Mathematics Lesson Plans
Lesson Plans
Standards Based High Achievement Unit
Teacher: Angela Schmit
Course: Pre-Algebra, Algebra I
Outcome: The students will...
*Use a computer spreadsheet program to create a bar graph. (Non-linguistic Representation)
*Calculate probabilities of independent events. (Homework and Practice)
*Calculate probabilities with and without replacement. (Homework and Practice)
*Calculate expected outcomes from sample data. (Generating and Testing Hypotheses)
*Explain and perform an example of probability with instructor using manipulatives. (Setting Objectives and Providing Feedback)
Standard:
Standard 12.5.1 By the end of twelfth grade, students will select a sampling technique to gather data, analyze the resulting data, and make inferences.
Standard 12.5.3 By the end of twelfth grade, students will apply theoretical probability to represent problems and make decisions.
Standard 12.5.6 By the end of twelfth grade, students will calculate probabilities of independent events.
Formative Assessment: Product: Students will use a computer spreadsheet program to illustrate and graph a bar graph for their sample package of M & M data. (Nonlinguistic Representation)
Performance: Students will gather, record, and analyze data on their sample package of M & M's. (Generating and Testing Hypotheses)
Written: Students will complete the M & M worksheet on probabilities of independent and dependent events, determine probabilities with and without replacement, and find expected values based on their recorded data. (Homework and Practice)
Performance and Oral: Students will discuss and demonstrate an example of probability with and without replacement using their M & M's on a one-to-one basis with the instructor. (Setting Objectives and Providing Feedback)
Teacher Methods:
*Direct instruction on probability (with and without replacement, independent and dependent events, expected value) (Summarizing and Notetaking)
*Guided discussion (Setting Objectives and Providing Feedback and Cues, Questions and Advance Organizers)
*Notetaking (Summarizing and Notetaking)
*Review
*Show students how to create a bar graph using spreadsheet programs (Nonlinguistic Representation)
*Illustrate various examples of expected outcomes using the teacher's sample package of M & M's. (Cues, Questions and Advance Organizers)
Student Activities:
The students will each need a package of M & M's. They will begin by gathering and recording the number of each M & M color. After the data has been collected, the students will need to create a bar graph using computer software. See rubric for scoring. (Nonlinguistic Representation)
The students will then demonstrate knowledge of probabilities with and without replacement using their M & M's as manipulatives. The students will do this on a one-to-one basis with the instructor. See rubric for scoring. (Setting Objectives and Providing Feedback)
The students final part of this project will be to individually complete and solve the questions on the M & M worksheet. (Note: Answers will vary) (Homework and Practice)
Resources:
*M & M Packages (one for each student and teacher)
*Textbook
*Calculator
*Computer lab with spreadsheet software
*M & M Worksheet
Extensions: *Students can find the mode of their M & M data from their bar graphs.
*Students can create their own M & M probability questions and have other classmates answer their questions. (Generating and Testing Hypotheses)
*Students can use the data from the entire class and create another bar graph and find the mode from the data of the class. (Nonlinguistic Representation)
*Students can use the M & M worksheet to predict the probabilities based upon the M & M data of the entire class. After the students make their predictions, the teacher can set up the experiment to test their hypothesis. Have students then explain the results of the activity. Decide if their hypothesis was correct, if they need to conduct additional experiments or activities, or if they need to generate and test an alternative hypothesis. (Generating and Testing Hypotheses)
*Students can compare and contrast their solutions from the M & M worksheet. (Identifying Similarities and Differences)
Summative Assessment:
Students will be given a written assessment over probabilities using given data.
Criterion For Outcome:
Students must obtain a score of 80% or higher on their written assessment to be proficient or advanced with regards to the Nebraska State Math Standards 12.5.1, 12.5.3, and 12.5.6. See Answer Key for grading.
**NOTE: Various Research-based Instructional Strategies are included in parentheses.
This Page was last update: Monday, April 12, 2004 at 7:10:41 PM
This page was originally posted: 1/10/2003; 4:19:38 PM.
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