## chain rule

The chain rule tells us how to take the derivative of their composition d/dx(f(g(x)))=f'(g(x)).g'(x)

## German Unification under Otto von Bismarck

During the 1860s, King Wilhelm I led Prussia, and he appointed Otto von Bismarck as the Foreign Minister of Prussia. Bismarck was a shrewd diplomat, and he used force and conquest to get the lands that Prussia needed to become the German Empire. He gave a speech regarding about the German Unification.

## Quotient rule

The quotient tells us how to find derivative of the quotient of two functions. d/dx(f(x)/g(x))=d/dx(f(x)).g(x)-f(x).d/dx(g(x))/(g(x))2

## Homestead Act of 1862

The Great Plains had vast potential to do farming and to bring development for settlers to take the land for themselves to essentially take away the land from the Native Americans.

## product rule

product rule :(f(x)g(x))’=f(x)g'(x)+g(x)f'(x) differentiating trigonometric functions: d/dx(sin(x))=cos(x), d/dx(cos(x)=-sin(x) differentiating logarithmic function: d/dx(ln(x))=1/x

## product rule

Product rule (f(x)g(x))’=f(x)g'(x)+g(x)f'(x) Differentiating Exponential function d/dx(ex)=ex

## Nicholas Copernicus

During the time of the Renaissance in Europe, the Catholic Church was weakening due to its problems and disagreements. Also, some people had begun to question the Catholic Church’s teachings, which was also the wisdom from the Greco-Roman times. This was a revolution of scientific ideas, which was the Scientific Revolution. The wisdom of the…

## product rule

The product rule tells us how to find the derivative of the product of two functions. d/dx(f(x)g(x))=f(x)d/dx(g(x))+g(x)d/dx(f(x))

## Converting(Changing) Fractions To Decimals

Converting fractions to decimals can be a little hard. However, there are ways to do so. You can use division because of the numerator(top part)/denominator(bottom part), like for example, 4/5. When you divide the fraction the numerator is in the inside, and the denominator is on the outside. Add two zeros and move the decimal…

## Long Division

There are two ways to do division with polynomials, which are long(polynomial) division and synthetic division. In these two sample problems, this would only be done through long division. Synthetic division is the shortcut, but it only works with linear factors. You have to find the solution for x, so it can be used in…

## Mitosis

Mitosis is the cell division that creates two identical daughter cells to the parent(clones).

## Causes of World War 1

Before World War 1, and after the 40-year peace in the aftermath of the Napoleonic Wars, there were a lot of tensions brewing in Europe. The great powers had competed to be the most superior and the most powerful nation in the world. In the area called the Balkans, which were in the southeastern part…

## FDR’s Court-Packing Plan

During FDR’s first term, the Supreme Court had ruled certain aspects of the New Deal to be unconstitutional like the Agricultural Adjustment Act of 1933 as well as 1935 and the National Industrial Recovery Act. After FDR’s landslide victory in the 1936 election, he proposed legislation to address the Supreme Court’s decision on the New…

## power rule

Differentiating negative power the power rule also allows us to differentiate expressions like 1/x2

## Trig Ratios

In trigonometry, it is important to know the trig ratios to help solve certain problems dealing with the matters of angles, equations, degrees, unit circle, etc. There are six trig ratios. Co-functions: sin=opp/hyp csc=1/(opp/hyp)=hyp/opp cos=adj/hyp sec=1/(adj/hyp)=hyp/adj tan=opp/adj cot=1/(opp/adj)=adj/hyp -Co-functions are trig ratios that are the inverses of SOH CAH TOA. -sin=sine -csc=cosecant -cos=cosine -sec=secant -tan=tangent…

## Imaginary Numbers

An imaginary number is a complex number that can be written as a real number multiplied by i, which is the imaginary unit.

## Progressive Era

Even though Theodore Roosevelt was the “trustbuster”, his two successors, William Howard Taft and Woodrow Wilson had dealt with the same issue of trusts and monopolies.

## Middle Ages-Causes and Effects of the Crusades

There are causes and effects of the events for to have an impact in history whether they are significant or insignificant.

## Unit Circle

A unit circle is a circle with the radius of 1. A unit circle has radians, degrees, and coordinates.

