5E Lesson Plan for Recursion
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📅 3/16/2026
Engage: Russian Doll Analogy
Show Russian dolls to capture attention and spark curiosity.
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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.
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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.
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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.
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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.
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