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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
18


independent study
20


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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