## 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…

## They’re over There, and Their Grammar, I swear!

Do YOU know the difference between they’re, their, and there, and whether these homophones are used correctly in written communication? It may seem like a silly question, but when I open a letter, a document, or even a newspaper, I often find the misuse of these three simple words, words that sound the same, but…

## Bezeihungen: Die Arbeitsplätze – Relations Part 3.

Greetings, Today we are learning another human relation. We are going to talk about workplace. Workplace is said in German as followed: Die Arbeitsplätze (dee-ahr-bah-eet-sch-plaetseh). The word “Arbeit” is “work” which has the verb “arbeiten”. So for example, you can say: “Sie arbeiten” meaning “they work”.

## Direct and Indirect Object Pronouns

Remember how funny it was to hear Yoda speak in the Star Wars films? That’s because word order matters in sentences. Unfortunately, translating thoughts from one language to another isn’t always smooth sailing and you might sounds like Yoda if you don’t know the rules. Here are some tips on formulating Spanish sentences so that…

## Conic sections : vertices, foci and eccentricity of an ellipse.

From the equation of a conic section, here an ellipse described by 9x^2 + 36y^2 = 324, we will find vertices, foci and eccentricity. Given the equation, an oval of center (H,K) can be traced. A path of points traced (x,y) so that the sum of its distances from two fixed points is constant. The…

## Order of Operations

Here we will be discussing the topic of “Order of Operations.” Many math students find simplifying an expression to be daunting at first because they do not know which steps to take as there appears to be multiple options. To clarify, the order of operations is ALWAYS: P: Parenthesis E: Exponents M: Multiplication D: Division…

## The writing prompt: STAAR-English I

The first stumbling block a student encounters in the written composition section of the English I STAAR test is the prompt. The prompt appears so general, but is in fact quite specific. Without a proper understanding of what is asked for, students often come up short on this section of the test. A box containing…

## Historiography (The Study of How People Study History)

Historiography is the study of the study of history. In a clearer sense, it is the study of how people study history. Throughout the study of history, there are factors which can affect the reliability of that source. As is said, to the history goes the victors. As such, most of the ‘mainstream’ history is…

## Common Sentence Enders (Desu, Yo, Ne, Ka)

Sentences in the Japanese language tend to follow patterns.

## Moles to Grams – Stoichiometry

Avogadro’s number (6.02×10^23) is defined as the number of molecules, atoms, compounds, etc. per mole of a substance. Elementary particles like atoms and molecules are tiny. It is much easier to say there is 1 mole of a substance than 602,000,000,000,000,000,000,000 atoms in a certain substance. The molar mass of a substance is the number…

## Simple pre-algebra problems

This little segment shows a variety of different pre-algebra expressions simplified down into a logical mathematical answer.

## The Russian Tsars: Ivan IV

Ivan the forth or better known as Ivan the Terrible was the first self-acclaimed Tsar (Czar) of Russia. The son of Vasili III, Ivan the Terrible lost his father when he was three, his father died from blood poisoning, his mother,Elena Glinskaya, died when he was 8,she also died by poisoning. The deaths of his…

## Avoir: To have

Learning how to conjugate the verbs avoir and etre are key to learning french. Here is how it goes: Avoir: I have- J’Ai You have- Tu As He/She/It has- Il/Elle/On A We have- Nous Avons You have (pl.)- Vous Avez They have- Ils Ont/Elles Ont (Use the masculine plural if there is a group of…

## A Future for Everyone

What are you really interested in? What do you like to do on your free time? Is there some kind of career your thinking about doing, but have no idea how to do it? This three questions are basic to help people discover what they want to do. The idea of going to college as…

## Why does 2^0 equal one, and not zero (using division)?

I’m writing this tutorial to explain to younger learners why any nonzero number raised to the power of zero equals one, and not zero. That is, this question begins to address why the following equation is correct: X^0 = 1 ,for all X ≠ 0. Specifically, I am writing this in such a way that…

## Literary Devices: Similes and Metaphors

Literary Devices can be used in many different ways and are often used when an author wants to stress the importance of something. Today’s topic is going to be on Similes and Metaphors. Both are comparisons but where they differ is the key to to understanding them! A simile is a comparison using the words…

## How to Write for the Web: Part 1

Looking for a career in writing or journalism? Starting a blog is a good way to show off your skills to a future employer. That is, if you’re doing it correctly. Writing for the Web isn’t like any other kind of writing, so learning a few basic skills can really help you stand out in…

## Another look on continuous functions.

The definition of Continous Functions may be a little hard to understand, so lets give it another look on how you can conclude that a function is continuous.

## Test Prep for Any GED Test

Some people fail the GED test, EVEN THOUGH THEY KNOW THE SUBJECT MATTER WELL, because they are not physically and mentally prepared for the test on the day that they take it. Here are some tips to help you to be ready to test on the day of your test.

