Download Algebra I Syllabus

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

Document related concepts

History of statistics wikipedia , lookup

Foundations of statistics wikipedia , lookup

Statistics wikipedia , lookup

Transcript
AP Statistics Syllabus
Mrs. Amanda Harrison
I. General Information
Room Number: 2410
School Phone: (281) 641-7794
Email: [email protected]
Tutorial Times: Mondays 3:00 – 3:30, Tuesdays 3:00 – 3:30, and Wednesdays (Make-up and
Reassessment Only) 3:00 – 4:00. Morning tutoring by appointment.
II. Supplies
Materials: Notes (Paper), Pencil, Statistics Notebook or folder, textbook.
Calculators: TI-84 Plus calculators will be provided to each student for use. These calculators cannot be
checked out of the classroom. Students are encouraged to purchase their own calculator to become
comfortable with before the AP exam. Students will be allowed to use TI-83s, TI-84s, TI-84 Plus’, TI-89s,
and TI-Inspires on the AP exam. However, I will be modeling problems in class with a TI-84 Plus. Their
textbook has directions on using a TI-89, as well.
III. Classroom Expectations, Rules, and Consequences
SCHOOL RULES SAY:
SCHOOL RULES SAY:
***Although AHS is a BYOD campus now, it is the Teacher’s choice if their classroom is a Green Zone. My class will be
a red zone unless otherwise stated. If you are caught with any electronic device on your person during a quiz or test, you
will receive a zero for the assignment and will not be allowed to make it up. ***
***Only bottled water is allowed in the classroom.***
Class Rules:
1.
2.
3.
4.
5.
Be respectful to faculty/staff, the teacher, your peers, and yourself.
Be positive and participate in class.
Bring materials to class (pencil/pen, paper, notes, etc.).
Follow directions the first time given.
Be proactive in your behavior and work.
Consequences:
1. Redirection of behavior
2. Teacher / student conference
**(Possible teacher-issued d-hall)
3. Parent / guardian contact
4. Referral to Principal
**If classroom rules are broken or classroom disruption occurs due to your behavior, you will be assigned a 30
minute teacher detention before or after school. Failure to attend teacher detention will result in a referral to
your principal and a further consequence will be assigned. All campus rules are subject to immediate principal
referrals.
Expections:
 Warm-Ups: Read the agenda on the board/screen. Noise level is silent. Warm-ups are to be done
independently.
 Turning in Homework: Have homework out on desk ready to turn in at the beginning of class. If turned
in after the beginning of class, the homework will be considered late.
 Class Work: Everyone is expected to work on class work. You will be expected to have your book in
order to do classwork. Show your work! Class work can be used as a study tool later. Turn in class
work at the teacher’s desk before you leave class that day.
 Group and Lab work: Do not make any negative comments when you are assigned to your group. Be
respectful and encouraging to your peers. You should only be talking to the members of your group and





only about the project or activity. Each person should be actively involved with the project. You can ask
questions and get help once your group has discussed the solution.
Quiz Time: You MUST use pencil on quizzes. Quizzes are to be worked on independently. I want to
know what YOU know, not what your neighbor knows. Turn in when finished and remain quiet until
THE TEACHER says everyone is finished.
TESTS: You MUST use pencil on tests. Place your binders, bags, backpacks, purses, etc. at the front of
the classroom. Turn test in when finished and remain quiet until THE TEACHER says everyone is
finished. If you are knowingly going to be absent, please make arrangements to take the test early, as
soon as possible. If you are unable to schedule a date, you will be advised to take the make-up exam. If
you miss a test for any reason, you will have ONE week to make‐up the exam. Specific circumstances
will be addressed in an individual manner. Unfortunately due to time constraints, there will not be an
opportunity for reassessment for missed or absent exams.
Calculator Use: Respect the calculators. It is a privilege that you get to use them. Do not write or press
on the calculator screen. Do not take out the batteries. Please inform the teacher if the calculator will
not turn on. Do not peel the stickers or tape off of the calculator. The calculators are not to leave the
classroom. Calculators are to be put away before you leave class. Place your calculator in the
designated slot. (They are numbered.)
Restroom: Per school rules, students may not use the restroom during the first or last 10 minutes of
class. You cannot use the restroom during lessons. If you need to go to the restroom, raise your hand
and ask politely.
Completing Homework: Before you start, put your name on your homework. Write the original
problem down. Show all work. Indicate what the answer is (box it, circle it, etc.). Number problems.
IV. Grading Policy
Formative Assessments: Academic Practice, Daily Grades, Exit tickets, Labs and Quizzes = 25%
Summative Assessments: Tests & Projects = 75%





