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8.G.7 The task challenges a student to demonstrate understanding of the concepts of  irrational numbers, the Pythagorean Theorem and use it to calculate  perimeter/circumference.  A student must understand how to calculate the perimeter/circumference of different figures including rectangles, triangles and circles.   A student must be able to make use of common irrational numbers such as the square  root of 2 and pi.  A student must approximate irrational numbers with a rational number  to determine an approximate perimeter of a geometric shape.  A student must apply  the Pythagorean Theorem to calculate the side of a triangle. Copyright © 2007 by Mathematics Assessment Resource Service. All rights reserved.


  • Mathematics > General

Education Levels:

  • Grade 6
  • Grade 7
  • Grade 8


Pythagorean Theorem Geometry perimeter square root



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Creative Commons Attribution Non-Commercial


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Curriki Rating
On a scale of 0 to 3
On a scale of 0 to 3

This resource was reviewed using the Curriki Review rubric and received an overall Curriki Review System rating of 3, as of 2014-01-28.

Component Ratings:

Technical Completeness: 3
Content Accuracy: 3
Appropriate Pedagogy: 0

Reviewer Comments:

The Matchstick problem has students calculate the number of matchsticks that can be made from a tree, given the size of the matchstick and tree. The activity provides an answer key along with a grading rubric. In addition, sample solutions, both graded and ungraded, are included. This is an activity that can be used to assess student understanding of real-world math problems involving volumes of cylinders, cones and spheres. It is a great resource and can easily be used in a classroom setting.

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