Cedars Math:Chapter 2 - Revision history

Eric Rasmusen at 20:13, 7 August 2025

2025-08-07T20:13:04Z

Eric Rasmusen: /* Lesson 2.3, Factors and Prime Numbers */

2025-08-07T18:57:35Z

‎Lesson 2.3, Factors and Prime Numbers

Eric Rasmusen: /* Lesson 2.2, Mixed Numbers */

2025-08-07T18:55:07Z

‎Lesson 2.2, Mixed Numbers

Eric Rasmusen at 07:29, 9 November 2024

2024-11-09T07:29:24Z

Eric Rasmusen at 07:27, 9 November 2024

2024-11-09T07:27:17Z

Rasmusen p1vaim: Created page with "Click here to go back to the Cedars Math front page. ==Chapter Two: Fractions== === Lesson 2.2, Mixed Numbers. Monday, September 21. === *[http://www.rasm..."

2022-01-19T20:58:48Z

Created page with "Click here to go back to the Cedars Math front page. ==Chapter Two: Fractions== === Lesson 2.2, Mixed Numbers. Monday, September 21. === *[http://www.rasm..."

New page

Click [[Cedars Math|here to go back]] to the Cedars Math front page.

==Chapter Two: Fractions==
=== Lesson 2.2, Mixed Numbers. Monday, September 21. ===
*[http://www.rasmusen.org/special/Cedars_School/2021_09_20_Cedars_7th_grade_outdoors.mp4 Video of today's class.]

*Still pictures that Olivia took: [http://www.rasmusen.org/special/Cedars_School/20210920_Outdoors_class.jpg whole class ] and [http://www.rasmusen.org/special/Cedars_School/20210920Olivet_Killingsworth_Mr_Rasmusen.jpg Olivet,] and [http://www.rasmusen.org/special/Cedars_School/20210920_Noah_Bailey_Mr_Rasmusen.jpg Noah ] and [http://www.rasmusen.org/special/Cedars_School/20210920_BrileyWhite_Mr_Rasmusen.jpg Briley.]

=== Lesson 2.3, Factors and Prime Numbers. Wednesday, September 23.===
*The "All Odd Numbers Are Prime" [https://www.rasmusen.org/rasmapedia/index.php?title=Jokes#All_Odd_Numbers_Are_Prime joke] and [http://www.rasmusen.org/special/Cedars_School/Odd_number_script--14Students.pdf joke script]

=== Lesson 2.4, Putting a Fraction into Lowest Terms . Friday, September 25. ===

=== Lesson 2.4b, Plotting Functions, Divisibility by 2, 3, 5, 7, 10 Monday, September 27. ===
*[http://www.rasmusen.org/special/Cedars_School/02_04b_hw_Plotting_Functions.pdf HW 2.4b supplement: Plotting Functions with Python] and zoom office hour sessions [http://www.rasmusen.org/special/Cedars_School/2021.09.28a_Coding.mp4 one] and [http://www.rasmusen.org/special/Cedars_School/2021.09.28b_coding.mp4 two ] on problems with the homework.

*[https://www.khanacademy.org/math/in-in-class-6th-math-cbse/x06b5af6950647cd2:playing-with-numbers/x06b5af6950647cd2:tests-for-divisibility/v/the-why-of-the-3-divisibility-rule Khan Academy] on divisibility by three, and [https://www.lucaswillems.com/en/articles/1/divisibility-by-3?cache=update a better, written, exposition. ]

*I've written up [http://www.rasmusen.org/special/Cedars_School/02_04b_handout_python_divisibility.pdf a handout of some Python code for testing divisibility] by 2,3,5, and 7. Its purpose is to illustrate how one has to write up instructions for a computer carefully and clearly.