## The beauty of algebra

Algebra is the building block of all mathematics. Why? because from the very basic arithmetic to the most complex computations and to the most advance computer programming algebra plays the important role of getting the fastest and quickest way to arrive to a solution in every mathematical problem.

## All Degrees Matter

Ever wonder why you should go to college? Feeling overwhelmed on what degree to obtain? I changed degrees three times and I’m so glad that I did. I’m here to pass on my knowledge and experience to those of you who are struggling with what to become and how to go about doing that.

## Adding Fractions

Many of us think that we don’t need fractions in the “real world” but if you ever want to cook by following a recipe you will need to add lets say 1/3 of butter and 1/2 of milk.

## Les lieux de travail (ley lee-oeh-doeh-trah-vah-yyy) – Human relations: Part 3

Greetings, in the continuation of our series of human relations, let talk today about workplaces. There are many ways to say workplaces in French, but if you just say “Les lieux de travail” (Ley-lee-oeh-doeh-trah-vah-yyy) or “Domaine des fonctions” (Doh-maen-deh-fonk-seeonh), everyone will know what you are talking about. Please note that the phrase “Domaine des fonctions”…

## Student unmotivated to read?

This tutorial is a strategy I have learned from colleagues about how to get students more motivated to read.

## Angles

When you are working with angles in geometry, the main shapes we dealt with is triangles, squares, and circles. If you have a circle, all the angles add up to 360 degrees, triangles are 180 degrees, and squares are 360 degrees.

## Using “they” vs. “its”

This may seem like a no-brainer, but when you’re talking about people you refer to them as “they.” When you’re referring to a business, you use “its.” However, it starts to get dicey when you’re using collective nouns, for example, team. Correct: Scranton’s field hockey team won the world championship, so they got pizza after…

## A Comprehensive Guide to Extrema and Inflection Points

In Single-Variable Calculus, one of the core concepts that is always tested is determining extrema, inflection points, and saddle points. This is ESPECIALLY the case on the AP Calculus AB/BC exam. This article is a review of the process of finding extrema/inflection points given a function f(x), and understanding the graphical representations of these points.

## How many does everyone get?

John is throwing a birthday party and inviting his friends. His mother is buying cupcakes that come in packs of 12.

## How to identify parts of a sentence

The study of grammar can be stress-free if students know the right questions to ask when analyzing or identifying parts of a sentence. The following tutorial will provide what questions to ask to identify the parts of a basic sentence.

## Comprehension

Children with learning disabilities often have difficulties with comprehension. This causes them to lag behind their peers in all subject areas. Reading is so key to success in all subject areas. Setting a good foundation for reading and writing in the early years opens the door to success in later grades.

## Factoring

Factoring is used in many areas of math, specifically pre-calculus. It’s used almost throughout the entire course. Many students have issues with factoring correctly which is why I’m going to show a sample problem solving a quadratic equation with factoring.

## Trigonometric identities(Sin(alpha)&Cos(alpha))

Sin(alpha) sin(alpha)=y/r Basic rules of sin(alpha) -sin(alpha)=sin(-alpha) -> -alpha is alpha in inverse of rotation direction.So x value will stay same but y value will be negative of current y. in a triangle,there is a sine function rule with every angle of triangle.Lets say there is a triangle with alpha,beta and thita and the a,b…

## How to Classify Differential Equations

Differential equations can be classified into a myriad of different groups, and these can be hard to keep track of. However, identifying these qualities are critical in developing a solution. As such, it is a crucial skill to be able to identify the classifications of a differential equation. The classifications are as follows: 1. ODE…

## Die Familie (D-fah-mee-lee-eh) – Human relations: Part 2.

Today we are learning how to say words that are related to a family in German. “The Family” in German is “Die Familie” (dee-fah-mee-lee-eh) with family being a feminine word. You can realize that by the “unbestimmte artikel” (Die). Do you remember?

## The Presbyterian Church: Architect of the Anti-Slavery Movement

18th Century American Presbyterians were Protestant, Anglo-Saxon American settlers who lived by the religious creed: “If a slave has taken refuge with you, do not hand them over to their master” (Deuteronomy 23:15).

## How to Start Writing an Essay

We all know how hard it can be to transfer the thoughts in your head onto the paper on your desk. Especially when your grade depends on it.

## La Famille (Lah Fah-mee-yy) – Human relations: Part 2

Greetings. Today we are continuing our series of human relations. We are going to talk about family. Family in French is “La Famille/Une Famille” (Fah-mee-yy), feminine word. So let’s see what family is composed of:

## How to read text books.

Reading textbooks can be monotonous and boring. You ever read a sentence over and over again and never retain any of the information you read? Well I’m going to give you some tips and tricks to help you get through.

## Adhd stigmatized as Hysteria

ADHD is known as attention defective hyperactive disorder. Many people believe that this is not a neurological disorder, but someone stigmatizing this disorder as hysteria. Many people that are not educated in ADHD make assumptions that lead to the stigmatization of the individual being lazy,careless,and not disciplined.