Download AP Statistics Information

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): Honors Level
Credit (high school only): Yearly 1 Credit
Duration: 1 year
Course Number:
Section 2 – Curriculum Map/Pacing Guide for AP Statistics
Grading Period
Number of Days
1
2
1
2
1
1
1
1
1
1
1
1
2
3
2
2
4
3
4
2
CONTENT
Knowledge / Skills / Concepts
1.1 Analyzing Categorical Data
Identify variables and related vocabulary
Common Core
Standard(s)
7-SP.1
S-ID.5
S-CP.4
A-CED.1 A-SSE.1
A-REI.10 F-IF.6
F-IF.7 F-LE.1
F-LE.5 S-ID.7
S-ID.2
Possible Assignments
Other Related Materials
p. 22: 9 – 13, 19 – 24
p.42: 39 – 42, 48, 49
Use of Graphs on the TI-84
p. 70: 81 – 86, 91, 94
Use of Data on TI-84
p.105: 1-8, 12 - 19
TI- 84 Graphing Utilities
A-REI.2
A-REI.3
F-IF.5
p.131: 44 – 50, 55-64
Normal Curve Applet
3.1Scatterplots and Correlation
Explanatory and Response Variables
Scatterplots on the calculator
Association and Correlation
S-ID.1
S-ID.6
S-ID.8
S-ID.9
p.158: 3, 4, 6, 10 – 16
TI-84 Graphing Utilities
Online Correlation Applet
3.2 Least Squares Regression
Interpreting a regression line
Interpolation and Extrapolation
Residuals and Standard deviation of the residuals
Outliers
F-BF.1
S-ID.3
S-ID.4
p. 191: 35 – 42, 47 – 54,
59
TI-84 Graphing Utilities
4.1 Sampling and Surveys
Population and sample
Sampling techniques
Coverage and undercoverage
Sampling errors and non-response
S-IC.3
p.226: 1 – 12, 13 – 20, 24
- 28
4.2 Experiments
Observational studies
Experiments
Experimental vocabulary
Randomized Design
A-CED.1
p. 253: 45 – 50, 55 – 61,
71- 73, 82 - 90
4.3 Using studies wisely
Inference and causation
Data Ethics
Bias
S-IC.6
1.2 Displaying Data with Graphs
Describe distributions
Basic Graphs and interpret data from observed patterns
1.3 Describing Quantitative Data with Numbers
Four Measures of Center
5 number summary, IQR,
Choosing appropriate measure of center
2.1 Describing location in a distribution
Position: Percentiles, Deciles, Quartiles
z-scores
Density Curves
2.2 Normal Distributions
Normal Curve
Standard Normal
Relationship between z-score and distribution
Assessing Normality
S-ID.3
p. 269: 102 - 111
2
2
2
2
2
3
3
3
2
2
2
3
2
2
2
1
2
2
3
3
2
1
3
2
3
2
5.1 Randomness, Probability, and Simulation
Probability vocabulary
Simulation exercises
5.2 Probability Rules
Sample Space
Probability vocabulary
Use of Venn diagrams
A-CED.2 S-CP.7
S-MD.5 S-MD.6
S-MD.7
A-CED.3 A.APR.5
S-MD.6 S-CP.7
p. 293: 1 – 6, 11 – 18, 21,
27, 28
Online Probability Applet
p. 309: 39, 41 – 44, 51,
52, 55, 56
Manipulatives
5.3 Conditional Probability and Independence
Conditional
Independent Events
Multiplication rule
A-CED.2
S-CP.1
S-CP.3
S-CP.6
p. 329: 63 – 68, 73 – 82,
93 - 95
A-CED.4
S-CP.2
S-CP.5
G-CP.8
S-MD.1 S-MD.2
S-MD.4 S-MD.5
p. 353: 1, 4 – 7, 15 – 20,
29, 30
6.2 Transforming and combining random variables
Linear Transformations
Combining random variables
Variance and mean of differences
F-BF.3
p. 378: 37 – 40, 43 – 48,
52 - 57
6.3Binomial and Geometric random variables
Binominal settings
Binomial distributions and coefficients
Mean and standard deviation of a binomial
Geometric random variables
S-IC.4
p. 403: 71 – 73, 80 – 85,
88, 89, 94, 95
7.1 What is a sampling distribution?
Parameters and statistics
Variability and estimators
S-IC.4
p. 428: 1 – 8, 12, 13, 16 18
7.2 Sample Proportions
Sample distributions of p hat and sample proportions
Normal approximations
S-IC.4
p. 439: 27 – 30, 32 – 38,
43 - 46
7.3 Sample Means
Central Limit Theorem
S-IC.4
p. 454: 49 – 54, 60 - 62
8.1 Confidence Intervals
Point estimates
Confidence intervals
S-IC.4
p. 481: 1 -5, 7, 9, 10, 16 22
8.2 Estimating a population proportion
Confidence intervals for p
