Assessment Task

Summary

The assessment task listed on this page is largely an assessment of learning but, if performance on this assessment highlights remaining challenges students have with this material, the teacher should address these challenges [AFL], either individually or as a whole class.

This assessment should be performed shortly after the last lesson in this topic. Students should work individually on this task and the teacher can decide whether to dedicate class time to it or have the students do the task as homework.

Seasonal Resources of the Dharawal Peoples

The Dharawal Peoples who live betweem Botany Bay and Shoalhaven have traditionally relied upon seasonal recources as indicated in the map below. The resources marked in orange would be harvested during the Dharawal seasons of Burran and Marrai'gang, corresponding to last Summer and Autumn. The resources marked in blue would be harvested during the Dharawal seasons of Burrugin and Wiritjiribin, corresponding to Winter.

Answer the 7 questions below based on the information provided about the seasonal resources of the Dharawal Peoples and the network diagram listed above.

Question 1

A) How many vertices are there is in this network?

B) How many edges are there is in this network?

C) What is the highest weight on an edge in the network?

Question 2

A) List the degrees that occur in this network?

B) Give the name of an example vertex for each of these degrees.

Question 3

A) Describe why this network is or is not a tree.

B) Is it possible to determine the number of trees that could connect all the vertices in the network and, if so, how?

Question 4

A) List the ways of determining a minimum spanning tree for this network.

B) Describe how these methods differ and what benefits one might have over another.

Question 5

A) Using any approach, determine a minimum spanning tree for this network and draw it.

B) Is there only one minimum spanning tree for this network and how do you know?

Question 6

A) Determine a shortest path between Cabbage Trees and Black Apple and draw it.

B) Describe how you determined this is a shortest path?

C) Is this the only shortest path between these two points or are there multiple shortest paths?

Question 7

A) Draw the shortest path between Kangaroos and Wonga Pigeons.

B) Following this shortest path, what is the distance between Kangaroos and Wonga Pigeons?

C) Considering the season in which kangaroos and wonga pigeons would be hunted, defend why this shortest path may or may not be the best path.

Rubric (36 possible points)

Grading rubric for this assessment task.

Question 1, Part A

1 point

Correct number of vertices (10)

Question 1, Part B

1 point

Correct number of edges (13)

Question 1, Part C

1 point

Correct maximum weight (14)

Question 2, Part A

1 point

Some but not all degrees listed

2 points

All degrees listed (1, 2, 3, 4)

Question 2, Part B

1 point

Some example vertices provided but not all

2 points

Correct example vertices provided for all degrees

Question 3, Part A

1 point

Correctly indicates that the network is not a tree but does not provide significant explanation

2 point

Correctly indicates that the network is not a tree and provides reasonable but incomplete or incorrect explanation

3 point

Correctly indicates that the network is not a tree and provides complete and correct explanation

Question 3, Part B

1 point

Correctly indicates that number of trees can be determined but does not provide significant explanation

2 points

Correctly indicates that number of trees can be determined and provides significant explanation but without details

3 points

Correctly indicates that number of trees can be determined and provides significant explanation with some details (Cayley's formula)

Question 4, Part A

1 point

Lists one method of determining minimum spanning tree

2 point

Lists two methods of determining minimum spanning tree

3 point

Lists all three methods of determining miniumu spanning tree that have been covered

Question 4, Part B

1 point

Provides at least one characteristic or benefit of one of the methods

2 points

Provides several characteristics or benefits of the different methods but does not discuss each method or leaves out some characteristics/benefits

3 points

Provides characteristics and benefits of each method with comprehensive discussion about reliability, certainty, ease of implementing, etc.

Question 5, Part A

1 point

Drawing contains some portion of a minimum spanning tree

2 point

Drawing shows most of a minimum spanning tree but not entire tree

3 point

Drawing shows an entire minimum spanning tree

Question 5, Part B

1 point

Indicates that there are multiple minimum spanning trees but with no significant explanation

2 points

Indicates that there are multiple minimum spanning trees with a significant but incomplete or inaccurate explanation

3 points

Indicates that there are multiple minimum spanning trees with a complete and accurate explanation

Question 6, Part A

1 point

Drawing contains some portion of the shortest path

2 point

Drawing shows most of the shortest path but with some errors

3 point

Drawing shows entire shortest path

Question 6, Part B

1 point

Significant attempt to describe approach but either unclear or incorrect

2 points

Thorough and accurate description of approach to determining shortest path

Question 6, Part C

1 point

Indicates that this is the only shortest path

Question 7, Part A

1 point

Drawing shows the shortest path

Question 7, Part B

1 point

Correctly provides the total distance but leaves off units

2 point

Provides both the correct distance and units (14 km)

Question 7, Part C

1 point

Significant explanation is provided but not thorough or accurate e.g., does not take into consideration the seasonal gathering of resources

2 point

Comprehensive explanation provided that takes into consideration the seasonal gathering of resources

Resources

The inspiration for Seasonal Resources of the Dharawal Peoples came from Part B of the Networks and Paths assessment task of Wyndham College for 2019... http://web1.wyndhamcol-h.schools.nsw.edu.au/pluginfile.php/17170/mod_resource/content/1/Standard%201%20Assessment%20Task.pdf

Information about the traditional calendar of the Dharawal Peoples from the Bureau of Meteorology... http://www.bom.gov.au/iwk/calendars/dharawal.shtml

Further information about resources used by the Dharawal Peoples... https://www.yumpu.com/en/document/view/10866185/murni-dhungang-jirrar-living-in-the-illawarra

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