Correlation Between the California Content Standards and the eTAP Lessons
Advanced Placement Probability and
Statistics
Topics marked by yellow are accessible from the Demo. You need to become a subscribing Member to access other lessons. Below are the eTAP lessons covering each standard. Click on the eTAP lesson for access to the Q/A & video. |
| 1.0 |
Students solve probability problems with finite
sample spaces by using the rules for addition, multiplication, and
complementation for probability distributions and understand the
simplifications that arise with independent events. |
Relationships of Probability |
|
| 2.0 |
Students know the definition of conditional
probability and use it to solve for probabilities in finite sample spaces. |
What is Probability?
Probability of Events
Conditional Probability |
http://regentsprep.org/REgents/math/ALGEB
RA/APR3/indexAPR3.htm |
| 3.0 |
Students demonstrate an understanding of the
notion of discrete random variables by using this concept to solve for the
probabilities of outcomes, such as the probability of the occurrence of five
or fewer heads in 14 coin tosses. |
Data Classification, Range, and Midrange
Permutation and Combination
Expected Value
Discrete Probability Distribution |
| http://www-stat.stanford.edu/~susan/courses/s116/node99.html |
| 4.0 |
Students understand the notion of a continuous
random variable and can interpret the probability of an outcome as the area
of a region under the graph of the probability density function associated
with the random variable. |
Mean and Variance of Random Variable |
| http://people.hofstra.edu/Stefan_Waner/cprob/cprob2.html |
| 5.0 |
Students know the definition of the mean of a
discrete random variable and can determine the mean for a particular
discrete random variable. |
Frequency Distribution Table, Summation Notation, and Mean Formula |
| http://www.stat.yale.edu/Courses/1997-98/101/rvmnvar.htm |
| 6.0 |
Students know the definition of the variance of
a discrete random variable and can determine the variance for a particular
discrete random variable. |
http://www.stat.tamu.edu/stat30x/notes/node64.html |
| 7.0 |
Students demonstrate an understanding of the
standard distributions (normal, binomial, and exponential) and can use the
distributions to solve for events in problems in which the distribution
belongs to those families. |
Discrete Probability Distribution |
| http://mathworld.wolfram.com/StandardNormalDistribution.html |
| 8.0 |
Students determine the mean and the standard
deviation of a normally distributed random variable. |
Basic Methods of Describing Data
Standard Deviation of Random Variable |
| http://www.robertniles.com/stats/stdev.shtml |
| 9.0 |
Students know the central limit theorem and can
use it to obtain approximations for probabilities in problems of finite
sample spaces in which the probabilities are distributed binomially. |
http://www.statisticalengineering.com/central_limit_theorem.htm |
| 10.0 |
Students know the definitions of the mean,
median, and mode of distribution of data and can compute each of them in
particular situations. |
http://regentsprep.org/regents/Math/math-topic.cfm
?TopicCode=mean |
| 11.0 |
Students compute the variance and the standard
deviation of a distribution of data. |
http://davidmlane.com/hyperstat/A16252.html |
| 12.0 |
Students find the line of best fit to a given
distribution of data by using least squares regression. |
Paired Data Sets and Scatterplots
Regression Models and Least Square Methods |
http://regentsprep.org/Regents/Math/math-topic.
cfm?TopicCode=data |
| 13.0 |
Students know what the correlation coefficient
of two variables means and are familiar with the coefficient's properties. |
Correlations |
| http://www.coventry.ac.uk/ec/~nhunt/regress/good4.html |
| 14.0 |
Students organize and describe distributions of
data by using a number of different methods, including frequency tables,
histograms, standard line graphs and bar graphs, stem-and-leaf displays,
scatterplots, and box-and-whisker plots. |
Quartiles, Deciles, and Percentiles
Boxplot, Interquartile Range, and Midhinge |
| http://www.mathsteacher.com.au/year8/ch17_stat/03_freq/freq.htm |
| 15.0 |
Students are familiar with the notions of a
statistic of a distribution of values, of the sampling distribution of a
statistic, and of the variability of a statistic. |
Sample Space, Basics of Probability |
| http://www.psychstat.missouristate.edu/introbook/sbk19m.htm |
| 16.0 |
Students know basic facts concerning the
relation between the mean and the standard deviation of a sampling
distribution and the mean and the standard deviation of the population
distribution. |
http://www.fmi.uni-sofia.bg/vesta/virtual_labs/freq/freq2.html |
| 17.0 |
Students determine confidence intervals for a
simple random sample from a normal distribution of data and determine the
sample size required for a desired margin of error. |
http://onlinestatbook.com/chapter8/mean.html |
| 18.0 |
Students determine the P- value for a statistic
for a simple random sample from a normal distribution. |
http://www.tufts.edu/~gdallal/pval.htm |
| 19.0 |
Students are familiar with the chi- square distribution and chi- square test and understand their uses. |
http://math.hws.edu/javamath/ryan/ChiSquare.html |