## Prime Factorization

Prime factorization is factoring out a number of its prime factors. A primary number is a number times by 1 and itself. A composite number has more than two factors. 1 can not be a prime factor since it only has one factor, which is only 1. For example: 12=2*2*3 28=2*2*7 18=2*3*3

## Quadratic-Linear Equations

When we do quadratic-linear equations, it is the same as systems of linear equations. We have to apply the same principle of substituting y or x, depending on the linear equation itself. We can do without substituting and rather treat the equations as equations to be done algebraically. We have to find the intersecting coordinates…

## Geometry| Solid Geometry| Level 4

This is question 8 from Lesson 20 of my book The Scholarly Unicorn’s SAT Math Advanced Guide. Topic: Geometry Subtopic: Solid Geometry Level: 4

## AP US History

Some presidents have scandals on them that can tarnish the presidency in more ways than one.

## Ecology

In terms of the difficulty of between cell biology and ecology on the Living Environment Regents, generally, ecology questions are easier. There is energy , transferred, and stored, and it is important to know this to understand about how the biotic factors interact. There are energy pyramids, food chains, and even more complex, food webs.

## How to Write for the Web: Part 2

In How to Write for the Web: Part 1, we mastered using the inverted pyramid, writing in short paragraphs, making your content easily scannable, and taking the proper amount of time to edit. But there’s still so much to learn, my young grasshoppers. So join me for part 2 of How to Write for the…

## Radians into Degrees

Most Algebra 2 Common Core Regents will have questions from the original Algebra 2 Regents exams, so it is beneficial to review them as well. One of the topics has to deal with radian measures.

## Problem Solving | Ratios | Level 1

This is question 1 from Lesson 3 of my book The Scholarly Unicorn’s SAT Math Advanced Guide. Topic: Problem Solving Subtopic: Ratios Level: 1

## Heart of Algebra | Solving Linear Equations | Level 2

This is question 6 from Lesson 1 of my book The Scholarly Unicorn’s SAT Math Advanced Guide. Topic: Heart of Algebra Subtopic: Solving Linear Equations Level: 3

## How to Write the Best College Admissions Essay in 7 Quick Steps.

OK. So you are at that point in your College Application when you have to write the College Admissions Essay. Are you wondering what kind of essay will actually get you into the college of your Dreams? Are you quite confident how to go about the rest of your application but you’re not sure where…

## Factorization (with Fortnite)

Imagine this scenario. So basically you’re playing Fortnite and your mom calls your name for dinner for like the third time. There are like three people left and you’ve told her for like the second or third time that you can’t pause your game. You see the fight between the other two guys and you…

## solving literal equations

The key to solving this problem is to isolate the variable on one side and then solve.

## Sports Figures in American History: LeBron’s Social Legacy

This article looks at history in the making as Lebron James confronts social injustice and inequality in America.

## Spelling pattern 2: Doubling (or 1-1-1) pattern

Students with dyslexia often need explicit instruction in spelling and require repeated practice for mastery. Trained teachers/ therapists know to give ample practice opportunities in reading before introducing the spelling concept. The Doubling or 1-1-1 pattern is the second of five major spelling patterns. The Doubling or 1-1-1 pattern involves the addition of suffixes. A…

## Spelling pattern 1: FLOSS (or FLoSZy)

Students with dyslexia often require explicit spelling instruction and much practice before mastery. Trained teachers/ therapists give students ample reading practice before introducing the spelling concept. The FLOSS rule is the first of five major spelling patterns in English. The FLOSS pattern: In a one-syllable base word with a short vowel that ends in /f/,…

## Six syllable types

English words can generally be divided into six syllable types. Teaching children the six syllable types can be a powerful tool to help them tackle new, longer words with confidence. A syllable is a speech utterance characterized by one vowel sound. Below are the six syllable types with a brief description and examples. 1. Closed…

## Phonological Awareness 1: Count the phonemes

According to the International Dyslexia Association, “dyslexia is a specific learning disability that is neurological in origin…. characterized by difficulties with accurate and/or fluent word recognition and by poor spelling and decoding abilities. These difficulties typically result from a deficit in the phonological component of language…” For many students with dyslexia, it is difficult to…