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Syllabus Title:
AP Statistics
Syllabus Description:

What do genetics, weather forecasting, emergency preparedness, political campaigns, and medical studies all have in common? The answer is statistics. Statistics is the mathematical science of gathering, grouping, and interpreting numerical data. And in this day and age, there’s a lot of data to make sense of. We’re going to help you get the statistical know-how to turn an intimidating Everest-sized mountain of numerical data points into a simple answer. Students are required to have access to a graphing scientific calculator. Prerequisites: Successful completion of Algebra I required. Algebra II is recommended. Concurrent enrollment in Algebra II is acceptable.

Collection Semester:
SEMESTER 1
New Unit Collection:
Unit 1: Describing Distributions with Graphs for Univariate Data
New Unit Content:
• Pie Charts and Bar Charts
• Describing Graphs
• Dotplots
• Stemplots
• Comparing Graphs
• Histograms
• Ogives
• Calculator Lesson: Graphing Univariate Graphs
Unit 2: Describing Distributions with Numbers (Statistics)
New Unit Content:
• Measures of Center
• Measures of Spread Part 1
• Measures of Spread Part 2
• Outliers
• Box and Whisker Plots
• Comparing Distributions Again
• Boxplot/Histogram Exploration
Unit 3: Density Curves
New Unit Content:
• Uniform Density Curves
• Funky Figures
• Mean vs Median
Unit 4: Normal Distributions
New Unit Content:
• Standardization (z-scores)
• What is a Normal Curve?
• Empirical Rule
• z-scores Revisited
• More Normal Distribution
• Is the Data Normal?
• Calculator Lesson: normalcdf and invNorm
Unit 5: Scatterplots and Correlation
New Unit Content:
• Scatterplots
• Correlation
Unit 6: Least Squares Regression
New Unit Content:
• What is an LSRL?
• Interpreting Slope and y-intercept
• Finding and Interpreting the Correlation Coefficient (r)
• More Ways to Find the LSRL
• More Ways to Find the LSRL Part 2
Unit 7: Predicting, Residuals and r^2
New Unit Content:
• Predicting and Residuals
• Coefficient of Determination (r^2)
• Linear Regression: Putting It Together
• Residual Plots
Unit 8: Transforming Non-Linear Data
New Unit Content:
• Exponential Data
• Power Data
• Residual Plots Revisited
Unit 9: Sampling and Bias
New Unit Content:
• Types of Bias
• Good Samples = Random Samples
• Using Random Numbers for Sampling
Unit 10: Experiments
New Unit Content:
• Key Terms in Experimental Design
• Completely Randomized Design
• Block Design
• Matched Pairs
Unit 11: Simulation
New Unit Content:
• Simulation
• Simulation Practice
Unit 12: General Probability Rules
New Unit Content:
• Key Terms and Ideas
• Formulas on the AP Exam
Unit 13: Independent and Disjoint Events
New Unit Content:
• Disjoint Events
• Independent Events
• Venn Diagrams
Unit 14: Two-Ways Tables and Conditional Probability
New Unit Content:
• Two Way Tables
• Conditional Probability
• Independence Revisited
Unit 15: Discrete Random Variables
New Unit Content:
• Probability Distributions for Random Variables
• Mean and Standard Deviation of Discrete Random Variables
• Rules for Means
• Rules for Variances
Unit 16: Binomial Distributions
New Unit Content:
• Binomial Distribution Part 1
• Binomial Distribution Part 2
• Mean and Standard Deviation of Binomial Distributions
Unit 17: Geometric Distributions
New Unit Content:
• Geometric Distribution Part 1
• Geometric Distribution Part 2
• Mean of Geometric Distributions
• Binomial, Geometric and Normal Exploration
SEMESTER 2
New Unit Collection:
Unit 18: Continuous Random Variables
New Unit Content:
• Introduction
• Funky Figures Revisited
• Normal Distribution Review
Unit 19: Sampling Distributions - Means
New Unit Content:
• Overview of Sampling Distributions
• Sampling Distribution for x-bar
• Central Limit Theorem
Unit 20: Sampling Distributions - Proportions
New Unit Content:
• Sampling Distribution for p-hat
• Conditions for Inference - Proportions
• Review
Unit 21: Confidence Intervals for a Mean - the z-interval
New Unit Content:
• Introduction
• Structure of a Confidence Interval
• Confidence Interval for a Single Mean (z-interval)
• Practice with Confidence Intervals for a Single Mean (z-interval)
Unit 22: Confidence Intervals for a Mean - the t-interval
New Unit Content:
• What is a t-distribution?
• Confidence Interval for a Single Mean (t-interval)
• Matched Pairs t-interval
• Calculator Lesson: t-interval
Unit 23: Confidence Intervals for One Proportion - the 1-proportion z-interval
New Unit Content:
• Confidence Interval for Single Proportion (1-proportion z-interval)
• Calculator Lesson: 1-proportion z-interval
• Confidence Level and Finding n
• Review
Unit 24: Significance Tests - the Structure
New Unit Content:
• Introduction
• Structure of a Test Part 1
• Structure of a Test Part 2
Unit 25: Significance Test for a Single Mean - the t-test
New Unit Content:
• One Sample t-test for Means (The Mechanics)
• One Sample t-test for Means (Complete Test)
• Calculator Lesson: One Sample t-test for Means
• One Sample t-test for Means (Matched Pairs)
Unit 26: Significance Test for One Proportion - the 1-proportion z-test
New Unit Content:
• One Sample z-test for Proportions (The Mechanics)
• One Sample z-test for Proportions (Complete Test)
• Calculator Lesson: One Sample z-test for Proportions
Unit 27: Errors and Power
New Unit Content:
• Significance Level and Overview of Errors
• Type I and Type II Errors
• Power
• Review
• Hypothesis Tests and Confidence Intervals
Unit 28: Two-Sample Inference for Two Independent Samples - Mean
New Unit Content:
• Introduction
• Two-Sample t-interval for Means
• Calculator Lesson: Two-sample t-interval
• Two-Sample t-test for Means
• Calculator Lesson: Two-Sample t-test for Means
Unit 29: Two -Sample Inference for Two Independent Samples - Proportion
New Unit Content:
• Two-Sample z-interval for Proportions
• Calculator Lesson: Two-Sample z-interval for Proportions
• Two-Sample z-test for Proportions
• Calculator Lesson: Two-Sample z-test for Proportions
• Review
Unit 30: Chi-Square Goodness of Fit Test
New Unit Content:
• Introduction
• Chi-Square Goodness of Fit Test - The Components
• Chi-Square Goodness of Fit Test - The Complete Test
• Calculator Lesson: Chi-Square Goodness of Fit Test
Unit 31: Chi-Square Test for Independence and Homogeneity
New Unit Content:
• Review of Two-Way Tables
• Chi-Square Test for Independence - The Components
• Chi-Square Test for Independence - The Complete Test
• Calculator Lesson: Chi-Square Test for Independence
• Review
Unit 32: Confidence Interval for Slope
New Unit Content:
• Introduction
• Review of Linear Regression
• Conditions for Inference for Slope
• Linear Regression t-interval
• Calculator Lesson: Linear Regression t-interval