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2016.17, Statistics, Quarter 1
The following practice standards will be used throughout the quarter:
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
Ongoing Standards
WCE.ST.1 Apply mathematical concepts to describe, model and solve applied problems related to the relevant content.
WCE.ST.2 Construct mathematical arguments regarding the relevant mathematics and critique the reasoning of others.
WCE.ST.3 Solve non-routine mathematical equations using technology, graphs, formulas, and tables of values interpreting the solutions in the
appropriate contexts.
Standards
Student Friendly “I Can” Statements
Unit 1 Exploring Data
S.ID.1 Understand the term ‘variable’ and differentiate between the
I can define statistics.
data types: measurement, categorical univariate and bivariate.
I can distinguish between a population and a sample.
S.ID.10 Explore categorical data.
I can explore categorical data.
S.ID.2 Understand histograms, parallel box plots, dot plots and
scatterplots and use them to display and compare data.
I can graph and interpret quantitative data sets using stem-and-leaf and
dot plots.
I can graph and interpret qualitative data sets using pie charts and
Pareto charts.
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I can graph and interpret paired data sets using scatter plots and time
series charts.
S.ID.4 Compute basic statistics and understand the distinction
between a statistic and a parameter.
I can distinguish between a parameter and a statistic.
S.ID.8 Construct and analyze frequency tables and bar charts.
I can construct and analyze frequency tables and bar charts.
I can construct a frequency distribution including limits, midpoints,
relative frequencies, cumulative frequencies, and boundaries.
I can construct frequency histograms, frequency polygons, relative
frequency histograms, and boxplots.
S.ID.5 For univariate measurement data, be able to display the
distribution, describe its shape; select and calculate summary
statistics.
I can find the mean, median, and mode of a population and a sample.
I can find the weighted mean of a data set and the mean of a frequency
distribution.
I can describe the shape of a distribution as symmetric, uniform, or
skewed and how to compare the mean and median for each.
S.ID.6 Recognize how linear transformations of univariate data affect
shape, center and spread.
I can describe how transformations of univariate data affect shape,
center and spread.
Unit 2 Modeling Distributions of Data
S.ID.9 Describe individual performances in terms of percentiles, zscores, and t-scores.
S.ID.7 Analyze the effect of changing units on summary measures.
I can analyze the effect of changing units on summary measures.
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S.ID.3 Summarize distributions of univariate data.
I can find the range of a data set.
I can find the variance and standard deviation of a population and of a
sample.
I can use the Empirical Rule and to interpret standard deviation.
I can approximate the sample standard deviation for grouped data.
I can find the first, second, and third quartiles of a data set.
I can find the interquartile range of a data set.
I can represent a data set graphically using a box-and-whisker plot.
I can interpret quartiles and percentiles.
I can find the outliers of a data set.
S.MD.11 Use the mean and standard deviation of a data set to fit it
I can determine when the normal distribution can be used to
to a normal distribution and to estimate population percentages.
approximate a binomial distribution.
Recognize that there are data sets for which such a procedure is not
appropriate. Use calculators, spreadsheets, and tables to estimate
areas under the normal curve.
Unit 3- Describing Relationships
S.ID.12 For bivariate measurement data, be able to display a scatter
I can identify the linear correlation between independent and
plot and describe its shape, use technological tools to determine
dependent variables.
regression lines and correlation coefficients.
I can understand and can determine Explanatory and Response
variables.
I can find a correlation coefficient.
I can interpret a scatter plot.
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S.ID.13 Identify trends in bivariate data; find functions that model
the data andt transform the data so that they can be modeled.
I can identify trends in data and construct functions that represent and
model the data.
S.ID.11 Display and discuss bivariate data where at least one variable
is categorical.
I can interpret a regression line including its slope and y intercept.
I can read a residual plot.
I can tell the strength and direction of a linear relationship.
I can test a population correlation coefficient p using a table.
I can perform a hypothesis test for a population correlation coefficient p.
I can distinguish between correlation and causation.
I can find the equation of a regression line using technology.
I can graph a regression line.
I can predict y-values using a regression equation.
I can interpret the three types of variation about a regression line
I can find and interpret the coefficient of determination.
I can find and interpret the standard error of estimate for a regression
line.
I can construct and interpret a prediction interval for y.
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