Unit+1+-+Modeling+with+Data

DPS DRAFT OF UNIT 1:

Resources from other states:

**Literacy Ideas:**


Sample grading sheet for Core Plus Investigation:


 * Statistical and Graphing Software:**
 * CPMP Tools**
 * JMP**
 * TinkerPlots**
 * Fathom**
 * The Geometer's Sketchpad**
 * **SketchExchange**
 * **Sketchpad Explorer (for iPad)**
 * Geogebra**
 * **GeogebraTube**


 * Data Resources**

T**he CPMP Course 1 textbook addresses Common Core standards S.-ID.1, S-ID.2, and S-ID.3 in Unit 2.** This activity allows you to assess students' prior knowledge as well as get them thinking about the issues of Shape, Center, and Spread that they will be investigating. It can also be used at the end of the unit to see how their understanding has developed.
 * A sample activity to use as a launch for the unit and create an anchor data set to refer back to throughout the unit:** Whole Class Data Collection
 * S-ID.4 is not included in the Common Core Math 1 standards.**


 * Since S-ID.5 addresses bivariate categorical data, we recommend a** **bridge standard here that addresses univariate categorical data.**
 * In the Core Plus Course 1 textbook, Question 9 on page 94 is the only** **mention of categorical data. We suggest the following activity to explore**
 * in more depth the differences between categorical and quantitative data:**

For more info on two-way tables: @http://stattrek.com/statistics/two-way-table.aspx
 * __S-ID.5__ Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the** **context of the data**
 * (including joint, marginal, and conditional relative frequencies).**

We have also included a variety of web resources below that can help to supplement these topics.


 * Sample Lessons and Assignments:**
 * Interpreting Categorical and Quantitative Data - Summarize, represent, and interpret data on a single count or measurement variable.**


 * __S-ID.1__ Represent data with plots on the real number line (dot plots, histograms, and boxplots).**
 * Day 1 Survey.doc
 * Questions to Ask Students to Generate Data
 * SmartiePants.doc
 * Stacked Class
 * [[file:dpscommoncoremath1/histogram_pacemakers.doc|histogram_pacemakers.doc]]
 * [[file:dpscommoncoremath1/Investigative Task - Describing and Displaying Data.doc|Investigative Task - Describing and Displaying Data.doc]]
 * [[file:dpscommoncoremath1/GettingToKnowYou_DataCollection.doc|GettingToKnowYou_DataCollection.doc]]
 * [[file:dpscommoncoremath1/The Game of Greed.doc|DataCollectionAndGraphicalDisplayProject.doc]]

Core-Plus Course 1 Student Study Guide
 * Bar Graphs and Histograms: p. 86, 88
 * Bar Graphs and Line Graphs: p. 87
 * Stem and Leaf Plots: p. 89-90


 * Technology Activities**:
 * Census At School
 * ExperimentsAtSchool
 * Box Plotter
 * Old Faithful


 * __S-ID.2__ Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.**


 * [[file:dpscommoncoremath1/Measures of Center.doc|Measures of Center.doc]]
 * [[file:MathHomeworkdata.txt|Data for Prob. 4 on page 100 of CPMP book]]

Core-Plus Course 1 Student Study Guide
 * Mean: p. 78-79
 * Median, Mode, Range: p. 80-81


 * Technology Activities:**
 * Mean and Median
 * TI Mean, Median, Mode, Standard Deviation
 * NBA Data


 * __S-ID.3__ Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers).**


 * [[file:dpscommoncoremath1/shape_measuresofcenter_problems.doc|shape_measuresofcenter_problems.doc]]


 * Interpreting Categorical and Quantitative Data - Summarize, represent, and interpret data on two categorical and quantitative variables.**


 * __S-ID.5__ Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies).**
 * Titanic.doc
 * Titanic_AnswerKey.doc
 * [[file:dpscommoncoremath1/Two Way Tables.doc|Two Way Tables.doc]]
 * [[file:dpscommoncoremath1/political_party_contingency_table.doc|political_party_contingency_table.doc]]


 * __Bridge Standard__: Represent data on two categorical variables.**
 * Graphing Qualitative- oh.doc


 * Unsorted Documents:**









**Textbook Resources:**
 * Discovering Algebra: An Investigative Approach: Chs. 1, 4, and 10
 * Core-Plus Mathematics Course 1: Units 2, 3, 8
 * Core-Plus Mathematics Course 2: Units 4 and 8

Core-Plus Course 1 Student Study Guide
 * Measures of Center: p. 78-81
 * Probability: p. 82-85
 * Organizing Data: p. 86-90
 * Spiral Review: p.95-98, 119-122


