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1 1 of 5 8/11/ :22 AM Units: Teacher: AP, CORE Course: AP Year: Introduction to Professional readings on al designs. Where are used in the real world? Examine politics, medicine, sports, public healh, and education. 2.5.A2.A - Develop a plan to analyze a problem, identify the information needed to solve the problem, carry out the plan, check whether an answer makes sense, and explain how the problem was solved in grade appropriate contexts. rules, types of Professional readings that use. Reading and Interpreting statistical jagon. random variable discrete continuous data collection methods 1. Learn Statistical terminology Show this movie: and be able to use it correctly Use article on polio to examine /snag/vi / and their use. A Paralyzing Fear: The Story of Polio in 3. Use newspapers to look America carefully at in our community 4. Present findings from articls on to the rest of the class 5. Perform the assessment on introductory with an 85% mastery level. Exploring Data This unit uses graphs and the elementary measures of Central Tendency to describe data sets obtained through or census. ways to graphically display data? importance of data center, spread, and shape? Boxplots, Stem and Leaf Plots, Dot Plots, hisograms, frequency rules, distributions-- students should types of be able to construct all of these. Verbally explain spread, shape, and centers of graphed data data organization construction of a frequency distribution tallying box and whisker histogram univariate stem and leaf center spread skew uniform symmetric 1. Construct a frequency Use graphical analysis, Excel, and distribution the calculator to show differet 2. Create a bar graph from a ways of data display. frequency distribution using Excel or Logger Pro 3. Construct a Stem and Leaf Plot and compare it to a bar graph 4. Construct a Dot plot 5. Examine relative and cumulative frequencies and corresponding graphs. in a based C - Select or calculate the appropriate measure of central tendency, calculate and apply the interquartile range for one-variable data, and construct a line of best fit and calculate its equation for two-variable data. measurements of Central Tendency? How are percentiles calculated? How are z-scores calculated? What does variance mean? C - Select or calculate the appropriate measure of central tendency, calculate and apply the interquartile range for one-variable data, and construct a line of best fit and calculate its equation for two-variable data. Mean, Median, mode, range, interquartile range, percentiles, and z-scores Create a Box and whisker plot. calculator number line familiarity mean median mode IQR range quartile decile percentile variance 1. Mean, median, and mode. 2. quartiles and create a Box and Whisker Plot. 3. Calcualte percentiles and deciles Graphing calculators and the ability to do 1 variable on that calculator. This skill may need to be taught. Use TI Smart View.

