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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:
New Semester Heading:
SEMESTER 1
New Unit Collection:
New Unit Heading:
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
New Unit Heading:
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
New Unit Heading:
Unit 3: Density Curves
New Unit Content:
• Uniform Density Curves
• Funky Figures
• Mean vs Median
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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
New Unit Heading:
Unit 5: Scatterplots and Correlation
New Unit Content:
• Scatterplots
• Correlation
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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
New Unit Heading:
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
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Unit 8: Transforming Non-Linear Data
New Unit Content:
• Exponential Data
• Power Data
• Residual Plots Revisited
New Unit Heading:
Unit 9: Sampling and Bias
New Unit Content:
• Bad Samples
• Types of Bias
• Good Samples = Random Samples
• Using Random Numbers for Sampling
New Unit Heading:
Unit 10: Experiments
New Unit Content:
• Key Terms in Experimental Design
• Completely Randomized Design
• Block Design
• Matched Pairs
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Unit 11: Simulation
New Unit Content:
• Simulation
• Simulation Practice
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Unit 12: General Probability Rules
New Unit Content:
• Key Terms and Ideas
• Formulas on the AP Exam
New Unit Heading:
Unit 13: Independent and Disjoint Events
New Unit Content:
• Disjoint Events
• Independent Events
• Venn Diagrams
New Unit Heading:
Unit 14: Two-Ways Tables and Conditional Probability
New Unit Content:
• Two Way Tables
• Conditional Probability
• Independence Revisited
New Unit Heading:
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
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Unit 16: Binomial Distributions
New Unit Content:
• Binomial Distribution Part 1
• Binomial Distribution Part 2
• Mean and Standard Deviation of Binomial Distributions
New Unit Heading:
Unit 17: Geometric Distributions
New Unit Content:
• Geometric Distribution Part 1
• Geometric Distribution Part 2
• Mean of Geometric Distributions
• Binomial, Geometric and Normal Exploration
New Semester Heading:
SEMESTER 2
New Unit Collection:
New Unit Heading:
Unit 18: Continuous Random Variables
New Unit Content:
• Introduction
• Funky Figures Revisited
• Normal Distribution Review
New Unit Heading:
Unit 19: Sampling Distributions - Means
New Unit Content:
• Overview of Sampling Distributions
• Sampling Distribution for x-bar
• Central Limit Theorem
New Unit Heading:
Unit 20: Sampling Distributions - Proportions
New Unit Content:
• Sampling Distribution for p-hat
• Conditions for Inference - Proportions
• Review
New Unit Heading:
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)
New Unit Heading:
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
New Unit Heading:
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
New Unit Heading:
Unit 24: Significance Tests - the Structure
New Unit Content:
• Introduction
• Structure of a Test Part 1
• Structure of a Test Part 2
New Unit Heading:
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)
New Unit Heading:
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
New Unit Heading:
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
New Unit Heading:
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
New Unit Heading:
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
New Unit Heading:
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
New Unit Heading:
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
New Unit Heading:
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
New Unit Heading:
Unit 33: Hypothesis Test for Slope
New Unit Content:
• Linear Regression t-test for a Slope - The Components
• Linear Regression t-test for a Slope - The Complete Test
• Calculator Lesson: Linear Regression t-test for a Slope
• Review