Overview

In this performance assessment, students will use the context of paths walked in a park to apply their knowledge and skills related to geometric thinking to solve problems. Specifically, students will utilize the Pythagorean Theorem to determine the distances walked in a park using coordinate points.

Students will use their understanding of each of these competencies to solve these problems and explain their methodology/process for finding their solutions. This assessment can be used any time during the school year, but ideally it should be used after instruction on the following competencies in grade 8: 

  • Students can apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

This assessment can also be used as a review in 9th grade math classes.
Students can create the final solutions in any appropriate way, but most likely in Microsoft Word or Google Docs, paper and colored pens/pencils/ markers. Final student work should be saved as an Acrobat PDF for uploading to the virtual scoring software.

Details

Big Ideas & Competencies

Big Ideas Competencies

D. Geometric Reasoning

Students can analyze, evaluate and generate explanations about their world by exploring the properties and relationships of points, lines, shapes, space, and the positions of figures.

Distance Between Two Points 2

Students can apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

NOTE ABOUT ASSESSMENT RUBRICS

Below are analytic teacher rubrics. The column on the left shows the dimension that is being measured in the student’s performance. The levels across the top row indicate the performance level in the dimensions. Occasionally all dimensions and performance levels are exemplified by multiple students in a single recording.

Teacher Rubric

Dimensions Not Yet Meeting Expectations Meeting Expectations Exceeding Expectations

Concepts and Procedures

  • I can solve some of the problems, but I am confused in some places and have calculation mistakes.
No exemplars at this time.
  • I can solve the problems using strategies that make sense with only minor  calculation mistakes.
No exemplars at this time.
  • I can solve the problems efficiently and accurately without any calculation mistakes.
No exemplars at this time.

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