2 2 of 5 8/11/ :22 AM How can data sets be compared? E - Make in a based. Compare centers, spreads, clusters, gaps, outliers, and shapes of displays of univariate data. deductive reasoning analytical thinking reasoning vocabulary knowledge clusters spread outliers gaps 1. Collect data from two s of the using one of the methods. 2. Organize the data into a frequency distribution. 3. Create graphs to display the data. Describe the graphs. 4. the mean, median, and mode of each set. 5. Compare the data analytically. Use Dot Plots and box plots on the same axes or number line to compare the data sets. How can the calculator be used in descriptive? Use the calculator to: 1. Edit Lists 2. Do a Box and Whisker Plot 3. Do a bar graph 4. Find range, mean, and data sum using 1-Var Basic the TI-84 Plus calculator Lists Apps Stat Stat Plot basic notation of 1. Add data to calculator using lists 2. Graph data using Stat Plot 3. Find Quartiles and Range using the "trace" 4. Find mean using 1-Var Exploring Data Graphical displays of data, summarizing distributions of univariate data, comparing distibutions of univariate data, use of the calculator for univariate, and data collection activities will constitute this unit. How is data organized and summarized? How can data displays be used in the comparson of various? How can a calculator be used to display data and calculate 1 variable? Graphs and Charts including boxplots, stemplots, dotplots, histograms, frequency charts, bar graphs. Mean, median, mode Spread of data, including clusters, gaps and outliers Data Organization Use a TI-84 Plus Mean Median Mode Percentile Quartile Interquartile Range Outliers Be able to create various graphs using pencil and paper, Excel, Logger Pro, and the calculator. Students will use data displays to compare various data sets. Students will collect and organize data. TI-84 Plus Making Sense of Statistical s--case Studies Unit I 9/19/2012 TI-84 Plus on Standard Deviation and Variance Use measures of variance to help in data display and comparison. properties of standard deviation? effects on standard deviation when changing measurements or doing linear transformations on summary measures? nomal How can the Empirical Rule be applied to a normal How can Chebychev's Theorem be applied to a data set? How can students use software and measures of variance in data displays and comparison? 2.5.A2.A - Develop a plan to analyze a problem, identify the information needed to solve the problem, carry out the plan, check whether an answer makes sense, and explain how the problem was solved in grade appropriate contexts. Empirical Rule Chebyshev's Theorem Standard Normal Distribution (z-sores) Excel Logger Pro Normal Distribution Standard Normal Distribution 1. standard deviation using pencil and paper. 2. Add different data points to and discover how the data is affected. 3. Examine graphs and apply Chebychev's Theorem and the Empirical Rule 4. View tutorial video on normal distributions and be able to the ideas using the correct vocabulary. Using a poster of the Empirical Rule, examine standard deviation and the distances away from the mean. Scatter Plot and Correlation Explanatory Variables? response variables? How are scatterplots created and analyzed? 2.6.A2.C - Construct a line of best fit and calculate its equation for linear and non linear two variable data. 2.8.A2.F - Interpret the results of solving equations, inequalities, systems Scatterplots will be created and analyzed using corrlation and linearity. Use Excel and Logger Pro to create scatterplots. scatterplots correlation correlation coefficient the correlaion coefficient. linearity time series Create Scatterplot 1. and interpret the correlation coefficient. 2. Analyze bivariate data using the correlation coefficient and be able to write convincing statements. 3. Use Logger Pro to calculate the correlation coefficient. Identify strong corrrelations as well as computer with Logger Pro and Excel

3 3 of 5 8/11/ :22 AM of equations, and systems of inequalities in the context of the situation that motivated the model. weak ones. 4. Complete the activity "Matching Descriptions to Scatter Plots". Bivariate Data Data collection and equation representation of data linear relationship? n inverse relationship? logarithmic relationship? C - Recognize, describe and generalize patterns using sequences and series to predict long-term outcomes F - Interpret the results of solving equations, inequalities, systems of equations, and inequalities in the context of the situation that motivated the model. Least Squares Regression s of Data Graph bivariate data Use a calculator to graph data and find regression line. residual plots outlers influential points bivariate data Create a least squares outliers. Use calculator to find Use computer software to find s. calculator computer and software Relations in Catagorical Data Data collection and equation representation of data What is Simpson's Paradox? conditional relative frequencies and how are they associated? Analyzing two-way tables, Simpson's Paradox, conditional relative frequencies, and association. The concept of cause and effect, anecdotal evidence, observational studies, and s. TI-84, Excel, and Logger Pro calculating least squares regressions line, dotplots, boxplots, and scatter plots relative frequencies least squares s dotplots boxplots scatterplots outliers influential points Experimental Design, Sampling, and Randomness different methods of data collection? types of? Methods of data collection Methods of Experimental design Students will design an, choose the best method of for the, and conduct the. Basic random error and reasoning bias stratifiying clustering blocking replication Use the books "Activity-Based " and "Making Sense of Explore data collection by Statistical Studies" to enhance lessons creating a survey. on data collection. Complete lab activity using dice to simulate a given Do an observational study on Seat Belts. random and how is a random performed? rules, types of Use the lab "Random Rectangles" to examine random census random simple random Examine random number generators. Examine random number charts and do problems using the generator and the chart. Spend time doing te activity "What is Random Behavior?" Examine Streaky Behavior. "Are the Steelers 'due' for a win?" 1. Activity-Based 2. Numb3rs series opener. Episode 101 on Random behavior. basic rules for? C - Compare odds and. Do simulations to answer basic questions. Examine various Working fractions, decimals, and percents. Empirical Classical Differentiate between randomness and chaos. Examine including vocabulary Text Book assignment from Chapter 14

