Grading Period
McLean County Unit District No. 5
CURRICULUM GUIDE
(Sections 1-3)
Section 1 – Course Description Book Information
Course Title: Advanced Placement Statistics
Course Description: ADVANCED PLACEMENT STATISTICS
(Yearly 1 Credit) (11,12) (AP Level)
Prerequisite: “B” or higher in Honors Algebra 2; or “A” in Algebra 2. Prior enrollment in MAT 842 (Probability & Statistics) is not required but may be beneficial.
Advanced Placement Statistics is a course designed to cover the topics of a first year college statistics course. Topics that will be covered include examining distributions of data through the use of graphs, tables, and formulas, planning and conducting surveys and/or experiments, exploring probability concepts, studying sampling distributions, and exploring inferences, confidence intervals, and tests of significance. Students enrolled in this course are encouraged to take the Advanced Placement examination in Statistics in May at their own expense. On the basis of this examination, a student’s college will determine how much credit in college mathematics the student will receive. A graphing calculator is required.
Course Goal / Rationale: This course provides another challenging course to those students who have begun taking Algebra or Geometry at the junior high level and would like to earn possible college credit while at the same time completing high school mathematics courses.
Grade Level(s): 11,12
Prerequisite(s): Grade of A, B in Honors Algebra 2, A in Algebra 2
Course Weight (high school only):
Credit (high school only):
Duration: 1 year
Course Number:
Section 2 – Curriculum Map/Pacing Guide for AP Statistics
|Grading Period |Number of Days |CONTENT |Common Core |Possible Assignments |Other Related Materials |
| | |Knowledge / Skills / Concepts |Standard(s) | | |
|1 |2 |1.2 Displaying Data with Graphs |A-CED.1 A-SSE.1 |p.42: 39 – 42, 48, 49 |Use of Graphs on the TI-84 |
| | |Describe distributions |A-REI.10 F-IF.6 | | |
| | |Basic Graphs and interpret data from observed patterns |F-IF.7 F-LE.1 | | |
| | | |F-LE.5 S-ID.7 | | |
|1 |2 |1.3 Describing Quantitative Data with Numbers |S-ID.2 |p. 70: 81 – 86, 91, 94 |Use of Data on TI-84 |
| | |Four Measures of Center | | | |
| | |5 number summary, IQR, | | | |
| | |Choosing appropriate measure of center | | | |
|1 |3 |2.1 Describing location in a distribution |S-ID.3 |p.105: 1-8, 12 - 19 |TI- 84 Graphing Utilities |
| | |Position: Percentiles, Deciles, Quartiles | | | |
| | |z-scores | | | |
| | |Density Curves | | | |
|1 |2 |2.2 Normal Distributions |A-REI.2 |p.131: 44 – 50, 55-64 |Normal Curve Applet |
| | |Normal Curve |A-REI.3 | | |
| | |Standard Normal |F-IF.5 | | |
| | |Relationship between z-score and distribution | | | |
| | |Assessing Normality | | | |
|1 |2 |3.1Scatterplots and Correlation |S-ID.1 |p.158: 3, 4, 6, 10 – 16 |TI-84 Graphing Utilities |
| | |Explanatory and Response Variables |S-ID.6 | |Online Correlation Applet |
| | |Scatterplots on the calculator |S-ID.8 | | |
| | |Association and Correlation |S-ID.9 | | |
|1 |4 |3.2 Least Squares Regression |F-BF.1 |p. 191: 35 – 42, 47 – 54, |TI-84 Graphing Utilities |
| | |Interpreting a regression line |S-ID.3 |59 | |
| | |Interpolation and Extrapolation |S-ID.4 | | |
| | |Residuals and Standard deviation of the residuals | | | |
| | |Outliers | | | |
|1 |3 |4.1 Sampling and Surveys |S-IC.3 |p.226: 1 – 12, 13 – 20, 24 | |
| | |Population and sample | |- 28 | |
| | |Sampling techniques | | | |
| | |Coverage and undercoverage | | | |
| | |Sampling errors and non-response | | | |
|1 |4 |4.2 Experiments |A-CED.1 |p. 253: 45 – 50, 55 – 61, | |
