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Find your Mathematics: (Re)creating the Mathematical Concept of Distance

Euclidean and taxicab distance side by side: a handout works both formulas on the same pair of points, then shows how to count equal-length taxicab routes using combinations.
Grades
Grades 5–8, Elementary, Middle School
File type
PDF
Preparation
Print ready

Updated Oct 13, 2026

Subject
Math, Geometry
Topic
recreating, mathematical
Resource types
Worksheets & Printables, Worksheets
Preparation
Print ready

About this resource

What's inside this resource

Re(creating the Mathematical Concept of Distance is a 1-page printable that will discuss different geometry concepts:

-(Euclidean) geometry

-Direct distance between two Cartesian points

-Formulas based on Pythagoras’ Theorem

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Compare Euclidean and taxicab distance between two points
  • Count equal-length taxicab routes using combinations

Skills covered

  • Applying distance formulas — following worked examples for both measures on the same points

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Resource details

Concepts & topics

Core concepts

  • Euclidean distance
  • Taxicab geometry
  • Coordinate plane
  • Combinations

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