K12 Education

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(New page: == SOCR Educational Materials - SOCR K-12 Educational Materials== ==Overview== The SOCR K-12 educational resources are developed to provide specific guideance,...)
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==TBD - This section is still under development==
==TBD - This section is still under development==
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Calculate probabilities of events and compare theoretical and experimental probability
 +
Fundamental Counting Principle:
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You are going to buy new school supplies for school.  There are five different things that are on your shopping list: a three ring
 +
binder, pencils, color pencils, a calculator, and folders.
 +
 +
For each of these items you have the following choices:
 +
Three Ring Binder: with pockets, without pockets, or clear cover
 +
Pencils: mechanical or regular
 +
Color Pencils: Crayola, Rose Art, or Bic
 +
Calculator: TI-83, regular, solar powered
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Folders: plastic, paper with prongs, paper without prongs
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How many different ways can you choose your school supplies? Use the fundamental counting principle.
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 +
Measures of Variation
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Standardized test scores are often reported in relation to all the test scores of other students.  For example, when your test score is
 +
in the 95 percentile that means that you have a test score that is higher than 95% of the other students who took the test.
 +
 +
Say the test scores are the following:
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85  88  90  92  76  57  88  91  74  72  98  100  97  88  96
 +
 +
There are three basic aspects of the data that will help you evaluate each student’s performance:
 +
1. Range:
 +
The range is the difference between the highest test score and the lowest test score. What is the range for this set of test scores?
 +
 +
2. Quartiles:
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The quartiles split the data into four equal (hence “quartiles”) sections after the data values have been arranged from least to
 +
greatest.  The quartiles mark the 25th (Q1), 50th (Q2), and 75th (Q3) percentile.  Find the three quartiles for the test scores.  Also,
 +
what is another term for the second quartile?
 +
 +
3. Inter-quartile Range:
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The IQR is the middle 50% of the data.  This means taking the difference between the 75th percentile (Q3) and the 25th percentile (Q1).
 +
What is the IQR for this set of test scores?
 +
 +
Box and whisker plots are a very useful way of displaying data that involves the range, quartiles and IQR.  Using SOCR Charts
 +
(http://www.socr.ucla.edu/htmls/SOCR_Charts.html), enter in the data for the test scores to see if your answers are correct and view how
 +
the data looks in this type of graph.  (Go to SOCR Charts, click on Miscellaneous, then Box and Whisker Chart Demo 2).
 +
 +
 +
Sources: SOCR EBook
==See also==
==See also==

Revision as of 05:49, 29 May 2008

Contents

SOCR Educational Materials - SOCR K-12 Educational Materials

Overview

The SOCR K-12 educational resources are developed to provide specific guideance, hands-on activities, demonstrations and learning materials specifically for technology-enhanced elementary, midle and high school probability and statistics education.

General Curriculum Outline

There are large variations in the probability and statistics curricula based on age, geographic location, culture, economic, social and visionary settings. This curricular outline includes many of the commonly discussed topics, terminologies, properties and protocols for data-driven probability modeling and statistical analysis.

TBD - This section is still under development

Calculate probabilities of events and compare theoretical and experimental probability
Fundamental Counting Principle:
You are going to buy new school supplies for school.  There are five different things that are on your shopping list: a three ring
binder, pencils, color pencils, a calculator, and folders.

For each of these items you have the following choices:
Three Ring Binder: with pockets, without pockets, or clear cover
Pencils: mechanical or regular
Color Pencils: Crayola, Rose Art, or Bic
Calculator: TI-83, regular, solar powered
Folders: plastic, paper with prongs, paper without prongs

How many different ways can you choose your school supplies? Use the fundamental counting principle.

Measures of Variation
Standardized test scores are often reported in relation to all the test scores of other students.  For example, when your test score is
in the 95 percentile that means that you have a test score that is higher than 95% of the other students who took the test. 

Say the test scores are the following:
85  88  90  92  76  57  88  91  74  72  98  100  97  88  96

There are three basic aspects of the data that will help you evaluate each student’s performance:
1. Range:
The range is the difference between the highest test score and the lowest test score. What is the range for this set of test scores?

2. Quartiles:
The quartiles split the data into four equal (hence “quartiles”) sections after the data values have been arranged from least to
greatest.  The quartiles mark the 25th (Q1), 50th (Q2), and 75th (Q3) percentile.  Find the three quartiles for the test scores.  Also,
what is another term for the second quartile?

3. Inter-quartile Range:
The IQR is the middle 50% of the data.  This means taking the difference between the 75th percentile (Q3) and the 25th percentile (Q1).
What is the IQR for this set of test scores?

Box and whisker plots are a very useful way of displaying data that involves the range, quartiles and IQR.  Using SOCR Charts
(http://www.socr.ucla.edu/htmls/SOCR_Charts.html), enter in the data for the test scores to see if your answers are correct and view how
the data looks in this type of graph.  (Go to SOCR Charts, click on Miscellaneous, then Box and Whisker Chart Demo 2).



Sources: SOCR EBook

See also

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