37 New INB & Classifying Numbers (1).notebook Happy Monday! You will be turning in and making new INBs today. (Make sure you have your INB or a notebook) 11/2 11/3 11/4 11/5 11/6 Monday Tuesday Wednesday Thursday Friday Spooktacular WS Quiz Oct 3 12:54 AM 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. Sep 30 5:42 PM 1
37 New INB & Classifying Numbers (1).notebook Number each of the pages in your book up to 20. Place the numbers up in the corners. first page 1 2 second page Front Back 3 4 Front Back Sep 30 5:45 PM 3 ~Line up the ruler with the red line. ~Draw a line down the side of the ruler. Sep 8 9:42 PM 2
37 New INB & Classifying Numbers (1).notebook Page # Table of Contents Topic 3 Neatly write the words "Page # and Topic. " Write the Title on the top "Table of Contents!" Sep 8 9:42 PM Table of Contents Page # Topic 1 2 Cover Page 3 Table of Contents 4 5 Classifying Numbers 3 Sep 8 9:42 PM 3
37 New INB & Classifying Numbers (1).notebook http://www.youtube.com/watch?v=m94wtzp14sa&feature=related Oct 28 8:47 PM Real Numbers Numbers s Numbers Irrational Numbers Numbers Oct 28 9:09 PM 4
37 New INB & Classifying Numbers (1).notebook Numbers: Also called the counting numbers, this set includes all of the whole numbers except zero (1, 2, 3,...) Numbers: Zero and the positive integers are the whole numbers. s: The counting numbers (1, 2, 3,...), their opposites (1, 2, 3,...), and zero are integers. Oct 28 6:59 PM Let's practice 7-11 as a fraction? Oct 28 9:44 PM 5
37 New INB & Classifying Numbers (1).notebook Let's practice 2 3 as a fraction? 0 Oct 28 9:44 PM Let's practice 6 1 5 16 as a fraction? Oct 28 9:44 PM 6
37 New INB & Classifying Numbers (1).notebook But what about this??? 7.5 0.35 as a fraction? Oct 28 9:44 PM Let's practice 0.3333333... 1 3 try or 1 3 0.727272... 8 11 try or 8 11 as a fraction? Oct 28 9:44 PM 7
37 New INB & Classifying Numbers (1).notebook So what really is a rational number? 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 Oct 28 9:50 PM So what about irrational numbers? Oct 28 10:18 PM 8
37 New INB & Classifying Numbers (1).notebook Teacher Murders Student For Proving Him Wrong 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! Oct 28 6:53 PM 2 = 1.4141356... 10= = Irrational 3.1622776... Irrational 3.141592653... Irrational Oct 28 10:02 PM 9
37 New INB & Classifying Numbers (1).notebook So what really is an irrational number? Any real number that cannot be written in fraction form is an irrational number. These include: the non terminating decimals non repeating decimals (pi, 0.45445544455544445555..., 2, etc.). Any square root that is not a perfect root Oct 28 9:50 PM Target: I can classify and Irrational Numbers. (in your notes books, INB page 4) fractions & any number that can be written as a fraction Such as... Repeating Decimals Terminating Decimals Irrational decimals that dont' stop or at don't repeat non-perfect square roots π Perfect Square Roots s Oct 20 2:35 PM 10
37 New INB & Classifying Numbers (1).notebook Classifying Numbers Showdown One member from each team will compete First person to correctly classify the number is the winner Oct 28 10:38 PM or Irrational? 8 0.121212... 2 25 Oct 28 10:44 PM 11
37 New INB & Classifying Numbers (1).notebook or Irrational? 4 5 0.123432... 1 2 3 Oct 28 10:44 PM Spooktacular Worksheet Oct 28 10:55 PM 12
37 New INB & Classifying Numbers (1).notebook Nov 1 4:21 PM 13