Download Common Core Learning Standards

Common Core Learning Standards
GRADE 8 Mathematics
STATISTICS & PROBABILITY
Common Core Learning
Standards
Investigate patterns of association
in bivariate data.
Concepts
Scatter plots
8.SP.1.
Construct and interpret scatter plots for
bivariate measurement data to investigate
patterns of association between two
quantities. Describe patterns such as
clustering, outliers, positive or negative
association, linear association, and
nonlinear association.
Rigorous Sample Tasks
Embedded Skills
Construct a scatter plot for bivariate data.
Interpret scatter plots for bivariate data.
Describe patterns for clustering of data.
Describe patterns for outliers of data.
Describe positive/negative association of
data.
Describe linear/nonlinear association of data.
Vocabulary
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Scatter plots
Bivariate
Outliers
Positive/negative association
Linear/nonlinear association
Clustering
Ordered pairs
Trend
Scaffolded Sample Tasks
Copyright (c) 2011 by Erie 1 BOCES- Deep Curriculum Project for Mathematics-- Permission to use (not alter) and reproduce for educational purposes only.
Common Core Learning
Standards
Investigate patterns of association
in bivariate data.
Concepts
Embedded Skills
Regression
Describe a linear relationship from a scatter plot.
8.SP.2.
Know that straight lines are widely used to
model relationships between two
quantitative variables. For scatter plots
that suggest a linear association, informally
fit a straight line, and informally assess the
model fit by judging the closeness of the
data points to the line.
Rigorous Sample Tasks
Draw/sketch a line on a scatter plot that best fits
the data.
Choose the line that most appropriately fits the
data.
Plot ordered pairs on a coordinate plane.
Describe the type of correlation from the trend
line.
Vocabulary
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Scatter plot
Correlation
Linear relationship
Independent
Dependent
Trend
Line of best fit
Quantitative data
Scaffolded Sample Tasks
Copyright (c) 2011 by Erie 1 BOCES- Deep Curriculum Project for Mathematics-- Permission to use (not alter) and reproduce for educational purposes only.
Common Core Learning
Standards
Investigate patterns of association
in bivariate data.
Concepts
Linear models
8.SP.3.
Use the equation of a linear model to solve
problems in the context of bivariate
measurement data, interpreting the slope
and intercept. For example, in a linear
model for a biology experiment, interpret a
slope of 1.5 cm/hr as meaning that an
additional hour of sunlight each day is
associated with an additional 1.5 cm in
mature plant height.
Rigorous Sample Tasks
Embedded Skills
Identify the slope and intercept from the
equation of a linear model in the context of a
problem.
Draw logical conclusions using slope and yintercept of the line.
Describe the slope and intercept from the
equation of a linear model to solve a problem.
Vocabulary
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Bivariate
Slope
Rate of change
Equation of a line
Linear equation
Trend line
Ordered pair
Y-intercept
Scaffolded Sample Tasks
Copyright (c) 2011 by Erie 1 BOCES- Deep Curriculum Project for Mathematics-- Permission to use (not alter) and reproduce for educational purposes only.
Common Core Learning
Standards
Investigate patterns of association
in bivariate data.
Concepts
Two way tables
8.SP.4.
Understand that patterns of association
can also be seen in bivariate categorical
data by displaying frequencies and relative
frequencies in a two-way table. Construct
and interpret a two-way table summarizing
data on two categorical variables collected
from the same subjects. Use relative
frequencies calculated for rows or columns
to describe possible association between
the two variables. For example, collect data
from students in your class on whether or
not they have a curfew on school nights
and whether or not they have assigned
chores at home. Is there evidence that
those who have a curfew also tend to have
chores?
Rigorous Sample Tasks
Embedded Skills
Construct a two-way table on two categorical
variables collected from the same subjects.
Describe patterns of association displayed in a
two way table.
Draw conclusions about the association between
the data (positive association/negative
association).
Calculate relative frequencies from data given in
a two way table.
Describe possible associations based on the
relative frequencies.
Vocabulary
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Two-way table
Bivariate
Frequency
Relative frequency
Association (correlation)
Variable
Scaffolded Sample Tasks
Copyright (c) 2011 by Erie 1 BOCES- Deep Curriculum Project for Mathematics-- Permission to use (not alter) and reproduce for educational purposes only.