Standard error
Sample size for desired margin of error
S-IC.4
p. 496: 29 – 33, 44 - 47
TI-84 Utilities
8.3 Estimating a population mean
One population z-interval
Choosing sample size
t-distributions
Constructing a confidence interval for mu
Robust procedures
S-IC.4
p. 518: 55 – 59, 62, 65 69
TI-84 Utilities
9.1 Significance Tests: The Basics
Null and alternate hypothesis
p-values
one and two-sided alternative hypothesis
S-IC.1
S-IC.2
S-IC.5
p. 546: 1 – 10, 14 – 18, 20
– 23, 27
TI-84 Utilities
6.1Discrete and Continuous Random Variables
Random Variables and Variance
Continuous Random Variables
TI-84 Graphing Utilities
TI-84 Graphing Utilities
Online Central Limit Applet
Statistical significance
Type I and II errors
3
3
3
3
3
3
2
2
3
3
2
2
4
3
4
2
9.2 Tests about a Population Proportion
Carrying out a significance test
Test statistic
One sample z-test
Two sided test
Relation to confidence intervals
S-IC.1
S-IC.2
S-IC.5
p.562: 33, 34, 41 – 46, 48
TI-84 Utilities
9.3 Tests about a Population Mean
Carrying out a significance test on the mean
One sample t-test
Two sided tests and confidence intervals
S-IC.1
S-IC.2
S-IC.5
p. 587: 64 – 66, 68, 73 77
TI-84 Utilities
10.1 Comparing two proportions
Sampling distributions of a difference between 2 proportions
Two sample z interval for a difference between 2 proportions
Significance tests for two samples
Inference for experiments
S-IC.1
S-IC.2
S-IC.5
p. 621: 1 – 4, 7 -12, 14,
18, 19
TI-84 Utilities
10.2 Comparing Two Means
Sampling distribution of a difference between 2 means
Two sample t statistic
Confidence intervals
Two sample t-test
Using Two-sample t procedures wisely
S-IC.1
S-IC.2
S-IC.5
p.652: 35, 36, 39, 41, 46 –
50
TI-84 Utilities
11.1 Chi-Square Goodness of Fit tests
Chi-squared statistic
p-values
Carrying out a test
S-IC.1
S-IC.2
S-IC.5
p.692: 1, 2, 7 – 14, 17
TI-84 Utilities
11.2 Inference for Relationships
Comparing Distributions of a categorical value
Expected Counts
Chi-squared test for homogeneity
Relationships between two categorical values
Chi-squared test for association/independence
S-IC.1
S-IC.2
S-IC.5
p.724: 27, 28, 33, 34, 37 –
40
TI-84 Utilities
12.1 Inference for Linear Regression
Sampling distribution for b
Conditions for regression inference
Constructing a confidence interval for the slope
Performing significance test for the slope
F-BF.4
F-BF.5
p.759: 2 – 4, 7, 10, 11, 12,
17
12.2 Transforming to Achieve Linearlity
Transforming with powers and roots
Transforming with logarithms
F-IF.1
F-IF.7
F-CE.5
p.786: 31, 35, 36, 38, 40
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
The Practice of Statistics ATE (Teacher’s Edition)
Teachers Solution Manual
Printed Test Bank
Titanium Resouce Binder
Activities and Projects for Introductory Statistics
Courses
Consumable Student Resources:
Title
None
Edition
Copyright
2nd
Edition
Copyright
Software: (All software must be pre-approved by the IT Department.)
Title
Edition
Copyright
Fathom Statistical Software
Enhanced Teacher’s Resource CD
Examview Assessment Suite
Equipment:
Name
Graphing Calculators
Model #
TI-84 Plus
ISBN
Publisher
Key Curriculum Press
W. H. Freeman and Company
W. H. Freeman and Company
School
Normal Community
1-4292-6254-0
1-4292-6256-7
Vendor
D&H Distributing
ISBN
1-4292-8768-3
Task Force Information
Date Approved by the Board of Education:
Starting Date of New Curriculum:
ISBN
1-4292-6258-3
1-4292-6261-3
1-4292-6257-5
1-4292-6259-1
0-7167-6544-6
Publisher
Manufacturer
Texas Instruments
Videos/DVD:
Title
Statistics Video Toolkit
Member
Scott Froelich
Publisher
W. H. Freeman and Company
W. H. Freeman and Company
W. H. Freeman and Company
W. H. Freeman and Company
W. H. Freeman and Company