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Engineering · Year 12

Active learning ideas

Resource Management and Sustainability

Advanced Algorithms and Data Structures are the engines of efficient software. In Year 12, students move beyond basic loops to explore sorting (Quicksort, Mergesort) and searching (Binary Search) algorithms. They learn to evaluate these using Big O notation, a mathematical way of describing how an algorithm's performance changes as the data set grows. This aligns with the ACARA requirement to design and implement complex algorithms.

ACARA Content DescriptionsACENG12-13ACENG12-14
25–40 minPairs → Whole Class3 activities

Activity 01

Simulation Game30 min · Whole Class

Simulation Game: Human Sorting Race

Students are given cards with random numbers. Different groups are assigned a specific algorithm (Bubble Sort vs. Quicksort). They must physically sort themselves while a 'timer' tracks the number of comparisons made, demonstrating efficiency differences.

How has the engineering sector historically managed finite resources?
ApplyAnalyzeEvaluateCreateSocial AwarenessDecision-Making
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Activity 02

Inquiry Circle40 min · Small Groups

Inquiry Circle: Data Structure Match-Up

Provide groups with different scenarios (e.g., an 'undo' button, a printer queue, a dictionary). Students must select the best data structure for each and justify their choice based on speed and memory usage.

What are the economic benefits of a circular economy?
AnalyzeEvaluateCreateSelf-ManagementSelf-Awareness
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Activity 03

Think-Pair-Share25 min · Pairs

Think-Pair-Share: Big O Analysis

Students are given three different code snippets that solve the same problem. They must determine the Big O complexity of each individually, then pair up to debate which one would perform best with a million data points.

How do engineers design for end-of-life material recovery?
UnderstandApplyAnalyzeSelf-AwarenessRelationship Skills
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A few notes on teaching this unit


Watch Out for These Misconceptions

  • The fastest algorithm on a small list is always the best choice.

    Some algorithms have high 'overhead' but perform better as data scales. Using a graphing activity to plot 'Time vs. Data Size' for different algorithms helps students visualise why Big O notation matters for large-scale systems.

  • Arrays and Linked Lists are basically the same thing.

    They handle memory and insertion differently. A physical simulation where students act as 'memory addresses' helps them see why inserting an item into the middle of an array is much 'costlier' than doing so in a linked list.


Methods used in this brief