Classroom & Homeschool Resource: Try the Interactive Coding Warm-Up or download the Free 18-Page Printable PDF
Graph Theory & Routing · Ages 6–9 (Grades 1–3)

Shortest Path & Graph Routing Puzzles for Kids (Ages 6–9)

By Dr. D (Dhomas Hatta Fudholi) · Professor of Informatics & Author of Book 3: Zeno's Ocean Adventure

Why Teach This Computer Science Concept Screen-Free?

When a GPS app finds the fastest drive home or internet data packets travel across the globe, computers solve a Shortest Path Graph Problem. In Zeno's Ocean Adventure, kids explore underwater coral reef maps with weighted paths to calculate the fastest swim route!

Combining simple addition with network traversal teaches children optimization: finding not just *any* solution that works, but comparing multiple candidate routes to prove which one is the most efficient.

How to Solve the Worksheet in 3 Simple Steps

  1. 01
    Trace Possible Routes: Identify 2 or 3 different paths Zeno can swim from the starting node to the Home Reef.
  2. 02
    Add the Travel Minutes: Sum the numbers along the edges of each route (for example, Path 1 = 3 + 4 = 7 minutes; Path 2 = 2 + 2 = 4 minutes).
  3. 03
    Select the Optimal Path: Compare the totals to crown the fastest route with the lowest travel time!
Classroom & Homeschool Tip: Pair this printable worksheet with our Interactive Online Warm-Up Game on your classroom Smartboard, then hand out the 18-page PDF packet for focused pencil-and-paper practice.

Frequently Asked Questions

What math skills do Reef Routes puzzles practice?

They naturally combine single-digit mental addition, comparison (< and >), and systematic network exploration—making them a favorite for math enrichment centers.

Where can I download a sample Reef Routes worksheet?

Download our Free 18-Page Printable Starter Pack! Pages 16 and 17 feature the paired 'Learn It: Reef Routes' tutorial and puzzle.

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