Statistics and Probability

Describe events as subsets of a sample space

Understand and determine if two events are independent

Understand the conditional probability of A given B as P(A and B)/P(B
Lesson SetsSCP.3
1. Determine independence or association of two eventsSCP.3

2. Determine independence by comparing conditional probability to simp...SCP.3

3. Show that associated events are not independent by comparing simple...SCP.3

4. Determine whether events A and B are independent using complementsSCP.3


Explain concepts of conditional probability and independence

Find the conditional probability of A given B as the fraction of B's outcomes that also belong to A

Apply the Addition Rule
Lesson SetsSCP.7
1. Use the Addition Rule to calculate the probability of disjoint even...SCP.7

2. Nondisjoint events and the Addition RuleSCP.7

3. Solve word problems using the addition ruleSCP.7

4. Calculate probabilities by using the complement and addition ruleSCP.7

5. Use conditional probabilitySCP.7

6. Calculate different probabilities by working backwardSCP.7


Understand statistics as a process for making inferences (sampling types focus)
Lesson Sets 
Decide if a specified model is consistent with results

Recognize purposes and differences among surveys, experiments and observations and explain how randomization relates to each

Use data from a sample survey and evaluate reports based on data
Lesson SetsSIC.4, SIC.6 
Use data from a randomized experiment and evaluate reports based on data

Represent data with plots on the real number line

Compare center and spread of two or more different data sets
Lesson SetsSID.2
1. Identify a data set’s shape using modes and symmetrySID.2

2. Find center using mean and medianSID.2

3. Calculate and compare spreads by identifying IQRSID.2

4. Calculate and compare spreads using standard deviationSID.2

5. Compare histograms using center and spreadSID.2

6. Compare box plots using center and spreadSID.2

7. Compare dot plots using center and spreadSID.2


Interpret differences in shape, center, and spread in the context of the data sets

Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages
Lesson SetsSID.4
1. Identify situations that fit to normal distributionsSID.4

2. Estimate population percentages by applying the Empirical RuleSID.4

3. Find population percentages by extending the Empirical RuleSID.4

4. Find zscoresSID.4

5. Find population percentages using zscores and tablesSID.4

6. Find population percentages using technologySID.4


Summarize categorical data for two categories in twoway frequency tables

Represent and describe data on two quantitative variables on a scatter plot
Lesson SetsSID.6, SID.6a, SID.6b, SID.6c
1. Describe the relationship between variablesSID.6

2. Describe a relationship in terms of strength and directionSID.6

3. Make predictions using a line of best fitSID.6a

4. Draw residualsSID.6b

5. Calculate the residualSID.6b

6. Understand the least squares regression lineSID.6b

7. Find the least squares regression equationSID.6c


Interpret the slope and the intercept of a linear model

Compute (using technology) and interpret the correlation coefficient of a linear fit.

Distinguish between correlation and causation