## 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.

## Where History Meets Faith: Pontius Pilate the Ruler of Judea

World history intersects with religious and archeological history at significant points.Pontius Pilate, the Governor of Judea is a political figure at the crossroads of history.

## Balancing Equations

This problem will illustrate how to derive a chemical equation from a word problem and how to balance it.

## Adjectives

When asked to deconstruct a sentence, you are being asked to find certain parts of speech within the sentence. In order to do this, one must be able to first recognize the various parts and understand what they mean and/or do.

## Bezeihungen (Beh-tsah-e-hungn) – Relations: Part 1.

Greetings: Today we are learning “menschenliche bezeihungen” (men-sch-lee-scheh Beh-tsah-e-hungn) or human relations. In the part 1 we will talk about love. Love is said in German as “Liebe” (Lee-beh). The word Liebe is feminine so you say “die liebe/ eine liebe” love/ a love. Generally people love. “People” in German is “menschen”. The opposite of…

## Nonlinear equations, Solve for x

How do you solve a simple equation for x when an exponent is involved?

## Choosing Who or Whom

“Who” and “whom” are pronouns used to replace nouns either in questions or in relative clauses (subordinate clauses that describe nouns). It can be difficult to choose which to use in a sentence. Just remember, “who” is the subject form (WHO was at the party?) and “whom” is the object form (To WHOM should I…

## Writing numbers as tens and ones

Writing numbers as tens and ones is deconstructing the number, teaching the learner the different number places (ones, tens, hundreds, etc.). When asked to write a number as tens and ones, it is most helpful to draw pictures, either right next to the problem or using a scrap piece of paper.

## Solving Equations in One Variable

Solving equations in one variable is the most common problem in Algebra I.

## Myths of Learning Disabilities

There are several myths about learning disabilities that can make things harder for students with learning disabilities and those seeking to help them. This is a short introduction to what learning disabilities are and how best to teach a student with learning disabilities.

## Cell Biology – Practice Questions

These questions are meant for beginner students in undergraduate level cell biology. These are review questions based on material in the first four chapters in “Essential Cell Biology” – See link below.

## Decimals, Fractions, Percents

Teacher Proficiency/Basic Math Skills In this exercise you are going to memorize and workout decimal, fraction, percent problems. They are all basically long division problems.

## Les relations humaines (Ley relah-seeonh-ewmaen) – Human relations: Part 1.

Human relations are multiples in French culture and French system. They have a way to grant straight comprehension through what they are saying. This lesson is going to be a serie of different sections, but today we are going to focus on love relation.

## A helpful approach to solving engineering and science problems

This document presents a step-by-step approach that you should find helpful in solving problems typically assigned in engineering and science courses. The approach is illustrated with a few examples.

## Pre-Algebra Foundations

Teacher Proficiency/Basic Math Skills These exercises revisit math foundations.Brushing up on these concepts improves pre-algebra work.

## Die Farben (D-Fahr-Bn) – Colors

The word “color” is also a feminine word in German as it is in French. So you say: Die Farbe/Die Farben (D-Fahr-beh/D-Fahr-Bn).

## Les couleurs (Ley or Leh Kuloehr) – Colors

Today here is a little bit of science and physics in what we are going to learn in the sense that it is about colors. Colors are components of light although light is white on the naked eye; so we are going to learn how to say the main colors in French. The word color…

## How to Write A First Draft

No matter what you’re writing, starting it is often the hardest part. You may have plenty of ideas and not know where to begin, or you may have no ideas and have nothing to begin with. Regardless of your situation, once you take that first step you’ll often find that writing becomes much easier, and…

## How to Do Good Research

Research is the foundation for many types of academic essays, and it can be difficult to write a good essay without a good foundation. Research takes time and effort, and it will probably take up a significant portion of the time you spend working on your assignment. Doing thorough research will make your essay stronger…

## Modeling the Cost of High-Stakes Decisions: The Case of Brady v. Bellichick

Statistical regression and probability analysis are quantitative business methods used to predict future outcomes based on past events. In contrast,economic opportunity cost tables quantify the impact of choosing a course of action before an event occurs. This tutorial examines the recent conflict between New England Patriots head coach Bill Bellichick and team owner Robert Kraft…

## Quadratic Equations

Jonathan just adopted 4 new guinea pigs and he wants to build them a C&C cage outside.He wants to give them room to run so he bought 36 feet of fencing.

