Paths and Ponds

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In this activity, learners use squares to figure out how many border tiles are needed to enclose different areas. Learners start by making square ponds and creating a table to help them figure out a pattern. Then they move on to rectangular ponds. The goal is to connect patterns and functions through the investigation of area and perimeter. This activity could be connected to lesson plans about pond science.

Quick Guide

Preparation Time:
5 to 10 minutes

Learning Time:
10 to 30 minutes

Estimated Materials Cost:
1 cent - $1 per student

Age Range:
Ages 6 - 14

Resource Type:


Materials List (per student)

  • 50-60 cubes or construction paper squares of two colors
  • crayons
  • paper
  • pencils
  • grid paper, 1" or 2cm (missing from PDF)


  • Mathematics
    • Algebra
      • Patterns
    • Number and Operations
      • Operations

Informal Categories

  • Gardening


To use this activity, learners need to:

  • see
  • see color
  • touch

Learning styles supported:

  • Uses STEM to solve real-world problems
  • Involves hands-on or lab activities


This resource is part of:

Access Rights:

  • Free access


Source Collection

  • Science After School Consumer's Guide