Greetings!!!

1. Greetings!!! Hello everybody! I am Ms. Signorello and in today’s lesson we will work on some math skills, vocabulary, sentence completions, and writing exercises. Lesson # 2

2. Today’s Math Skills More on Fractions Reciprocals Factors and Multiples

3. More on Fractions Alternating between a decimal and a fraction is an important skill. To change a fraction into a decimal you simply divide the top number by the bottom number.

4. Examples Let’s say you want to change 4/5 to a decimal. You will divide 5 into 4. = =

5. Or you can use a calculator Online Calculator Let’s try the online calculator to convert 7/5 to a decimal.

6. Changing from a decimal to a fraction Let’s change .275 to a fraction. .275 = 275/1000 = 11/40

7. Using the online calculator Online Calculator Let’s change .125 to a fraction. On the calculator there’s a key that has We’ll use that key and then enter in our decimal. d f

8. Reciprocals Using reciprocals is an important skill for solving algebraic equations. If you multiply a number by it’s reciprocal, it will always equal 1.

9. Examples

10. Scientific Notation Suppose you need to change 345 to scientific notation. The number 345 is the same as 300 + 40 + 5. It can also be written as 3 x 100 + 4 x 10 + 5 x 1 =

11. Factors Factors are the positive integers that divide evenly into a number. For example the factors of 36 are: 36, 18, 12, 9, 6, 4, 3, 2, 1 I can divide 36 by any of these numbers and there will not be a remainder.

12. Multiples Multiples are numbers that can be divided by the given number evenly. That means there is no remainder. For example, the numbers 9, 18, 36, 45, and 54 are multiples of 9. 9 divides evenly into each of those numbers.

13. Examples 5A is divisible by both 2 and 3. If A is a digit, what is the value of A? 1 2 3 4 5

14. Example If a - b is a multiple of 5, then which of the following must also be a multiple of 5? b - a a + b ab b - a 2 a + b 2

15. Solution If a - b is a multiple of 5, we can pick a number for a and a number for b that makes this true. Let a = 13 and b = 8. So, 13 - 3 = 10, which is divisible by 5. We will substitute a = 13 and b = 8 in the answer choices.

16. Substituting 8 - 13 = -5 • b - a • a + b • ab • b - a 2 • a + b 2 13 + 8 = 21 (13)(8) = 104 8 - 13 2 = -5 2 13 + 8 2 = 21 2

17. Example Which of the following could be remainders when 3 consecutive positive integers are each divided by 4? 1, 2, 3 0, 3, 2 3, 0, 1 3, 2, 1 0, 1, 2

18. Solution Pick any 3 consecutive integers, say 7, 8, and 9. Now divide each of those by 4 and record the remainder for each division. 7/4 has a remainder of 3. 8/4 has a remainder of 0. 9/4 has a remainder of 1. Therefore, answer c is the correct answer!

19. Practice Math Practice

20. Vocabulary List 2 arid- a dry, rainless climate conflagration – a fire that is widespread derived- adapted or copied from a source discourse- conversation; verbal exchange genre- category or type of artistic work

21. Vocab continued impression- a belief or understanding of something; a feeling about something or somebody obsolete- no longer in use opulent- showing a display of great wealth rational- logical; evidence of clear and sensible thinking vilify- to make malicious, vicious, or abusive statements about

22. arid- a dry, rainless climate The desert is an arid place.

23. conflagration – a fire that is widespread The news reporter suggested that tsunami caused the destructive conflagration.

24. derived- adapted or copied from a source The professor derived the quadratic formula by completing the square using .

25. discourse- conversation; verbal exchange The lawyer and his client were in deep discourse before entering the court room.

26. genre- category or type of artistic work Music is categorized by it’s genre.

27. impression- a belief or understanding of something; a feeling about something or somebody The motivational speaker had a great impression on me.

28. obsolete- no longer in use The dial telephone is obsolete; most people use a cell phone now.

29. opulent- showing a display of great wealth The once opulent Spanish-style houses have large carved wooden doors opening on to outdoor patios.

30. rational- logical; evidence of clear and sensible thinking Please provide me with a rational explanation why you support their position.

31. vilify- to make malicious, vicious, or abusive statements about The Republicans attempted to vilify President Obama, claiming he is a Muslim.

32. Practice and Quiz Practice Quiz

33. Sentence Completions Hoping to the conflict, negotiators propose a compromise that they felt would be to both policies and legislation.

34. Sentence Completions Artists often claim to create what they see, yet so many of them depart from strict ___ and opt to take ___ with their painting subjects. knavery…freedoms jargon…integrity definition…vagaries observation…care imitation…liberties

35. Sentence Completions Cactuses which grow in the Nevada desert can survive long periods of _ because they retain water in their leaves, stems and root systems. aridity monotony dormancy heat substance

36. Sentence Completions Mrs. Smith was a ____ manager she was always mean and would often force her employees to work overtime without pay in order to save money. ludicrous mawkish miserly friendly ample

37. Sentence Completions Johnson waged a personal against those who opposed his nomination for the office harmony agreement expectation bet vendetta

38. Practice Sentence Completion Practice

39. The Writing Section The writing section on the SAT consists of: • The Essay • Improving Sentences • Identifying Sentence Errors • Improving Paragraphs

40. Writing Exercises Be sure to vary the usage of verbs in the essay! Do not overuse the verb “to be” or any of its forms. They are: am, is, are, was, were, be, being, been

41. More about writing the essay Use variety of vocabulary words when you write. If you continue to use the same words over and over, the graders will get bored and move on to the next essay. DO NOT use big words if you don’t know their meaning!!

42. Grammar Review Parts of Speech: Noun is a person, place, thing, or idea. A pronoun takes the place of a noun. As the subject: he, she, they As the object: him, her, them As possessive: his, hers, theirs As reflexive: myself, herself, himself

43. Verbs & Grammar Verbs express action or a state of being. Types of verbs: Linking verbs: often in the form of the verb to be. There is no action. Example - Math teachers are smart. Helping verbs: work with other words to express mood and time. Example - Mary can run faster than anyone I know.

44. Verbs & Grammar Transitive verbs: require the use of an object. Example: Joe sent a package in the mail. Sent cannot be used alone. It must have an object.

45. Verbs & Grammar Intransitive Verbs: do not need an object. Example - The motor overheated.

46. Adjectives and Grammar Adjectives describe nouns. Examples: The girl wore red shoes. The dog had a curly tail. The queen lived in a huge castle.

47. Adverbs and Grammar Adverbs describe a verb. The tell us more about the verb being used and can also describe other adverbs. Examples: Debbie wanted to strategically place the plants in her flowerbed.

48. Prepositions and Grammar Prepositions describe time or place relationships between words.

49. List of Prepositions about above across after against along among around at before behind below beneath beside between By down during except for from

50. List of Prepositions in front of in inside instead of into like near of off on onto on top of out of outside over past since through