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Sorting Algorithms · Sorting

Insertion Sort

Insertion sort builds a sorted prefix by inserting each new value into its correct place.

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Student Focus

This sort is a good place to teach invariants and practical tradeoffs.

Guided Lesson Notes

How Code Scholars teaches Insertion Sort

This guide helps students understand the idea, implement it carefully, explain the runtime, and recognize when the pattern belongs in a larger problem.

In a session, students usually start with a small trace, then write or review code, then test edge cases. The final step is a short explanation: what the structure or algorithm stores, why it is correct, and what changes when the input grows.

Key Ideas

  • Sorted prefix invariant
  • Shifting values
  • Nearly sorted performance

Practice Prompts

  • Trace insertion sort on a nearly sorted list.
  • Explain why it can be efficient for small or mostly sorted data.

Tutoring Connection

Turn the topic into usable problem-solving skill

Students can use this page before a lesson, after a difficult homework assignment, or while preparing for AP Computer Science A extensions, Advanced Topics in CS, USACO growth, or a college data structures course.

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