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iRubric: My 1st Vehicle Project - Grade 8 Mathematics rubric

iRubric: My 1st Vehicle Project - Grade 8 Mathematics rubric

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My 1st Vehicle Project - Grade 8 Mathematics 
Performance Level Descriptors adapted from PARCC rubric at http://www.parcconline.org/assessments/test-design/mathematics/math-performance-level-descriptors. Standards include 8.EE.B.5, 8.EE.B.6, 8.F.A.1, 8.F.A.2, 8.F.A.3, 8.F.B.4, 8.F.B.5
Rubric Code: LX359AW
By kevjohns
Draft
Public Rubric
Subject: Math  
Type: Project  
Grade Levels: 6-8

Powered by iRubric My 1st Vehicle Project
% This rubric will be used to assess student understanding of 7 standards regarding Proportional Relationships, Equations, and Functions
  Level 5:Distinguished Command

4 pts

Level 4: Strong Command

3 pts

Level 3: Moderate Command

2 pts

Level 2: Partial Command

1 pts

Proportional Relationships
4 pts

and Linear Equations
8.EE.B.5
Level 5:Distinguished Command

Graph proportional relationships in the form y = mx + b.

Interprets the unit rate as the slope of the graph and applies these concepts to real world problems.

Compare two different proportional relationships represented in different ways.

Interprets y = mx + b defining linear functions.

Uses multiple methods to show that the slope is the same between any two distinct points in the coordinate plane.
Level 4: Strong Command

Graph proportional relationships in the form y = mx + b

Interprets the unit rate as the slope of the graph and applies these concepts to real world problems.

Compare two different proportional relationships represented in different ways.

Interprets y = mx + b defining linear functions.

Uses at least two methods to show that the slope is the same between any two distinct points in the coordinate plane.
Level 3: Moderate Command

Graphs linear relationships in the form y= mx + b, including proportional relationships.

Interprets the unit rate as the slope of the graph of a proportional relationship and applies these concepts to solve real world problems.

Compares two different proportional relationships represented in different ways.

Uses only one method to show that the slope is the same between any two distinct points in the coordinate plane.
Level 2: Partial Command

Graphs linear relationships in the form y= mx + b, including proportional relationships.

Interprets the unit rate as the slope of the graph of a proportional relationship.

Makes some comparisons between two different proportional relationships represented in different ways.
Proportional Relationships
4 pts

and Linear Equations
8.EE.B.6
Level 5:Distinguished Command

Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane;

Derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b using multiple methods.
Level 4: Strong Command

Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane;

Derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b using at least two methods.
Level 3: Moderate Command

Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane;

Derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b using only one method.
Level 2: Partial Command

Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane;

Cannot derive the equation y = mx for a line through the origin and partially derives the equation y = mx + b for a line intercepting the vertical axis at b using multiple methods.
Functions
4 pts

8.F.A.1
Level 5:Distinguished Command

Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.

Proves that a relation is a function when considering the five representations of a function.

Uses multiple strategies to determine the difference between a relation and a function.
Level 4: Strong Command

Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.

Proves that a relation is a function when considering at least three representations of a function.

Uses multiple strategies to determine the difference between a relation and a function.
Level 3: Moderate Command

Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.

Proves that a relation is a function when considering at two representations of a function.

Uses at least two strategies to determine the difference between a relation and a function.
Level 2: Partial Command

Understand that a function is a rule assigning to each input exactly one output which can be graphed as a set of ordered pairs.
Functions
4 pts

8.F.A.2
Level 5:Distinguished Command

Compare properties of two functions given real world problems, each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

Compare rates of change and y intercepts all correctly.
Level 4: Strong Command

Compare properties of two functions given real world problems, each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

Compare rates of change and y intercepts partially correctly.
Level 3: Moderate Command

Compare properties of two functions , each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

Compare rates of change and y intercepts correctly.
Level 2: Partial Command

Compare properties of two functions , each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

Compare rates of change and y intercepts partially correctly.
Functions
4 pts

8.F.A.3
Level 5:Distinguished Command

Interpret the equation y = mx + b as defining a linear function in real world applications, whose graph is a straight line.

Give examples of functions that are not linear in real world applications.
Level 4: Strong Command

Interpret the equation y = mx + b as defining a linear function in real world applications, whose graph is a straight line.

Give examples of functions that are not linear.
Level 3: Moderate Command

Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line.

Give examples of functions that are not linear.
Level 2: Partial Command

Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line;
Functions
4 pts

8.F.B.4
Level 5:Distinguished Command

Construct a function to model a linear relationship between two quantities given real world problems.

Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph.

Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
Level 4: Strong Command

Construct a function to model a linear relationship between two quantities given real world problems.

Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph.

Interpret the rate of change or initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
Level 3: Moderate Command

Construct a function to model a linear relationship between two quantities given real world problems.

Determine the rate of change or initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph.

Interpret the rate of change or initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
Level 2: Partial Command

Construct a function to model a linear relationship between two quantities given real world problems.

Determine the rate of change or initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph.
Functions
4 pts

8.F.B.5
Level 5:Distinguished Command

Describe qualitatively the functional relationship between two quantities given a real world problem by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear).

Sketch a graph that exhibits the qualitative features of a function that has been described verbally completely correctly..
Level 4: Strong Command

Describe qualitatively the functional relationship between two quantities given a real world problem by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear).

Sketch a graph that exhibits the qualitative features of a function that has been described verbally mostly correctly..
Level 3: Moderate Command

Describe qualitatively the functional relationship between two quantities given a real world problem by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear).

Sketch a graph that exhibits the qualitative features of a function that has been described verbally partially correctly..
Level 2: Partial Command

Describe qualitatively the functional relationship between two quantities given a real world problem by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear).

Sketch a graph that exhibits the qualitative features of a function that has been described verbally incorrectly..




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