ADVANCED TOPICS SYLLABUS 2007/2008
LOGIC, CODES, WWW
| F: 11.1 Binary code; base 2 arithmetic | 1 |
Converting bases ws |
| F: 11.1Arithmetic in other bases | 2 |
"cipherin" ws |
| F: 11.1-11.2 IP addresses |
3 |
study for "cipherin" quiz |
4 |
IP address ws | |
| F: 11.5 Intro to Logic | 5 |
F:read pp 388-392; pg403/22 |
| F: 11.5: Intro to Logic/Truth Tables | 6 |
Truth table packet/29-39 odds, 59, 61; Study for quiz over truth tables |
| F: 11.5 Intro to Logic/Truth Tables | 7 |
F: pg 403/17-19,29,31 |
| F 11.3: Web Crawler Algorithm | 8 |
F: pg 401 Skills Check/6-8; pg 402/8,9 |
| F 11.3: Web Crawler Algorithm | 9 |
F: pg 402/ 8, 9 add in the counter to these problems also |
| Test | Fri 9/14 |
F: Chapt 11--11.1-11.5 |
DISPLAYING AND ANALYZING DATA
| F: chapt 6; Introduction to variables | 10 |
Topic 1 packet/Act 1-8, 1-10 |
| F: chapt 6; calculator basics, histograms | 11 |
Topic 2 packet/Act 2-4 |
| F chapt 6; histograms | 12 |
make states SAT ave histogram with 5 bins and with 7 bins |
| F: chapt 6; stem plots | 13 |
Topic 3 packet, Act 3-4 (in packet), Act 3-11, 3-13, 3-14 just make stemplots (on separate paper) |
| F: chapt 6: describing distributions | 14 |
make dotplots of class scrabble data; describe features of both distributions |
| F: chapt 6: describing distributions | 15 |
Topic 3 packet--Act 3-3 |
| F: Chapt 6: describing distributions | 16 |
Topic 3 Packet--Act 3-6, 3-7, 3-9; study for quiz over stem plots and describing distributions |
17 |
F: read Sec 6.4, pg 214-218; pg 243/16,17 | |
| F: Chapt 6: numerical measures of center | 18 |
topic 4 packet, Act 4-3(use rower data form packet 3) |
| F: Chapt 6: numerical measures of spread: IQR and boxplots | 19 |
Topic 5 packet/Act 5.10a, 5.11, 5.14 |
| F: Chapt 6: standard deviation | 20 |
standard deviation ws |
| F: Chapt 6: standard deviation | 21 |
Topic 5 packet; Act 5.6 |
| Test | Mon 10/8 |
F: 6.1-6.7 |
PRODUCING DATA
| Intro to data gathering: population/sample | 22 |
population/sample ws |
| F5.1 Sampling basics/sampling bias | 23 |
F: pg 194/1-7;take an SRS of 20 Jelly Blubbers |
| F5.1 Sampling basics/sampling bias | 24 |
Topic 12 packet/Act 12.7, 12.10, 12.17 |
| F5.1- 5.3.Simple Random Samples; Sampling Variability | 25 |
Topic 12 packet/Act 12.21-12.23 |
| F: 5.3: other types of bias | 25 |
Topic 12 packet/Act 12.21-12.23 |
| F: 5.4/5.5 Experimental Design | 26 |
rd pg 182-183; pg 197/24-29 |
| F: 5.4/5.5 Experimental Design | 27 |
F: read pg 184-187; pg 198/30,31 |
| F: 5.4/5.5 Experimental Design | 28 |
Topic 13 packet: 13.5, 13.9,13.14,13.15 |
| Test | Wed 11/7 |
F: 5.1, 5.2, 5.3, 5.4, 5.5, 5.6 |
SIMULATIONS AND NORMAL DISTRIBUTIONS
| Introduction to Simulations. Act 14-1 | 29 |
topic 14 packet, Act 14.2 (a-e) |
| Simulations: Assigning random digits | 30 |
Simulations ws/5.54, 5.55 (use lines 50, 51, 52, 53 of random number table) |
| Density Curves. | Begin Winter Term 1 |
Density Curve ws/2.2,2.3 |
| Normal Distributions, the Emperical Rule | 2 |
Normal Curves ws |
| Normal Distributions, the Emperical Rule | 3 |
68-95-99.7 ws/2.6,2.7,2.8,2.12,2.13 |
| Normal Probability Calculations | 4 |
Topic 15 packet; 15.1 |
| Normal Proablility Calculations. | 5 |
2 example problems for nomal prob. calculations |
| Normal Proablility Calculations. | 6 |
Topic 15 hw packet,Act 15.4, 15.5, 15.6, 15.7 |
| Test | Fri 12/7 |
2 VARIABLE DATA
