Radnor High School - Radnor Township School District ...



5082540-139065-64077-138545Radnor High SchoolCourse OverviewStatisticCourse #: 472General InformationCredits: 1Weighted: NonePrerequisite: Advanced Algebra III or TrigonometryLength: Full YearFormat: Meets DailyGrade: 12thCourse DescriptionStatistics is a College Prep course. A College Prep course follows a demanding curriculum prescribed by each department and to help students progress toward meeting the challenges of competitive college work. College Prep courses aim to develop higher-order thinking skills, using appropriate pace and content. Students enrolled in a College Prep course undertake a challenging workload that involves reading, writing, problem solving, and critical thinking; they will continue to develop independence both inside and outside the classroom. Students receive an un-weighted grade in a College Prep course.The major themes of statistics – describing data through graphical and numerical methods, sampling, anticipating patterns and statistical inference - are explored, along with the basic concepts of probability. Common Core StandardsS-ID.1, S-ID.2, S-ID.3, S-ID.4, S-ID.6, S-IC.1, S-IC.2, S-IC.3, S-IC.4, S-IC.5, S-CP.1, S-CP.2, S-CP.3, S-CP.4, S-CP.5, S-CP.6, S-CP.7, S-CP.8, S-CP.9, S-MD.1, S-MD.2, S-MD.3, S-MD.4, S-MD.5, S-MD.6 Keystone ConnectionsMARKING PERIOD ONEUNIT: 1—Introductioin to Statistics(Chapter 1)Student Objectives:At the conclusion of this chapter, students should be able successfully complete the following skills:Identify a population, sample, parameter or statistic.Identify different types of data.Identify different levels of measurementDiscuss and indentify abuses of statistics.Identify different types of experimental designs.Materials & TextsTriola, Mario F. (2002). Essential of Statistics. Evanston, Il: Addison-Wesley.Activities, Assignments, & AssessmentsACTIVITIES1.1Overview1.2The Nature of Data?1.3Uses and Abuses of Statistics1.4Design of Experiments?ASSIGNMENTSAssignment sheets will be distributed periodically throughout the school year. Homework will be assigned on a daily basis. ?Individual assignments for each chapter can be viewed on the Mathematics Department page of Radnor High School’s web site.? ASSESSMENTSHomework will be assigned on a daily basis. Grades will be based on quizzes and tests. In addition, teachers may use homework, group activities, and/or projects for grading purposes. The Radnor High School grading system and scale will be used to determine letter grades.Lesson Assessments/QuizzesChapter TestsTerminologyPopulation, census, sample, parameter, statistic, quantitative, qualitative, discrete, continuous, nominal, ordinal, interval, ratio, self-selected survey, observational study, experiment, placebo effect, experiment, placebo effect, blinding, confounding, random sample, systematic sampling , convenience sampling, stratified sampling, cluster sampling, sampling error, non-sampling error.Media, Technology, Web ResourcesTI-83/84 CalculatorUNIT: 2—Describing , Exploring and Comparing Data (Chapter 2)Student Objectives:At the conclusion of this chapter, students should be able successfully complete the following skills:Construct a complete frequency table from a set of data. Convert a frequency table into a cumulative and or relative frequency table.Construct and interpret (by hand and with calculator) from data and summary statistics graphical displays of data : histogram, frequency polygon, ogive, dotplots, stemplots, pareto charts, pie charts, pute and Interpret: arithmetic mean, median, mode, midrange, standard deviation, range, variance, z-scores, quartiles, percentiles, deciles, outliers using 1.5 IQR method and 5-number summaries .Materials & TextsTriola, Mario F. (2002). Essential of Statistics. Evanston, Il: Addison-Wesley.Activities, Assignments, & AssessmentsACTIVITIES2.2Summarizing Data with Frequency Tables?2.3Pictures of Data2.4 Measures of Center2.5Measures of Variation2.6 Measures of Position2.7 Exploratory Data AnalysisASSIGNMENTSAssignment sheets will be distributed periodically throughout the school year. Homework will be assigned on a daily basis. ?Individual assignments for each chapter can be viewed on the Mathematics Department page of Radnor High School’s web site.? ASSESSMENTSHomework will be assigned on a daily basis. Grades will be based on quizzes and tests. In addition, teachers may use homework, group activities, and/or projects for grading purposes. The Radnor High School grading system and scale will be used to determine letter grades.Lesson Assessments/QuizzesChapter TestsTerminologyDescriptive statistics, inferential statistics, frequency