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. Today’s Math Skills. More on Fractions Reciprocals Factors and Multiples. More on Fractions.
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
More on Fractions
Factors and Multiples
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.
Let’s say you want to change 4/5 to a decimal. You will divide 5 into 4.
Let’s try the online calculator to convert 7/5 to a decimal.
Let’s change .275 to a fraction.
.275 = 275/1000 = 11/40
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.
Using reciprocals is an important skill for solving algebraic equations.
If you multiply a number by it’s reciprocal, it will always equal 1.
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 =
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.
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.
5A is divisible by both 2 and 3. If A is a digit, what is the value of A?
If a - b is a multiple of 5, then which of the following must also be a multiple of 5?
b - a
a + b
b - a 2
a + b 2
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 - 8 = 5, which is divisible by 5. We will substitute a = 13 and b = 8 in the answer choices.
8 - 13 = -5
13 + 8 = 21
(13)(8) = 104
8 - 13
= -5 2
13 + 8 2
= 21 2
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
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!
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
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
The desert is an arid place.
The news reporter suggested that tsunami caused the destructive conflagration.
The professor derived the quadratic formula by completing the square using
The lawyer and his client were in deep discourse before entering the court room.
Music is categorized by it’s genre.
The motivational speaker had a great impression on me.
The dial telephone is obsolete; most people use a cell phone now.
The once opulent Spanish-style houses have large carved wooden doors opening on to outdoor patios.
Please provide me with a rational explanation why you support their position.
The Republicans attempted to vilify President Obama, claiming he is a Muslim.
Hoping to the conflict, negotiators propose a compromise that they felt would be to both policies and legislation.
Artists often claim to create what they see, yet so many of them depart from strict ___ and opt to take ___ with their painting subjects.
Cactuses which grow in the Nevada desert can survive long periods of _ because they retain water in their leaves, stems and root systems.
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.
Johnson waged a personal against those who opposed his nomination for the office
Sentence Completion Practice
The writing section on the SAT consists of:
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
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!!
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
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.
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.
Intransitive Verbs: do not need an object. Example - The motor overheated.
Adjectives describe nouns. Examples:
The girl wore red shoes.
The dog had a curly tail.
The queen lived in a huge castle.
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.
Prepositions describe time or place relationships between words.
about above across
after against along
among around at
before behind below
beneath beside between
By down during
except for from
in front of in inside
instead of into like
near of off
on onto on top of
out of outside over
past since through
to toward under
up upon with
Conjunctions connect two nouns, two verbs, two adjectives, two adverbs, etc.
Examples: and, but, or, yet, for, nor, so
Abstract nouns - are general and lack specificity.
Examples: assignments, countries, decision
Infinitives: verbs that use the word “to”.
To run, to jump, to swim, etc.
Juan couldn’t wait to see his friends.
Gerunds - special verb forms that end in -ing. It takes the place of a noun and indicates an action. Examples: Dancing makes me happy.
Present participles - also end in -ing but describes a noun. Example: The dancing bears at the circus are exciting to watch.
The members of our class have more school spirit than _____
Matt and Martha didn’t understand why anyone should keep his feelings inside about grades when it’s so much more fun to compete with a classmate over them.
What’s wrong with this sentence?
I’m convinced, though, that Emily will always be a better bassist than ____
Few of the aquatic animals lived through the oil spill with _______ health intact.
b) His or her
Everyone in the debate group ____ experienced problems with using online databases.
Brandon was focused the rest of the class was distracted.
a) Brandon was focused, the rest of the class was distracted.
b) Brandon was focused; the rest of the class was distracted.
c) No change
When you are writing on the SAT, you’ll want to use concrete language to describe abstract ideas. Think of the word victory. By itself, it is abstract.
However if you were to write:
The Women’s Soccer team from the United States fell just shy of a victory in the World Cup.
It becomes concrete!!!
By using the following endings on nouns you know, you can recognize abstract words:
-ness -age -tion
-ance -ty -ment
Using the words from the previous slide, find 3 sentences that use those words and make those sentences concrete. Provide definite examples in each sentence.