Overview

In this performance assessment, students will identify acute, obtuse, and right angles; create right angles by adding or subtracting degrees to a given angle; hypothesize the importance of having right angles in a building; create a building with right angles from a building without right angles; and, create a building that is square, level, and plumb, given a building that isn’t yet any of these. These terms are defined as follows: level – horizontal; square – with right angles; and plumb – vertical at 90 degrees to the horizontal. 

Specifically, students will be asked to measure and classify the interior angles of a house that doesn’t have right angles for its base; determine how many degrees need to be added or subtracted from the interior angles to make them right angles; and explain whether or not it's vital to build buildings with right angles and explain why.

Buildings that are level, square, and plumb tend to be easier to construct and are sturdier than those that are not level, square, and/or plumb. Buildings that don’t have right angles add challenges that have to be overcome through extra engineering (e.g., cantilevers, support beams, and the like).

Students should be able to identify and measure acute, obtuse, and right angles within three degrees of accuracy; calculate how many degrees to add/subtract to an angle in order to create a right angle; and justify whether it's important for buildings to be built mostly with right angles.

Details

Big Ideas & Competencies

Big Ideas Competencies

C. Measurement and Data Analysis

Students can collect and organize data to interpret, model, and investigate issues connected to their communities, lived experiences, and cultural identities.

Solving Measurement Problems 2

Students can measure angles in whole-number degrees using a protractor and sketch angles of specified measure.

Solving Measurement Problems 3

Students can solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems.

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

Angle Measurements and Labels 

  • Partially addresses the expectations of the prompt.
  • Uses an unclear or ineffective body structure and text features to organize and group details about the topic.
No exemplars at this time.
  • Angle measurements are less than 3 degrees off. One angle measurement may be missing. Angle names and definitions have minor errors, if any. 
No exemplars at this time.
  • Angle measurements are less than 1 degree off. All angle measurements are shown. Angle names and definitions are consistent. 
No exemplars at this time.

Ensuring Right Angles 

  • Little to no work is shown. It is unclear how what measurements are added or subtracted to create a perpendicular angle with the building and ground. 
No exemplars at this time.
  • Most work is shown. It is understood what angle measurements must be added and/or subtracted to create a perpendicular angle with the building and ground. 
No exemplars at this time.
  • All work is shown. It is clearly understood what angle measurements must be added and subtracted in order to create a perpendicular angle with the building and ground. 
No exemplars at this time.

Essay 

  • Response has little or no justification. 
No exemplars at this time.
  • Response is justified using one or two pieces of evidence from class. 
No exemplars at this time.
  • Response is justified using three or more pieces of evidence. 
No exemplars at this time.

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