| | |Observational studies | |71- 73, 82 - 90 | |
| | |Experiments | | | |
| | |Experimental vocabulary | | | |
| | |Randomized Design | | | |
|1 |2 |4.3 Using studies wisely |S-IC.6 |p. 269: 102 - 111 | |
| | |Inference and causation | | | |
| | |Data Ethics | | | |
| | |Bias | | | |
|2 |3 |5.1 Randomness, Probability, and Simulation |A-CED.2 S-CP.7 |p. 293: 1 – 6, 11 – 18, 21,|Online Probability Applet |
| | |Probability vocabulary |S-MD.5 S-MD.6 |27, 28 | |
| | |Simulation exercises |S-MD.7 | | |
|2 |3 |5.2 Probability Rules |A-CED.3 A.APR.5 |p. 309: 39, 41 – 44, 51, |Manipulatives |
| | |Sample Space |S-MD.6 S-CP.7 |52, 55, 56 | |
| | |Probability vocabulary | | | |
| | |Use of Venn diagrams | | | |
|2 |3 |5.3 Conditional Probability and Independence |A-CED.2 A-CED.4 |p. 329: 63 – 68, 73 – 82, | |
| | |Conditional |S-CP.1 S-CP.2 |93 - 95 | |
| | |Independent Events |S-CP.3 S-CP.5 | | |
| | |Multiplication rule |S-CP.6 G-CP.8 | | |
|2 |2 |6.1Discrete and Continuous Random Variables |S-MD.1 S-MD.2 |p. 353: 1, 4 – 7, 15 – 20, |TI-84 Graphing Utilities |
| | |Random Variables and Variance |S-MD.4 S-MD.5 |29, 30 | |
| | |Continuous Random Variables | | | |
|2 |2 |6.2 Transforming and combining random variables |F-BF.3 |p. 378: 37 – 40, 43 – 48, | |
| | |Linear Transformations | |52 - 57 | |
| | |Combining random variables | | | |
| | |Variance and mean of differences | | | |
|2 |3 |6.3Binomial and Geometric random variables |S-IC.4 |p. 403: 71 – 73, 80 – 85, |TI-84 Graphing Utilities |
| | |Binominal settings | |88, 89, 94, 95 | |
| | |Binomial distributions and coefficients | | | |
| | |Mean and standard deviation of a binomial | | | |
| | |Geometric random variables | | | |
|2 |2 |7.1 What is a sampling distribution? |S-IC.4 |p. 428: 1 – 8, 12, 13, 16 -| |
| | |Parameters and statistics | |18 | |
| | |Variability and estimators | | | |
|2 |1 |7.2 Sample Proportions |S-IC.4 |p. 439: 27 – 30, 32 – 38, | |
| | |Sample distributions of p hat and sample proportions | |43 - 46 | |
| | |Normal approximations | | | |
|2 |2 |7.3 Sample Means |S-IC.4 |p. 454: 49 – 54, 60 - 62 |Online Central Limit Applet |
| | |Central Limit Theorem | | | |
|3 |2 |8.1 Confidence Intervals |S-IC.4 |p. 481: 1 -5, 7, 9, 10, 16 | |
| | |Point estimates | |- 22 | |
| | |Confidence intervals | | | |
|3 |1 |8.2 Estimating a population proportion |S-IC.4 |p. 496: 29 – 33, 44 - 47 |TI-84 Utilities |
| | |Confidence intervals for p | | | |
| | |Standard error | | | |
| | |Sample size for desired margin of error | | | |
|3 |2 |8.3 Estimating a population mean |S-IC.4 |p. 518: 55 – 59, 62, 65 - |TI-84 Utilities |
| | |One population z-interval | |69 | |
| | |Choosing sample size | | | |
| | |t-distributions | | | |
| | |Constructing a confidence interval for mu | | | |
| | |Robust procedures | | | |
|3 |2 |9.1 Significance Tests: The Basics |S-IC.1 |p. 546: 1 – 10, 14 – 18, 20|TI-84 Utilities |
| | |Null and alternate hypothesis |S-IC.2 |– 23, 27 | |
| | |p-values |S-IC.5 | | |
| | |one and two-sided alternative hypothesis | | | |
| | |Statistical significance | | | |
| | |Type I and II errors | | | |
|3 |2 |9.2 Tests about a Population Proportion |S-IC.1 |p.562: 33, 34, 41 – 46, 48 |TI-84 Utilities |
| | |Carrying out a significance test |S-IC.2 | | |
| | |Test statistic |S-IC.5 | | |
| | |One sample z-test | | | |
| | |Two sided test | | | |
| | |Relation to confidence intervals | | | |
|3 |2 |9.3 Tests about a Population Mean |S-IC.1 |p. 587: 64 – 66, 68, 73 - |TI-84 Utilities |
| | |Carrying out a significance test on the mean |S-IC.2 |77 | |
| | |One sample t-test |S-IC.5 | | |
| | |Two sided tests and confidence intervals | | | |