=== Lesson 2.5, Multiplying Fractions. Wednesday, September 29. ===
*[https://en.wikipedia.org/wiki/Gordon_Klein Gordon Klein's Wikipedia Page]

=== Lesson 2.7, Dividing Fractions. Friday, October 1. ===

===Lesson 2.8a, More Multiplication. Monday, October 4. ===
*The "All Odd Numbers Are Prime" [https://www.rasmusen.org/rasmapedia/index.php?title=Jokes#All_Odd_Numbers_Are_Prime_.28The_Polya_Conjecture.29 joke] and [http://www.rasmusen.org/special/Cedars_School/Odd_number_script--14Students.pdf joke script]. The video of [http://www.rasmusen.org/special/Cedars_School/oddnumbers_1_explanation.mp4 part 1] (explanation of primes) and [http://www.rasmusen.org/special/Cedars_School/oddnumbers_2_explanation_2.mp4 part 2 (explanation of people)] and [http://www.rasmusen.org/special/Cedars_School/oddnumbers_3_joke_itself.mp4 part 3 (the joke itself)] and [http://www.rasmusen.org/special/Cedars_School/oddnumbers_4_polya_conjecture.mp4 part 4 (Polya Conjecture)]of the odd number joke. The [http://www.rasmusen.org/special/Cedars_School/Polya_python_Connell.pdf Python code] by Professor Connell to test the Polya Conjecture.

===Lesson 2.8b, Wednesday, October 6. Emails, Prime Numbers ===
*[http://www.rasmusen.org/special/Cedars_School/02_08b_ Prime_Proof_handout.pdf Handout] on Euclid's proof, ] and [https://primes.utm.edu/notes/proofs/infinite/euclids.html "Euclid's Proof of the Infinitude of Primes" ] and [http://www.rasmusen.org/special/Cedars_School/prime_proof.mp4 five-minute video ] of Mr. Rasmusen going through the proof.

*[http://www.rasmusen.org/special/Cedars_School/02_08b_Writing_letters_and_Emails.pdf Handout] on writing emails

*[http://www.rasmusen.org/special/Cedars_School/02_08b_hw_latex_emails_primeproof.pdf Homework 2.8b. ]

*Gordon Klein [https://www.realclearpolitics.com/video/2021/10/05/professor_suspended_for_refusing_to_grade_students_based_on_race_says_lawsuit_will_teach_ucla_a_lesson_in_law_and_ethics.html video ] from Fox's Tucker Carlson Show.

'''Friday, October 8. No class. Trip to Indianapolis.'''

''' Monday, Wed., Friday, Fall Break.'''

@@ Line 10: / Line 10: @@
 *The "All Odd Numbers Are Prime"  [https://www.rasmusen.org/rasmapedia/index.php?title=Jokes#All_Odd_Numbers_Are_Prime   joke] and [http://www.rasmusen.org/special/Cedars_School/Odd_number_script--14Students.pdf  joke script]
-*[02.03_sieve-of-eratosthenesQUESTIONS-to-100.pdf      ]
+*Sieve of Eratoshthenes  [http://www.rasmusen.org/special/Cedars_School/02.03_sieve-of-eratosthenesQUESTIONS-to-100.pdf   empty ]
 and
-.04_sieve-of-eratosthenes-to-100ans.gif
+*[http://www.rasmusen.org/special/Cedars_School/02.04_sieve-of-eratosthenes-to-100ans.gif  filled]
-.07b_Factorial_Proof.pdf and 02.07b_Factorial_Proof.tex
+*Factorial proof in [http://www.rasmusen.org/special/Cedars_School/02.07b_Factorial_Proof.pdf pdf]  and [http://www.rasmusen.org/special/Cedars_School/02.07b_Factorial_Proof.tex tex].
-_03_ Prime_Proof_handout.pdf and 02_03_ Prime_Proof_handout.tex
+*Prime proof in [http://www.rasmusen.org/special/Cedars_School/02_03_ Prime_Proof_handout.pdf pdf] and [http://www.rasmusen.org/special/Cedars_School/02_03_ Prime_Proof_handout.tex tex]
-_05_Dice.docx
+*[http://www.rasmusen.org/special/Cedars_School/02_05_Dice.docx Dice rolls]
-to1PrimeNumber.jpg
+*[http://www.rasmusen.org/special/Cedars_School/82to1PrimeNumber.jpg The 82 to 1 prime number]
-_08d_Definitions_Humpty_Dumpty.docx
+*[http://www.rasmusen.org/special/Cedars_School/02_08d_Definitions_Humpty_Dumpty.docx Humpty Dumpty on definitions]
 === Lesson 2.4, Putting a Fraction into Lowest Terms   ===

