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.

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