SUN PRAIRIE AREA SCHOOL DISTRICT
COURSE POWER STANDARDS
Course Title:
(AP) Statistics
Curriculum Area: Mathematics
Credit Status:
Elective
Course Length:
Year
Date submitted:
5/04
Expected Student Results/Power Standards
At the end of the course the student will be expected to:
1. Interpret information from graphical and numerical displays and summaries to observe
patterns and departures from patterns. (A.12.1, A.12.2, A.12.3, A.12.4, A.12.5, A.12.6, B.12.2,
B.12.3, B.12.5, C.12.1, C.12.2, C.12.4, E.12.1, E.12.2, E.12.3, E.12.4, F.12.1, F.12.2, F.12.3,
F.12.4)
2. Explore and implement well developed data collection plans to gather valid information on a
conjecture. (A.12.1, A.12.2, A.12.3, A.12.4, A.12.5, A.12.6, B.12.5, B.12.6, E.12.1, E.12.4,
E.12.5)
3. Generate and analyze models using probability theory and simulation to determine what the
distribution of data should look under a given model. (A.12.1, A.12.2, A.12.3, A.12.4, A.12.5,
A.12.6, B.12.1, B.12.3, B.12.4, B.12.5, B.12.6, C.12.1, C.12.2, D.12.3, E.12.1, E.12.3, E.12.4,
E.12.5, F.12.1, F.12.2, F.12.3, F.12.4)
4. Select and apply appropriate models of statistical inferential to generalize from sample
statistics to population parameters. (A.12.1, A.12.2, A.12.3, A.12.4, A.12.5, A.12.6, B.12.2,
B.12.3, B.12.4, B.12.5, B.12.6, C.12.1, C.12.2, D.12.1, D.12.2, E.12.1, E.12.2, E.12.3, E.12.4,
E.12.5, F.12.1, F.12.2, F.12.3, F.12.4)
5. Apply a variety of problem solving strategies and communicate the process used to reach the
solution. (A.12.1, A.12.2, A.12.3, A.12.4, A.12.5, A.12.6, B.12.5, F.12.4)
6. Demonstrate an understanding of how mathematical ideas interconnect and apply to other
learning. (A.12.1, A.12.2, A.12.3, A.12.4, A.12.5, A.12.6, B.12.5, F.12.4)
5/04 – HS
1
Course:
AP Statistics
Power Standard: Interpret information from graphical and numerical displays and
summaries to observe patterns and departures from patterns. (1)
Students will need to know
Students will be able to do
(Content and/or concepts to be learned)
(Skills and/or processes to be learned)
A.
Understand how to summarize univariate
data sets using graphical displays to
observe patterns and departures from
patterns.
1.
Construct and interpret graphical display.
• Bar and pie charts
• Stem and Leaf displays
• Histograms
• Box plots
B.
Understand how to summarize univariate
data sets using measures of center and
measures of variability.
1.
Calculate and interpret measures of
center.
Calculate and interpret measures of
variability.
Calculate and interpret measures of
relative standing.
2.
3.
C. Understand how to summarize and
analyze bivariate data sets.
1.
2.
3.
5/04 – HS
Construct and interpret scatter plots.
Assess the fit of a line by calculating and
interpreting r, r2, and residual plots.
Identify non-linear relationships and
transformations.
2
Course:
AP Statistics
Power Standard: Explore and implement well-developed data collection plans to gather
valid information on a conjecture. (2)
Students will need to know
Students will be able to do
(Content and/or concepts to be learned)
(Skills and/or processes to be learned)
A.
Define different types of sampling
techniques and biases.
•
•
B.
Understand the basic principles and
differences between surveys,
observational studies, and experiments.
•
•
•
•
5/04 – HS
Perform and use simulations to collect data
using the various types of sampling
techniques
Identify the types of sampling bias present
in various sampling contexts.
Design, sample, and report the responses
from a survey.
Collect and interpret information using
relevant sampling methods for
observational studies.
Analyze and set-up experiments following
the key concepts for experimental design.
Identify the strengths and weaknesses of
collecting data with surveys, observational
studies, and experiments.
3
Course:
AP Statistics
Power Standard: Generate and analyze models using probability theory and simulation to
determine what the distribution of data should look under a given model. (3)
Students will need to know
Students will be able to do
(Content and/or concepts to be learned)
(Skills and/or processes to be learned)
A.
Understand the basic properties of
probability.
1.
Use basic properties of probability to
calculate probabilities.
• Venn and tree diagrams
• Independent and disjoint events
• Addition rule
• Multiplication rule
• Conditional probability and Byes
Theorem
• Law of Large Numbers
B.
Identify various probability distributions for
random variables.
1.
Select and apply a variety of probability
distributions to calculate probabilities.
• Discrete and Continuous Distributions
• Normal distribution
• Binomial distribution
• Geometric distribution
• Student-T distribution
C. Explain the Central Limit Theorem and its
relationship to sampling variability and
sampling distributions.
5/04 – HS
•
Apply the Central Limit Theorem to
calculate probabilities based on the
distributions for sample means and
sample proportions.
4
Course:
AP Statistics
Power Standard: Select and apply appropriate models of statistical inference to generalize
from sample statistics to population parameters. (4)
Students will need to know
Students will be able to do
(Content and/or concepts to be learned)
(Skills and/or processes to be learned)
A.
Understand point estimation for
parameters using statistics.
•
Calculate appropriate point estimates for
parameters from samples.
B.
Describe confidence intervals and their
relationship to point estimates.
•
Calculate and interpret the meaning of
confidence intervals for population means
and proportions.
•
Describe Type I and Type II error in
various contexts.
Calculate and interpret p-values.
Select and apply the appropriate model for
inference.
C. Understand the eight-step process for
hypothesis testing.
•
•
D. Identify the correct hypothesis test to be
run.
5/04 – HS
1.
Perform and summarize the conclusions of
hypothesis tests.
• Single sample mean and proportion
hypothesis tests
• Two sample mean and proportion
hypothesis tests
• X2 tests
• Linear Regression and Correlation
related tests
5
Course:
AP Statistics
Power Standard: Apply a variety of problem solving strategies and communicate the
process used to reach the solution. (5)
Students will need to know
Students will be able to do
(Content and/or concepts to be learned)
(Skills and/or processes to be learned)
A.
Identify, adapt, and apply a strategy or
strategies appropriate to solve problems.
B.
Explain, monitor, and reflect on the
process of mathematical problem solving.
1.
Select and use a variety of problem solving
strategies:
• Draw a diagram or graph
• Perform a simulation
• Use an equation or formula
• Look for a pattern
• Solve a simpler problem
• Work backwards
•
•
•
•
5/04 – HS
Provide a reason why they have
chosen to apply a particular skill or
concept.
Check for reasonableness of solutions.
Communicate thinking to others (peers
and teachers).
Use mathematical language in oral,
symbolic, and written communication.
6
Course:
AP Statistics
Power Standard: Demonstrate an understanding of how mathematical ideas interconnect
and apply to other learning. (6)
Students will need to know
Students will be able to do
(Content and/or concepts to be learned)
(Skills and/or processes to be learned)
A.
Understand how statistics is related to
other fields of study.
•
•
B.
Understand how statistics is related to
daily life.
•
•
5/04 – HS
Use statistics to solve various application
problems from other fields of study.
Explain, in the context of other disciplines,
the statistical reasoning required to solve
various application problems.
Describe ways in which statistics will be
useful in their future interests and careers.
Use the statistics they know to solve
problems they encounter in their daily
lives.
7