In this performance assessment, students will graph a proportional relationship when given a simple whole number slope, an equation, and one ordered pair. Students will graph proportional relationships, describe slope as the unit rate, and compare two different graphs. Students will give details when comparing two different proportional relationships in terms of best prices.
First, students will be asked to graph a proportional relationship when given a simple whole number slope in context. Second, students will graph a line representing a proportional relationship when given an equation and context. Third, students will be provided two scenarios and they will decide which one has the better deal. Students will graph each scenario on the same coordinate plane and answer questions about each scenario’s unit rate along with how the unit rate compares with the slope.
This assessment might best be used after a unit on graphing linear equations or lesson on proportional relations. Student should have had instruction on proportional relationships before this assessment is used.
In this performance assessment, students will graph a proportional relationship when given a simple whole number slope, an equation, and one ordered pair. Students will graph proportional relationships, describe slope as the unit rate, and compare two different graphs. Students will give details when comparing two different proportional relationships in terms of best prices.
First, students will be asked to graph a proportional relationship when given a simple whole number slope in context. Second, students will graph a line representing a proportional relationship when given an equation and context. Third, students will be provided two scenarios and they will decide which one has the better deal. Students will graph each scenario on the same coordinate plane and answer questions about each scenario’s unit rate along with how the unit rate compares with the slope.
This assessment might best be used after a unit on graphing linear equations or lesson on proportional relations. Student should have had instruction on proportional relationships before this assessment is used.
| Big Ideas | Competencies |
|---|---|
B. Operations and Algebraic ThinkingStudents can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions. |
Ratios and Proportional Relationships 1Students can graph and compare proportional relationships, interpreting the unit rate as the slope of the graph. |
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.
| Dimensions | Not Yet Meeting Expectations | Meeting Expectations | Exceeding Expectations |
|---|---|---|---|
Graph a Proportional Relationship |
No exemplars at this time.
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No exemplars at this time.
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No exemplars at this time.
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Identify the Relationship Between the Slope and Unit Rate |
No exemplars at this time.
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No exemplars at this time.
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No exemplars at this time.
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Compare Proportional Relationships |
No exemplars at this time.
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No exemplars at this time.
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No exemplars at this time.
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