Overview

In this performance assessment, students will use what they’ve learned about multiplying a fraction and a whole number to find products and justify their solutions (by showing their work), using different methods/strategies. 

Specifically, students will be asked to multiply fractions and a whole number and use models, equations, and or explanations to justify their solutions. 

Students will explain their thinking (i.e., show their work) in the Student Booklet. For students who need to use technology or use a scribe to get their justifications in print form, they may have access to these accommodations per regular classroom rules for technology and/or scribing protocols. For students who need to use physical manipulatives (e.g., fraction tiles, number lines that are pre-created, etc.), pictures can be taken, and explanations can be scribed. Other accommodations that are necessary for the student to demonstrate learning and that do not jeopardize the integrity of the task are also allowable.  

This assessment is best used after students have had practice multiplying fractions by a whole number, using multiple models and/or equations. 

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 Fractions 2

Students can represent and solve word problems involving multiplication of a fraction by a whole number by using models and equations to represent the problem.

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 have 1 or more incorrect calculations.
No exemplars at this time.
  • All of my calculations are correct.
No exemplars at this time.

Reasoning and Explaining

  • My explanation about which product is greater (question 3) is inaccurate or demonstrates an incomplete understanding of multiplying fractions by whole numbers.
No exemplars at this time.
  • My explanation about which product is greater (question 3) is accurate, but a novice would not likely be able to understand.
No exemplars at this time.
  • My explanation about which product is greater (question 3) is accurate and a novice would likely be able to understand.
No exemplars at this time.

Modeling and Using Tools

  • I only used 1 way of explaining/justifying (showing my work) the product of a fraction and a whole number. Or, I showed 2 ways but they weren’t clear or easy to follow.
No exemplars at this time.
  • I showed 2 unique ways of clearly explaining/ justifying (showing my work) the product of a fraction and whole number.
No exemplars at this time.
  • I showed 3 unique ways of explaining/justifying (showing my work) the product of a fraction and whole number (Two for question 1 and a different one for question 2)
No exemplars at this time.

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