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37 New INB & Classifying Rational Numbers (1).notebook
1
November 02, 2015
Oct 312:54 AM
Happy Monday!
You will be turning in and making new INBs today.(Make sure you have your INB or a notebook)
Monday Tuesday Wednesday Thursday Friday
Spooktacular WS Quiz
11/2 11/3 11/4 11/5 11/6
Sep 305:42 PM
We are turning in our INBs today. Please cut out the pages we have used and keep them in order.We will staple them together. Be sure to put your name on your cover.
37 New INB & Classifying Rational Numbers (1).notebook
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November 02, 2015
Sep 305:45 PM
Number each of the pages in your book up to 20. Place the numbers up in the corners.
1 2
Front Back3 4
Front Back
first page
second page
Sep 89:42 PM
~Line up the ruler with the red line.
~Draw a line down the side of the ruler.
3
37 New INB & Classifying Rational Numbers (1).notebook
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November 02, 2015
Sep 89:42 PM
Neatly write the words "Page # and Topic. "
Page #Table of Contents
Topic3
Write the Title on the top "Table of Contents!"
Sep 89:42 PM
Page #Table of Contents
Topic3
1 2 Cover Page3 Table of Contents45 Classifying Rational Numbers
37 New INB & Classifying Rational Numbers (1).notebook
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November 02, 2015
Oct 288:47 PM
http://www.youtube.com/watch?v=m94WTZP14SA&feature=related
Oct 289:09 PM
Rational Numbers
Real Numbers
Integers
Whole Numbers
NaturalNumbers
IrrationalNumbersIrrationalNumbers
37 New INB & Classifying Rational Numbers (1).notebook
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Oct 286:59 PM
Whole Numbers: Zero and the positive integers are the whole numbers.
Integers: The counting numbers (1, 2, 3, ...), their opposites (1, 2, 3, ...), and zero are integers.
Natural Numbers: Also called the counting numbers, this set includes all of the whole numbers except zero (1, 2, 3, ....) Also called the counting numbers, this set includes all of the whole numbers except zero (1, 2, 3, ....)
Zero and the positive integers are the whole numbers.
The counting numbers (1, 2, 3, ...), their opposites (1, 2, 3, ...), and zero are integers.
Oct 289:44 PM
Let's practice
7 NaturalWholeIntegerRational
-11NaturalWholeIntegerRational
as a fraction?
37 New INB & Classifying Rational Numbers (1).notebook
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November 02, 2015
Oct 289:44 PM
Let's practice
23
NaturalWholeIntegerRational
0NaturalWholeIntegerRational
as a fraction?
Oct 289:44 PM
Let's practice
16
NaturalWholeIntegerRational
NaturalWholeIntegerRational
6 15
as a fraction?
37 New INB & Classifying Rational Numbers (1).notebook
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November 02, 2015
Oct 289:44 PM
But what about this???NaturalWholeIntegerRational
NaturalWholeIntegerRational
7.5
0.35
as a fraction?
Oct 289:44 PM
Let's practiceNaturalWholeIntegerRational
0.727272...NaturalWholeIntegerRational
0.3333333...try or 1 ÷ 3
13
try or 8 ÷ 118
11
as a fraction?
37 New INB & Classifying Rational Numbers (1).notebook
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November 02, 2015
Oct 289:50 PM
Any number that can be written in fraction form is a rational number.
This includes: integers
fractions
terminating decimals
repeating decimals as well as fractions
the square roots of perfect squares
So what really is a rational number?
Oct 2810:18 PM
So what about irrational numbers?
37 New INB & Classifying Rational Numbers (1).notebook
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November 02, 2015
Oct 286:53 PM
The ancient greek mathematician Pythagoras believed that all numbers were rational (could be written as a fraction), but one of his students Hippasus proved (using geometry, it is thought) that you could not represent the square root of 2 as a fraction, and so it was irrational.
However Pythagoras could not accept the existence of irrational numbers, because he believed that all numbers had perfect values. But he could not disprove Hippasus' "irrational numbers" and so Hippasus was thrown overboard and drowned!
Teacher Murders Student For Proving Him Wrong
Oct 2810:02 PM
2NaturalWholeIntegerRationalIrrational
1.4141356...=10=3.1622776...
NaturalWholeIntegerRationalIrrational
= NaturalWholeIntegerRationalIrrational
3.141592653...
37 New INB & Classifying Rational Numbers (1).notebook
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November 02, 2015
Oct 289:50 PM
So what really is an irrational number?Any real number that cannot be written in fraction form is an irrational number.
These include: the nonterminating decimals
nonrepeating decimals (pi, 0.45445544455544445555..., 2, etc.).
Any square root that is not a perfect root
Oct 202:35 PM
(in your notes books, INB page 4)
Rational Irrationalfractions &any number that canbe written as a fraction
atnon-perfect square roots
π
decimals that dont' stop or don't repeat
Such as...Repeating Decimals
Perfect Square Roots
Terminating Decimals
Integers
Target: I can classify Rational and Irrational Numbers.
37 New INB & Classifying Rational Numbers (1).notebook
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November 02, 2015
Oct 2810:38 PM
Classifying Numbers Showdown
One member from each team will compete
First person to correctly classify the number is the winner
Oct 2810:44 PM
Rational or Irrational?8 0.121212...
2 25
37 New INB & Classifying Rational Numbers (1).notebook
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November 02, 2015
Oct 2810:44 PM
Rational or Irrational?45 0.123432...
132
Oct 2810:55 PM
Spooktacular Worksheet
37 New INB & Classifying Rational Numbers (1).notebook
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November 02, 2015
Nov 14:21 PM