Algorithm Investigations | Patterning & Algebra | Maths Problem Solving Tasks

Support deep mathematical thinking and reasoning with these Algorithm Investigation Case Files.

Designed for upper primary maths, this resource engages students in real-world problem-solving scenarios where they must test, analyse, and improve algorithms using patterning and algebraic thinking.

What’s Included

This resource includes a comprehensive set of investigation tasks presented as case files, featuring:

Investigation Scenarios:

• The Rollercoaster Capacity Error
• Cinema Seating Upgrade
• The Tile Pattern Confusion
• Two Algorithms, One Pattern
• The Broken Table Algorithm

Each investigation includes:

• a real-world scenario to engage students
• clear evidence (tables, patterns, or data)
• structured investigation tasks
• opportunities to test, analyse, and justify thinking
• a verdict section to evaluate algorithm reliability

Also included:

• answer pages to support marking and discussion

This resource supports students to:

• identify and apply pattern rules
• analyse and test algorithms for accuracy
• identify errors and justify reasoning
• rewrite algorithms for clarity and reliability
• compare multiple solution methods
• develop higher-order thinking and problem-solving skills

Perfect for maths investigations, rich tasks, small group work, assessment, or extension activities.

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