Assignments will be checked and graded periodically. Answers only will NOT be acceptable. DO NOT
COPY work from another student. This will result in a ZERO and disciplinary action. Homework may
be used on warm-ups and quizzes so it is important that you show your work.
Reading: It is essential that you read the textbook. Any time I assign practice problems, you should
also read the relevant section. Your book has more examples than I have time to do in class, and can
often be helpful as a different way to present the material. In college you will often be assessed on parts
of the book not mentioned in lecture, so it is important to begin honing your skills at reading math
textbooks!
Practice Problems: The only way to really learn statistics is to practice it! You will have problems
assigned daily that must be completed before the next class meeting, when we will check them together.
Tests: Like the AP Exam, your tests will be made up of both multiple choice and free response
questions.
Projects and Labs: Our course material gives ample opportunity for labs and projects. Often they will
take place in class, but sometimes are assigned for home. For any group project you are expected to be
an active participant, and should be prepared to reflect on and communicate the results of the activity
yourself.
V. How to be Successful in a Math Class
 Attend class every day
 Follow class procedures, expectations and school rules
 Do assignments on the day it’s assigned
 Attend tutorials when absent or for extra help
 Keep an organized notebook or folder
 Check your class status on Home Access Center (HAC) regularly
 Use the on-line resources and tutorial videos when you need extra help
VI. Helpful links


AP Stats Monkey
College Board
We are going to make this school year a great one!
Mrs. Harrison
Course Objectives
Upon completion of the coursework, exam, and final project, it is expected that students will be proficient in the
following areas:
 Statistical Concepts: Describe the four major conceptual themes of statistics: Describing Data,
Producing Data, Anticipating Patterns, and Statistical Inference.
 Statistical Skills: Produce convincing oral and written statistical arguments, using appropriate
terminology in a variety of applied settings. Know when and how to use technology as an aid in solving
statistical problems
 Statistical Knowledge: Employ techniques for producing data (surveys, experiments, observational
studies, simulations), analyzing data (graphical & numerical summaries), modeling data (probability,
random variables, sampling distributions), and drawing conclusions from data (inference procedures –
confidence intervals and significance tests).
 Statistical Habits of Mind: Become critical consumers of published statistical results by heightening
awareness of ways in which statistics can be improperly used to mislead, confuse, or distort the truth.
Course Outline
This is a rough schedule of what you can expect during the course. Exact placement and number of quizzes
and/or tests is subject to change.
FALL SEMESTER:
Chapter 5: Producing Data
 Vocabulary Terms
 Observational study vs. experiment
 Designing samples
 Simple random samples
 Stratified, multistage, block sampling
designs
 Sampling cautions – bias, under-coverage,
non-response, confounding variables
 Using the random digit table to sample
 Designing comparative experiments
 Control groups and randomization
 Treatment, observations, analysis
 Blind and double-blind experiments
Quiz
 Simulating experiments using the TI-83
 Review and AP questions
Test – Chapter 5
Chapter 1: Exploring Data
 Vocabulary terms
 Creating and interpreting bar charts,
dotplots, histograms, time plots, stem-andleaf plots, box and whisker plots
 Describing overall patterns of distributions
and/or graphs using shape, center, spread,
and outliers
Quiz
 Using the five number summary and
quartiles
 Measuring spread using standard deviation
 Review and AP exam questions
Test – Chapter 1
Chapter 2: Normal Distributions
 Vocabulary terms
 Density curves
 Mean and median of distributions
 Normal curves
 68-95-99.7 rule of thumb for approximating
percentiles in a normal distribution
Quiz
 Standardizing observations and using zscores
 Assessing normality
 Review and AP exam questions
Test – Chapter 2
Chapter 3: Examining Relationships
 Vocabulary terms
 Graphing and describing scatterplots using
form, direction, strength, and outliers
 Finding and interpreting the correlation
coefficient
Quiz
 Finding the least squares regression line
 Interpreting the slope and intercept of the
LSRL
 Graphing and using residual plots
 Understanding the coefficient of
determination
 Influential observations
 Review and AP exam questions
Test – Chapter 3
Chapter 4: More on Two-Variable Data
 Vocabulary Terms

