### Mr. Goodrich`s Class

```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:
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.”