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

2

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

3

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

5

November 02, 2015

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

6

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

7

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

8

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

9

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

11

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