|3 |3 |10.1 Comparing two proportions |S-IC.1 |p. 621: 1 – 4, 7 -12, 14, |TI-84 Utilities |
| | |Sampling distributions of a difference between 2 proportions |S-IC.2 |18, 19 | |
| | |Two sample z interval for a difference between 2 proportions |S-IC.5 | | |
| | |Significance tests for two samples | | | |
| | |Inference for experiments | | | |
|3 |3 |10.2 Comparing Two Means |S-IC.1 |p.652: 35, 36, 39, 41, 46 –|TI-84 Utilities |
| | |Sampling distribution of a difference between 2 means |S-IC.2 |50 | |
| | |Two sample t statistic |S-IC.5 | | |
| | |Confidence intervals | | | |
| | |Two sample t-test | | | |
| | |Using Two-sample t procedures wisely | | | |
|3 |2 |11.1 Chi-Square Goodness of Fit tests |S-IC.1 |p.692: 1, 2, 7 – 14, 17 |TI-84 Utilities |
| | |Chi-squared statistic |S-IC.2 | | |
| | |p-values |S-IC.5 | | |
| | |Carrying out a test | | | |
|3 |2 |11.2 Inference for Relationships |S-IC.1 |p.724: 27, 28, 33, 34, 37 –|TI-84 Utilities |
| | |Comparing Distributions of a categorical value |S-IC.2 |40 | |
| | |Expected Counts |S-IC.5 | | |
| | |Chi-squared test for homogeneity | | | |
| | |Relationships between two categorical values | | | |
| | |Chi-squared test for association/independence | | | |
|4 |3 |12.1 Inference for Linear Regression |F-BF.4 |p.759: 2 – 4, 7, 10, 11, | |
| | |Sampling distribution for b |F-BF.5 |12, 17 | |
| | |Conditions for regression inference | | | |
| | |Constructing a confidence interval for the slope | | | |
| | |Performing significance test for the slope | | | |
|4 |2 |12.2 Transforming to Achieve Linearlity |F-IF.1 |p.786: 31, 35, 36, 38, 40 | |
| | |Transforming with powers and roots |F-IF.7 | | |
| | |Transforming with logarithms |F-CE.5 | | |
Each unit has five flex days built in. These are to be used for a review day, quiz, review day, end of unit assessment, AP practice problem day.
Section 3 – Materials Information Course Title: AP Statistics
Instructional Materials
Textbook:
|Title |Edition |Copyright |Publisher |ISBN |
|The Practice of Statistics |Fourth |2011 |W. H. Freeman and Company |1-4292-4559-X |
|The Fathom Guide for TPS 4e | | |W. H. Freeman and Company |1-4292-6262-1 |
|Prep for AP Exam Guide | | |W. H. Freeman and Company |1-4292-6263-X |
The Fathom guide and Prep for AP Exam could be purchased as a classroom set for each building rather than for each student.
Teacher Resources:
|Title |Edition |Copyright |Publisher |ISBN |
|The Practice of Statistics ATE (Teacher’s Edition) | | |W. H. Freeman and Company |1-4292-6258-3 |
|Teachers Solution Manual | | |W. H. Freeman and Company |1-4292-6261-3 |
|Printed Test Bank | | |W. H. Freeman and Company |1-4292-6257-5 |
|Titanium Resouce Binder | | |W. H. Freeman and Company |1-4292-6259-1 |
|Activities and Projects for Introductory Statistics Courses |2nd | |W. H. Freeman and Company |0-7167-6544-6 |
Consumable Student Resources:
|Title |Edition |Copyright |Publisher |ISBN |
|None | | | | |
Software: (All software must be pre-approved by the IT Department.)
|Title |Edition |Copyright |Publisher |
|Fathom Statistical Software | | |Key Curriculum Press |
|Enhanced Teacher’s Resource CD | | |W. H. Freeman and Company |1-4292-6254-0 |
|Examview Assessment Suite | | |W. H. Freeman and Company |1-4292-6256-7 |
Equipment:
|Name |Model # |Manufacturer |Vendor |
|Graphing Calculators |TI-84 Plus |Texas Instruments |D&H Distributing |
Videos/DVD:
|Title |ISBN |
|Statistics Video Toolkit |1-4292-8768-3 |
Task Force Information
|Member |School |
|Scott Froelich |Normal Community |
Date Approved by the Board of Education:
Starting Date of New Curriculum:
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