Keeley Library August 22 , 2000
| THINKING
SKILLS: INTEGRATING LIBRARY RESOURCES WITH
LEARNING OBJECTIVES
Keeley Library August 22 , 2000 |
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Intro to Statistics, Statistis |
NUMBER |
OBJECTIVES |
| Note: Standard numbers with M = assumptions of prior knowledge | ||
| Keeley Library Resources : Click on the Internet Links in the First Column on the Left. | ||
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5H1
5M1
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CONTENT:
Plotting Points Represent data in
a scatter plot. Use the scatter plot to make predictions. Describe data
sets using the concepts of median, mean, mode, maximum and minimum, and
range.
PERFORMANCE: Graph Students work in pairs to plot points Short answers |
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5H2
2M7
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CONTENT:
Graphing Equations: Find the "Line of
Best Fit" from a set of data. Use tables an graphs to compare linear,
quadratic and exponential growth patterns.
PERFORMANCE: Graphs, Tables and Equations Students work in groups to fit a line to a set of data using active stats software Graphs/Short answer |
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5H3
5M5 5M10
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CONTENT:
Plotting and Graphing Select an appropriate
graphical representation for a set of data and use appropriate statistics, (e.g. mean, median, range, quartile, or percentile distribution to communicate information about data. Choose and apply appropriate measures of central tendency (mean, median, and mode) to represent a set of data. Use box-and-whisker plots to represent data sets and identify outliers. PERFORMANCE Graph and Diagram Students will work in groups to construct graphs and line plots that involve mean, median, mode. Short answers, Fill in the blanks, Group Activities |
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5H4
5M8 5M4 |
CONTENT:
Experiments With Sample Data Students
describe the effect of sample size and population size on the validity
of predictions from a set of data. Design a fair game, and provide
justification for fairness.
PERFORMANCE: Explanations Students take surveys in groups to predict outcomes Students demonstrate the ability to speak and write effectively.... Short Answer |
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5H5
5M8
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CONTENT:
Mathematical Expectations Students
design a fair game and provide justification for fairness. Make inferences
about a characteristic of a population from a well constructed sample.
e.g. capture, recapture. Find probabilities of events with equally likely
outcomes.
PERFORMANCE Graph, Diagram and Explanation Groups of students will present games they were assigned to to their classmates explaining the odds of winning and the built-in house advantage. Presentation |
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5H6
5M6
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CONTENT: Probability
:Describe the differences
between the theoretical probability of simple events and the experimental
probability from simulation. Use tree diagrams, tables and lists to describe
sample spaces and and to calculate probabilities of independent
and dependent events.
PERFORMANCE: Problem Solving: Students work in groups to experimental probabilities of a given sample space of outcomes. Short answer |
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5H7
5M6
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CONTENT:
Outcome Analysis Apply basic counting
principles to describe simple events, and compute probabilities
of events with outcomes that are not equally likely. Use tree diagrams,
tables and lists to describe sample spaces and and to calculate
probabilities of independent and dependent events.
PERFORMANCE Tree Diagrams, Tables of Outcomes, and Probabilities: Students will work in groups to develop a formula for determining the number of possible outcomes when an experiment is performed. Short answer |
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5H8
5H2
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CONTENT:
Predicting Stopping Distance: Apply regression
results and curve fitting to make predictions form data. Find the "line
of best fit" from a series of data. .
PERFORMANCE: Graph, Problem Solving Students working in groups will use a graphic calculator to do quadratic regressions, cubic regressions, quartic regressions, logarithmic regressions, and power regressions to analyze various data sets and interpolate and extrapolate the results. Short Answer |
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5H9
5H3
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CONTENT: Representing
the Spread of Data :Use
measures of spread of a set of data to solve problems. Use appropriate
statistics to communicate information about data.
PERFORMANCE: Problem Solving, Explanation Students working in groups will gather various data sets and make predictions about the graph of the data before actually graphing the data sets utilizing numerical statistics only. Short Answer |
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5H10
5H4
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CONTENT: Survey
Design and Administration :Design
surveys and apply random sampling techniques to avoid bias in the data
collected.Describe the effects of sample size and population size
on the validity of predictions from a set of data. Design a fair
game and provide justification for fairness.
PERFORMANCE: Analysis of Survey Results, Reports Students work in pairs to design a survey and gather data samples then analyze the results and report back to the entire class. Survey, Report |
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5H11
5H7
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CONTENT:
Finding the Probability of Independent Events Use
simulations (e.g., random number tables, random functions, and area models)
to determine experimental probabilities. Apply basic counting principles
to describe simple events, and compute probabilities of events with
outcomes that are not equally likely .
PERFORMANCE: Problem solving Students working in groups will be given a black numbered spinner wheel (1-6), and a red numbered spinner wheel (1-6). Students will then be asked to find the probability that the sum or the numbers on both wheels will be more than or equal to 10 when both wheels are spun. Short Answer |
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5H12
5H1
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CONTENT:
Analysis of Some Common Distributions Apply
uniform , normal, and binomial distributions to the solutions of
problems. Represent data in a scatter plot. Use the scatter plot to make
predictions. Describe data sets using the concepts of median, mean, mode,
maximum and minimum, and range.
PERFORMANCE: Graphs and Explanation Groups of students will work to produce graphs and control charts . Short answer, graph |
| Note.We would like to add links for online tutorials to cover items assumed to be already learned, and to help students who missed learning these concepts because of illness, etc. Microsoft has a number of tutorial about using spreadsheets, making various kind of charts etc. As we locate this kind of information, we will place it as links in the file, Using Computers for Assignments. Constructive criticism and suggestions are welcomed. | ||
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Jane Constant, Reference Librarian
Keeley Library, B.M.C.Durfee High School
of Fall River
September, 1978 to June, 2001