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Advanced Algebra Support
Inferences and Conclusions from Data
KEY STANDARDS ADDRESSED:
Interpreting Categorical and Quantitative Data
Summarize, represent, and interpret data on a single count or measurement variable
MCC9-12.S.ID.2 Use statistics appropriate to the shape of the data distribution to compare center (median, mean)
and spread (interquartile range, standard deviation) of two or more different data sets.
MCC9-12.S.ID.4 Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate
population percentages. Recognize that there are data sets for which such procedure is not appropriate. Use
calculators, spreadsheets, and tables to estimate areas under the normal curve.
Making Inferences and Justifying Conclusions
Understand and evaluate random processes underlying statistical experiments
MCC9-12.S.IC.1 Understand statistics as a process for making inferences about population parameters based on a
random sample from that population.
MCC9-12.S.IC.2 Decide if a specified model is consistent with results from a given data-generating process, e.g.,
using simulation. For example, a model says a spinning coin falls heads up with probability 0.5. Would a result of 5
tails in a row cause you to question the model?
Make inferences and justify conclusions from sample surveys, experiments, and observational studies
MCC9-12.S.IC.3 Recognize the purposes of and differences among sample surveys, experiments, and observational
studies; explain how randomization relates to each.
MCC9-12.S.IC.4 Use data from a sample survey to estimate a population mean or proportion; develop a margin of
error through the use of simulation models for random sampling.
MCC9-12.S.IC.5 Use data from a randomized experiment to compare two treatments; use simulations to decide if
differences between parameters are significant.
MCC9-12.S.IC.6 Evaluate reports based on data.
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Mon
Aug
11
Tue
Aug
12
Syllabus and Classroom Rules
EQ: How are quadratic expressions
factored?
EQ: How are quadratic equations solved by
factoring?
Review Solving Quadratics by factoring
EQ: How are quadratic equations solved by
completing the square?
EQ: How are quadratic equations solved by
using the quadratic formula?
Handout
Handout
Solve Quadratic Functions by Completing the
Square and using the Quadratic Formula
Wed
Aug
13
EQ: How are quadratic functions solved by
factoring, completing the square and
quadratic formula?
Solve Quadratic Functions using all three
Handout
Thur
methods
EQ: What are the center and spread
measurements for a set of data?
Aug
14
Handouts
MCC9-12.S.ID.2 Use statistics appropriate to
the shape of the data distribution to compare
center (median, mean) and spread (interquartile
range, standard deviation) of two or more
different data sets.
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 Mean, Median, Mode, Range
 Box and Whisker Plot
Fri
Aug
15
5.4
EQ: What are measures of dispersion?
EQ: How do we use a box and whiskers plot?
Handout
MCC9-12.S.ID.2 Use statistics appropriate to
the shape of the data distribution to compare
center (median, mean) and spread (interquartile
range, standard deviation) of two or more
different data sets.
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 Review Box and Whisker Plot, Mean,
Median, Mode, Range
 Math Award Task
Mon
Tue/
Wed
Aug
18
Aug
19/2
0
 Student Learning Objectives Test
 Vocabulary
EQ: What is normal distribution and does it
work for all data sets?
EQ: What is Empirical Rule and how is it
used to describe data?
MCC9-12.S.ID. 4 Use the mean and standard
deviation of a data set to fit it to a normal
distribution and to estimate population
percentages. 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
Handout
Thur
/Fri
Aug
21/2
2
EQ: How do you determine probability using
normal distribution and z-score?
Mon Aug
/Tue 25/2
6
EQ: What is the difference between
population and sample data sets?
EQ: What are experiments and observational
studies?
Handout
MCC9-12.S.IC. 1 Understand statistics as a
process for making inferences about population
parameters based on a random sample from
that population
MCC9-12.S.IC. 3 Recognize the purposed of
and differences among sample surveys,
experiments, and observational studies; explain
how randomization relates to each.
MCC9-12.S.IC. 6 Evaluate reports based on
data
Handout
MCC9-12.S.IC.3 Recognize the purposes of and
differences among sample surveys, experiments,
and observational studies; explain how
★
randomization relates to each.
MCC9-12.S.IC.4 Use data from a sample survey
to estimate a population mean or proportion;
develop a margin of error through the use of
★
simulation models for random sampling.
MCC9-12.S.IC.5 Use data from a randomized
experiment to compare two treatments; use
simulations to decide if differences between
parameters are significant.
MCC9-12.S.IC.6 Evaluate reports based on
data.
Wed
/Th
ur
Aug
27/2
8
★
EQ: How are conclusions determined from
data?
EQ: What is a confidence interval and
margins of error?
MCC9-12.S.ID.2 Use statistics appropriate to
the shape of the data distribution to compare
center (median, mean) and spread (interquartile
range, standard deviation) of two or more data
sets.
MCC9-12.S.ID.4 Use the mean and standard
deviation of a data set to fit it to a normal
distribution and to estimate population
percentages. Recognize that there are data sets
for which
Handout
such a procedure is not appropriate. Use
calculators, spreadsheets, and tables to
estimate areas
under the normal curve.
MCC9-12.S.IC.1 Understand statistics as a
process for making inferences about population
parameters based on a random sample from
that population.
Fri
Mon
Tue
Wed
Aug
29
Sept
1
Sept
2
Sept
3
Review for Unit Test
Student Holiday
Review for Unit Test
Unit Test
Essential Questions- Answer essential questions in complete sentences and provide an
example of each.
 How are quadratic expressions factored?
 How are quadratic equations solved by factoring?
 How are quadratic equations solved by completing the square?
 How are quadratic equations solved by using the quadratic formula?
 What are the center and spread measurements for a set of data?
 What are measures of dispersion?
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




How do we use a box and whickers plot?
What is normal distribution and does it work for all data sets?
What is Empirical Rule and how is it used to describe data?
How do you determine probability using normal distribution and z-score?
What is the difference between population and sample data sets?
What are experiments and observational studies?
 How are conclusions determined from data?
 What is a confidence interval and margins of error?
 How can I find standard deviation?
 How does the way I collected data effect the conclusions that can be drawn?
Vocabulary – Define and give an example of each
 Bias
 Census
 Central Limit
Theorem
 Confidence Interval
 Continuous
random variables
 Data
 Descriptive
Statistics
 Discrete Random
Variables
 Empirical Rule
 Normal
distribution
 Outliers
 Parameters
 Population
 Center
o Mean
o Median
o Mode
 Qualitative data
 Quantitative data
 Quartiles
 Random
 Range
 Sample
 Sample Mean
 Sample Proportion
 Sampling
Distribution
 Sampling
Variability
 Frequency
Distribution
 Inferential
Statistics
 Interquartile Range
 Margin of Error
 Mean absolute
deviation
 Shape
o Symmetry
o Number of
Peaks
o Direction of
Skew
o Uniformity
 Spread
 Standard Deviation
 Statistic
 Statistics
 Survey
Variance