Transcript File - Ms. Pendergast`s Math Class

Homework Folder







Period 1: Purple
Period 3: Yellow
Period 4: Red
Bring back and forth, everyday
keep that day’s notes & HW
Do not write on (I’ll reuse next year)
I’ll give you a name sticker tomorrow
Go Around


Name
Any Pets?


Yes- kind, names?
No- what would you get if you could?
For success

Hard Work

Efficiency

Respect
Vocabulary Cards

Tape to thick yellow paper








Definition (COACH book)
Example
Connection
Rational number
Irrational number
Natural number
Whole number
Integer

Objectives:

SWBAT determine which category numbers fit into
Homework: See grey box on Pg 3 of notes
---------------------------------------------------------- Classifying means to put things into
categories.


What other things do you put into categories,
or classify?
Real Numbers
All numbers that I know now.
Split into _2_ big categories:
 Rational numbers
 Irrational numbers
Rational Numbers
Ratio means _fraction_
**R.#s can be written as a fraction**
Examples:
0
5 -12
16
-567,023,234.456
Square-root 36  is a perfect square, = 6
234.2315891  has an end
54.234234234234… has a repeating
pattern
-9.5623 decimals have an end
-0.33333…..  decimals have a pattern
Irrational Numbers
The prefix “IR-” means _not_, so IRrational means
not rational, or cannot be a fraction
Decimals have….
No _end_
And
No repeating pattern
Write an R (rational) or an I
(irrational) next to the numbers
Rational Numbers
Ratio means _fraction_
**R.#s can be written as a
fraction**
Decimals have…
-An end
or
-A repeating pattern
Irrational Numbers
prefix “IR-” means not
So… they’re not rational,
or cannot be a fraction
Decimals have….
No _end_
And
No repeating pattern
R
R
R
R
R
R
ends
I
R
I
R
R
I
I
R
R
R
R R
R
R
R
R
=5 =3
I
R (pattern) I
I
R R I
(^no end & no pattern) (^no end & no pattern)
Perfect squares are RATIONAL
Pg 2I
I
=9 R =11 R =12R =10R I
=6 R
I
=7R
R (all fractions are ratios aka RATIONAL)
R (even if they’re negative)
R -ends
R
R
R
R-pattern
I-no end, no pattern I
R-pattern
(entire row)
R
R
R
I
R
R-pattern
I
R R –ends
I-no end&no pattern I
R
More types of RATIONAL
 Rational
numbers are split into 3
smaller categories:
 Natural numbers
 Whole numbers
 Integers

Natural number is a counting number



Whole number is all the natural numbers
plus 0



1, 2, 3, 4, …. 5,000 …
Ways to remember:
0, 1, 2, 3, 4, …. 5,000 …
Ways to remember: WhOle includes zerO
Integer is all whole numbers and their
negative opposites


-5,000 … -4, -3, -2, -1, 0, 1, 2, 3, 4 … 5,000
Ways to remember:
Integers
whole
neg.
Whole
0
natural #s
Natural
counting
win win win win win win
i
i
i
(negatives)
win
win
i
i
i
i (-) none (dec)
=-1 =1 =8 =-3
i
i
win
win i
Pg 1
--
--
win
Pg 2
win
win
win
--
win
--
win
--
--
(they’re all fractions that don’t simplify to whole #s)
i
i
i
i
i
--
win win win
--
i
wn
--
i
--
i
--
win
win
--
i
win win -win
i
--
--
win --
Putting it all together…

Rational numbers can fit into more than
one category

RHS shirt fits into the category

Red Shirts AND
Shirts

Red shirts is a more specific category

All
know
WHITE BOARDS




Only write what you are asked to
Choose and answer, and write quickly
Hold up the board on “BOARDS UP”
Write answer with your own pencil on your
paper
What kind of number?
Write all categories
4
Rational
Natural, whole, integer
What kind of number?
Write all categories
-4
Rational
integer
What kind of number?
Write all categories
0
Rational
Natural, whole, integer
What kind of number?
Write all categories
5.3
Rational
(decimal, so nothing else)
What kind of number?
Write all categories
1.2130901…
Irrational
(no end and no
repeating pattern)
What kind of number?
Write all categories
1.333333…
Rational
Has pattern
What kind of number?
Write all categories
2.454554555…
Irrational
No end and no repeating pattern
What kind of number?
Write all categories
3.43902
Rational
end
What kind of number?
Write all categories
=3
Rational
Natural, whole, integer
What kind of number?
Write all categories
= 2…..
Irrational
What kind of number?
Write all categories
0
Rational
Natural, whole, integer
What kind of number?
Write all categories
100
Rational
Natural, whole, integer
Multiple Choice pg. 2
1. Which student provided the most accurate
definition of the set of all natural numbers?
A. Angela: “The set of all natural numbers is all real numbers
except fractions.”
ALSO, not decimals,0, or neg.s
B. Ben: “The set of all natural numbers is all positive
numbers but not 0.”
C. Carlene: “The set of all natural numbers is all whole
numbers and their negatives.”
D. Diego: “The set of all natural numbers is decimals,
fractions, and negatives.”
Multiple Choice, continued
2. Which name best describes the set of
numbers to the right? {0, 0.5, 1, 2, 4}
A. integers
B. whole numbers
C. natural numbers
D. rational numbers
Multiple Choice, #3
3. Which set below is the set of all whole
numbers?
A. {1, 2, 3, …………….} ALSO zero
B. {0, 1, 2, 3, 4 ……………}
C. {….-3, -2, -1, 0, 1, 2, 3…..}
D. {-3, -2, -1, 0}
Multiple Choice #4
4. Which statement best describes
16.23426… ?
A. It is a whole number but not an integer
B. It is an integer but not a rational number
C. It is a natural number but not a whole number
D. It is an irrational number but not a natural
number
End of Course Exam Style Questions

(on flipchart)
Exit Slip

Silent and by yourself

Done early?




Silently stay seated
Work on homework (see box on pg. 4)
Review notes
TURN IN: only exit slip, leave binder on
desk
Practice



With a partner
Label #s on Pg 2
Are any i, w, n ?
Turn In

Exit Slip
Keep &
Bring
Back


Week
Sheet
notes
Homework

See pg. 4


Finish
classifying
Finish multiple
choice
questions