but the second part relies on it, just pick a number you think is reasonable for the answer to the first part, and use it. You can still get credit for the second part if you use that number correctly.

Don’t stress out too much. Even if you feel terribly, it is quite possible that you did will.

For illustration, I took BC, and I literally cried after the test, because I thought I did terribly. I got a five. The percentage you need to get right to do well is low, and how you feel does not predict how you do.

Take a bit of time for yourself afterwards. It’s going to be May. The weather will be beautiful. Breathe it in. :)

my posts on:

ap in general

ap english literature

ap us history

ho ho holy shit it’s december first (1st)

Cottagecore aesthetic 🍄🌿

A Midnight Ritual if You Cannot Sleep Because You Are Worrying About a Confrontation or Crisis in the Morning

You will need:

A dark-blue candle

A small bowl of salt

Paper and a pen

A bowl of soil

A small, lidded plastic container

A blue pen

Timing:

Midnight, called the time of the dark sun, indoors or in the garden.

The spell:

Light the candle and, looking into the flame, say: “The dark sun across the word does shine, but let all be peaceful in this place of mine.”

Sprinkle a few grains of salty into the flame, saying: “The sun will rise again at dawn, ‘til then I consign all fear ‘till morn.”

On the paper, write over and over again the fears and the worries that are troubling you. Tear off just a corner and singe it in the candle flame. (Have a bowl of soil ready in case it catches fire.)

Extinguish the candle, and put the folded paper and the singed corner, burned or not, into a small plastic container in the freezer.

Dispose of the plastic container and its contents the next morning.

- “1001 Spells: The Complete Book of Spells for Every Purpose,” by Cassandra Eason

PART 2 of Spanish study guide

I hand-wrote these on Muji B-5 paper

(sorry that it’s not perfect)

part 1

AP Chem summary: Chapter 1

1.1

Chemistry: the study of composition, structure, properties, and changes of matter.

Composition of matter relates to the kinds of elements it contains 

Structure of matter relates to the ways the atoms of these elements are arranged 

Property: any characteristic that makes a sample of matter unique 

Molecule: an entity composed of two or more atoms with the atoms attached to one another in a specific way. 

1.2 

States of Matter: the three physical states matter exists in; gas, liquid, solid

There are two types of pure substances: 

Elements: has a single kind of atom and is represented by a chemical symbol (basically anything on the periodic table of elements) 

Compounds: composed of two or more elements joined chemically 

The Law of Constant Composition/ The Law of Definite Proportions

The elemental composition of a pure compound is always the same 

Mixtures: have variable compositions and can be homogeneous mixtures (solutions) or heterogeneous mixtures 

1.3 

Physical and chemical properties can be used to identify a substance 

Physical change: matter does not change its composition (ex: Changes of state; gas to liquid, etc)  Chemical change (Chemical reaction): substance is transformed into a chemically different substance  Intensive properties: independent of the amount of matter examined (internal qualities)  Extensive Properties: relate to amount of substance present (external qualities)  Scientific Method: dynamic process used to answer questions about our physical world; can lead to scientific laws (general rules that summarize how nature behaves) Makes use of hypotheses (tentative explanations) which can be tested and refined into theories that can predict the results of future observations and experiments.

1.4 

Measurements in chem are made using the metric system and SI units. 

length- meter (m), mass- Kilogram (kg), time- second (s).  

Kelvin = Celsius + 273 Celsius = (5/9)(Fahrenheit - 32)  Density = Mass / Volume 

1.5 + 1.6 

All measured quantities are inexact to some extent 

Precision: how closely different measurements of a quantity agree with one another 

Accuracy: how well measurement agrees with the accepted or “true” value 

Significant Figures: one estimated digit, the last digit of the measurement. Certain rules must be followed. 

Dimensional Analysis: a problem solving technique where units play a major role within the calculation using conversion factors (ratios constructed from valid relations between equivalent quantities)  

Nighttime Checklist on a School Night

Alarms set for the morning (triple check)

Go over what’s written in your planner and see what’s marked down for the next day/what you need to do

Back pack ready to go with all materials

Clothes laid out (if you want to be really proactive)

Laptop/phone is charging

Face washed

Medication taken (if applicable)

Coffee/tea ready to brew (if needed)

Water bottle filled and ready to go (stay hydrated)

Easy Oatmeal Cookies

These guys are really really easy to make, and they’re vegan too! These are really healthy, and easy to make from scratch. They come out nice and soft, perfectly chewy like store-bought oatmeal cookies. If you make 16 large cookies, they come out to 51 kcal each and less than 1 gram of fat!

Ingredients:

1 cup unsweetened applesauce (100 kcal)

1.5 quick oats (540 kcal)

0.5 cup oat flour (180 kcal) OR another 0.5 cup quick oats (180 kcal)

2 tsp baking powder (0 kcal)

OPTIONAL: 0 cal sweetener, to taste (I used 1 tbsp)

How to:

Preheat oven to 350 degrees Fahrenheit / 175 degrees Celsius and line a baking tray with parchment paper or a baking mat

Make 0.5 cup oat flour by blending 0.5 cup quick oats until they reach a powder consistency. Skip this step if you’re using pre-made oat flour.

Mix oat flour, applesauce, quick oats, and baking powder in a bowl. Add sweetener to taste and mix well.

Spoon batter onto baking tray, flattening out the dough slightly.

Bake for about 15 minutes, less for smaller cookies. The cookies will be soft at this point, that’s okay!

Wait for them to cool and enjoy :)

If you’re wondering why my cookies are purple, it’s because I used a mix of strawberry-applesauce and blueberry-applesauce :P

Chocolate Chip/Sugar Cookie Dough Bites -5.9/8.4 Calories -Vegan|Dairy Free|Gluten Free

Im going to try to start putting it in picture format too again

With Chocolate Chips:  For the entire thing: 133.9 cals | For one (makes 16): 8.4 cals

Without Chocolate Chips: (vegan) For the entire thing: 95.5 | For one (makes 16): 5.9 cals

Ingredients

2 tbsp oat flour Recipe Here-37.5 cals

½ banana-53 cals

3 tbsp cashew milk-5 cals

16 chocolate chips-38.4 cals

Sprinkle of salt-0 cals

0 cal sweetener to taste (you can let the banana be the sweetener too)

How To

(optional, you can eat raw) Heat oven to 350ºF/177ºC

Mash banana and combine with coconut flour in a small bowl. 

Add cashew milk and stir. 

Sweeten to taste 

Mix in chocolate chips (if you are using) 

Form into balls (I actually form into balls and then press the chocolate chips in) 

If not cooking, store in an air tight container and put in the fridge

If cooking, place in the oven for about 3-5-10-ish minutes, or until they are starting to brown -aka- cook like normal cookies but for a shorter period of time