## 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…

## The Power of Pressure Groups: Spotlight on the National Rifle Association

A “pressure group” is an organization with a special interest or agenda that actively seeks to influence government policy or legislation. A pressure group is usually non-profit and achieves its legislative objectives through lobbying Congress, staging protests, or organizing boycotts.

## Absolute Value

The concept of absolute value has many uses, but you probably won’t see anything interesting for a few more classes yet. There is a technical definition for absolute value, but you could easily never need it. (If you go as far as calculus, the technical definition might come up.) For now, you should view the…

## Les soins médicaux (ley-swanh-may-dee-koh): Human relations – Part 5

Greetings, Today we are talking about medical care as human relations. In this part 5, we will list some names of things in medical care as part of human relations.

## Least Common Multiple

Find the LCM of 6 and 4 using prime factorization. Let’s find multiples of these two numbers. 6:6,12,18,24,30,…. 4:4,8,12,32,40,….

## Building Speed with Equations

There are lots of formal steps that we learn for working with algebraic equations, but after you’ve learned them, there are quicker ways to go about getting an equation in a form you want.

## Operations and Fractions

In this lesson we will be learning about LEARNING OBJECTIVES Find the prime factorization. Reduce a fraction to lowest terms. Find an equivalent fraction. Graph fractions on a number line. Add and subtract fractions. Multiply and divide fractions. Use the order-of-operations agreement with fractions.

## Essen (Eh-sn): Human relations – Part 4.

Greetings, Today we are continuing on the series “Human Relations” part 4. Humans also have relation to food. Some people like this, while other like that, but we all are related in the fact that we share a common habit: Eating. Eating in German is “Essen” as a verb. For example, you can say “Ich…

## Hidden Disabilities in the work-place and how to request a reasonable accommodation.

As a job coach, many of the individuals I work with come to me with what I call “hidden disabilities.” This simply means any passing observer would not know that this person has a disability that affects their quality of life. This type of passive observation, on the whole, is not an issue. It can…

## How to Argue Better: The Rhetorical Situation

The art of effective arguing is lost on most folks these days, but you don’t have to be one of them wandering in the dark. With an understanding of Mr. Bitzer’s “Rhetorical Situation” you’ll have one more tool to help you craft better arguments and write better essays.

## The History of Jazz Music

Jazz music is regarded as America’s only original art form. Other fine and performing art forms such as painting, sculpture, and ballet have their roots in Europe. Jazz is a blend of ragtime, blues and classical music.

## Synthetic Division to Divide Polynomials

This tutorial will teach you how to use synthetic division – an extremely useful tool when dealing with polynomials. It is a simplified version of long division that allows you to divide polynomials with ease.

## ‘Two Working Together’ and other Rate, Time and Distance problems.

A typical worded math problem is the ‘two working together’ problem, which is described here in detail. This is a classic test problem encountered in algebra and both quick and in-depth explanations are provided. Other examples are included.

## The Main Idea

The most important idea of any item of reading is “THE MAIN IDEA”. But what is “THE MAIN IDEA”? The Main Idea is the main point of a paragraph, or rather what the paragraph is mostly about. Finding The Main Idea could be as simple as a slice of pizza! All the toppings and ingredients…

## La nourriture (Lah-Nu-ree-tewr) – Human Relations 4

Hello or “Bonjour” to everyone. Today we will be working on the 4th part of the series “human relations”. What do humans relate to? The 4th part will talk about “Food”. We will say some words in french, so you can compose yourselves your breakfast, lunch and dinner.

## Equations of Parallel Lines

Non-vertical lines, or lines that have positive, negative or undefined slope, are parallel if they have the same slope and different y-intercepts. Vertical lines, which have zero slope, are parallel if they have the same slope and different x-intercepts.

## Prime Factorization

This tutorial is on prime factorization and how to do it step by step. This is a really important process and one that can be very confusing at times. One can easily mess up and get the wrong answer. So let’s jump right in and learn the concept of factorization!

## Solving 2-Step Equations

Solving 2-Step equations may seem hard at first but becomes really quite easy after you get the hang of it. It simply consists of isolating the variable within the equation.

## Order of Operations

Order of operations is a building block for basic mathematics. Without this skill math can become difficult and result in the incorrect answer. We use the mnemonic PEMDAS to learn this skill. PEMDAS identifies order of operations reading left to right. P; Parenthesis E; Exponents M; Multiplication D; Division A; Addition S; Subtraction Follow this…

## Solving problems

This example is helping first graders how to add. The example will be shown step by step and gives the child a first had look at how to solve an addition problem.

## Graphing on a Graphing Calculator

Once students begin to take classes on pre-calculus or beyond, instructors begin requiring them to draw and solve for the graphs of an equation (or even multiple equations!) This task can be daunting, but a graphing calculator can save the day! These handy devices draw, trace, and even solve for aspects of a graph. In…