5E Lesson Plan for Recursion

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Engage: Russian Doll Analogy

Show Russian dolls to capture attention and spark curiosity.

Engage: Russian Doll Analogy
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Explore: Observing Patterns

  • Display sequence: large doll → smaller doll → smallest doll.
  • Highlight the repeating action and stopping condition.
  • Guide students to notice these two essential recursion components.
  • Connect the pattern to recursive functions in programming.
Explore: Observing Patterns
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Explain: Defining Recursion

  • Define recursion: function calls itself until a base condition is met.
  • Use factorial example: 5! = 5 × 4!, reducing until reaching 1.
  • Show Java code snippet with base condition and recursive call.
  • Relate base condition to the smallest Russian doll.
Explain: Defining Recursion
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Elaborate: Real-World Applications

  • Show recursion in directory structures: folders within folders.
  • Mention uses in tree structures and searching algorithms.
  • Explain backtracking problems as recursive solutions.
  • Analogize folder traversal to opening nested Russian dolls.
Elaborate: Real-World Applications
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Evaluate: Check Understanding

  • Ask students to identify the two key recursion components.
  • Question: What represents the base condition in the Russian doll example?
  • Quick challenge: Calculate factorial(3) to test comprehension.
  • Summarize recursion as a repeating process with a stopping point.
Evaluate: Check Understanding
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