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Below are the objectives for
Applied Math. Click on the link 
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for
teachers for any objective to see the resources available or to add your own
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Home - Math
– Applied Math
Standard 5: Data
Analysis
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Resources |
Benchmark |
Indicator
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A. Create, interpret and use graphical
displays and statistical measures
to describe data (e.g., box-and-whisker plots, histograms, scatterplots, measures
of center and variability.) |
1. Use, create and interpret scatterplots and other types of graphs as appropriate. |
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B. Evaluate different graphical
representations of the same data to determine
which is the most appropriate representation for an identified purpose. |
1. Evaluate different graphical
representations of the same data to
determine which is the most appropriate representation for an identified purpose (e.g., line graph for change over
time, circle
graph for part-to-whole comparison, scatterplot for
relationship
between two variants. 2. Differentiate between discrete
and continuous data and appropriate
ways to represent each. |
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C. Compare the characteristics of
the mean, median and mode for a given
set of data, and explain which measure of center best represents the data. |
1. Explain the mean’s
sensitivity to extremes and its use in comparison
with the median and mode. |
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D. Evaluate the validity of claims and
predictions that are based on data
by examining the appropriateness of the data collection and analysis. |
1. Describe how the relative size of
a sample compared to the target
population affects the validity of predictions. |
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E. Construct convincing arguments based
on analysis of data and interpretation
of graphs. |
1. Make conjectures about possible
relationship in a scatterplot and approximate line of best fit. 2. Construct convincing arguments
based on analysis of data and interpretation
of graphs. |
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F. Describe samples methods and
analyze the effects of method chosen
on how well the resulting sample represents the population. |
1. Identify different ways of
selecting samples, such as survey response,
random sample, representative sample and convenience
sample. |
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G. Design an experiment to test a
theoretical probability and record and
explain results. |
1. Conduct simulation experiment to
arrive at an experimental probability. |
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H. Make predictions based on theoretical
probabilities and experimental
results. |
1. Analyze experimental data in
relation to theoretical probability. |
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I. Use counting techniques,
such as permutations and combinations, to
determine the total number of options and possible outcomes |
1. Calculate the number of possible
outcomes for a situation, recognizing
and accounting for when items may occur more than
once or when order is important. 2. Demonstrate an understanding that
the probability of either of two
disjoint events occurring can be found by adding the probabilities for each and that the
probability of one independent
event following another can be found by multiplying
the probabilities. |
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J. Compute probabilities of compound
events, independent events, and
simple dependent events. |
1. Demonstrate an understanding that
the probability of either of two
disjoint events occurring can be found by adding the probabilities for each and that the
probability of one independent
event following another can be found by multiplying
the probabilities. 2. Calculate probability using area
formulas when applicable. |
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