References: TN STANDARDS CONTENT INSTRUCTIONAL SUPPORT & RESOURCES Chapter 1-The Nature of Probability and Statistics (2 for instruction, review, and assessment) Domain: Making Inferences and Justifying Conclusions Cluster: Understand and evaluate random processes underlying statistical experiments Understand statistics as a process for making inferences about population parameters based on a random sample from that population. Enduring Understanding(s): Numbers, expressions, and measures can be compared by their relative values. Some questions can be answered by collecting and analyzing data, and the question to be answered determines the data that needs to be collected and how best to collect it. Essential Question(s): How can the study of Statistics be used in real life scenarios? What are the benefits of interpreting data? How do we study data? Objective(s) The student will: Demonstrate knowledge of statistical terms. Differentiate between the two branches of statistics. Elementary Statistics Textbook (Bluman) 1-1 Descriptive and Inferential Statistics Additional Resource(s) Against All Odds Video, Unit 1 What is Statistics? (Against All Odds is a Series that introduces a statistical topic and illustrates it with a real-world example) Domain: Interpreting Categorical and Quantitative Data Cluster: Understand, represent, and use univariate data Objective(s) The student will: Identify the measurement for each variable. Elementary Statistics Textbook (Bluman) 1-2 Variables and Types of Data Additional Resource(s)
Understand histograms, parallel box plots, and scatterplots, and use them to compare and display data. Construct and analyze frequency tables and bar charts. chart, pie graph, raw data, relative frequency graph, stem and leaf plot , time series graph, ungrouped frequency distribution, upper class limit Elementary Statistics Textbook (Bluman) Statistics Today, pp. 36, 97 Critical Thinking Challenges, pp.99-100 Speaking of Statistics, pp.74, 81 Applying the Concepts, pp. 45-46, 60, 83-84 Extending the Concepts, pp. 48, 63, 86-87 Data Projects, pp.100-101 TI-83/84 Step by Step, pp. 64-65, 91 Objective(s): The student will: Represent data using bar graphs, Pareto charts, time series graphs, and pie graphs. Draw and interpret a stem and leaf plot. Elementary Statistics Textbook (Bluman) 2-3 Other Types of Graphs Additional Resource(s) Against All Odds Video, Unit 2, Stemplots Task(s) Q1 _Statistics _M&Ms1 Chapter 3 – Data Description (4 weeks for instruction, review, and assessment) Domain: Interpreting Categorical and Quantitative Data Cluster: Understand, represent, and use univariate data Summarize distributions of univariate data. For univariate measurement data, be able to display the distribution, describe its shape; select and calculate summary statistics. Recognize how linear transformations of univariate data affect shape, center, and spread. Describe individual performances in terms of percentiles, z-scores, and t- scores. Domain: Using Probability to Make Decisions Cluster: Understand the normal probability distribution. Enduring Understanding(s): Data can be represented visually using tables, charts, and graphs. There are special numerical measures that describe the center and spread of numerical data sets. Essential Question(s): How do we organize, display, and describe data? How does mean, median, and mode describe data? How can percentiles be used when comparing an individual to the norm? How does exploratory data analysis help us to better understand our data? Objective(s): The student will: Use a variety of numerical techniques to Elementary Statistics Textbook (Bluman) 3-1 Measures of Center Additional Resource(s) Task(s)
Data Projects, pp.179-180 TI-83/84 Step by Step, pp. 158-159, 169-170 Domain: Interpreting Categorical and Quantitative Data Cluster: Understand, represent, and use univariate data Understand histograms, parallel box and scatterplots, and use them to compare and display data. Objective(s): Students will Use the techniques of exploratory data analysis, including boxplots and summaries, to discover various aspects of data. Elementary Statistics Textbook (Bluman) 3-4 Exploratory Data Analysis Additional Resource(s): Task(s): RESOURCE TOOLBOX Textbook Resources Standards Common Core Standards - Mathematics Common Core Standards - Mathematics Appendix A The Mathematics Common Core Toolbox State Academic Standards (Statistics) Edutoolbox (formerly TNCore) Videos Against All Odds Videos (with Study Guides) (A Video Series that introduces a statistical topic and illustrates it with a example) Khan Academy Calculator Interactive Manipulatives Additional Sites