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ROSE TREE MEDIA SCHOOL DISTRICT COURSE CURRICULUM COURSE TITLE: AP STATISTICS GRADE LEVEL: GRADE 12 CREATION DATE: November 2003 Essential Question, Concept or Theme: A. Introduction / Definition of Statistics PA Standards: 2.6.11.E, 2.6.11.G, 2.6.11.H Benchmark/Skills Define statistics Describe how to collect, organize, analyze, and interpret information. Discover fields of study where knowledge of statistics are essential. AP Statistics – Grade 12 Approx. Time Allotment: Aligned Materials/ Resources/Technology Assessment At least one major test and / or one to two quizzes per unit will be used as a minimum. Final Examination Other forms of assessment may include but not limited to: homework, class work, spreadsheet activities and projects, reading assignments, written papers, teacher observation of students’ work, group activities, board work, etc. Page 1 Understandable Statistics, (7th edition) – Brase / Brase, Houghton Mifflin 2003. Teacher resource materials associated with the text. TI 83 Plus Graphing Calculator with overhead view screen. Microsoft Excel for spreadsheet activites. Videos. Instructional Strategies Instructional strategies by the teacher will include: lecture, demonstration, review, Excel activities, and graphing calculator activities. Optional strategies may include but are not limited to: videos, discovery-learning, group work, jigsaw, or any variety of classroom activities as suggested by the Professional Development Coordinator. -1- November 2003 Essential Question, Concept or Theme: A. Introduction / Definition of Statistics PA Standards: Adaptations/Inclusion Techniques Adaptations for students with special instructional needs will be met in accordance with each student’s Individual Educational Plan. Adaptations may include extended time on tests and assignments (not more than twice the given amount), preferential seating, after school help, or modified homework assignments. AP Statistics – Grade 12 Enrichment Strategies Approx. Time Allotment: Remediation Strategies Students may choose to After school help sessions are prepare for the AP available as pre-arranged by the examination. Students student and teacher. can access previous AP exam questions on the AP website. This website includes the questions and answers as well as an explanation to the scores given for sample responses. Page 2 Multicultural/Interdisciplinary Connection Statistics lends itself to have many connections with Physics, Chemistry, medicine, marketing, advertising, etc . There is however, no formal interdisciplinary curriculum at this time. -2- November 2003 Essential Question, Concept or Theme: B. Organizing Data PA Standards: 2.6.11.B Approx. Time Allotment: Aligned Materials/ Resources/Technology Benchmark/Skills Assessment Use information from a sample to draw conclusions about a population. Construct a random sample using a random number table. Determine which type of graph is appropriate for specific data. Construct and Interpret data presented in various graphs such as bar graphs, pictograms, circle graphs, pareto charts and time plots. Construct and Interpret data presented in histograms and frequency tables. Construct and Analyze data using stem-and-leaf plots. At least one major test and / or one to two quizzes per unit will be used as a minimum. Final Examination Other forms of assessment may include but not limited to: homework, class work, spreadsheet activities and projects, reading assignments, written papers, teacher observation of students’ work, group activities, board work, etc. AP Statistics – Grade 12 Page 3 Understandable Statistics, (7th edition) – Brase / Brase, Houghton Mifflin 2003. Teacher resource materials associated with the text. TI 83 Plus Graphing Calculator with overhead view screen. Microsoft Excel for spreadsheet activites. Videos. Instructional Strategies Instructional strategies by the teacher will include: lecture, demonstration, review, Excel activities, and graphing calculator activities. Optional strategies may include but are not limited to: videos, discovery-learning, group work, jigsaw, or any variety of classroom activities as suggested by the Professional Development Coordinator. -3- November 2003 Essential Question, Concept or Theme: B. Organizing Data PA Standards: 2.6.11.B Adaptations/Inclusion Techniques Approx. Time Allotment: Enrichment Strategies Adaptations for students with special instructional needs will be met in accordance with each student’s Individual Educational Plan. Students may choose to prepare for the AP examination. Students can access previous AP exam Adaptations may include extended time on tests and questions on the AP assignments (not more than twice the given amount), website. This website preferential seating, after school help, or modified includes the questions and homework assignments. answers as well as an