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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