table, class limits, class boundaries, class midpoints, relative frequency, cumulative frequcny, histogram, relative frequency histogram frequency polygon, ogive, dotplot, stemplot, pareto chart, pie charts, mean, median, mode, bimodal, multi-modal, midrange, skewed, symmetric, range, standard deviation, variance, standard score (z-score) quartile, deciles, percentiles, 5 –number summary, boxplotMedia, Technology, Web ResourcesTI-83/84 CalculatorUNIT: 3—Probability (Chapter 3)Student Objectives:At the conclusion of this chapter, students should be able successfully complete the following skills:list a sample spacecompute simple probabilitiesdetermine odds in favor of and against an eventcompute probabilities using the addition rule?compute probabilities using the multiplication ruleidentify independent/dependent events?compute conditional probabilitytest for independence using conditional probabilitycompute probability of "at least one" using conditional probability? Materials & TextsTriola, Mario F. (2002). Essential of Statistics. Evanston, Il: Addison-Wesley.Activities, Assignments, & AssessmentsACTIVITIES3.2Fundamentals of Probability3.3Addition Rule3.4 Multiplication Rule3.5Multiplication Rule: Complements and Conditional Probability3.6 CountingASSIGNMENTSAssignment sheets will be distributed periodically throughout the school year. Homework will be assigned on a daily basis. ?Individual assignments for each chapter can be viewed on the Mathematics Department page of Radnor High School’s web site.? ASSESSMENTSHomework will be assigned on a daily basis. Grades will be based on quizzes and tests. In addition, teachers may use homework, group activities, and/or projects for grading purposes. The Radnor High School grading system and scale will be used to determine letter grades.Lesson Assessments/QuizzesChapter TestsMARKING PERIOD TWOUNIT: 4—Correlation and Regression (Chapter 9)Student Objectives:At the conclusion of this chapter, students should be able successfully complete the following skills:construct and interpret scatterplots based on form, direction, and shape?compute r given datamatch r values with certain graphsinterpret r2?determine least squares regression linepredict (y-hat) using least squares regression lineidentify and interpret influential points and outliers?identify relationships between explanatory/response variables and confounded or affected by another variable?create and interpret residual plotsMaterials & TextsTriola, Mario F. (2002). Essential of Statistics. Evanston, Il: Addison-Wesley.Activities, Assignments, & AssessmentsACTIVITIESASSIGNMENTSAssignment sheets will be distributed periodically throughout the school year. Homework will be assigned on a daily basis. ?Individual assignments for each chapter can be viewed on the Mathematics Department page of Radnor High School’s web site.? ASSESSMENTSHomework will be assigned on a daily basis. Grades will be based on quizzes and tests. In addition, teachers may use homework, group activities, and/or projects for grading purposes. The Radnor High School grading system and scale will be used to determine letter grades.Lesson Assessments/QuizzesChapter TestsTerminologyScatterplot, response variables, explanatory variables, correlation, correlation coefficient (r), r2?least squares regression line, slope, prediction (y-hat), extrapolation, interpolation, influential points, outliers, causation, common response, confounding, lurking variable, residuals, residual plot, Media, Technology, Web ResourcesTI-83/84 CalculatorUNIT: 5—Probability Distributions (Chapter 4)Student Objectives:At the conclusion of this chapter, students should be able successfully complete the following skills:identify discrete and continuous random variablesverify valid probability distributionscreate probability histograms?compute mean of expected value, variance, standard deviation of a probability distributiondetermine if outcomes are "unusual"?determine if an event is binomialcompute probability of binomial events using the formula and technology?Materials & TextsTriola, Mario F. (2002). Essential of Statistics. Evanston, Il: Addison-Wesley.Activities, Assignments, & AssessmentsACTIVITIES4.2Random Variables4.3Binomial Probability Distributions?4.4Mean, Variance and Standard Deviation for the Binomial DistributionASSIGNMENTSAssignment sheets will be distributed periodically throughout the school year. Homework will be assigned on a daily basis. ?Individual assignments for each chapter can be viewed on the Mathematics Department page of Radnor High School’s web site.? ASSESSMENTSHomework will be assigned on a daily basis. Grades will be based