@@ Line 9: / Line 9: @@
 === Lesson 2.3,  Factors and Prime Numbers ===
 *The "All Odd Numbers Are Prime"  [https://www.rasmusen.org/rasmapedia/index.php?title=Jokes#All_Odd_Numbers_Are_Prime   joke] and [http://www.rasmusen.org/special/Cedars_School/Odd_number_script--14Students.pdf  joke script]
 === Lesson 2.4, Putting a Fraction into Lowest Terms   ===

@@ Line 3: / Line 3: @@
 ==Chapter Two: Fractions==
 === Lesson 2.2,  Mixed Numbers    ===
-*[http://www.rasmusen.org/special/Cedars_School/2021_09_20_Cedars_7th_grade_outdoors.mp4 Video of today's class.]
+*[http://www.rasmusen.org/special/Cedars_School/2021_09_20_Cedars_7th_grade_outdoors.mp4 Video of  class.]
-*Still pictures that Olivia took: [http://www.rasmusen.org/special/Cedars_School/20210920_Outdoors_class.jpg  whole class ] and [http://www.rasmusen.org/special/Cedars_School/20210920Olivet_Killingsworth_Mr_Rasmusen.jpg  Olivet,] and [http://www.rasmusen.org/special/Cedars_School/20210920_Noah_Bailey_Mr_Rasmusen.jpg  Noah ] and [http://www.rasmusen.org/special/Cedars_School/20210920_BrileyWhite_Mr_Rasmusen.jpg  Briley.]
+*Old: Still pictures: [http://www.rasmusen.org/special/Cedars_School/20210920_Outdoors_class.jpg  whole class ] and [http://www.rasmusen.org/special/Cedars_School/20210920Olivet_Killingsworth_Mr_Rasmusen.jpg  Olivet,] and [http://www.rasmusen.org/special/Cedars_School/20210920_Noah_Bailey_Mr_Rasmusen.jpg  Noah ] and [http://www.rasmusen.org/special/Cedars_School/20210920_BrileyWhite_Mr_Rasmusen.jpg  Briley.]
 === Lesson 2.3,  Factors and Prime Numbers ===

@@ Line 28: / Line 28: @@
 *The "All Odd Numbers Are Prime"  [https://www.rasmusen.org/rasmapedia/index.php?title=Jokes#All_Odd_Numbers_Are_Prime_.28The_Polya_Conjecture.29   joke]  and [http://www.rasmusen.org/special/Cedars_School/Odd_number_script--14Students.pdf  joke script]. The video of [http://www.rasmusen.org/special/Cedars_School/oddnumbers_1_explanation.mp4  part 1] (explanation of primes)    and [http://www.rasmusen.org/special/Cedars_School/oddnumbers_2_explanation_2.mp4  part 2 (explanation of people)] and [http://www.rasmusen.org/special/Cedars_School/oddnumbers_3_joke_itself.mp4  part 3 (the joke itself)] and [http://www.rasmusen.org/special/Cedars_School/oddnumbers_4_polya_conjecture.mp4  part 4 (Polya Conjecture)]of the odd number joke. The [http://www.rasmusen.org/special/Cedars_School/Polya_python_Connell.pdf   Python code]  by Professor Connell to test the Polya Conjecture.
-===Lesson 2.8b, Wednesday, October 6.   Emails, Prime Numbers   ===
+===Lesson 2.8b,    Emails, Prime Numbers   ===
 *[http://www.rasmusen.org/special/Cedars_School/02_08b_ Prime_Proof_handout.pdf Handout] on Euclid's proof, ] and [https://primes.utm.edu/notes/proofs/infinite/euclids.html   "Euclid's Proof of the Infinitude of Primes" ] and [http://www.rasmusen.org/special/Cedars_School/prime_proof.mp4  five-minute video ] of Mr. Rasmusen going through the proof.
@@ Line 35: / Line 35: @@
 *[http://www.rasmusen.org/special/Cedars_School/02_08b_hw_latex_emails_primeproof.pdf Homework 2.8b. ]
 *Gordon Klein [https://www.realclearpolitics.com/video/2021/10/05/professor_suspended_for_refusing_to_grade_students_based_on_race_says_lawsuit_will_teach_ucla_a_lesson_in_law_and_ethics.html   video ]  from Fox's Tucker Carlson Show.