## How to Organize an Academic Essay

Even if you have great ideas, disorganization can be a big roadblock to a successful essay. Keeping your paper clear and organized will make your arguments easier to understand and will make the paper easier to read. When you’re struggling to come up with ideas, the proper structure can also help you develop your arguments…

## Robust Approach to dismantle every problem in a logical manner : Decoding the Problem

let f1=A*B/f2 , f2=B-f3/C , f3=C+2tan(X)…. suppose value of parameter A,B,C and X is given and the question ask the value of parameter f1. Here for your simplicity I have written the expression for f1 , f2 and f3 but what i am trying to convey that hundreds of such expressions you would have remembered…

## How to Write a Conclusion Paragraph

Like a perfect gymnast’s routine, a good essay all comes down to the dismount. You warm-up with an introduction. And in your body paragraphs you twist and turn — all while trying to keep a balanced argument. But if you really want to stick the landing, you’ll need a strong conclusion.

## How to Optimize Your First Resume

If you are a high school or college student writing a resume for the first time, it can often be difficult to produce something that will catch the attention of employers. You may not have the career experience for your jobs section to stand out, so you will need to use other means to make…

## How to Graph a Linear Equation using Slope and y

Step 1: Put the equation in Slope Intercept Form For example: y = 2x + 3 is in slope intercept form. The number in the m position (2) is the slope and it is a positive number so the slope of the line will be a positive slope. The number in the b position (3)…

## Die Begrüssung (D-Beh-grew-sung) – Greetings

In German also, people use 3 forms of greetings: – Familiar form used among family members, friends, colleagues… – Simple form used to greet anyone who is neither stranger nor to familiar: Simple formal way or greeting with too much respect or too much familiarity. – Polite form by using the last plural form of…

## Biodegradable Veggie Pots: The Art & Sustainability of Making Seed Starting Pots

Vegetable gardening is not just about growing and eating vegetables. Students will learn how their creation of biodegradable pots provides a positive impact in a vegetable garden environment. 1. Learn about biodegradability and the degradation processes. 2. Understand the positive environmental impacts biodegradable objects. 3. Be empowered to grow and secure their own garden vegetables…

## The “passé composé” – the French past tense

The passé composé is the second tense you will likely learn in French; it is immensely common and important. So what is the passé composé? It is used to indicate that an action happened in the past and corresponds to the English “-ed” form of the verb. For example, the past tense of the English…

## White Americans who Fought for Civil Rights

African-Americans occupy a special place in the history of our great nation. Much of that history is focused on the Civil Rights Movement. This tutorial identifies pivotal roles played by White Americans during the Civil Rights Era.

## How to Proofread Perfectly!

Even when you have a good idea of how to write an essay, you may often struggle with how your writing reads and looks. The best ideas can get low grades because of commas, misspelled words, and other minor problems. This guide will show you how to catch all these mistakes before you turn your…

## Stars and light pollution

There are more than a million stars in the night sky. Most people even with telescopes can see them outside anymore unless you have a certain type of telescope. I think if we were to not use as much power at night as we do we might be able to see the stars better. There…

## Les salutations (Ley or Leh Sah-lwe-tah-seonh) – Greetings

Greetings in French is designated by the phrase “Les Salutations”. There are 3 ways to say greet someone. They are familiar form, simple form and polite form. You use the polite form until the person is used to you or until the person tells you it’s ok to address simply: – Familiar form of salutations…

## Get Your Readers’ Attention!

When you’re required by your instructor to write an essay, what can you do to make your essay memorable from 30, 50, or even 150 other essays your instructor has to read? If you are free to state your opinion, state it from the heart. If you are assigned to submit an essay over material…

## SAT Math Trigonometry Problem

This problem demonstrates many of the important trigonometry principles that are essential to master for the math portion of the SAT. I look forward to helping your child master these core principles, and to helping them reach their academic goals.

## Cellular Respiration (Some Background Knowledge Required)

Cellular Respiration is the process by which O2 (oxygen) and C6H12O6 (glucose) is converted into CO2 (carbon dioxide), H2O (water), and ATP–the energy currency of the cell. This process is divided into three stages: 1). Glycolysis 2). Citric Acid Cycle 3). Electron Transport Chain. During Glycolysis, which occurs in the cytoplasm, glucose is split into…

## Bipedial development

Bipedal animals are distinctly classified due to the anatomy of the pelvis and foot. This feature is found within the primate order and includes Homo sapiens and other extinct relatives including Homoerectus. The pelvis of a bipedal is shorter in stature and more cup or bowl-shaped compared to other primates. These unique characteristics allow for…

## Omnivores, Herbivores and Carnivores

Teeth can tell us a lot about the characteristics of an organism. Certain animals have teeth that are meant to pierce and rip apart flesh. Other animals have a large number of teeth that grind plant matter. Some animals will fall in between these two possibilities which allows them to perform both functions. Omnivores are…