1. Chapter-12: “Go Math” grade-6 Data Displays & Measures of Center April 29, 2016 Bridgeton Grade-6 Math Teachers Presented by: Judith T. Brendel edleaderk12@hushmail.com

2. Today’s Objective Create Exit Cards for selected lessons … or … Create Quiz for selected lessons … or … Create Cumulative assessment for whole chapter … or … Create a PARCC-Like assessment based only on those topics assessed as/2014, 2015 released items WORK in PAIRS; SHARE THE WEALTH!

3. CCSStandards CCSS.MATH.CONTENT.6.SP.A.1 Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. For example, "How old am I?" is not a statistical question, but "How old are the students in my school?" is a statistical question because one anticipates variability in students' ages. Lesson 12.1: Recognize Statistical Questions Essential Question: How to identify a statistical question?

4. CCSStandards CCSS.MATH.CONTENT.6.SP.A.2 Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape. Lesson 12.2: Describe Data Collection

5. CCSStandards CCSS.MATH.CONTENT.6.SP.A.3 Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number. Summarize and describe distributions. Lesson 12.6: Measures of Center

6. CCSStandards CCSS.MATH.CONTENT.6.SP.B.4 Display numerical data in plots on a number line, including dot plots, histograms, and box plots. Lesson 12.3: Dot Plots and Frequency Tables Essential Question: How can you use dot plots and frequency tables to display data? Lesson 12.4: Histograms

7. CCSStandards CCSS.MATH.CONTENT.6.SP.B.5 Summarize numerical data sets in relation to their context, such as by: CCSS.MATH.CONTENT.6.SP.B.5.A Reporting the number of observations. CCSS.MATH.CONTENT.6.SP.B.5.B Describing the nature of the attribute under investigation, including how it was measured and its units of measurement.

8. CCSStandards CCSS.MATH.CONTENT.6.SP.B.5 continued: Summarize numerical data sets in relation to their context, such as by: CCSS.MATH.CONTENT.6.SP.B.5.C Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered. Lesson 12.5: Investigate Mean as Fair Share and Balance Point

9. CCSStandards CCSS.MATH.CONTENT.6.SP.B.5 continued: Summarize numerical data sets in relation to their context, such as by: CCSS.MATH.CONTENT.6.SP.B.5.D Relating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered.

10. “Go Math” Chapter-12 Categories 12.1Recognize Statistical Questions 12.2Describe Data Collection 12.3Dot Plots and Frequency Tables 12.4Histograms Mid-Chapter Checkpoint 12.5Investigate Mean as Fair Share and Balance Point 12.6Measures of Center 12.7Effects of Outliers 12.8Problem Solving: Data Displays Chapter 12 Review/Test Performance Task

11. VOCABULARY EngageNY New Vocabulary Familiar Vocabulary

12. EXIT CARDS/sheets Sample: EngageNY link Module 6

13. CCSS Assessment Tasks PARCC 2015 Grade-6 Released EOY Items Examples 9, 10 and 11 (of 34 items) PARCC 2015 Grade-6 Released PBA Item(s) Example 16 Part A and Part B EngageNY 2013 and 2014 Released Test EngageNY 2013 and 2014 Released Test Questions (There are no items in this category included for grade 6). The same is true for the 2015 Released annotated test items.

14. MID-Module/FINAL-Module Test Sample: EngageNY Resources Module 6 Mid-Module Assessment End-of-Module Assessment

15. Additional Resources IXL – Data and – Statistics MIDDLE SCHOOL Data Analysis: ADDITIONAL RESOURCES (PBS LEARNING MEDIA) “Variation About the Mean:” THE BOSTONHARBOR PROJECT http://www.pbslearningmedia.org/resource/mgbh.math.sp.harbor/variation- about-the-mean-the-boston-harbor-project/ http://www.pbslearningmedia.org/resource/mgbh.math.sp.harbor/variation- about-the-mean-the-boston-harbor-project/ Line Plot Representation of Deviation from the Mean http://www.pbslearningmedia.org/resource/mgbh.math.sp.deviation/line- plot-representation-of-deviation-from-the-mean/ http://www.pbslearningmedia.org/resource/mgbh.math.sp.deviation/line- plot-representation-of-deviation-from-the-mean/

16. … resources For Kids Data and Statistic Games Statistics for Kids - Videos and Games Interactive Games about Statistics for Kids Data, Probability, and Statistic Games Data Analysis & Probability Games for Kids US Census Bureau, Statistics for Kids For Teachers AP Statistic Notes and Worksheets Lots of Lessons Free Clipart Free Templates Free Materials for Teachers