Book #1, Unit #1 Number Simplifying Fractions To change a fraction or a decimal into a percentage, multiply it by 100. To change a percentage into a fraction, rewrite % as division by 100. To write a fraction as a decimal, divide the top number by the number. To change 1/8 into a decimal: divide 1 by 8. 0.125 To change 7/20 into a percentage: multiply by 100. 7/20 x 100 = 35% To simplify 15/1.2: multiply top and bottom by 10. 150/12 = 25/2 = 12.5 Directed Numbers 3 + (-4) = 3 - 4 = - 1 3 - (-4) = 3 + 4 = 7 (-3) + (-4) = - 3 - 4 = - 7 (-3) - (-4) = - 3 + 4 = 1 6 x (-2) = - 12 6 / (-2) = 3 (-6) / (-2) = 3 (-6) x (-2) = 12 Order or Operation Brackets Indices Division and/or Multiplication Addition and/or Subtraction Percentages Multiplying Factor Method: If the original price is $60: For a profit of 30%, selling price y = 60 + (60 x 30/100) = 60 (1 + 30/100) = 60 x 1.30 = $78 For a profit of 30%, selling price = $78

For a loss of 30%, selling price y = 60 - (60 x 30/100) = 60 (1 - 30/100) = 60 x 0.7 = $42 For a loss of 30%, selling price = $42 Standard Form with Positive Indices 67000 = 6.7 x 104 0.00067 = 6.7 x 10-4 Significant Figures 34.779 to 3 significant figures = 34.8 0.0659 to 2 significant figures = 0.066 Decimal Places 2.0765 to 2 decimal places = 2.08 0.05296 to 3 decimal places = 0.053 Algebra Simplifying Algebraic Expressions 4ac means 4 x a x c You can only add or subtract like terms.

Solving Equations Do the same to both sides. 3x + 4 = 2(x + 3) 3x + 4 = 2x + 6 3x - 2x = 6 - 4 x=2 Check: 3 x 2 + 4 = 2(2 + 3) 3(x + 4) - (x - 7 = 25 (expand the brackets) 3x + 12 - x + 7 = 25 (simplify) 2x + 19 = 25 (subtract 19) (expand the brackets) (collect like terms) (simplify)

2x = 3 x=3 Check: 3(3 + 4) - (3-7) = 25

(divide by 2)

Graphs and Sequences Gradient of a Straight Line Straight-line Graphs Shapes and Space Basic Principles Constructions 60° angle (equilateral triangle) Draw arc from A to intesect AB at P. Keeping same radius, draw arc from...

...Note taking and note making is one of the most fundamental and important tasks that students must do. It cannot be doubted that a student that takes notes during lectures is more likely to achieve a higher grade compared to a student that does not. However, note taking might not have the positive effect the student wants if it is not done properly. “What to note down, how much to note down and how detailed the notes should be, takes time to develop” (Open University Malaysia [OUM], 2011, p. 92). Thus, this essay will focus on explaining the different methods of note making, how to take notes from printed materials and ways to develop good note taking skills during lectures. But first, an important question needs to be addressed. Why even take notes in the first place?
This is without a doubt an easy question to ask, considering the fact that most students have access to the lecture notes and text books which might be heavier than they would prefer it to be. However, it is a common misconception, made by countless number of students, to be under the impression that their text books would cover everything they need to know (Coacher, 2011). Everything that might be evaluated in assessments might not be in the textbook and it is unlikely that one would recollect everything discussed in every lecture of each...

...JOURNAL – NOTE TAKING AND UNIVERSITY STUDENTS WITH LEARNING DIFFICULTIES : WHAT SUPPORTS ARE NEEDED? (Ann Maydosz and Sharon A Raver, Old Dominion University)
Lecture notes play an important role in preparing for examinations, as it may ensure the success of students. Many students do not have adequate note-taking skills, and this contribute a lot to the creation of incomplete and unrelated notes (Kiewra, 2002). Researchers suggest that the act of note-taking can engage students in learning tasks and deepen their understanding and ability to apply new material (Katayama & Crooks, 2003). Note-taking offers three important premises for university students. First, the act of note-taking may have an influence on the encoding function of the brain, which engages the learner’s attention and subsequently moves the information into long-term memory. Secondly, note-taking will make the students less dependent on their instructor’s notes, as they contain personally meaningful information that might help in the recall process. Thirdly, it may help students with learning difficulties.
To begin with, note-taking is essential to the student’s academic success (Kiewra & Benton, 1988; Titsworth, 2001). In taking notes, students relate lecture topics to their own background knowledge, which in turn may increase their...

...Should a Student Take Notes During College?
When students reach college-level academics, note taking becomes a major role in the effective learning of college students. Studies have shown that effective note taking results in higher academic grades. There are a high number of students in colleges today that are receiving poor grades due to failing tests or quizzes over material that was taught to them but not remembered. The vast majority of these students have poor note taking skills. There are many advantages of effective note taking and different ways to take effective notes.
Students that are earning marginal or poor grades either do not take notes or fail to take effective enough notes. Have these students not been taught on how to take effective notes? Students, who take effective notes during lecture, are more likely to learn and remember subject matter better than students who do not take notes. A lot of students today are simply not taking notes during class. During an observation of a class of thirty students, only three or four students actually took notes during the lecture. These three to four students are receiving above a 3.5 grade point average. The rest of the students paid attention to the lecture, but did not write or type anything down as notes....

