Difference between revisions of "Cedars Math:Chapter 1"

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(1.9 Word problems)
(1.6 Long Division)
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=== 1.6  Long Division ===
 
=== 1.6  Long Division ===
 
*Handout: [https://indianapublicmedia.org/news/bloomington-council-adopts-new-district-boundaries.php City Council districts] in Bloomington.
 
*Handout: [https://indianapublicmedia.org/news/bloomington-council-adopts-new-district-boundaries.php City Council districts] in Bloomington.
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*[https://sites.pitt.edu/~dash/alibaba.html "Alibaba and the Forty Thieves,"] in the Lang retelling (best) and the Richard Burton translation of the original (not as good).
  
 
*[https://math.stackexchange.com/questions/1435339/for-numbers-divisible-by-three-why-is-the-sum-of-their-digits-able-to-be-divide/1435353#1435353 Proofs that the sum of its digits being divisible by three shows that a number is divisible by three] at Math Stack Exchange. (not done in class)
 
*[https://math.stackexchange.com/questions/1435339/for-numbers-divisible-by-three-why-is-the-sum-of-their-digits-able-to-be-divide/1435353#1435353 Proofs that the sum of its digits being divisible by three shows that a number is divisible by three] at Math Stack Exchange. (not done in class)

Revision as of 13:05, 30 August 2023

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Words and Ideas

Consonants 
Vowels
Achtung Panzer
Associative property
Inverse
Commutative property
 Gross domestic product
Hyphen
Dash
Magic Square
Matrix
Trillion
Aphantasia
Graphing multiplication
10^1 = 10 = 10**1 = 10
10^2 = 10*10 = 10**2 = 100.
10^3 = 10*10*10 = 10**3= 1,000. 


Chapter 1: Whole Numbers

1.1 Counting

*"THE BIGGEST NUMBERS IN THE UNIVERSE," BRYAN CLAIR (2001). Not used in class.

1.2 Addition

1.3 Subtraction

1.4 Multiplication

*"How to Solve It: Ways to Compute 5x15"

1.5 Short Division

1.6 Long Division

*Handout: City Council districts in Bloomington. *"Alibaba and the Forty Thieves," in the Lang retelling (best) and the Richard Burton translation of the original (not as good). *Proofs that the sum of its digits being divisible by three shows that a number is divisible by three at Math Stack Exchange. (not done in class)

1.7 Rounding

1.8 Order of operations, exponents

Graphics

*T and T Repairables, a used car dealership out west in the country. *Homework 8 (graphics, Python)

1.9 Word problems

*Test 1, (arithmetic, writing numbers in words). *Homework 9 (word problems). Remember also to ask your parents what is necessary for salvation, and, in particular, why just deciding to believe is not enough. The key verse is "Thou believest that there is one God; thou doest well: the devils also believe, and tremble." James 2:19. *Here is a good blog post on prayer flags and prayer wheels, with gorgeous photographs if the Himalaya Mountains. Someone came up with the idea of the "prayer wagon": drawings here and here. Relatedly, the parable of Lazarus and the Rich Man (Luke) came up in class. *WORDS: Amiable, endless loop. * "When I was a boy of fourteen, my father was so ignorant I could hardly stand to have the old man around. But when I got to be twenty-one, I was astonished at how much he had learned in seven years." Mark Twain, "Old Times on the Mississippi," Atlantic Monthly, 1874. *Homework 7 (exponents, neatness) *Python Code print("Buddhist code.") x = 4 item=1 while x<6: print("Glory to God in the highest!",item) item = item +1 print ("The End.") *Steps in solving word problems: 1. Figure out what the question is and what kind of number is supposed to be the answer. 2. Figure out which numbers in the question are relevant--- some numbers might well be irrelevant to getting to the answer. 3. Figure out what techniques you are going to need, e.g., addition, division, Python coding, looking up something on the Internet. *1/2-hour Zoom lecture on Python plotting.