explanation to the scores given for sample responses. AP Statistics – Grade 12 Page 4 Remediation Strategies After school help sessions are available as prearranged by the student and teacher. Multicultural/Interdisciplinary Connection Statistics lends itself to have many connections with Physics, Chemistry, medicine, marketing, advertising, etc . There is however, no formal interdisciplinary curriculum at this time. -4- November 2003 Essential Question, Concept or Theme: C. Averages and Variation PA Standards: 2.6.11.A, 2.6.11.B Aligned Materials/ Resources/Technology Benchmark/Skills Assessment Summarize numerical data using mean, median, mode, range, variance, and standard deviation. Determine mean and standard deviation of grouped data. Compute weighted averages and discuss their applications. Interpret pecentile scores. Compute the five-number summary from raw data. Construct and interpret box and whisker plots of data. At least one major test and / or one to two quizzes per unit will be used as a minimum. Final Examination Other forms of assessment may include but not limited to: homework, class work, spreadsheet activities and projects, reading assignments, written papers, teacher observation of students’ work, group activities, board work, etc. AP Statistics – Grade 12 Approx. Time Allotment: Page 5 Understandable Statistics, (7th edition) – Brase / Brase, Houghton Mifflin 2003. Teacher resource materials associated with the text. TI 83 Plus Graphing Calculator with overhead view screen. Microsoft Excel for spreadsheet activites. Videos. Instructional Strategies Instructional strategies by the teacher will include: lecture, demonstration, review, Excel activities, and graphing calculator activities. Optional strategies may include but are not limited to: videos, discovery-learning, group work, jigsaw, or any variety of classroom activities as suggested by the Professional Development Coordinator. -5- November 2003 Essential Question, Concept or Theme: C. Averages and Variation PA Standards: 2.6.11.A, 2.6.11.B Approx. Time Allotment: Adaptations/Inclusion Techniques Enrichment Strategies Remediation Strategies Adaptations for students with special instructional needs will be met in accordance with each student’s Individual Educational Plan. Students may choose to prepare for the AP examination. Students can access previous AP exam questions on the AP website. This website includes the questions and answers as well as an explanation to the scores given for sample responses. After school help sessions are available as pre-arranged by the student and teacher. Adaptations may include extended time on tests and assignments (not more than twice the given amount), preferential seating, after school help, or modified homework assignments. AP Statistics – Grade 12 Page 6 Multicultural/Interdisciplinary Connection Statistics lends itself to have many connections with Physics, Chemistry, medicine, marketing, advertising, etc . There is however, no formal interdisciplinary curriculum at this time. -6- November 2003 Essential Question, Concept or Theme: D. Elementary Probability Theories PA Standards: 2.7.11.B, 2.7.11.E Aligned Materials/ Resources/Technology Benchmark/Skills Assessment Define probablility, statistical experiments, and sample space. Explain how the law of large numbers relates to relative frequencies. Solve probabilities of independent and dependent events, mutually exclusive and inclusive events, conditional and compound probabilities. Create tree diagrams to illustrate the fundamental counting principle. Use Venn Diagrams to illustrate inclusive events. (optional) At least one major test and / or one to two quizzes per unit will be used as a minimum. Final Examination Other forms of assessment may include but not limited to: homework, class work, spreadsheet activities and projects, reading assignments, written papers, teacher observation of students’ work, group activities, board work, etc. AP Statistics – Grade 12 Approx. Time Allotment: Page 7 Understandable Statistics, (7th edition) – Brase / Brase, Houghton Mifflin 2003. Teacher resource materials associated with the text. TI 83 Plus Graphing Calculator with overhead view screen. Microsoft Excel for spreadsheet activites. Videos. Instructional Strategies Instructional strategies by the teacher will include: lecture, demonstration, review, Excel activities, and graphing calculator activities. Optional strategies may include but are not limited to: videos, discovery-learning, group work, jigsaw, or any variety of classroom activities as suggested by the Professional Development Coordinator. -7- November 2003 Essential Question, Concept or Theme: D. Elementary Probability Theories PA Standards: 2.7.11.B, 2.7.11.E Approx. Time Allotment: Adaptations/Inclusion Techniques Enrichment Strategies Remediation Strategies Adaptations for students with special instructional needs will