@@ Line 2: / Line 2: @@
 ==Chapter Two: Fractions==
-=== Lesson 2.2,  Mixed Numbers. Monday, September 21.   ===
+=== Lesson 2.2,  Mixed Numbers    ===
 *[http://www.rasmusen.org/special/Cedars_School/2021_09_20_Cedars_7th_grade_outdoors.mp4 Video of today's class.]
 *Still pictures that Olivia took: [http://www.rasmusen.org/special/Cedars_School/20210920_Outdoors_class.jpg  whole class ] and [http://www.rasmusen.org/special/Cedars_School/20210920Olivet_Killingsworth_Mr_Rasmusen.jpg  Olivet,] and [http://www.rasmusen.org/special/Cedars_School/20210920_Noah_Bailey_Mr_Rasmusen.jpg  Noah ] and [http://www.rasmusen.org/special/Cedars_School/20210920_BrileyWhite_Mr_Rasmusen.jpg  Briley.]
-=== Lesson 2.3,  Factors and Prime Numbers. Wednesday, September 23.===
+=== Lesson 2.3,  Factors and Prime Numbers ===
 *The "All Odd Numbers Are Prime"  [https://www.rasmusen.org/rasmapedia/index.php?title=Jokes#All_Odd_Numbers_Are_Prime   joke] and [http://www.rasmusen.org/special/Cedars_School/Odd_number_script--14Students.pdf  joke script]
-=== Lesson 2.4, Putting a Fraction into Lowest Terms . Friday, September 25. ===
+=== Lesson 2.4, Putting a Fraction into Lowest Terms   ===
-=== Lesson 2.4b,   Plotting Functions, Divisibility by 2, 3, 5, 7, 10 Monday, September 27. ===
+=== Lesson 2.4b,   Plotting Functions, Divisibility by 2, 3, 5, 7,   ===
 *[http://www.rasmusen.org/special/Cedars_School/02_04b_hw_Plotting_Functions.pdf  HW 2.4b supplement: Plotting Functions with Python] and zoom office hour sessions [http://www.rasmusen.org/special/Cedars_School/2021.09.28a_Coding.mp4   one]  and [http://www.rasmusen.org/special/Cedars_School/2021.09.28b_coding.mp4   two ]  on problems with the homework.
@@ Line 19: / Line 19: @@
 *I've written up [http://www.rasmusen.org/special/Cedars_School/02_04b_handout_python_divisibility.pdf    a handout of  some Python code for testing divisibility] by 2,3,5, and 7.    Its purpose is to illustrate how one has to write up instructions for a computer carefully and clearly.
-=== Lesson 2.5, Multiplying   Fractions. Wednesday, September 29.   ===
+=== Lesson 2.5, Multiplying   Fractions   ===
 *[https://en.wikipedia.org/wiki/Gordon_Klein   Gordon Klein's Wikipedia Page]
-=== Lesson 2.7, Dividing   Fractions.  Friday, October 1. ===
+=== Lesson 2.7, Dividing   Fractions  ===
-===Lesson 2.8a, More Multiplication. Monday, October 4.    ===
+===Lesson 2.8a, More Multiplication     ===
 *The "All Odd Numbers Are Prime"  [https://www.rasmusen.org/rasmapedia/index.php?title=Jokes#All_Odd_Numbers_Are_Prime_.28The_Polya_Conjecture.29   joke]  and [http://www.rasmusen.org/special/Cedars_School/Odd_number_script--14Students.pdf  joke script]. The video of [http://www.rasmusen.org/special/Cedars_School/oddnumbers_1_explanation.mp4  part 1] (explanation of primes)    and [http://www.rasmusen.org/special/Cedars_School/oddnumbers_2_explanation_2.mp4  part 2 (explanation of people)] and [http://www.rasmusen.org/special/Cedars_School/oddnumbers_3_joke_itself.mp4  part 3 (the joke itself)] and [http://www.rasmusen.org/special/Cedars_School/oddnumbers_4_polya_conjecture.mp4  part 4 (Polya Conjecture)]of the odd number joke. The [http://www.rasmusen.org/special/Cedars_School/Polya_python_Connell.pdf   Python code]  by Professor Connell to test the Polya Conjecture.