Subject: Algebra 2
Subject: Algebra 2
Grade Level: High School
Unit Title: Probability and Statistics/Sequences and Series (Unit 9) |Timeframe Needed for Completion: 1 week
Grading Period: 2nd Nine Weeks | |
|Big Idea/Theme: Probability and finite series |
| |
|Understandings: |
|Basic statistics |
| |
|Essential Questions: |Curriculum Goals/Objectives |
|How can statistical results be skewed to give the desired result? |SID.4 Use the mean and standard deviation of a data set to fit it |
|How do the each types of data collection affect the end result? |to a normal distribution and to estimate population |
|How can the media, political groups and other interested parties use statistics to influence public |percentages. Recognize that there are data sets for which |
|opinion? |such a procedure is not appropriate. Use calculators, |
| |spreadsheets, and tables to estimate areas under the |
| |normal curve. |
| |SIC.1 Understand statistics as a process for making inferences |
| |about population parameters based on a random sample |
| |from that population. |
| |SIC.2 Decide if a specified model is consistent with results |
| |from a given data-generating process, e.g., using |
| |simulation. For example, a model says a spinning coin |
| |falls heads up with probability 0.5. Would a result of 5 |
| |tails in a row cause you to question the model? |
| |SIC3 Recognize the purposes of and differences among |
| |sample surveys, experiments, and observational studies; |
| |explain how randomization relates to each. |
| |SIC.4 Use data from a sample survey to estimate a population |
| |mean or proportion; develop a margin of error through |
| |the use of simulation models for random sampling. |
| |SIC.5 Use data from a randomized experiment to compare two |
| |treatments; use simulations to decide if differences |
| |between parameters are significant |
| |SIC.6 Evaluate reports based on data. |
| |SMD.6 Use probabilities to make fair decisions (e.g., |
| |drawing by lots, using a random number generator). |
| |SMD.7 Analyze decisions and strategies using probability |
| |concepts (e.g., product testing, medical testing, pulling a |
| |hockey goalie at the end of a game). |
| |ASSE.4 Derive the formula for the sum of a finite geometric |
| |series (when the common ratio is not 1), and use the |
| |formula to solve problems. For example, calculate |
| |mortgage payments.★ |
|Essential Skills/Vocabulary: |Assessment Tasks: |
|Standard deviation |Determine the formula for a finite geometric series from a set of data. |
|Normal curve |Find the normal distribution for a set of data if appropriate. |
|Mean |Make conclusions based on samples, experiments and observational studies. |
|Sample survey |Discuss how randomization affects end results of statistical analysis. |
|Experiment | |
|Observational studies | |
|Randomization | |
|Materials Suggestions: |
|Prentice Hall Algebra 2 |
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