Teacher CandidateSamantha Colman School Greenwood High School Date/Time of Lesson 11-24-14/11:45 Subject/Grade Level Probability and Statistics/ 11-12 Observer Woody Nivens Cooperating Teacher Woody Nivens Description of Lesson In this lesson I will teach the students about normal distribution. I will explain the definitions and demonstrate examples of normal distribution. The students will be able to work examples of finding cumulative area given a z scores of normal distribution using a chart by the end of lesson. Lesson Plan Component Lesson Topic/Title Description Normally Distributed Data Title of lesson, similar to a book title NCTM: Understand and apply basic concepts of probability understand the concepts of sample space and probability distribution and construct sample spaces and distributions in simple cases. National Standard(s): List the number and write the standard; i.e., IRA/NCTE, NCSS, NCTM, MENC, SC Curriculum Standard: S-MD ( Using Probability to Make Decisions) Use probability to evaluate outcomes of decisions NAFME SC Curriculum Standard(s): List the number and SC Academic Indicator: 7. (+) Analyze decisions and strategies using probability concepts write the standard; i.e., GS-6.1 SC Academic Indicator(s): List the number and write the indicator Curriculum Standards Addressed Cross-Curricular Connections Students need to be able to read examples and comprehend the vocabulary in the book. Write how the lesson is integrated with other subject areas Instructional Objectives Students will be able to find the area under the normal curve given a z score What should students know or be able to do by the end of the lesson? Students should be able to find the area under the normal curve given a z score with a 85% accuracy after completing the daily grade. Students will (VERB)… Objectives should be observable and measureable Lesson Plan Component Instructional Objectives cont. List the numbers for the standards that each objective addresses; i.e., NCSS 1, SC GS-6.1 Materials/Resources List all materials needed to implement your lesson; e.g., pencils, notebook, selected reading(s), video, PowerPoint... If digital technology will be integrated in the lesson to enhance the learning experience, address how. Prerequisites (Prior Knowledge) List skills/abilities students will need to successfully participate in their learning experience according to the following developmental needs: Social Cognitive Physical Emotional Accommodations How will you accommodate for varying rates of learning (early finishers/slowerpaced learners), learning styles, and any relevant diversities? What accommodations will be made for students with special needs? References Description NCTM- Understand and apply basic concepts of probability SC Standards- S-MD 7 Pencils Notebook Daily grade work sheet Text book (Elementary Statistics Picturing the World 5 Edition) Promethean Board – write notes on the board Computer – need to use Promethean Board Graphing Calculator- Students will use the calculator to assist in solving problems if needed. Social o th Able to communicate with me and other students Cognitive o Thinking about any connections to previous knowledge Physical o Able to write o Able to use a calculator Emotional o Be open to learning I do not have any students that are on accommodations. I will have the definition and an example of a range and standard deviation on the Promethean Board. I will vocally say what I am writing or what is on the board. This will accommodate all types of learners. I will give time between each step before moving on to make sure the students understand the content. Larson, R., & Farber, B. (2012). Measures of Variation. In Elementary statistics: Picturing the world (5th Cite all references for materials/resources used in ed., pp. 218-219). Boston, MA: Prentice Hall. th preparing the lesson. Citations should be in APA, 6 2 Lesson Plan Component edition format. Description The normal distribution http://highered.mheducation.com/tbern/public_html/0073048259/pdf/ch06_03.pdf Statistic Worksheet 7.2 http://pleaseshowyourwork.wikispaces.com/file/view/Stat+WS+7.2.PDF Procedures Introduction: Today we are going to learn about finding cumulative area with normal distributions given a z score. You will be able to find the area under the curve given the z-score. I expect you to pay attention to the lesson as I teach you about how to find the area under the curve, answer questions if I ask them as directed, and listen to all of my instructions. Motivation Grouping Instructional Strategies (steps in the lesson) Body: Lets first talk about all normal curves can be defined by just two values to include questioning techniques and Let discuss z-scores lesson closure z-scores: The definitionA z-score is z Value Mean st .deviaton x z Discuss Table E (inside front cover of textbook and will give a copy to the students) There are six types of problems, but we will not learn all six type We will only learn these two: o 50% of the data lies on each side of the mean o The numbers in the table tell the amount of data between the mean and the given z-scores Work and example of fining the area that corresponds to a z-score : o 1.How much of the normal curve lies to the left of the z-score=1.50 0.9332 o 2. How much of the normal curve lies to the right of the z-score=2.93 0.0017 o 3. How much of the normal curve lies to the left of the z-score=-2.45 0.0071 3 Lesson Plan Component Description o 4. How much of the normal curve lies between the z-score=.95 and z-score=1.84 0.1382 o 5. How much of the normal curve lies between the z-score=-1.32 and z-score=0.74 0.677 Students will solve problems from the PowerPoint on their own to see if they understand the material and to practice finding the area given the z-score. Conclusion: Today we have learned how to find the area under the normal curve given the z-score using the graph. For homework try pg 282 #7-23 odd. There will be a daily grade tomorrow on your homework. Assessment(s) of the Objectives Observe if students understand the concept of normal distribution What assessment(s) will you use to determine what students learned and achieved during the lesson? The assessment(s) must be aligned with instructional objectives. Ask them questions about previous knowledge they should know and the new information Let them work examples in class and walk around to see if they are understand how to read a graph In class assignment will be done to see if they understand the information. Students will be given a daily grade the next day and will be taken up to check to see if they understand the material. Evaluation of Lesson Were objectives successfully achieved? What went well? What would you like to improve? What adjustments will be made in succeeding lessons? 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