be met in accordance with each student’s Individual Educational Plan. Students may choose to prepare for the AP examination. Students can access previous AP exam questions on the AP website. This website includes the questions and answers as well as an explanation to the scores given for sample responses. After school help sessions are available as prearranged by the student and teacher. Adaptations may include extended time on tests and assignments (not more than twice the given amount), preferential seating, after school help, or modified homework assignments. AP Statistics – Grade 12 Page 8 Multicultural/Interdisciplinary Connection Statistics lends itself to have many connections with Physics, Chemistry, medicine, marketing, advertising, etc . There is however, no formal interdisciplinary curriculum at this time. -8- November 2003 Essential Question, Concept or Theme: E. Binomial Probability Distribution PA Standards: 2.7.11.C, 2.7.11.D Aligned Materials/ Resources/Technology Benchmark/Skills Assessment Examine discrete probability distributions. Calculate the expected value and standard deviation for these probability distributions. Use the Binomial Theorem to calculate the probability of binomial experiments. Graph binomial distributions. Use Geometric distributions to compute probabilities. Use Poisson distributions to compute probabilities. At least one major test and / or one to two quizzes per unit will be used as a minimum. Final Examination Other forms of assessment may include but not limited to: homework, class work, spreadsheet activities and projects, reading assignments, written papers, teacher observation of students’ work, group activities, board work, etc. AP Statistics – Grade 12 Approx. Time Allotment: Page 9 Understandable Statistics, (7th edition) – Brase / Brase, Houghton Mifflin 2003. Teacher resource materials associated with the text. TI 83 Plus Graphing Calculator with overhead view screen. Microsoft Excel for spreadsheet activites. Videos. Instructional Strategies Instructional strategies by the teacher will include: lecture, demonstration, review, Excel activities, and graphing calculator activities. Optional strategies may include but are not limited to: videos, discovery-learning, group work, jigsaw, or any variety of classroom activities as suggested by the Professional Development Coordinator. -9- November 2003 Essential Question, Concept or Theme: E. Binomial Probability Distribution PA Standards: 2.7.11.C, 2.7.11.D Approx. Time Allotment: Adaptations/Inclusion Techniques Enrichment Strategies Remediation Strategies Adaptations for students with special instructional needs will be met in accordance with each student’s Individual Educational Plan. Students may choose to prepare for the AP examination. Students can access previous AP exam questions on the AP website. This website includes the questions and answers as well as an explanation to the scores given for sample responses. After school help sessions are available as prearranged by the student and teacher. Adaptations may include extended time on tests and assignments (not more than twice the given amount), preferential seating, after school help, or modified homework assignments. AP Statistics – Grade 12 Page 10 Multicultural/Interdisciplinary Connection Statistics lends itself to have many connections with Physics, Chemistry, medicine, marketing, advertising, etc . There is however, no formal interdisciplinary curriculum at this time. - 10 - November 2003 Essential Question, Concept or Theme: F. Normal Distributions PA Standards: 2.6.11.I Approx. Time Allotment: Aligned Materials/ Resources/Technology Benchmark/Skills Assessment Analyze the normal distribution curve and its applications in real life situations. Use control limits to construct control charts. Determine Type I, II and III errors and possible “out of control” factors. Use the normal distribution curve to convert “x” values into “z” scores and vise versa. Compute the mean and standard deviation for the normal approximation. Graph a standard distribution curve and find area under this curve. At least one major test and / or one to two quizzes per unit will be used as a minimum. Final Examination Other forms of assessment may include but not limited to: homework, class work, spreadsheet activities and projects, reading assignments, written papers, teacher observation of students’ work, group activities, board work, etc. AP Statistics – Grade 12 Page 11 Understandable Statistics, (7th edition) – Brase / Brase, Houghton Mifflin 2003. Teacher resource materials associated with the text. TI 83 Plus Graphing Calculator with overhead view screen. Microsoft Excel for spreadsheet activites. Videos. Instructional Strategies Instructional strategies by the teacher will include: lecture, demonstration, review, Excel activities, and graphing calculator activities. Optional strategies may include