Overview

In this performance assessment, students will demonstrate their understanding of linear equations in middle school situations. Specifically, students will be asked to calculate answers to questions when provided three different question sets. Each question set contains school-related linear scenarios. Students will describe the contextual meaning of slope, y-intercept, x-values, and y-values when given equations. Students will also use equations to solve for unknown values in context. There is a short reflection at the end of the assessment. 

Students can respond in their Student Booklets, or the questions can be adapted to an online question/answer platform if preferred.  

This assessment might best be used after a unit on linear equations involving bivariate data with a focus on meaning of slope and y-intercept in context.   

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 Linear Equations 2

Students can use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept.

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

Solving for Unknown Values in Context

  • Correctly solves less than 4 questions in context.
  • Correctly solves 4 questions in context. If a student incorrectly writes an equation in 3.I and correctly solves their equations to indicate the appropriate winner and completion time in 3.II and 3.III.
  • Correctly solves 5 questions in context, questions: 1.I, 1.II, 2.I, 2.II, 3.I - 3.II. 

Identifying the Meaning of Slope in Context

  • Correctly identifies slope in less than two questions and interprets the slope by using appropriate units/labels for both the x and y values for less than two questions.
No exemplars at this time.
  • Correctly identifies slope in two questions and interprets the slope by using appropriate units/labels for both the x and y values in at least two questions.
  • Correctly identifies slope in all three questions and interprets the slope by using appropriate units/labels for both the x and y values for all three questions (1.IV, 2.III, 3.II)

Identifying Y-Intercept in Context

  • Correctly identifies the y-intercept for less than two questions and correctly interprets the y-intercept in context citing the units/labels for the y-intercept and x-value in less than two question.
No exemplars at this time.
  • Correctly identifies the y-intercept in two questions and correctly interprets the y-intercept in context, citing the units/labels for the y-intercept and x-value for at least 2 questions.
  • Correctly identifies the y-intercept in all three questions and correctly interprets the y-intercept in context citing the units/labels for the y-intercept and x-value for all three questions (1III, 2IV, 3.III).

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