Review of VCE Algorithmics (HESS) Summary of proposed changes to the study design General changes The review of VCE Algorithmics focused on: Improving the clarity of some key knowledge Increasing the coherence between areas of study Redressing some inequities in students’ workload between areas of study in a unit Redressing some inequities in the contribution of some areas of study to the study score, based on student workload. The review of VCE Algorithmics has resulted in the following key assessment changes: All outcomes in each unit will be assessed through a School-assessed Task (SAT) – there will be no School-assessed Coursework component. Each SAT will contribute 20 percent to the study score. The value of the examination remains at 60 percent. Modifications to the descriptions of the assessment tasks to reflect changes in the areas of study and to improve clarity. Note: there has been no change in the total workload for students; just some minor adjustments to some task details. The review of VCE Algorithmics has resulted in the following proposed key content changes: Introduction of some new key knowledge and key skills Increased specificity of some key knowledge to improve clarity Transfer of some outcome statement requirements between areas of study, and the corresponding content shifts Removal of some key knowledge and key skills to reduce inequities between areas of study. Specific changes Unit 3 Unit 3: Algorithmic problem solving i. Area of Study 1: Data modelling with abstract data types Re-ordering of key knowledge Restructuring of some key knowledge for coherence, such as grouping the characteristics and uses of ADTs and the graph ADT in two key knowledge points – specifications and uses of standard ADTs and specifications and uses of standard graph ADTs Addition of some specifications for standard graph ADTs © VCAA June 2016 Review of VCE Algorithmics (HESS) ii. The removal of the Key skill relating to modelling processes with state diagrams. Area of Study 2: Algorithm design iii. Unit testing has been removed as a key knowledge New key knowledge relating to conditional expressions using logical operations Removal of Key knowledge (informal measures of algorithm complexity) Some key skills rewritten to sharpen their focus Removal of Key skill linked to informal measures of complexity. Area of Study 3: Applied algorithms Testing has been removed from the outcome statement and from the key knowledge New key knowledge focusing on suitability of ADTs for different contexts and how ADTs can be combined to meet requirements New key knowledge focusing on specifications and documentation of data model and algorithm design New skill focusing on selecting and justifying ADTs and algorithm design patterns. Unit 4 Unit 4: Principles of algorithmics i. Area of Study 1: Formal algorithm analysis ii. Clause removed from the outcome statement ‘… and how they might be overcome by heuristic methods and non-digital models of computation.’ and corresponding key knowledge (aspects moved to Area of Study 2) Increased key knowledge and specificity on Big-O notation Increased specificity in key knowledge for P and NP-complete complexity and the Master Theorem. Area of Study 2: Advanced algorithm design iii. New clause added to outcome statement (aspects from Outcome 1) and the corresponding key knowledge Minor modifications to some key knowledge Inclusion of 1-D knapsack problems. Area of Study 3: Universality of computation and algorithms Refining of some key knowledge to improve scope Reordering of key knowledge to support cohesion Inclusion of new key knowledge on Cobham’s thesis for computational complexity theory Inclusion of new key knowledge on Turing machines Removal of existing, and inclusion of new key skills to better reflect the outcome statement. © VCAA June 2016 Page 2 Review of VCE Algorithmics (HESS) Assessment Outcome statements in some areas of study across Units 3 to 4 have been altered to reflect the focus of the unit. Unit 3 Outcome Statements Current Study Outcome Statements Consultation Draft Outcome Statements Outcome 1 Outcome 1 Devise formal representations for modelling various kinds of information problems, using appropriate abstract data types, and apply these to a real-world problem School-assessed Task A folio of small tasks, including: two to four tasks using a range of abstract data types to model salient aspects of problems two to four small tasks using a range of algorithm design patterns to specify algorithms to solve problems. Unchanged AND A written explanations of each of the specification and application of ADTs the specification and application of algorithms for graphs. (each of approximately 45-60 minutes) Outcome 2 Design an efficient algorithm to solve an information problem using basic algorithm design patterns, and implement and test the algorithm Outcome 2 Design an efficient algorithm to solve an information problem using basic algorithm design patterns, and implement the algorithm AND An extended project consisting of three connected components consisting of: The data model of a real-world problem includes: specification of the data model a concrete instance of the data model (worked example), and documentation of the data model development approach. (approximately 300–500 words). Outcome 3 Outcome 3 Evaluate and document algorithms and data representations, and solve real-world problems whose solution requires the integration of multiple Unchanged An algorithm to solve a real-world problem that builds on an existing data model (solution to Outcome 1 or provided model), includes: pseudocode to solve the problem implementation of the algorithms in a high-level programming language making appropriate use of the standard ADTs, and documentation of the algorithm development approach. (approximately 300–500 words) An evaluation of an existing data model and algorithm in the form of a written report. (approximately 300–500 words) algorithms and data types. *School-assessed Task for Unit 3 contributes 20 per cent. © VCAA June 2016 Page 3 Review of VCE Algorithmics (HESS) Unit 4 Outcome Statements Current Study Outcome Statements Consultation Draft Outcome Statements Outcome 1 Outcome 1 Establish the correctness and efficiency of simple algorithms, and explain soft limits of computability Establish the efficiency of simple algorithms, and explain soft limits of computability and how they might be overcome by heuristic methods and non-digital models of computation Assessment tasks A written explanation of formal analysis techniques and the practical limits of computability advanced algorithm design. (approximately 45–60 minutes) AND Outcome 2 Outcome 2 Solve a variety of information problems using advanced algorithm design patterns Solve a variety of information problems using advanced algorithm design patterns and explain how they might be overcome by heuristic methods The design of an algorithm, consisting of two components: Formal analysis of a given naïve algorithm (approximately 500 words) A response to a naïve algorithm consisting of: an improved sophisticated algorithm design an analysis of the improved design. (approximately 500 words) AND Outcome 3 Explain the scope of algorithmics as an approach to computational problem solving, and demonstrate the universality of computation and its limits using core concepts from theoretical computer science Outcome 3 An explanation of the universality of computation and algorithms in one or more of the following forms: A written report (approximately 700– 800 words) A visual report An oral report. Unchanged *School-assessed Task for Unit 4 contributes 20 per cent. © VCAA June 2016 Page 4
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