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Dallastown Area School District
Mathematics Curriculum Map – Probability and Statistics
Section
1.1-1.4
Skill/Objective
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Section
Classify random variables as discrete or continuous.
Classify measurements as quantitative or qualitative.
Classify measurements as discrete or continuous.
Identify the sampling technique used to gather a set of data.
Identify the highest level of measurement of a given random variable.
Skill/Objective
 Create a frequency distribution for a given set of data.
2.2
2.3
 Create graphical displays of a set of grouped data.
 Interpret graphical displays of grouped data.
2.4
 Create appropriate graphical displays for various types of data.
 Interpret graphical displays of various types of data.
Section
3.1-3.2
3.3
3.4
Skill/Objective
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Calculate the mean, median, and mode of an array of data.
Calculate the mean, median, and mode of a set of grouped data.
Calculate the midrange of an array of data
Calculate a weighted mean.
Describe the shape of a distribution from a graph.
Calculate the range, variance, and standard deviation of an array of data.
Calculate the range, variance, and standard deviation of grouped data.
Calculate and interpret the coefficient of variation.
Create and interpret Chebyshev intervals.
Use the Empirical Rule to find probabilities in a normal distribution.
Calculate standard scores using the mean and standard deviation.
Calculate the percentile rank of a value in a ranked set of data.
Find a data value corresponding to a given percentile.
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Revised 4/30/11
Dallastown Area School District
Mathematics Curriculum Map – Probability and Statistics
Section
Skill/Objective
4.1-4.3
 Use the Fundamental Counting Principle to determine the number of outcomes of an event.
 Use tree diagrams to represent the possible outcomes of an event.
4.4
 Use permutations to determine the number of ordered outcomes of an event.
 Calculate the number of ordered arrangements possible from a set containing like elements.
4.5
 Use combinations to determine the number of un-ordered outcomes of an event.
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5.1-5.2
5.3-5.4
Section
6.1-6.2
6.3
Determine the sample space of a probability experiment.
Find the probability of a simple event.
Find the compliment of a given probability.
Use the addition rule to calculate probabilities.
Use the multiplication rule to calculate probabilities.
Calculate conditional probabilities.
Skill/Objective
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Know the characteristics of a discrete probability distribution.
Determine if a given random variable is discrete or continuous.
Construct a discrete probability distribution.
Calculate the mean, variance, and standard deviation of a discrete probability distribution.
6.4
 Use the binomial and geometric probability distributions to calculate probabilities.
 Find the mean and standard deviation of binomial and geometric probability distributions.
6.5
 Use the Poisson probability distribution to calculate probabilities.
 Find the mean and standard deviation of a Poisson probability distribution.
Section
7.1-7.2
Skill/Objective
 Know the characteristics of a continuous probability distribution.
 Know the properties of the Normal probability distribution.
 Use the Emperical Rule to calculate probabilities.
2
Revised 4/30/11
Dallastown Area School District
Mathematics Curriculum Map – Probability and Statistics
7.3-7.4
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Calculate standard scores from a normal distribution.
Find probabilities involving normal distributions.
Solve problems involving a normally distributed random variable.
Use inverse normal to find a value of a random variable.
Section
Skill/Objective
 Create scatter plots for paired data.
11.1-11.2  Use scatter plots to determine linear correlation.
 Determine the line of best fit.
11.3-11.5  Find the Correlation Coefficient to determine the strength of a linear model.
Find the Coefficient of Determination.
 Know the characteristics of a sampling distribution taken from a normal distribution.
7.5
 Use the Central Limit Theorem to determine the mean and standard deviation of a sampling distribution.
 Calculate probabilities using the Central Limit Theorem.
Section
8.1-8.3
8.4
Supplem
ent
Skill/Objective
 Calculate and interpret confidence interval estimates for the mean of a population.
 Calculate and interpret confidence interval estimates for a population proportion.
 Calculate and interpret confidence interval estimates for the difference between two population means.
 Calculate and interpret confidence interval estimates for the difference between two population proportions.
Section
9.1-9.2
9.3-9.4
9.5
Supplem
ent
Skill/Objective
 Know the steps in constructing a statistical test.
 Interpret the level of a test.
Know the types of error when performing a statistical test.
 Perform z and t tests for a population means
 Perform z-tests for a population proportions.
 Perform tests for the difference of two population means.
 Perform tests for the difference of two population proportions.
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Revised 4/30/11