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Post Algebra Unit 3



Unit 3 : Balance

Post Algebra Concepts:

24. Integers
25. Odd and Even Numbers
26. Rational Numbers
27. Irrational Numbers
28. Complex Numbers
29. Number Proofs

Objectives:

To really understand all numbers.
To understand the WHYs and HOWs of proof.

JAN 6
Go over Midterms

7
Introduce formality.


Jacobs, chapter 2, lesson 1 (2 problems from each set)
9
Continue with Jacobs Chapter 2. 2 problems from each set of lessons 2 and 3.
13


Continue with Jacobs Ch 2

14



16


review for quiz


20  



no school
21   
review games
23


27


return quiz
pythagorean theorem proof
HW - memorize the first proof on this page of the pythagorean theorem and be able to explain it

28


2 is irrational proof
HW - memorize proof that 2 is irrational (write it over and over)

30


Prove the pythagorean theorem and that 2  is irrational


FEB 3


Discuss chapters 1&2


watch chapters 3, 4 & 5


HW - watch ch 5 again
4  


discuss chapters 3, 4 & 5, particularly 5


field axioms, intro to complex number addition and multiplication


HW - watch ch 5 yet again




6


sketch of proof that there are as many points in a circle as on the real number line


Countably infinite - first 1.5 pages of this handout


HW - try to prove that 2N ~ N

10


The rest of the year:




and




Your grade will be based on what we did in the last 5 weeks, how much of Geo and Ruby you cover, and your final project.

11


independent study
13


independent study
17


no school
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independent study
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independent study

24


independent study


25


independent study


27


independent study
3


independent study

4


independent study
6


independent study
10


Review


11


Review
13


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