Mathematics 3000 Secondary 5 Cst Answers

Math Secondary 5 CST

Page history last edited by cathy martin 4 years, 5 months ago

Notes from Tutorial June 6th 2017

Also:

Below are some notes and links to material used in classes from 4 years ago....

Chapter 1

Optimization: Polygon of constraints

Week 1-2

Graphing a line: y=ax+b

Work:

pages 4,5,6 workbook (the workbooks are on order)

Text Book p.

Week 3-4

Inequalities

notes

Understanding variables

notes on word problems

Worksheet on graphing one inequality:

p.1 p.2 p.3 p.4 p.5

practice shading Inequalities

Links: http://www.mathwarehouse.com/algebra/linear_equation/interactive-linear-inequality.php

http://www.algebra-class.com/graphing-systems-of-inequalities-practice.html

Test:

graphing lines, graphing inequalities

transforming sentences into equations and inequalities

Systems of Linear Relations

Using comparison, substitution and elimination

notes on solving systems (finding where 2 lines intersect)

word problems and systems: http://www.purplemath.com/modules/systprob.htm

Inequalities: Practice with world problems

week 5

writing the equation/inequality

from a graph

TEST Monday Oct 3rd

Practice on word problems: writing inequalities Oct 1rst

http://www.algebra-class.com/systems-of-inequalities-practice.html

Polygon of constraints

Including: Word problems, shading,

Plus finding the inequality from a graph

Practice and review: check out this link: http://www.purplemath.com/modules/syslneq.htm

Finding the Vertices (corners)

TEST Wednesday Oct 11 2012

Optimization

Review Answers to review

Workbook pages 23-24

Optimizing Function

Finding the optimal point

Optimization/Polygons of constraints:

page 21

page 23

page 25

page 28

page 29

page 33

Chapter 2 Graph Theory

Graph Theory: Intro and vocabulary workbook page 38-43 Chromatic Number textbook page 50
Chains (Paths) and Circuits (Cycles)
Euler and Hamiltonian Graphs Answers to workbook p 50 51 52 53
Various Graphs (Tree, Directed, Weighted) Answers to workbook page 54 55 56 57 58 59
Optimization Problems page 60 #1 the chain BFGEHD with value 22 Page 611 2. ACBDA OR ADBCA with traveling time 65 minutes. He will be back home at 13:05 3. The chain AGIB with value 30 million dollars 4. a) ABCDA or ADCBA with value 100 b) maximal vale: ACBDA or ADBCA with value of 170 5. ERYMESC with duration 18 minutes Activity 2 a) $106 000 (page 62) b) 1. Yes 2. No 3. The graph must remain connected c)1. Choose the least expensive edge (trail) 2. We choose among the remaining edges the least expensive on that does not form a simple cycle. 3. We reapt step 2 until we obtain a connected graph d) 3. $40000 page 63 page 64 9. a) 5 conduits b) $15 500


Critical Paths, finding the minimal route (take the longest path) page 66 67 Chromatic number ( putting incompatible items on different teams) page 68 69
page 33	answers
Graph Theory: (chapter 2 evaluation) page 70 page 71 page 72 page 73 page 74

Chapter 3

Notes on area and volume: finding missing values and scale factor (reveiew)

April 9 2013

Chapter 4 Probability

Assigned Work

Brief Description (use workbook for more info)	Voting procedures: Majority, Plurality, Condorcet, Borda, Elimination, Proportional (% of seats = % of popular vote) Workbook: Summary p.147 of workbook Practice p 148 problem 1 and 2 (answers) p. 149 # 3, 4, 5 (answers) p. 150 #7 (answers)
May 14 20120 Work on contingency tables	Probability of an Event, Venn Diagrams, Notes: Probabilit y Creating Venn Diagrams Contingency Tables notes Workbook problems: Probability of an event: p. 160 (answers) 161 (answers) Venn Diagrams p. 168 (answers) p. 169 (answers) May 14th contingency table example and worksheet May 14th answers to contingency table Probability review Memory Aid, Pracitice
	Practice set theory notation at this website http://wblrd.sk.ca/~mathb30cs/prob/les2/notes.html Conditional probability here: http://www.saskschools.ca/curr_content/mathb30/prob/les2/notes2.html


Notebook notes	More notes on contingency tables: dealing with word problems NOTES CREATING A CONTINGENCY TABLE FROM A WORLD PROBLEM (PDF)

Previous work: Carrousel : conditional probability Workbook pp 160, 161, 170,171,172,178,

May 12	Visions PP 100-101 #4 #9 pp 109-112 #8,#9,#12
May 13	Quiz, handout on conditional probability
May 17	Practice set theory notation at this website http://wblrd.sk.ca/~mathb30cs/prob/les2/notes.html Conditional probability here: http://www.saskschools.ca/curr_content/mathb30/prob/les2/notes2.html
Week of May 21rst	Voting procedures (started May 19th workbook pages 146-147 #1. Start review
Week of May 24th	Starting review: Review packet given out in class answers will be posted on the site soon.

Midyear Review January 2012

Answer to handout on Polygons and Optimization

answers page 1 page 2 page 2 with new constraint page 3 page 4 page 5

note that the answer on page 2 is

vertex C (120, 180): 120 Thermex models and 180 Calorex models offer the maximum Revenue ($189 000)

With a new constraint the optimal choice will change: Vertex G becomes the optimal point (150,150) ( $183 750)

More suggested problems for optimization using polygons

pages 27 #4, 32 all, 33 all

answers

page 27

page 32

page 33

Suggested problems for Graph Theory from workbook p. 37 all and pp 72-74 answers below

(the rest of the chapter was completed in class and should have been finished)