Recursion and repeated patterns are the focus of this Grade 10 Computer Science worksheet on algorithms and computational thinking. Students identify base cases and recursive steps, trace sequences of function calls, and reason about when recursion is an appropriate strategy for problems with repeated structures. :contentReference[oaicite:0]{index=0}

Make recursive thinking visible

The worksheet introduces recursion as a problem-solving method in which a procedure calls itself using a smaller version of the same problem. Students distinguish the base case, which stops further calls, from the recursive step, which reduces the problem and continues the process.

Students also explore why the input must move toward the base case. By tracing calls, they follow changing inputs, identify when termination occurs, and observe the order in which results return. This helps learners reason about what can happen when a recursive process fails to reduce its input correctly.

Connect recursion to repeated structures

Examples link recursive thinking to trees, fractal-style patterns, and divide-and-conquer problems. Students consider how the same action can repeat at smaller scales and how larger problems can be split into smaller subproblems that are solved recursively before their results are combined.

Practice includes a dialogue, definition matching, a cloze passage, diagram labeling, a reading passage, multiple-choice questions, true-or-false questions, short-answer responses, and an extended response. Students identify recursive components, predict behavior across calls, interpret call-stack behavior, explain termination, and decide whether recursion fits a particular repeated pattern.

Apply the idea, not just the vocabulary

The extended response asks students to consider using recursion to generate a repeating drawing pattern. They explain what should be checked first, how they would trace the calls, and how they would confirm that the process terminates while producing the expected structure. This gives students a practical way to connect recursive design with verification.

Included with the lesson

• Grade 10 Computer Science worksheet focused on recursion, base cases, recursive steps, tracing, and repeated structures
• Separate Teacher Guide PDF with learning objectives, teaching tips, discussion questions, and common mistakes

Use this recursion worksheet when introducing recursive algorithms, reinforcing computational thinking, or reviewing how self-calling procedures progress toward a stopping condition. It can support direct instruction, guided practice, independent work, or discussion before students begin implementing recursive code.