PURPOSE OF THE PERFORMANCE ASSESSMENT:

- Student will apply his/her knowledge of skills and concepts in problem solving to determine the probability in terms of various forms of mathematical statements
- Student will demonstrate their understanding by developing a logical method in sorting and analyzing data.
- Student will analyze pertinent data and demonstrate logical reasoning to reach appropriate conclusion.
- Student will demonstrate “habits of mind”, such as, asking or giving assistance to help peers understand probability and how to solve problems using collaborative learning.

ASSESSMENT CONTEXT:

- The student will use his/her knowledge to predict the probability from a synthesized “real-life” situation of given elements provided in a brief paragraph form by the teacher.
- The student will demonstrate their knowledge and basic Algebra skills, such as converting ratio, fraction, and decimals to show answers.

Two Performance Assessment open-ended Questions:

**Problem 1:**

**There are five slices of pizza in a box: ****2 pepperoni, 1 mushroom, and 2 eggplant. If you reach into the box without looking and take a slice, what is the probability you will get a pepperoni slice? **Explain in detail how you found your answer using words, numbers, and/or pictures. **( **Answer: 2/5 or .20 or 20% chance)** **

**Problem 2:**

**You have been asked to watch all of 20 kindergarten students at Monroe on the playground. Before you can stop them, every one of them**** ****throws their shoes down the storm drain where you can’t see them. Using a stick, you can pull one shoe out one at a time. What are the odds that the second shoe you pull up will match the first?**** **Explain in detail how you found your answer using words, numbers, and/or pictures.** **(Answer: 1/39) Explanation: If I could pull all the shoes out at the same time, the odds would be 1/40. But the odds that the second shoe will match the first one -that was already removed- leaves me with one less shoe. Therefore, the odds are 1 out of 39.)

HOLISTIC RUBRIC:

- Student will demonstrate knowledge and understanding of the concept of probability.

- Student will be able to know what probability is and its role in the real world. .

- Student will know how to solve problems in probability by using logic and analysis.

- Student will demonstrate habits of mind like constructive criticism and feedback, respect for reason, and cooperation and working together.

TESTING CONSTRAINTS:

- Students may not ask the teacher for help during the performance assessment. However, it is permissible to ask another student for help and work in pairs. Those students that have accomplished the task with great understanding may volunteer to help another student.
- Students may use calculators in converting ratios to fractions to decimal forms in their answers.
- Students will have a time-constraint of 15 minutes per problem.
- There are 2 problems. (See problems in Assessment Context section).