Graphing nonlinear relationships and
residuals
 Transforming data using logarithms
Quiz
 Extrapolation
 Lurking variables and causation
 Relationships in categorical data
 Marginal and conditional distributions
 Simpson’s Paradox
 Review and AP exam questions
Test – Chapter 4
Chapter 6 – Probability
 Vocabulary terms
 Understanding the long-run relative
frequency interpretation of probability
 Defining sample spaces
 Probability models: using a tree diagram
and the multiplication rule
 Probability rules
 Independence and sampling
Quiz
 General multiplication rule
 Conditional probability
 Independent events
 Unions and intersections of events
 Review and AP exam questions
Test – Chapter 6
Chapter 7: Random Variables
 Vocabulary terms
 Discrete and continuous random variables
and their graphs
 Finding the mean and variance of a discrete
random variable
 Law of Large Numbers
 Rules for linear combinations of means and
variances
Quiz
 Review and AP exam questions
Test – Chapter 7
SPRING SEMESTER
Chapter 8: Binomial and Geometric Random
Variables
 Vocabulary terms
 The binomial setting and binomial formula



Comparing the graphs of the p.d.f. and c.d.f.
Mean and standard deviation of binomials
Using the normal approximation to the
binomial random variable
Quiz
 The geometric setting and using probability
rules
 Mean of a geometric random variable
 Review and AP questions
Test – Chapter 8

Conditions/assumptions for inference on
proportions
 1-proportion z-procedures for confidence
intervals
 Using margin of error to determine sample
size
Quiz
 Review and AP exam questions
Test – Confidence Intervals
Significance Tests for 1-Sample
Chapter 9: Sampling Distributions





Vocabulary terms
Defining inference
Parameters vs. statistics
Sampling variability
Sampling distributions – describe using
shape, outliers, center, spread
 Relationship between sample size and
sampling variability, rules of thumb
 Bias vs. variability
Quiz
 Sampling distribution, mean, and standard
deviation of sample means
 Using z-scores and graphs with sampling
distributions
 Central Limit Theorem
 Review and AP questions
Test – Chapter 9
Chapters 10 - 12: Introduction to Inference
Confidence Intervals for 1-Sample





Vocabulary terms
Finding confidence intervals for a pop. mean
Graphs of confidence intervals
Behavior of confidence intervals
Margin of error and relationship to sample
size
 Determining sample size
 Conditions and cautions
Quiz
 The t distribution
 Degrees of freedom
 Finding and interpreting t-confidence
intervals for one sample with unknown
population standard deviation
 Sample sizes for t procedures





Vocabulary terms
Outline of a test of significance
Writing hypotheses for tests of significance
P-values and statistical significance
Interpreting graphs in relation to
significance
 Procedure for significance tests with and
without fixed α
 Finding the one sample t-statistics and
completing t-tests of significance
 Using one-sample t-test for matched pairs
design
Quiz
 1-proportion z-procedures for significance
tests
 Relationship of sig. tests to confidence
intervals
 Type I and Type II errors
 Power of a test
Quiz
 Review and AP exam questions
Test – Significance Tests
2-Population Procedures
 Vocabulary terms
 Compare & contrast matched pairs with two
independent samples
 Two-sample t procedures for tests and
confidence intervals
 Degrees of freedom for two samples
 Robustness of t procedures
 Confidence intervals and significance tests
for the difference between proportions
Quiz
 Review and AP exam questions
Test – 2-Population Procedures
Chapter 13: Inference for Distributions
 Vocabulary terms
 Chi-square goodness of fit tests
 Expected counts
 Chi-square test for homogeneity of
populations
 Chi-square test for association/independence
 Review and AP exam questions
Test – Chapter 13
Prep for the AP Exam
Activities include:
 Mock AP exams
 Practice multiple choice questions
 Group analysis of released free response
questions and answers
 Practice with released free response
questions
AP Statistics Examination
Chapter 14: Inference for Regression
 Vocabulary terms
 Motivation for the regression model
 Reading computer output for regression
inference
 Confidence intervals and tests of
significance for the slope of a regression line
 Conditions for inference
Quiz
After the Exam:
Cumulative Project
Students complete a final project, alone or in
groups, with the following components:
 Collecting Data
 Calculating Statistics
 Written Report: Answers questions that
***Material covered is Subject to change***