Assessment Plan - Multiplying Fractions
This assessment plan is designed to serve as a final assessment for a lesson plan for multiplying fractions, a lesson subsequent to the Introduction to Fractions previously presented here. The assessment activities are varied, and address the application of fractions to other fractions and the appropriate reduction of fractional equivalents.
Learning Outcome 1 - The student will demonstrate understanding of the subject matter within multiple contexts
Learning Outcome 2 - The student will create a word problem addressing at least 3 ways of fractionally dividing property between at least 4 different people. The student will supply all the equations supporting the word problem.
Test Item Examples for Learning Outcome 1
Below are examples for each type of test item to be used in the assessment. Ideally the test should be constructed of enough items to fill a single class period, perhaps with time left over for an extra credit item for early finishers.
Item 1 - Multiple Choice - Select the correct solution to the given equation from the 4 choices listed below it:
1/4 x 1/2 = ?
A. 1/6
B. 1/8
C. 2/6
D. 2/8
Item 2 - Fill In The Blank - Solve the equation (Hint: Always remember to reduce fractions whenever possible):
1/4 x 2/3 = _________
Item 3 - Matching Items - Draw lines between the equations and their correct solutions. Include your calculations to support your choices. (Hint: Always remember to reduce fractions whenever possible):
2/3 x 3/4 2/5
1/2 x 3/8 1/2
3/4 x 1/6 3/16
3/5 x 2/3 1/8
Item 4 - Matrix Exercises - Draw a line in each matrix below to illustrate the indicated fractions:
* * * * * * * * * * * * * * * * * * * * * * * *
* * * * * * * * * * * * * * * * * * * * * * * *
* * * * * * * * * * * * * * * * * * * * * * * *
* * * * * * * * * * * * * * * * * * * * * * * *
* * * * * * * * * * * * * *
1/3 + 2/3 3/4 + 1/4 3/5 + 2/5
Item 5 - Matrix Creation - Create your own matrix, in the space below (different from any of the ones in item 4), that is divisible by 2, 3 and 4. Draw lines in the matrix to illustrate a fractional division of your choice. Include the equations for the number of items in the matrix as well as your fractional divisions.
Holistic Rubric
CATEGORY
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4
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3
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2
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1
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Mechanics
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The student provides correct equations for all of the test items.
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The student provides correct equations for most of the test items.
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The student provides correct equations for some of the test items.
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The student provides correct equations for none of the test items.
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Mathematical Concepts
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The student\'s explanations show complete understanding of the mathematical concepts used to solve the problems.
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The student\'s explanations show substantial understanding of the mathematical concepts used to solve the problems.
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The student\'s explanations show some understanding of the mathematical concepts used to solve the problems.
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The student\'s explanations show very limited or no understanding of the mathematical concepts used to solve the problems.
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Diagrams and Sketches
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Student\'s work with the matrix items is clearly diagrammed and fully correct.
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Student\'s work with the matrix items is not always clearly diagrammed and is not fully correct.
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Student\'s work with the matrix items is somewhat difficult to understand, but more than half the equations are correct.
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Student\'s work with the matrix items is difficult to understand, with less than half of the equations stated correctly.
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Completion
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All test items are completed.
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All but one of the test items are completed.
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All but two of the test items are completed.
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Several of the test items are not completed.
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Testing Constraints
Time - the assessment will be constructed so that it can be completed within a single classroom period.
Assistance from others - two of the test items include teacher hints reminding students to reduce fractions whenever possible
No other testing constraints are applicable.
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