on quizzes and tests. In addition, teachers may use homework, group activities, and/or projects for grading purposes. The Radnor High School grading system and scale will be used to determine letter grades.Lesson Assessments/QuizzesChapter TestsTerminologyrandom variable, discrete, continuous, probability distribution, probability histogram, expected value, unusual events, binomial distributionMedia, Technology, Web ResourcesTI-83/84 CalculatorMARKING PERIOD THREEUNIT: 6—Normal Probability Distributions (Chapter 5)Student Objectives:At the conclusion of this chapter, students should be able successfully complete the following skills:compute probability based on a given z-score and directiondetermine a z-score to a corresponding probability?given data and an event, compute probabilities using z-scores and normal distributions?given a percentage of probability, find its corresponding value using z-score and normal distribution?compute standard errorcompute sample meancompute probability of an event using the Central Limit Theoremcompute value using Central Limit Theoremdetermine Rare Event Rule?Materials & TextsTriola, Mario F. (2002). Essential of Statistics. Evanston, Il: Addison-Wesley.Activities, Assignments, & AssessmentsACTIVITIES5.2Standard Normal Distribution 5.3Normal Distribution: Finding Probabilities5.4Normal Distribution: Finding Values 5.5The Central Limit Theorem ASSIGNMENTSAssignment sheets will be distributed periodically throughout the school year. Homework will be assigned on a daily basis. ?Individual assignments for each chapter can be viewed on the Mathematics Department page of Radnor High School’s web site.? ASSESSMENTSHomework will be assigned on a daily basis. Grades will be based on quizzes and tests. In addition, teachers may use homework, group activities, and/or projects for grading purposes. The Radnor High School grading system and scale will be used to determine letter grades.Lesson Assessments/QuizzesChapter TestsTerminology z-score, z-score equation, standard normal distribution, normal distribution, uniform distributiondensity curve, Central Limit Theorem, sampling distribution, standard error, sample mean, rare event rule?Media, Technology, Web ResourcesTI-83/84 CalculatorUNIT: 7—Estimates and Sample Sizes (Chapter 6)Student Objectives:At the conclusion of this chapter, students should be able successfully complete the following skills:determine critical value for a given level of confidencecompute margin of errorcreate confidence intervalfind point estimate and/or margin of error given a confidence intervalinterpret a confidence interval?compare t- and normal distributionscompute sample size for a given situation?compute p-hat given x and yMaterials & TextsTriola, Mario F. (2002). Essential of Statistics. Evanston, Il: Addison-Wesley.Activities, Assignments, & AssessmentsACTIVITIES6.2Estimating Population Mean: Large Samples 6.3Estimating Population Mean: Small Samples6.4Determining Sample Size Required to Estimate Population Mean6.5Estimating Population Proportion ASSIGNMENTSAssignment sheets will be distributed periodically throughout the school year. Homework will be assigned on a daily basis. ?Individual assignments for each chapter can be viewed on the Mathematics Department page of Radnor High School’s web site.? ASSESSMENTSHomework will be assigned on a daily basis. Grades will be based on quizzes and tests. In addition, teachers may use homework, group activities, and/or projects for grading purposes. The Radnor High School grading system and scale will be used to determine letter grades.Lesson Assessments/QuizzesChapter TestsTerminologypoint estimate, unbiased estimation, confidence interval, margin of error, critical value, student's t-distribution, degrees of freedom, define sample proportion (p-hat)Media, Technology, Web ResourcesTI-83/84 CalculatorUNIT: 8—Hypothesis Testing (Chapter 7)Student Objectives:At the conclusion of this chapter, students should be able successfully complete the following skills:write null and alternative hypotheses from a claimcompute a test statisticstate conclusions from a testidentify Type I and Type II errors?test claims using the p-value method?Materials & TextsTriola, Mario F. (2002). Essential of Statistics. Evanston, Il: Addison-Wesley.Activities, Assignments, & AssessmentsACTIVITIES7.2Fundamentals of Hypothesis Testing 7.3Testing a Claim about a Mean: Large Samples ASSIGNMENTSAssignment sheets will be distributed periodically throughout the school year. Homework will be assigned on a daily basis. ?Individual assignments for each chapter can be viewed on the Mathematics Department page of Radnor High School’s