Saturday, August 4, 2012


Purpose

            The purpose of this assessment plan is to assess the students' knowledge of slopes.

Learner outcomes:

1. The learner will be able to find the slope given two points.

2. The learner will use rate of change to solve problems.

3. Model real-world data with an equation in slope-intercept form.

4. Write an equation of a line given the slope and a point on the line.

Assessment Context

            The learner will use his or her knowledge of slopes to build a mini rollercoaster, show the different types of slopes given below within the rollercoaster project, draw a diagram of their rollercoaster, identify the equations of the rollercoaster, and create a functional model.

1. Positive slope

2. Negative slope

3. Zero slope (horizontal line)

4. Undefined slope (vertical line)
Holistic Rubric
            The learner will be assessed using the following rubric:
CATEGORY
4
3
2
1
Mathematical Concepts
Explanation shows complete understanding of the mathematical concepts used to solve the problem(s)
Explanation shows substantial understanding of the mathematical concepts used to solve the problem(s).
Explanation shows some understanding of the mathematical concepts needed to solve the problem(s).
Explanation shows very limited understanding of the underlying concepts needed to solve the problem(s).
Mathematical Reasoning
Uses complex and refined mathematical reasoning.
Uses effective mathematical reasoning.
Some evidence of mathematical reasoning.
Little evidence of mathematical reasoning.
Use of Manipulatives
Always listens and follows directions and only uses manipulatives as instructed.
Typically listens and follows directions and uses manipulatives as instructed most of the time.
Sometimes listens and follows directions and uses manipulatives appropriately when reminded.
Rarely listens and often "plays" with the manipulatives instead of using them as instructed.
Model
Model was well designed and contained the objectives sought.
Model was designed but  some objectives were missing.
Model was ill-designed and all objectives were not met.
Model was not constructed.  Objectives were not met.
Testing Constraints
            Students will have two class hours to complete the models of the rollercoaster.  No models will be accepted late. Completion of the models, showing the desired learner outcomes,  is the actual test. 
Category
Positive
Slope
Negative
Slope
Zero
Slope
Undefined
Slope
Equations
Y=mx + b
Y= -mx + b
Y = b
x = b
Paper Diagram
The line slopes up from left to right.
The line slopes down from left to right.
There should be a horizontal line.
There should be a vertical line.
Functionality
Ability to ascend
Ability to descend
Ability to move in a straight line
Ability to  move vertically into a curve

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