Year 12 Further Mathematics
Name:_____________________
Module 5: Networks & Decision Mathematics
#
Lesson Aim
Classroom
Investigations
10 Quick
Questions
Consolidation Tasks
1
-
What are the basic concepts of a
network?
2
-
What are planar graphs? What
is Euler’s rule?
3
-
4
-
5
-
What are paths and circuits?
What are the different paths &
circuits?
What is a spanning tree and
how do we find the shortest
distance?
How can I consolidate my
knowledge?
6
-
How can I determine reachability
& dominance in a network?
7
-
eLesson
8
-
9
-
What is a critical path and how
do I complete a critical path
analysis?
What is backward scanning and
crashing and how do I apply it to
a critical path analysis?
How do I calculate the flow of a
network?
Interactivity:
Maximum Flow
Ex 15D q. 1, 2, 4,7-10, 14
10
-
eLesson
Ex 15E q. 1-4, 6-8, 12,14,16
11
-
JacPlus:
Test Yourself
Chapter 15 Review
12
-
What is a bipartite graph & how
can I use it to solve allocation
problems?
How can I consolidate my
knowledge?
Practice SAC
2010 Maths Quest
UNDIRECTED GRAPHS & NETWORKS
Ex 14A q.1-5,7,8,11,12,13a,b, 14a,b
Ex 14B q.1-7, 11, 12, 15
Enrichment Tasks
- Checkpoints (2009
ed) q. 227, 228, 230,
231, 233, 236, 238, 239,
242, 243, 245, 246, 247,
251, 252, 253, 351, 353,
359
eLesson
1, 2, 3, 4
Ex 14C q.1-6, 8-12, 14-16,19, 20, 22
Interactivity:
Spanning Trees
Ex 14D q.21
Concept Map
Ex 14D q. 1,2,4,5,6,9-15, 16a,c,19b
-Studyon / Jacplus
Chapter 14 Review
http://www.vcaa.vic.edu.
au/vce/studies/mathemat
ics/further/exams.html
DIRECTED GRAPHS & NETWORKS
Ex 15A q. 1,2,4,6,7,8
Ex 15B q. 1-6, 9, 11, 12
Ex 15C q. 1-8, 12, 14, 15, 17, 21
Chapter 14 &15 Test
-Checkpoints questions
Year 12 Further Mathematics
Name:_____________________
Module 5: Networks & Decision Mathematics
#
Lesson Aim
Classroom
Investigations
10 Quick
Questions
Consolidation Tasks
1
-
What are the basic concepts of a
network?
2
-
What are planar graphs? What
is Euler’s rule?
3
-
4
-
5
-
What are paths and circuits?
What are the different paths &
circuits?
What is a spanning tree and
how do we find the shortest
distance?
How can I consolidate my
knowledge?
6
-
How can I determine reachability
& dominance in a network?
DIRECTED GRAPHS & NETWORKS
Ex 15A q. 1,2,4,6,7,8
7
-
What is a critical path and how
do I complete a critical path
analysis?
What is backward scanning and
crashing and how do I apply it to
a critical path analysis?
How do I calculate the flow of a
network?
Ex 15B q. 1-6, 9, 11, 12
8
-
9
-
10
-
11
-
What is a bipartite graph & how
can I use it to solve allocation
problems?
How can I consolidate my
knowledge?
12
2010 Maths Quest
UNDIRECTED GRAPHS & NETWORKS
Ex 14A q.1-5,7,8,11,12,13a,b, 14a,b
Ex 14B q.1-7, 11, 12, 15
Enrichment Tasks
- Checkpoints (2009
ed) q. 227, 228, 230,
231, 233, 236, 238, 239,
242, 243, 245, 246, 247,
251, 252, 253, 351, 353,
359
eLesson
1, 2, 3, 4
Ex 14C q.1-6, 8-12, 14-16,19, 20, 22
Interactivity:
Spanning Trees
Ex 14D q.21
Concept Map
Ex 14D q. 1,2,4,5,6,9-15, 16a,c,19b
-Studyon / Jacplus
Chapter 14 Review
http://www.vcaa.vic.edu.
au/vce/studies/mathemat
ics/further/exams.html
eLesson
Ex 15C q. 1-8, 12, 14, 15, 17, 21
Interactivity:
Maximum Flow
Ex 15D q. 1, 2, 4,7-10, 14
eLesson
Ex 15E q. 1-4, 6-8, 12,14,16
JacPlus:
Test Yourself
Chapter 15 Review
Chapter 14 &15 Test
-Checkpoints questions
2010 Maths Quest