... Taking notes during lectures is very beneficial to students in a number of ways. One, which is to remember and it will save student time relying on memory later on. You can be an amazing listener, but unless you have good note taking skills, it will be hard for you to remember what the teacher said in previous lectures. For notes to become useful, they should be well structured and you can go through them over and over so that the information remains fresh days prior to the exam.
Reviewing and pre-reviewing are two main steps students should do before they step into the next class. It is very beneficial for students to review the notes previously taken notes to help link between what has been previously taught and what is to come next class. This does not take much time but it will help keep the information fresh in the students minds. Also, skimming through the textbook before getting into the classroom will help students become acquainted with the main notions and concepts and this, in turn, will make it easy to follow with the teachers lecture. Moreover, usually, most students feel hesitated whether to jot down some notes or not; this happens when they do not know if the information is important or not. In this case, the best way is to take those notes when you are in doubt. The reason is that it is better to write too much than not enough.
This is where not knowing...

...Fractions are ways to represent parts of a whole. Common fractions are ½ and ¾. These are proper or regular fractions. Some fractions are called mixed numbers. These are represented by a whole number with a fraction (proper fraction). 1 ½ and 2 ¾ are good examples. An improper fraction has a larger number on the top than on the bottom, such as 9/8. I will explain how to convert these fractions to decimals. I will show you how to change an improper fraction to a mixed number. Operations (addition, subtraction, multiplication, and division) will be explained as well.
CONVERSIONS
This section will explain how to convert a fraction into a decimal. First, let's get an example fraction. How about 3/8? To find a decimal, divide the numerator (top number) by the denominator (bottom number). So we would divide 3 by 8. 3)8=0.375 or .38. Lets do another. Try 1/3. 1)3=.33333... So 1/3 is equal to about.33.
Next comes the mixed numbers to the improper fractions . All you do is multiply the denominator by the whole number and add the numerator. This is the numerator of the improper fraction. You keep the same denominator. Let's try 2¾. Four times two is eight. Eight plus three is eleven. Keep the denominator and you have 11/4. Now to convert the improper fraction into a mixed number. You need to remember, keep the same denominator. 9/2=4½. 2 goes into 9 4 times. There is 1 left over. So, it equals 4½.
OPERATIONS
First, I will explain how to add like fractions, then, unlike...

...Higher Arithmetic
Higher arithmetic, also known as the theory of numbers, is known for its basics of the natural numbers, simple numbers. The numbers, 1, 2, and 3 are numbers that are known as natural numbers. H. Davenport of Cambridge University once said “…in all the records of ancient civilizations there is evidence of some preoccupation with arithmetic over and above the needs of everyday life” (Introduction). The theory of numbers being a science, is simply just a creation invented for the present times. We, as humans, learn regular arithmetic as children, with games such as marbles and other fun counting games. Eventually, as we get to elementary school, we learn the use of addition, subtraction, division, and multiplication, the basics essentially. Math tends become more complex as we move on to middle school and high school. Middle school and high school is where we eventually start using higher arithmetic to understand the current math we are being taught. Although not everyone has an actual rulebook of the higher arithmetic, these laws stand universal. A question can be asked, how important is higher arithmetic? Higher arithmetic is used daily not just by mathematicians, but people of everyday quality. Higher arithmetic is essential, however, it should not be put over human needs and the qualities of everyday life, higher...

...locating materials in encyclopedias and other |
|should feel free to cite the article in your speech on the basis |reference works |
|of the abstract alone. |Often provide abstracts of journal and magazine articles |
|One of the advantages of using the Internet for research is that |A and c only |
|you can locate information by conducting both subject searches | |
|and keyword searches. |You are researching a speech and need to learn how the meaning of|
|When taking research notes, it is important to make a distinction|the word “science” has changed historically. Which of the |
|between direct quotations, paraphrases, and your own ideas. |following would be the best reference source to consult? |
|None of the above |Roget’s Thesaurus |
| |Encyclopedia Britannica |
|Which of the following is a true statement? |Oxford English Dictionary |
|You can almost always count on the reliability of Internet |Bartlett’s...

...business environment. The Memo will concentrate on three major points:
• The history of thank you notes
• How to write an effective thank you letter
• How to select the best channel to deliver a thank you letter
THE HISTORY OF THANK YOU NOTES
According to eHow website, the origin of thank you notes goes all the way back to ancient Egyptian and Chinese cultures, where people were exchanging the messages of kindness and friendliness on slips of papyrus. In the 1400s, Europeans were exchanging notes as a way of social expression. The greeting cards were written on paper and hand delivered to the local addressee (eHow). The article further states: “In 1856, Pouis Prang, a German immigrant, brought greeting notes and cards to America.” (eHow). The invention of the postage stamp further advanced the use of notes and cards. It became a widely used form of expressing a person’s feelings of appreciation and gratitude. The invention of internet has dramatically changed people’s perspective on expressing themselves. Moreover, thank you notes have successfully found their place in a digital world. These days, the majority of thank you notes and general greetings are done over the internet.
HOW TO WRITE AN EFFECTIVE THANK YOU LETTER
A thank you letter is a significant aspect in business world and is crucial in order to gain respect as a professional individual. A...