Overview

In this performance assessment, students will demonstrate that they can add and subtract mixed numbers in a real-world situation. Specifically, students will be asked to create recipes for trail mix, given specific ingredients, amounts of those ingredients, and other requirements for each recipe. They will also be asked to justify their reasoning in how they formulated their recipes.  

Students will submit their final work in their Student Booklet or may also choose to create a recipe card or other document showing their work. 

This assessment might best be used after completing a unit on fractions. Students should have had instruction on equivalent fractions, as well as adding and subtracting fractions, and mixed numbers. 

Details

Big Ideas & Competencies

Big Ideas Competencies

A. Understanding and Applying Number Systems

Students understand that numbers hold value and can choose the appropriate representations and algorithms to reason quantitatively, abstractly, and efficiently.

Strategies for Adding and Subtracting 1

Students can add and subtract mixed numbers with like denominators, using strategies such as equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.

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 1

Students can represent and solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted.

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

  • Student inaccurately calculates and uses ingredient amounts and proportions, resulting in a flawed recipe.
  • Student's formulation of their recipes is unclear or absent, demonstrating a lack of understanding of the concepts involved.
  • Student accurately calculates and uses the given ingredient amounts and proportions, resulting in a correct recipe.
  • Student work provides clear and logical reasoning for the formulation of their recipes, demonstrating a deep understanding of the concepts involved. 

Reasoning and Explaining

  • Student explained some of how he or she solved the problem.
No exemplars at this time.
  • Student explained some of their thinking he or she used to solve the problem using some math vocabulary.

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