Transcript numbers - Nutley Public Schools

Welcome to HSPA
Prep Zero Period
It’s important >>>>> Graduation!!!
Everyone get a folder, put name on it. (Make folders for
absent people to help take attendance.
This is how this class will go…
FIRST 2 WEEKS:
We will do a new lesson everyday and finish
each class with an open-ended question. (10 mins)
And go over that open-ended the next day, after I look
at it.
LAST TWO WEEKS:
We will take sample test every other day. One
day take it, the next day go over it. The sample test
will be exactly like the actual. (40 minutes – work on
our timing)
YOU CANNOT AFFORD TO MISS ANY CLASSES!!!!
YOU MUST BRING
CALCULATORS
EVERDAY!!!!!!!!!!!!!!!!!!!!
I created a website for our class!!
So if you are sick and miss a
class, or you want/need extra
study materials look on this site:
nhsfitz103.wikispaces.com
Lesson 1 - REAL
NUMBERS
(as opposed to fake
numbers?)
Definitions to know





Natural (or counting) numbers: {1,2,3…}
Whole numbers: {0,1,2,3…}
Integers: {…-3,-2,-1,0,1,2,3…}
Rational numbers: {all numbers that can be
expressed in the form m/n, where m and n are
integers and n is not zero}. The decimal form of a
rational number is either a terminating or repeating
decimal.
Irrational number: {all nonterminating, nonrepeating
decimals}. Any number that is not a perfect square
has an irrational square root.
Real Numbers
REAL NUMBERS
154,769,852,354
1.333
-5,632.1010101256849765…
-8
49%
549.23789
π
Can you tell me another???
61
Rational Numbers
A
rational number is a real
number that can be written as a
fraction.
 A rational number written in
decimal form is terminating or
repeating.
Examples of Rational Numbers
16
-8
1/2
1.3333…
3.56
-
3/4
Irrational Numbers
 An
irrational number is a
number that cannot be written
as a fraction of two integers.
 Irrational numbers written as
decimals are non-terminating
and non-repeating.
Examples of Irrational Numbers


Pi
Types of Integers

Natural Numbers(N):
Natural Numbers are counting numbers from
1,2,3,4,5,................
N = {1,2,3,4,5,................}

Whole Numbers (W):
Whole numbers are natural numbers
including zero. They are
0,1,2,3,4,5,...............
W = {0,1,2,3,4,5,..............}
W=0+N
What are integers?

Integers are the whole numbers and their
opposites.
 Examples of integers are
6
-12
0
186
-934
NOTICE NO FRACTIONS OR DECIMALS!!
REAL NUMBERS
NATURAL
Numbers
WHOLE
Numbers
IRRATIONAL
Numbers
INTEGERS
RATIONAL
Numbers
Try this!
a)
2
b)
c)
d)
e)
12

a) Irrational

b) Irrational

c) Rational

d) Rational

e) Irrational
25
5
11
66
Additional Example 1: Classifying Real
Numbers
Write all classifications that apply to each
number.
A.
5 is a whole number that is
not a perfect square.
irrational, real
5
B. –12.75 –12.75 is a terminating decimal.
rational, real
16
16
4
=
=2
C.
2
2
2
whole, integer, rational, real
Additional Example 2: Determining the
Classification of All Numbers
State if each number is rational,
irrational, or not a real number.
A.
21
irrational
B.
0
3
0
=0
3
rational
Additional Example 2: Determining the
Classification of All Numbers
State if each number is rational,
irrational, or not a real number.
C.
4
0
not a real number
Practice

Practice
Order these from least to greatest:
7. At midnight the temperature is
8°C. If the temperature rises 4°C
per hour, what is the temperature at 6
am?
How much
How long
+4
6
does the
Is it from
degrees temperature
hours
Midnight
rise each
hour?
to 6 am?
(6 hours)(4 degrees per hour)
= 24 degrees
Add this to
the original temp.
8° + 24° = 32°C
8. A deep-sea diver must move up or down in
the water in short steps in order to avoid
getting a physical condition called the bends.
Suppose a diver moves up to the surface in five
steps of 11 feet. Represent her total
movements as a product of integers, and find
the product.
Multiply
(5 steps) (11 feet)
(55 feet)
5 * 11 = 55
On your own:
On your own:
Practice Open-Ended Question (10 mins)
“Keeping Records”
Eric has a part-time job at the deli. His responsibility is to keep track of the sales of some
items. He earns a salary and an additional commission on what he sells. During one week
he sold the following:
25 pounds of boiled ham at $7.99 per pound
17 pounds of potato salad at $2.50 per pound
6 boxes of american cheese at $14.95 per box
2 whole salamies at a total price of $64.50
30 dozen rolls at $3.00 a dozen
A.) What was the total from the sale of all the above items?
B.) The sale of boiled ham is what percent of the total sales?
The sale of potato salad is what percent of the total sales?
The sale of american cheese is what percent of the total sales?
C.) Eric earns a 4% commission of the total sales. How much commission does he earn?
He also earns a salary of $150 a
week. What is Eric’s total pay for that week?
D.) If Eric is offered another job for a salary $175 a week without commission, what are
some factors he should consider in deciding to take the new job or remain with the job he
currently has.
Note to teacher:
Put answers up on overhead next to screen