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COURSE: ADVANCED QUANTITATIVE REASONING LAST REVISED: JAN 2017 Unit 10 Using Summary Statistics and Normal Distribution 2016-2017 MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY January 23 January 24 January 25 January 26 January 27 Measures of Center and Spread Measures of Center and Spread Early Release TEKS: AQR 4P TEKS: AQR 4P TLW: Determine various measures of the center and spread of data sets without a calculator TLW: Calculate measures of center and spread the use of the stat function of a calculator and use given 5-number summary to extrapolate information about the original data set Activities: Activities: Section 17: Section 17: Variance & Center – mean, median, Standard Deviation midrange Spread – range, interquartile Guiding Questions: range What is the variance? 5 Number Summary Standard Deviation? What information does a 5- Guiding Questions: number summary provide? What information do you How can you use the need to calculate range? calculator to determine How do you calculate mean, standard deviation, midrange? 5-number summary? What does Q1, Q3, and Assignment: median tell you? What statistics do you need Pg. 163 (13-16, 18) to create a boxplot? Assignment: Pg. 162 Quick Rev (1-9 odd) Closure: Present Closure: Present Outliers TEKS: AQR 4P TLW: Determine outliers in data points and find mean, standard deviation and 5-number summary in the calculator and which summary statistic is appropriate for a given scenario Activities: Homework Check 10A Section 17: Outliers Guiding Questions: What is an outlier? How do you determine if a number is an outlier? How can you determine the summary statistics that would be most useful in that situation? Do you need a measure of center or spread? Closure: Homework Check 10A COURSE: ADVANCED QUANTITATIVE REASONING LAST REVISED: JAN 2017 MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY January 30 January 31 February 1 February 2 February 3 Normal Distribution Calculations Normal Distribution Calculations Normal Distribution Calculations Graphical Representations Characteristics of Normal Distribution TEKS: AQR 4P TLW: Determine the shape of distribution of data and what it means. Activities: Section 17: Graphical TEKS: AQR 4P TEKS: AQR 4P TEKS: AQR 4P TEKS: AQR TLW: Understand the normal distribution including the 68-9599.7 rule and create displays to answer questions about data sets with approximate normal distributions TLW: Calculate z-scores for given data points and explain what information it gives you for data sets that are approximately a normal distribution TLW: Calculate z-scores and use the 68-95-99.7 rule to determine information about a data set TLW: Calculate z-scores and use the 68-95-99.7 rule to determine information about a data set Guiding Questions: If the data set is skewed to Activities: the right, then the mean is Normal Distribution Notes greater or less than the median? Guiding Questions: What does the median tell What does the 68-95-99.7 you about the data set? The rule tell you about the area first quartile? The third under that part of the quartile? curve? Can you use that area to Assignment: determine the percentage of Pg. 163 (13-16, 18-24, 37-38) data points that fall between the two given points? Closure: Present Assignment: Normal Distribution WS Closure: Present Activities: Calculating Z-scores Activities: Section 18 Guiding Questions: Guiding Questions: What does the 68-95-99.7 What information do you rule tell you about the area need to calculate the z-score under that part of the of a data point? curve? What does the z-score tell Can you use that area to you? determine the percentage Why are some negative and of data points that fall some positive? between the two given points? Two given z-scores? Assignment: Z-Score Worksheet Assignment: Pg. 177 (27, 28, 29) Closure: Present Closure: Present Activities: Review concepts from week Homework Check 10B Guiding Questions: What does the 68-95-99.7 rule tell you about the area under that part of the curve/ Can you use that area to determine the percentage of data points that fall between the two given points? Two given z-scores? Assignment: Unit 10 review Closure: Homework Check COURSE: ADVANCED QUANTITATIVE REASONING LAST REVISED: JAN 2017 MONDAY TUESDAY February 4 February 5 Unit 10 Test Review Unit 10 Test TEKS: AQR TEKS: AQR TLW: present solutions to the review problems TLW: Take Unit 10 Test Activities: Activities: Students take the Unit 10 Work in groups on unit 10 Test test review to discuss if answers are correct Assignment: Check answers to unit 9 test Finish Unit 10 reflection review – discuss with group sheets members how they solved Add Unit 11 reflection sheets their problems Guiding Questions: What area of this unit do you struggle with the most? What can you do to improve in those areas? How do you study for a math test? Assignment: Study for Test Closure: What can you do to prepare for your math test? WEDNESDAY THURSDAY FRIDAY