but are not limited to: videos, discovery-learning, group work, jigsaw, or any variety of classroom activities as suggested by the Professional Development Coordinator. - 11 - November 2003 Essential Question, Concept or Theme: F. Normal Distributions PA Standards: 2.6.11.I Approx. Time Allotment: Adaptations/Inclusion Techniques Enrichment Strategies Remediation Strategies Adaptations for students with special instructional needs will be met in accordance with each student’s Individual Educational Plan. Students may choose to prepare for the AP examination. Students can access previous AP exam questions on the AP website. This website includes the questions and answers as well as an explanation to the scores given for sample responses. After school help sessions are available as prearranged by the student and teacher. Adaptations may include extended time on tests and assignments (not more than twice the given amount), preferential seating, after school help, or modified homework assignments. AP Statistics – Grade 12 Page 12 Multicultural/Interdisciplinary Connection Statistics lends itself to have many connections with Physics, Chemistry, medicine, marketing, advertising, etc . There is however, no formal interdisciplinary curriculum at this time. - 12 - November 2003 Essential Question, Concept or Theme: G. Sampling Distributions PA Standards: 2.6.11.A Aligned Materials/ Resources/Technology Benchmark/Skills Assessment Construct relative frequency distribution for x values and compare the result to a theoretical sampling distribution. Use sample estimates for large samples to construct a sampling distribution. Use the Central Limit Theorem to generalize any distribution as the sample size increases in size. Compute the mean and standard deviation for proportions. Construct and interpret P-Charts At least one major test and / or one to two quizzes per unit will be used as a minimum. Final Examination Other forms of assessment may include but not limited to: homework, class work, spreadsheet activities and projects, reading assignments, written papers, teacher observation of students’ work, group activities, board work, etc. AP Statistics – Grade 12 Approx. Time Allotment: Page 13 Understandable Statistics, (7th edition) – Brase / Brase, Houghton Mifflin 2003. Teacher resource materials associated with the text. TI 83 Plus Graphing Calculator with overhead view screen. Microsoft Excel for spreadsheet activites. Videos. Instructional Strategies Instructional strategies by the teacher will include: lecture, demonstration, review, Excel activities, and graphing calculator activities. Optional strategies may include but are not limited to: videos, discovery-learning, group work, jigsaw, or any variety of classroom activities as suggested by the Professional Development Coordinator. - 13 - November 2003 Essential Question, Concept or Theme: G. Sampling Distributions PA Standards: 2.6.11.A Approx. Time Allotment: Adaptations/Inclusion Techniques Enrichment Strategies Remediation Strategies Adaptations for students with special instructional needs will be met in accordance with each student’s Individual Educational Plan. Students may choose to prepare for the AP examination. Students can access previous AP exam questions on the AP website. This website includes the questions and answers as well as an explanation to the scores given for sample responses. After school help sessions are available as prearranged by the student and teacher. Adaptations may include extended time on tests and assignments (not more than twice the given amount), preferential seating, after school help, or modified homework assignments. AP Statistics – Grade 12 Page 14 Multicultural/Interdisciplinary Connection Statistics lends itself to have many connections with Physics, Chemistry, medicine, marketing, advertising, etc . There is however, no formal interdisciplinary curriculum at this time. - 14 - November 2003 Essential Question, Concept or Theme: H. Estimation with Large and Small Distributions PA Standards: 2.6.11.F, 2.6.11.H Aligned Materials/ Benchmark/Skills Assessment Resources/Technology Define confidence level, error of estimate, and critical values. Find critical values for a given confidence level. Find critical values using the degrees of freedom and confidence intervals. Estimate with small samples. Compute the maximal error tolerance for proportions using a given level of confidence. Interpret poll results and the margin of error. AP Statistics – Grade 12 At least one major test and / or one to two quizzes per unit will be used as a minimum. Final Examination Other forms of assessment may include but not limited to: homework, class work, spreadsheet activities and projects, reading assignments, written papers, teacher observation of students’ work, group activities, board work, etc. Page 15 Understandable Statistics, (7th edition) – Brase / Brase, Houghton