web site.? ASSESSMENTSHomework will be assigned on a daily basis. Grades will be based on quizzes and tests. In addition, teachers may use homework, group activities, and/or projects for grading purposes. The Radnor High School grading system and scale will be used to determine letter grades.Lesson Assessments/QuizzesChapter TestsTerminologyHypothesis, null hypothesis, alternative hypothesis, test statistic, left-, right-, and two-tailed testType I and Type II errors, p-value?Media, Technology, Web ResourcesTI-83/84 CalculatorMARKING PERIOD FOURUNIT: 8—Hypothesis Testing (Chapter 7) - ContinuedStudent Objectives:At the conclusion of this chapter, students should be able successfully complete the following skills:write null and alternative hypotheses from a claimcompute a test statisticstate conclusions from a testidentify Type I and Type II errors?test claims using the p-value methoddetermine the appropriate method to test claims using the p-value method??Materials & TextsTriola, Mario F. (2002). Essential of Statistics. Evanston, Il: Addison-Wesley.Activities, Assignments, & AssessmentsACTIVITIES7.4 Testing a Claim about a Mean: Small Samples7.5 Testing a Claim about a ProportionASSIGNMENTSAssignment sheets will be distributed periodically throughout the school year. Homework will be assigned on a daily basis. ?Individual assignments for each chapter can be viewed on the Mathematics Department page of Radnor High School’s web site.? ASSESSMENTSHomework will be assigned on a daily basis. Grades will be based on quizzes and tests. In addition, teachers may use homework, group activities, and/or projects for grading purposes. The Radnor High School grading system and scale will be used to determine letter grades.Lesson Assessments/QuizzesChapter TestsTerminologyHypothesis, null hypothesis, alternative hypothesis, test statistic, left-, right-, and two-tailed testType I and Type II errors, p-value?Media, Technology, Web ResourcesTI-83/84 CalculatorUNIT: 9—Inference about Two Means (Chapter 8) Student Objectives:At the conclusion of this chapter, students should be able successfully complete the following skills:write null and alternative hypotheses from a claimcompute a test statisticstate conclusions from a testidentify Type I and Type II errors?test claims using the p-value methoddetermine the appropriate method to test claims using the p-value method??Materials & TextsTriola, Mario F. (2002). Essential of Statistics. Evanston, Il: Addison-Wesley.Activities, Assignments, & AssessmentsACTIVITIES8.2 Inference about Two Means: Large Samples8.3Inference about Two Means: Matched Pairs 8.4Inference about Two Proportions ASSIGNMENTSAssignment sheets will be distributed periodically throughout the school year. Homework will be assigned on a daily basis. ?Individual assignments for each chapter can be viewed on the Mathematics Department page of Radnor High School’s web site.? ASSESSMENTSHomework will be assigned on a daily basis. Grades will be based on quizzes and tests. In addition, teachers may use homework, group activities, and/or projects for grading purposes. The Radnor High School grading system and scale will be used to determine letter grades.Lesson Assessments/QuizzesChapter TestsTerminologyMatched pairs.Media, Technology, Web ResourcesTI-83/84 CalculatorUNIT: 10—Chi- Square (Chapter 10) Student Objectives:At the conclusion of this chapter, students should be able successfully complete the following skills:compute observed and expected valuescompute Chi-square statistic valueperform goodness-of-fit test?perform test of independenceMaterials & TextsTriola, Mario F. (2002). Essential of Statistics. Evanston, Il: Addison-Wesley.Activities, Assignments, & AssessmentsACTIVITIES10.2 Multinomial Experiments: Goodness-of-Fit10.3Contingency Tables: Independence and Homogeneity ASSIGNMENTSAssignment sheets will be distributed periodically throughout the school year. Homework will be assigned on a daily basis. ?Individual assignments for each chapter can be viewed on the Mathematics Department page of Radnor High School’s web site.? ASSESSMENTSHomework will be assigned on a daily basis. Grades will be based on quizzes and tests. In addition, teachers may use homework, group activities, and/or projects for grading purposes. The Radnor High School grading system and scale will be used to determine letter grades.Lesson Assessments/QuizzesChapter TestsTerminologyChi square test statistic, goodness-of-fit test, observed value, expected?value, tests of independence, tests of homogeneityMedia, Technology, Web ResourcesTI-83/84 Calculator ................
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