 * Web Resources:**

> technology, culture, literacy, and communication > disabilities, service trade, and oil
 * Census At School
 * ExperimentsAtSchool
 * [|Middle School Portal 2: Statistics: Handling all that Data]
 * [|www.gapminder.org/world]
 * @http://flowingdata.com/
 * Data and Story Library -large archive of data files and related stories
 * UNESCO Institute of Statistics-international longitudinal data on education, science and
 * United Nations Statistical Databases-international statistics on such topics as population demographics,
 * Wolfram Alpha
 * Journal of Statistics Education data sets
 * World Trade Organization
 * World Health Organization

**SAS Curriculum Pathways** : Free to Educators. Sign up for a free account. http://www.sascurriculumpathways.com/portal/#/home SAS Curriculum Pathways Lessons
 * QL #1050 – Statistics in the News: What to believe?
 * QL #1054 – Choosing the “best” statistic
 * QL #530 – Changing Data: Effects on Variability
 * QL #123 – The MEAN-ing of Standard Deviation
 * QL #529 – Central Tendencies from Web Data
 * QL #122 – The Pros and Cons of the Measures of Central Tendency
 * QL #1052 – Using Data to Make Good Decisions

**Shodor Interactivate activities:** @http://www.shodor.org/interactivate/activities/

http://math.buffalostate.edu/~hmarsh/handouts%20for%20students/an%20activity%20with%20one%20variable%20stats.pdf
 * Graphing Calculator activities: **
 * [[file:dpscommoncoremath1/TIGuideDraft.pdf|TIGuideDraft.pdf]] **

@http://education.ti.com/calculators/downloads/US/Activities/Detail?id=11489

**Common Core Standards: Illustrative Tasks (Statistics tasks coming soon.)** @http://illustrativemathematics.org/standards/hs

**Core Plus Student Activity Workbook pdf:** @http://glencoe.mcgraw-hill.com/sites/0078615216/student_view0/student_study_guide.html

@http://www.scc.ms.unimelb.edu.au/whatisstatistics/
 * Real-World Statistics **

http://www.learner.org/interactives/statistics/activity0/frontpoll.phtm

**Applets to display data graphically and calculate summary statistics:**

@http://bcs.whfreeman.com/ips4e/cat_010/applets/histogramIPS.html

@http://www.ltcconline.net/greenl/java/Statistics/OneVariableStatistics/OneVariableStatistics.htm

** Applet to show impact of bin width on a histogram: ** http://www.stat.sc.edu/~west/javahtml/Histogram.html

** Applets showing difference between mean and median: **

@http://www.nctm.org/standards/content.aspx?id=26777

http://www.ruf.rice.edu/~lane/stat_sim/descriptive/index.html

@http://bcs.whfreeman.com/ips5e/default.asp?s=&n=&i=&v=&o=&ns=0&uid=0&rau=0

** Statistics vocabulary flashcards and games: **

@http://quizlet.com/6063287/one-variable-statistics-flash-cards/

**Some nice data sets:**


 * Lengths of Major Rivers: http://ga.water.usgs.gov/edu/riversofworld.html
 * Depths of items in ocean: http://mathforum.org/workshops/usi/dataproject/usi.elemdata.html
 * Whale sizes: @http://www.enchantedlearning.com/subjects/whales/activities/graphs/gr2.shtml
 * Boston marathon results – compare runners to wheel chairs. []
 * World population data – look at exponential growth and local linearity []
 * Average temperatures – compare average highs/lows over the year in cities in the northern and southern hemispheres [|http://www.worldclimate.com]
 * The Indianapolis 500 – students investigate the relationship between year and winning speed for the history of the race. (no correlation) @http://www.indy500.com/stats
 * Rocket Path – the students use data from a rocket launch to determine the equation that models the path of the rocket. (quadratic) @http://www.markworld.com/altitude.html
 * Wheelin’ and Dealin’ – students will model exponential functions (interest) through investigating the cost of purchasing a car. www.kbb.com and www.peoplefirst.com/pFF/loancalc.asp
 * @http://www.nctm.org/standards/content.aspx?id=25041
 * @http://www.nctm.org/standards/content.aspx?id=25042
 * @http://www.math.uah.edu/stat/data/index.html
 * @http://nces.ed.gov/nationsreportcard/statecomparisons/
 * Teacher Salaries: @http://teacherportal.com/teacher-salaries-by-state
 * US Census Data: http://factfinder2.census.gov/faces/nav/jsf/pages/searchresults.xhtml?refresh=t
 * Weather Channel: http://www.weather.com/weather/monthly/27707
 * Baseball Data and Stats Activity: http://sciencenetlinks.com/lessons/baseball-stats/
 * School and library data: http://nces.ed.gov/nceskids/tools/index.asp
 * Populations of Countries:[| http://www.nationmaster.com/red/graph/peo_pop-people-population&int=-1&id=EUR&b_ac=1]

**For students to study at home:** @http://www.onlinemathlearning.com/statistics.html

**Statistics Cartoons to Discuss in Class:**

Guidelines for Assessment and Instruction in Statistics Education (GAISE) project Full GAISE report released by the American Statistical Association: