MA 3192: Advanced Placement Statistics

Subject Area

Credits 1

Years

Level

High School

Students study the major concepts and tools for collecting, analyzing, and drawing conclusions from data. This course is taught on the college level and the topics meet the requirements set forth in the syllabus of the College Board. Inferential and diagnostic methods are applied to data, and probability is used to describe confidence intervals.

Prerequisite Courses

MA 3135: Algebra II

MA 3137: Algebra II/Trigonometry

Parent Docs

Advanced Placement Statistics Parent Doc 2021-2022

Storyboard

Essential Questions: How do I become a mathematical problem solver to better understand the world around me? In what ways can I communicate and represent my mathematical thinking?
Title	Are You a Data Detective? *One and Two Variable Data*	What is Good Data? *Surveys and Experiments*	What are the Chances? *Probability*	To Be or Not to Be? *Inference and Applications of Data*
Focus of the Story	How does data shape our perception of the world? Is it really possible to smell Parkinson’s Disease? What does variability have to do with data? Does the way we present our data tell a story? Can that story be misleading? Can you detect the truth within the data? We begin our journey by diving into the data and discovering the stories that they tell.	Does the way data is collected affect its validity? We continue our story with the best, and worst, ways to collect our data. What is the difference between a survey and an experiment? What is bias and how does it affect the validity of our research? Can we ever really prove cause and effect? We will answer these questions and more as we continue our journey.	How does probability affect me in my daily decision making? After losing several rolls of dice in a game, are you “due” for a win? How do they calculate the probability of winning the lottery? What is the probability of getting two positive medical tests in a row if you don’t have the disease? Using probability theory, we can answer all of these questions and more.	What can a sample tell us about the population? We finish our story by looking at inference - using a part of the population to get a picture of what is happening in the entire population. For example, does the latest blood pressure drug really help lower blood pressure? Our story is not complete until we are able to put everything together. Now that we know how to collect good data, we are capable of making good inferences.
Transfer Goals	Explore: Make sense of the world mathematically by asking questions and making connections through inquiry.	Apply: Utilize effective strategies, processes, and tools to model new situations and/or real-world experiences.	Explain: Communicate mathematical thinking by justifying solutions using multiple representations while attending to precision.	Analyze: Investigate, formulate, and construct viable arguments by taking risks, persevering, and thinking flexibly.

Learning Targets

I can effectively analyze and interpret real-world data using statistical techniques, including selecting appropriate methods, employing data visualization, and evaluating reliability and ethical awareness.
I can compare two sets of data and effectively communicate their similarities and differences using comparative language.
I can explore relationships in two-variable categorical or quantitative data sets using graphical and numerical approaches.

I can understand the various experimental designs and sampling methods, and their impact on the validity and reliability of statistical conclusions.
I can describe the various types of bias and their impact on the validity of the results of collected data.

I can describe how probability theory and distributions can help us understand and predict outcomes in different statistical situations.
I can describe the probability for random variables, and how to calculate and interpret probabilities, expected values, and standard deviations associated with random events in various contexts
I can describe how various sampling distributions, like the sampling distribution of means or proportions, impact the interpretation of statistical findings.
I can describe how the standard error of a sampling distribution is related to the standard deviation of a population.

I can understand the main ideas and principles that support statistical inference for means and proportions and apply these concepts to real-life situations, allowing me to analyze and make sense of data effectively in different practical scenarios
I can describe how to appropriately select from among the many different types of tests based on the data and make connections between the appropriate hypothesis and conclusion of each test.
I can use statistical inference for linear regression to determine if a line’s slope is significantly different from zero and interpret the meaning of my findings.

AP Statistics: Assessment Matrix
Title	Unit	Rich Tasks:	Learning Target
	Unit 1: One Variable Data	Can You Smell Parkinson’s Misleading Statistics	I can effectively analyze and interpret real-world data using statistical techniques, including selecting appropriate methods, employing data visualization, and evaluating reliability and ethical awareness.
	Unit 1: One Variable Data	2017 FRQ #4	I can compare two sets of data and effectively communicate their similarities and differences using comparative language.
	Unit 2: Two Variable Data	Barbie bungee M&M Decay 2017 FRQ #1	I can explore relationships in two-variable categorical or quantitative data sets using graphical and numerical approaches.
	Unit 3: Collecting Data	Justin Timberlake Desmos 2006 FRQ Form B #5 2004 FRQ Form B #2	I can understand the various experimental designs and sampling methods, and their impact on the validity and reliability of statistical conclusions.
	Unit 3: Collecting Data	Beyonce 2008 FRQ #2	I can describe the various types of bias and their impact on the validity of the interpretation of the results of collected data.
	Unit 4: Probability, Random Variables and Probability Distributions	2017 FRQ #3 The Last Banana Matching Starbursts	I can describe how probability theory and distributions can help us understand and predict outcomes in different statistical situations.
		2016 FRQ #4 2008 FRQ Form B #5 Green Skittles	I can describe the probability for random variables, and how to calculate and interpret probabilities, expected values, and standard deviations associated with random events in various contexts
	Unit 5: Sampling Distributions	2015 FRQ #6	I can describe how various sampling distributions, like the sampling distribution of means or proportions, impact the interpretation of statistical findings.
	Unit 5: Sampling Distributions	Sampling Dist Puzzle (key)	I can describe how the standard error of a sampling distribution is related to the standard deviation of a population.

Unit 6: Inference for Proportions	2021 FRQ #4 Can you taste the Rainbow?	I can understand the main ideas and principles that support statistical inference for means and proportions and apply these concepts to real-life situations, allowing me to analyze and make sense of data effectively in different practical scenarios
Unit 7: Inference for Means	2009 FRQ Form B #5 Pool Noodle Javelins
Unit 8: Chi-Square Tests	Froot Loops Day 1 and Day 2 2016 FRQ #2	I can describe how to appropriately select from among the following tests: the chi-square test for goodness of fit, the chi-square test for independence, and the chi-square test for homogeneity and make connections between the appropriate hypothesis and conclusion of each test..
Unit 9: Linear Regression Inference	2011 FRQ #5	I can use statistical inference for linear regression to determine if a line’s slope is significantly different from zero and interpret the meaning of my findings.