4 4 of 5 8/11/ :22 AM types of. Become familiar with the basic rules of Use Venn Diagrams to explain How is the multiplication to predict principle used when the events are independent? How are events identified as independent? How are events identified as Mutually Exclusive? How is the Addition Principle used to calculate probabilities? Be able to identify various events. Event Independent Events Mutually Exclusive Events Conditional Probabilities Graping calculators Text Book Prove that two events are independent using the multiplication principle and conditional. Prove that two events are mutually exclusive using the addition principle and Venn diagrams. Use data table to determine conditional probabilities. Random Variables and Sampling Distributions to predict C - Compare odds and. Look at random variables and distributions. Use a simulation to examine distributions and distributions. Use of TI-84 Basic math Random Variable Sampling Distribution Distributions to predict knowledge Addition multiiplication expected value Distributions probabilities? How is a normal distribution used to approximate a to predict E - Use to make judgments about the likelihood of various outcomes Binomial probabilities, binomail distributions, normal approximation for the distribution. combinations Exponents Fractions making tables normal approximation 2.7.A2.E - Use geometric distribution to make and how is it used? judgments about the Poisson likelihood of various Distribution and how outcomes. is it used? How is the Central Limit theorem Applied? Study other distributions including geometric and poisson. Use the Central Limit Theorem and Apply it to non-normal distributions. Exponential function applications use Knowledge of tables, charts, and bar graphs Geometric Poisson mean Confidence Intervals Confidence confidence intervals? intevals around means, proportions, and standard in a based deviations. error size tools Confidence interval hypothesis test? What is statistical significance? Type I and Type II errors? in a based Begin with error types and study hypothesis testing. Work on formulating null and alternative hypotheses for various claims. Examine both one tail and two tail tests. critical values and P-Values. Table use critical value P-value level of significance hypothesis test null hypothesis alternative hypothesis

5 5 of 5 8/11/ :22 AM Inference for a Single Proportion When is it appropriate to comare a mean to a standard or two compare two means? When is a z-test performed rather than a t test? in a based One t and z tests using means and proportions. Two t and z tests using means and proportions. Inference when Variables are Related in hypothesis testing radicals and exponents t-test z-test pooled variance Chi-Square Statistic? Chi Square Test? Chi-Square Test for Goodnes of Fit? Chi-Square Test for Homogeniety? Chi-Square tests and tables will be used for a variety of data sets. Table use Chi--Square Calculations Skills Chi-square Homogeneity Goodness-of-Fit least Squares regression line hypothesis test? When is a Regression slope t-test used? Using a t-test for a regression line hypothesis test. Build a confidence interval for the slope of the least squares regressions line perform a t-test build a confidence interval slope confidence interval Ap Assessment Readiness How is data collected? relevance of to? How are data and statistical testing used to make inferences? Review all topics of the course using Statistical practice tests and testing review exercises. Confidence intervals jargon Topics of Choice This unit will be after the AP Test. Teachers will choose topics of interest to both them and the students. One idea is to have each student research a particular topic of and present it to the class as a final project. Research the topic Organizational Find relevant videos Presentation Find relevant Skills tutorials Create homework assignments Write a topic quiz

Probability and Statistics Curriculum Pacing Guide

Probability and Statistics Curriculum Pacing Guide Unit 1 Terms PS.SPMJ.3 PS.SPMJ.5 Plan and conduct a survey to answer a statistical question. Recognize how the plan addresses sampling technique, randomization, measurement of experimental error and methods