Essential Question (EQ): How is the process of classifying trees and the
process of classifying numbers similar? What is the difference between a
rational number and an irrational number?
Types of trees
REAL, FAKE, PALM, PINE, FRUIT, WOODEN
Fake
Pine
Plastic Christmas tree: ____________
____________
Essential Question (EQ): How is the process of classifying trees and the
process of classifying numbers similar? What is the difference between a
rational number and an irrational number?
Types of trees
REAL, FAKE, PALM, PINE, FRUIT, WOODEN
Palm
Wooden
Tree common in Hawaii: Real
_____ _______
_________
Essential Question (EQ): How is the process of classifying trees and the
process of classifying numbers similar? What is the difference between a
rational number and an irrational number?
Types of trees
REAL, FAKE, PALM, PINE, FRUIT, WOODEN
Fruit
Wooden
Real
Apple tree: ____________
____________
__________
Essential Question (EQ): How is the process of classifying trees and the
process of classifying numbers similar? What is the difference between a
rational number and an irrational number?
Vocabulary –Shoot For The Stars
30 seconds
I got this! I know this word AND I could even
teach it to somebody else.
I think I know this word, but I need more practice.
I am clueless! I have no idea what this word
means.
Essential Question (EQ): How is the process of classifying trees and the
process of classifying numbers similar? What is the difference between a
rational number and an irrational number?
Vocabulary – Abbreviate when you can.
Almost every number is Real. Not until H.S. will a # not be real.
Real #: ________________________________________________
Any number that can be expressed as a fraction; written as a
decimal, it either ends OR repeats itself.
____________________________________________
Rational #:
Irrational #:
Any number that cannot be expressed as a fraction;
written as a decimal, it goes on forever AND never repeats.
____________________________________________
Any number used for counting things… 1, 2, 3, 4…
Counting #: ____________________________________________
All counting numbers PLUS the number zero… 0, 1, 2, 3, 4…
Whole #: ______________________________________________
Integer #:
All positive whole numbers PLUS the number zero PLUS all
negative whole numbers… …, -3, -2, -1, 0, 1, 2, 3, 4….
______________________________________________
Essential Question (EQ): How is the process of classifying trees and the
process of classifying numbers similar? What is the difference between a
rational number and an irrational number?
Commercial Break
Quote of the Day:
“You have brains in your head. You have feet in
your shoes. You can steer yourself any direction
you choose. You’re on your own. And you know
what you know. And YOU are the one who’ll decide
where to go…” – Dr. Seuss
Essential Question (EQ): How is the process of classifying trees and the
process of classifying numbers similar? What is the difference between a
rational number and an irrational number?
Practice Sentence Frames
______
is a rational number, but ______ is an irrational
23
number.
3.168229016317734…
______ is a rational number, but _____________________
is an irrational number.
Essential Question (EQ): How is the process of classifying trees and the
process of classifying numbers similar? What is the difference between a
rational number and an irrational number?
Important Notes
ends OR ________.
repeats
The decimal form of a rational # always ______
ends AND never ____________.
repeats
The decimal form of irrational # never ______
4, 16, 49
root of a perfect _________
square is ___________.
rational
The square________
7, 10, 18
root
irrational
The square ________
of a NON perfectsquare
__________ is ____________.
Essential Question (EQ): How is the process of classifying trees and the
process of classifying numbers similar? What is the difference between a
rational number and an irrational number?
Quickwrite
IN YOUR OWN WORDS, WRITE A COMPLETE SENTENCE
THAT DESCRIBES WHY THE NUMBER PI IS AN
IRRATIONAL NUMBER.
Essential Question (EQ): How is the process of classifying trees and the
process of classifying numbers similar? What is the difference between a
rational number and an irrational number?
Modeling – Thinking Map
All numbers are
REAL NUMBERS
Rational
Irrational
Pi,
2.35231…,
square root
of 22
Counting
Whole
Integer
1,2,3..
0,1,2..
-1,0,1
Essential Question (EQ): How is the process of classifying trees and the
process of classifying numbers similar? What is the difference between a
rational number and an irrational number?
THINK / PAIR / SHARE
Step 1 – Spend 20 seconds thinking silently. Come up
with your own example of a rational # and irrational #.
Step 2 – Spend 30 seconds pairing up with your learning
partner filling in the sentence… “_____ is a rational #, but
_____ is irrational because the decimal form of _____ ends
or repeats; while the decimal form of ____ never ends
and never repeats.”
Step 3 – Volunteer to share your answer with the class…
Volunteers will receive a Goodybuck.