Mifflin 2003. Teacher resource materials associated with the text. TI 83 Plus Graphing Calculator with overhead view screen. Microsoft Excel for spreadsheet activites. Videos. Approx. Time Allotment: Instructional Strategies Instructional strategies by the teacher will include: lecture, demonstration, review, Excel activities, and graphing calculator activities. Optional strategies may include but are not limited to: videos, discovery-learning, group work, jigsaw, or any variety of classroom activities as suggested by the Professional Development Coordinator. - 15 - November 2003 Essential Question, Concept or Theme: H. Estimation with Large and Small Distributions PA Standards: 2.6.11.F, 2.6.11.H Adaptations/Inclusion Techniques Enrichment Strategies Remediation Strategies Adaptations for students with special instructional needs will be met in accordance with each student’s Individual Educational Plan. Students may choose to prepare for the AP examination. Students can access previous AP exam questions on the AP website. This website includes the questions and answers as well as an explanation to the scores given for sample responses. After school help sessions are available as prearranged by the student and teacher. Adaptations may include extended time on tests and assignments (not more than twice the given amount), preferential seating, after school help, or modified homework assignments. AP Statistics – Grade 12 Page 16 Approx. Time Allotment: Multicultural/Interdisciplinary Connection Statistics lends itself to have many connections with Physics, Chemistry, medicine, marketing, advertising, etc . There is however, no formal interdisciplinary curriculum at this time. - 16 - November 2003 Essential Question, Concept or Theme: I. Hypothesis Testing PA Standards: 2.6.11.E Approx. Time Allotment: Aligned Materials/ Resources/Technology Benchmark/Skills Assessment Identify the null and alternate hypotheses in a statistical test. Recognize types of errors, level of significance, and power of a test. Use hypotheses to identify an appropriate critical region. Determine whether to accept or reject the null hypothesis. Determine whether outcomes are statistically significant. Identify the P-value for a statistical test Compute P-values for large and small samples. Draw conclusions based on P-values. Identify components needed for testing a proportion. Identify paired data and depended samples. Determine advantages of paired data tests. Identify independent samples and sampling distributions. At least one major test and / or one to two quizzes per unit will be used as a minimum. Final Examination Other forms of assessment may include but not limited to: homework, class work, spreadsheet activities and projects, reading assignments, written papers, teacher observation of students’ work, group activities, board work, etc. AP Statistics – Grade 12 Page 17 Understandable Statistics, (7th edition) – Brase / Brase, Houghton Mifflin 2003. Teacher resource materials associated with the text. TI 83 Plus Graphing Calculator with overhead view screen. Microsoft Excel for spreadsheet activites. Videos. Instructional Strategies Instructional strategies by the teacher will include: lecture, demonstration, review, Excel activities, and graphing calculator activities. Optional strategies may include but are not limited to: videos, discovery-learning, group work, jigsaw, or any variety of classroom activities as suggested by the Professional Development Coordinator. - 17 - November 2003 Essential Question, Concept or Theme: I. Hypothesis Testing PA Standards: 2.6.11.E Approx. Time Allotment: Adaptations/Inclusion Techniques Enrichment Strategies Remediation Strategies Adaptations for students with special instructional needs will be met in accordance with each student’s Individual Educational Plan. Students may choose to prepare for the AP examination. Students can access previous AP exam questions on the AP website. This website includes the questions and answers as well as an explanation to the scores given for sample responses. After school help sessions are available as prearranged by the student and teacher. Adaptations may include extended time on tests and assignments (not more than twice the given amount), preferential seating, after school help, or modified homework assignments. AP Statistics – Grade 12 Page 18 Multicultural/Interdisciplinary Connection Statistics lends itself to have many connections with Physics, Chemistry, medicine, marketing, advertising, etc . There is however, no formal interdisciplinary curriculum at this time. - 18 - November 2003 Essential Question, Concept or Theme: J. Regression and Correlation PA Standards: 2.6.11.C, 2.6.11.D, 2.6.11.E Benchmark/Skills Analyze paired data using scatterplots. Estimate the strength of correlation using regression lines. Estimate standard of error and confidence bounds. Calculate the Pearson