Overview

In this performance assessment, students will demonstrate their deepened understanding of using multiplication and division to create scaled bar graphs. Specifically, students will be asked to use classroom data to create a scaled bar graph.

This assessment requires some work to be done ahead of time. Students in the classroom should be surveyed using 2 different preference questions with 4-5 answer options.

 Students or the teacher can come up with the survey questions and options. In addition, a larger group of people should be surveyed to collect data for 2-3 more preference questions with limited answer options. Individual students will use the data to create 4-5 scaled bar graphs that represent the data. This performance assessment is likely best completed using paper and pencil but could also be done using an electronic document program like Google Docs or Microsoft Word. Final student work should be saved as an Acrobat PDF for uploading to the virtual scoring software.

Prior to this assessment, students should have demonstrated an understanding of the necessary parts of a bar graph (title, categories, bars, x-axis label, y-axis label, and scale-especially a scale greater than 1) and how to make their own graphs. They should also have some experience with how a scaled bar graph represents quantities not explicitly on the scale (e.g. if the bar graph has a scale of 2 and 3 people need to be represented, 1 ½ boxes need to be shaded in). Students should also have experience with basic multiplication and division facts to support them in choosing an appropriate scale. Students can use a multiplication chart if that is an accommodation they usually receive.

Students will work in groups to come up with a preference question and 3-5 choices. The class will then be polled and the data will be collected. Individual students will use the class data to create 4-5 scaled bar graphs to represent the data.  This performance assessment is likely best completed using paper and pencil but could also be done using an electronic document program like Google Docs or Microsoft Word. Final student work should be saved as an Acrobat PDF for uploading to the virtual scoring software.”

Prior to this assessment, students should have demonstrated an understanding of the necessary parts of a bar graph (title, categories, bars, x-axis label, y-axis label, and scale) and now to make their own graphs. They should also have some experience with how a scaled bar graph represents quantities not explicitly on the scale (e.g. if the bar graph has a scale of 2 and 3 people need to be represented, 1 ½ boxes need to be shaded in). Students should also have experience with basic multiplication and division facts to support them in choosing an appropriate scale.

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.

Solve Word Problems with Whole Numbers 2

Students can use drawings and equations to model and solve word problems in situations involving equal groups, arrays, measurement, quantities, and scaled bar graphs requiring multiplication or division within 100.

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

Modeling and Using Tools

  • I can create bar graphs that represent the data, but it is inaccurate or incomplete.  
  • I used a scale of 1 on more than 1 graph, I used a scale of 2 on more than 2 graphs, or my scales are inappropriate. 
No exemplars at this time.
  • I  can create bar graphs that represent the data and all but 1 are accurate.
  • The scales I used were acceptable, but not the most appropriate based on the data (e.g. if all data was a multiple of 3, a scale of 3 would be a better choice than 3 or 4).
No exemplars at this time.
  • I can create accurate bar graphs that represent data.
  •  The scales I used were the most appropriate based on the data. 
No exemplars at this time.

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