| F: sec 6.8-6.12:Scatterplots and Association | 7 |
Mark the gender beside each data point of the Height vs Foot scatterplot |
| F: sec 6.8-6.12: Scatterplots on the calculator | 8 |
Class particiption: Act 8-1 |
| F: sec 6.8-6.12: Intoduction to correlation | ||
| F: sec 6.8- 6.12: Meaning of correlation | 9 |
Act 9-4: enter data by hand |
| F:sec 6.8- 6.12: Least Squares Regression | 10 |
Review of lines ws/3.41, 3.42 |
| F:sec 6.8- 6.12: Least Squares Regression | 11 |
Act 10-5 a-c (use your own paper) |
| F:sec 6.8- 6.12: Least Squares Regression | 12 |
Act 10.10 a-d, Act 10.15 a, b |
| F:sec 6.8- 6.12: Least Squares Regression | LSRL Take Home Quiz |
|
| Test | Wed 1/23 |
F: 6-8 through 6-11 |
WAYS TO COUNT
| H1.1 Stories |
13
|
surf Heart of Math and pick 3 topics to study further. |
| H1.2/1.3 Nudges; Solutions |
14
|
write up solutions and be ready to present them to 4 of the 6 "story problems" |
| H1.4 Strategies |
15
|
H:pg 28-29/1,2,3,5,6; study for quiz over "story problems" |
| H2.1 Estimation | 16
|
H: pg 46-47/1, 2, 6, 7, 8 |
| H 2.1 Counting; Pigeonhole Principle |
17
|
H: pg 46-47/4,12-15 |
| H 2.2 Fibanocci and other Number Patterns |
18
|
H: pg 57/ 1, 6--the famous bunny problem |
|
19
|
pg 57-60/3,4,5,7,10,16,17 | |
| H 2.3 Prime Numbers | Study for quiz on pigeonhole principle and Fibanocci | |
|
20
|
H: pg 77-78/1,2,4,8,23-25,27 | |
| H 2.6 Irrational Numbers |
21
|
H: read pg 110-115 |
22
|
H: pg 118/ 1,2,10,12 | |
| Test | Fri 2/22
|
H: Chapt 1 and Chapt 2: 2.1, 2.2, 2.3, 2.6 |
COUNTING IN GEOMETRY
| F: 1.1 Intro to graph theory | 1
|
Euler Path Activity with chart |
| F: 1.1 Graph theory con't | 2
|
graph theory hw ws |
| F 1.1/1.2 Euler Paths and Euler circuits | 3
|
F: pg 23/5-8,10,13 |
| F1.2 Finding Euler Circuits | 4
|
F: pg 24-25/20,21,23 |
| F 1.3 Circuits With Reused Edges | 5
|
F: pg 25-27/27,28,32; study for quiz over Euler paths, connectd/disconnected graphs and Euler circuits |
| F 2.1 Hamiltonian Circuits; Traveling Salesmand Problem | 6
|
Eyewitness math ws/1,2 |
| F 2.1 Hamiltonian Circuits; Traveling Salesman Problem | 7
|
Solve TSP using Brute Force method for graph with n=5 (#3 on TSP ws) |
| F 2.2, 2/3 Nearest Neighbor and Sorted Edges Algorithms | 8
|
F: pg 65-68/20,22,23,27,28,29,34ab |
| Test 3-1 | Tues 4/1
|
|
| F 2.4 Minimum cost spanning trees; Kruskal's algorithm | 9
|
F: pg 67-69/40,43,46 |
| F2.5 PERT diagrams; Critical Path scheduling | 10
|
PERT diagram ws |
| F 2.5 PERT diagrams; Critical path scheduling | 11
|
Drawing PERT diagram ws; Study for quiz |
INFINITY
| H 2.7 Real Numbers | 12
|
H: pg 131/1,33,34 |
13
|
Real numbers decimal expansion ws | |
14
|
H:pg 131/2,4,8,10,11,12,17-21; Bring Heart of Math to Class | |
| H 3.1 What does Infinity Mean? | 15
|
one page essay on infinity: from personal, religious/philosophical, and mathematical perspectives |
16
|
H: pg 141/8-12, 21 | |
| H: 3.2 Comparing the Infinite | 17
|
H: pg 156/3,6-9,11 |
18
|
H: pg157/15 | |
| H: 3.3 Are Some Infinities Larger than Others? | 19
|
H: pg 168/2-5,8,11 |
| H: 3.5: Infinity and Geometry | 20
|
H: pg 202/2-8, 16 |
| Test 3-2 | Thurs 5/8
|
H: 2.7, 3.1, 3.2, 3.3, 3.5 |
GEOMETRIC GEMS/ODD AND ENDS
| Tessellations | Fri 5/16 |
Tessellation mini project due |
| L-Systems | ||
| L-Systems | Tues 5/20 |
L-Systems mini-project due |
| Game of Life |
UNIT 10: FRACTAL GEOMETRY