product moment/movement correlation coefficient and the coefficient of determination. Determine the significance of the correlation. AP Statistics – Grade 12 Approx. Time Allotment: Aligned Materials/ Resources/Technology Assessment At least one major test and / or one to two quizzes per unit will be used as a minimum. Final Examination Other forms of assessment may include but not limited to: homework, class work, spreadsheet activities and projects, reading assignments, written papers, teacher observation of students’ work, group activities, board work, etc. Page 19 Understandable Statistics, (7th edition) – Brase / Brase, Houghton Mifflin 2003. Teacher resource materials associated with the text. TI 83 Plus Graphing Calculator with overhead view screen. Microsoft Excel for spreadsheet activites. Videos. Instructional Strategies Instructional strategies by the teacher will include: lecture, demonstration, review, Excel activities, and graphing calculator activities. Optional strategies may include but are not limited to: videos, discovery-learning, group work, jigsaw, or any variety of classroom activities as suggested by the Professional Development Coordinator. - 19 - November 2003 Essential Question, Concept or Theme: J. Regression and Correlation PA Standards: 2.6.11.C, 2.6.11.D, 2.6.11.E Approx. Time Allotment: Adaptations/Inclusion Techniques Enrichment Strategies Remediation Strategies Adaptations for students with special instructional needs will be met in accordance with each student’s Individual Educational Plan. Students may choose to prepare for the AP examination. Students can access previous AP exam questions on the AP website. This website includes the questions and answers as well as an explanation to the scores given for sample responses. After school help sessions are available as prearranged by the student and teacher. Adaptations may include extended time on tests and assignments (not more than twice the given amount), preferential seating, after school help, or modified homework assignments. AP Statistics – Grade 12 Page 20 Multicultural/Interdisciplinary Connection Statistics lends itself to have many connections with Physics, Chemistry, medicine, marketing, advertising, etc . There is however, no formal interdisciplinary curriculum at this time. - 20 - November 2003 Essential Question, Concept or Theme: K. Chi-Square Distributions PA Standards: 2.6.11.F Benchmark/Skills Set up tests to investigate independence of random variables. Use contingency tables to compute the sample x2 statistic. Compute the test and estimate the Pvalue. Determine the strength of the given distribution compared to a sample distribution. Compute the x2 statistics given observed and expected frequencies. AP Statistics – Grade 12 Approx. Time Allotment: Aligned Materials/ Resources/Technology Assessment At least one major test and / or one to two quizzes per unit will be used as a minimum. Final Examination Other forms of assessment may include but not limited to: homework, class work, spreadsheet activities and projects, reading assignments, written papers, teacher observation of students’ work, group activities, board work, etc. Page 21 Understandable Statistics, (7th edition) – Brase / Brase, Houghton Mifflin 2003. Teacher resource materials associated with the text. TI 83 Plus Graphing Calculator with overhead view screen. Microsoft Excel for spreadsheet activites. Videos. Instructional Strategies Instructional strategies by the teacher will include: lecture, demonstration, review, Excel activities, and graphing calculator activities. Optional strategies may include but are not limited to: videos, discovery-learning, group work, jigsaw, or any variety of classroom activities as suggested by the Professional Development Coordinator. - 21 - November 2003 Essential Question, Concept or Theme: K. Chi-Square Distributions PA Standards: 2.6.11.F Approx. Time Allotment: Adaptations/Inclusion Techniques Enrichment Strategies Remediation Strategies Adaptations for students with special instructional needs will be met in accordance with each student’s Individual Educational Plan. Students may choose to prepare for the AP examination. Students can access previous AP exam questions on the AP website. This website includes the questions and answers as well as an explanation to the scores given for sample responses. After school help sessions are available as prearranged by the student and teacher. Adaptations may include extended time on tests and assignments (not more than twice the given amount), preferential seating, after school help, or modified homework assignments. AP Statistics – Grade 12 Page 22 Multicultural/Interdisciplinary Connection Statistics lends itself to have many connections with Physics, Chemistry, medicine, marketing, advertising, etc . There is however, no formal interdisciplinary curriculum at this time. - 22 - November 2003