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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 NumbersRatio 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 NumbersThe prefix “IR-” means
_not_, so IR-rational means not rational, or cannot be a
fractionDecimals have….
No _end_ And No repeating pattern
Write an R (rational) or an I (irrational) next to the numbers
Irrational Numbers
prefix “IR-” means not
So… they’re not rational,
or cannot be a fraction
Decimals have….No _end_
And No repeating pattern
Rational Numbers
Ratio means _fraction_**R.#s can be written as a
fraction**
Decimals have…-An end or-A repeating pattern
R R I R R I R R R
R R I R I R R R R R R
=5 =3R R I R (pattern) I I R R I ends (^no end & no pattern) (^no end & no pattern)
Pg 2
Perfect squares are RATIONAL I 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-pattern I-no end, no pattern I R-pattern
R (entire row)
R R R I R I R R –ends RR R R-pattern I-no end&no pattern I
More types of RATIONAL Rational numbers are split into 3
smaller categories: Natural numbers Whole numbers Integers
Natural number is a counting number 1, 2, 3, 4, …. 5,000 … Ways to remember:
Whole number is all the natural numbers plus 0 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
Natural
whole neg.
0 natural #s
counting
win win win win win win
i i i i i i(negatives)
win i (-) none (dec) =-1 =1 =8 =-3
win i i win win i
Pg 2
Pg 1
-- -- win win win win -- win -- win
-- -- (they’re all fractions that don’t simplify to whole #s)
i i i i wn i -- i i
i -- -- -- --
win win win win win i win win -- -- win --
-- -- win
i
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
4Rational
Natural, whole, integer
What kind of number? Write all categories
-4Rational
integer
What kind of number? Write all categories
0Rational
Natural, whole, integer
What kind of number? Write all categories
5.3Rational
(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
3.43902Rational
end
What kind of number? Write all categories
=3Rational
Natural, whole, integer
What kind of number? Write all categories
= 2…..Irrational
What kind of number? Write all categories
0Rational
Natural, whole, integer
What kind of number? Write all categories
100Rational
Natural, whole, integer
Multiple Choice pg. 21. 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.”
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.”
ALSO, not decimals,0, or neg.s
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, …………….}
B. {0, 1, 2, 3, 4 ……………}
C. {….-3, -2, -1, 0, 1, 2, 3…..}
D. {-3, -2, -1, 0}
ALSO zero
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