Overview

In this performance assessment, students will use the context of creating rectangular tourism signs to apply their knowledge and skills related to operations and algebraic thinking to solve problems. Specifically, students will be asked to use different scale factors to determine the dimensions of new signs, based on an original.

Students will use their understanding of each of these competencies to solve these problems and explain their methodology/process for finding their solutions. Additional guidelines: This assessment should be used after instruction on the following competencies in grade 6 and 7: 

  • Students can solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale using technology. 
  • Students can fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.

This assessment can also be used as a review in Grade 8. 

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Details

Big Ideas & Competencies

Big Ideas Competencies

B. Operations and Algebraic Thinking

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Ratios and Proportional Relationships 4

Students can solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale using technology.

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 few calculation mistakes.
No exemplars at this time.
  • I can solve the problems efficiently and accurately without any calculation mistakes.
No exemplars at this time.

Reasoning and Explaining
  • I can show some of the strategies and steps I used and explain how I solved the problem.
No exemplars at this time.
  • I can show all of the strategies and steps I used. I can and explain the thinking I used to solve the problems using some math vocabulary. 
No exemplars at this time.
  • I can show all of the strategies and steps I used. I can explain the thinking I used to solve the problems using precise math vocabulary in a way that another person can easily understand my math reasoning. 
No exemplars at this time.

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