GRADES 9-12 SCIENTIFIC INQUIRY - GRAPHING AND MATHEMATICAL METHODS
Grades 9 to 12
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Graphing and Mathematical Methods
Data Representation - Charts, Graphs and Tables
  Graphing Statistics - Seeing is Believing
From the great ThinkQuest site: "Most people find visual representations to be useful in highlighting information obtained from sample observations. There are various graphical means to visualize a frequency distribution; bar charts, histograms, pie charts and frequency polygons/ogives are among the most popular."
 
  Displaying Data
View several different ways to present statistical data, including box-and-whisker plots, stem-and-leaf plots, and line graphs.
 
  Holt: Grapher
Create online graphs and charts with the data you collected! Line graphs, bar graphs, pie charts - you choose! Requires the latest version of Shockwave.
 
  Graphs: Homework Hotline
If you have a fast internet connection, check out this great video tutorial!
 
  BBC - Drawing Data Displays
A series of great tutorials from the BBC!
Pie Charts and Frequency Diagrams #1
Pie Charts and Frequency Diagrams #2
Scatter and Cumulative Frequency Diagrams
Histograms
 
  What Makes a Graph a Pictogram?
From the Ask Dr. Math FAQ files, an explanation of pictograms and how to interpret them.
 
  Reading Graphs
After completing this tutorial, you should be able to: Read a bar graph, Read a line graph, Read a double line graph, and Draw and read a Venn diagram
 
  Box-and-whisker Plot Instructions
An excellent tutorial on creating box-and-whisker plots!
 
Precision and Significant Figures
  Measurement & Analysis
A great site that explores several topics in data collection, measurement and analysis - including signbificant figures, use of units, scientific notation, and more!
 
  Significant Figures Tutorial
A great Flash tutorial that explains and explores the concept of sig figs!
 
  Measuring and Significant Figures
Brief essay on why significant figures are used, and the relationship of "sig figs" to error in measurement.
 
  Significant Figures Rules
List of rules for determining the correct number of significant figures; includes practice problems.
 
  Significant Figures Rules
Brief list of rules for determining the correct number of significant figures.
 
  Math With Significant Figures - Addition and Subtraction
Rules for these mathematical operations using significant figures.
 
  Math With Significant Figures - Multiplication and Division
Rules for these mathematical operations using significant figures.
 
  Significant Figures Drill
Java applet that tests students skills with significant figures! Immediate feedback!
 
  Rules for Rounding Off
Essay on rounding numbers in scientific calculations, and why the rules for science differ for the rules in mathematics!
 
  Accuracy and Precision Tutorial
A great mini-tutorial on this topic from the McGraw-Hill Essential Study Partner for Chemistry! Click on the arrows and icons at the bottom of the screen to navigate through the lesson.
 
  Precision and Accuracy
Lesson in an online course from Wellesley College on precision ("the reproducibility of repeated measurements done under identical conditions") and accuracy ("a measure of the closeness of an experimental value to the true or accepted value of the property being measured")
 
Dimensional Analysis
  Dimensional Analysis (Factor-Label Method)
From the site: "Dimensional Analysis (also called Factor-Label Method or the Unit Factor Method) is a problem-solving method that uses the fact that any number or expression can be multiplied by one without changing its value. It is a useful technique. The only danger is that you may end up thinking that chemistry is simply a math problem - which it definitely is not."
 
  Dimensional Analysis - Wilton HS
A humorous tutorial on the use of Dimensional Analysis for complex problem solving.
 
  Chemtutor - Dimensional Analysis
Dimensional analysis is a system of using the units of quantities to guide the mathematical operations. There are other names for the very same idea, for instance, unit conversion or factor label or factor-unit system. Learn more here!
 
  Basic Chemistry
Information on Factor Labels, Solids, Liquids and Gases, and Significant Figures.
 
Central Tendency: Mean, Median, Mode
  Understanding Averages
From BBC Skillswise - factsheets, online activities and worksheets that help you to understand and use averages and measures of central tendency.
 
  Mode - Mean - Median: Homework Hotline
If you have a fast internet connection, check out this great video tutorial!
 
  QuickMBA - Central Tendency
A great look at mean, median and mode.
 
  Mean, Median and Mode Tutorial
What does the Grinch know about mean, median and mode? Find out here (this site is very creative and cool!).
 
  QuickMBA - Dispersion
A nice look at range and deviation.
 
  Central Tendency Stats Machine
A great tool that will calculate the mean, median and mode of any set of data (up to 15 items).
 
Domain and Range
  Domain & Range - AS Guru
From the BBC, a great tutorial on Domain and Range concepts!
 
  Measures of Central Tendency
A look at mean, mode and median.
 
  How Do We Find Domains & Ranges
Some great worked examples from George Mason University.
 
Standard Deviation
  Variance and Standard Deviation
From StatCan, a review of standard deviation - the measure of spread most commonly used in statistical practice when the mean is used to calculate central tendency.
 
  BBC - Standard Deviation
Standard deviation is an important measure of spread or dispersion. Learn about comparing distributions, the formula, and see a worked example.
 
  Standard Deviation and Variance
A nice tutorial from QuickMBA.
 
  Is There a Standard for All This Deviation?
Statisticians have found the Standard Deviation to be very useful and in many cases they use this property to determine the probability of a given data point occurring. This allows them to determine the verity or falseness of hypotheses.
 
  What is the Standard Deviation?
See a nice review of this statistical concept in relation to the stock market.
 
General Statistics Resources
  BBC - Bitesize Statistics
A nice series of tutorials on the following topics in statistics: Scatter diagrams (includes a unit on correlations), Semi-interquartile range, Standard deviation.
 
  DAU Stat Refresher
This module is an interactive tutorial which gives a comprehensive view of Probability and Statistics. This interactive module covers basic probability, random variables, moments, distributions, data analysis including regression, moving averages, exponential smoothing, and clustering.
 
  BBC Math - Data Handling 1
BBC's "Bitesize Math" has lessons, demos and quizzes on the following topics: Central Tendency, Raw Data, Representing Data, Scatter Diagrams, Questionnaires, Histograms, Sampling, Standard Deviation, Pie Charts, Frequency Diagrams.
 
  Statistics - Seeing is Believing
A wonderfully organized site for students who want on-line math help! This site has lessons and examples for the following topics in statistics:Introduction to Statistics, Descriptive and Inferential Statistics, Population and Samples, Statistical Representations of Data, Frequency Distributions, Graphs, Percentiles, Statistical Measures of Data, Parameters and Statistics.
 
  Learning Statistics
From ThinkQuest, a great site that covers statistics from Basic to Advanced Topics!
 
  The Stats Tutorials
A series of great lessons on the following topics: Grouped Data, Histograms, Cumulative Frequency, Averages, Measures Of Dispersion.
 
  Glossary of Statistics Terms
A nicely illustrated glossary of terms!
 
  Statsoft Textbook
The Electronic Textbook begins with an overview of the relevant elementary (pivotal) concepts and continues with a more in depth exploration of specific areas of statistics, organized by modules, accessible by buttons, representing classes of analytic techniques.
 
  Summarizing Data
Learn the basics about data and variables, review many statistical terms, and learn how to generalize to a population.
 
  StatMonkey
All hail the StatMonkey! Your simian guide will lead you through the valley of statistics from introductory level to advanced stats.
 
  Statistics and Probability Techniques
From the Ask Dr. Math FAQ files, a group of probing questions requiring varying statistical and probability analyses to solve.
 
  Representing Data
Check out S-Cool's great illustrated lessons on Handling Data and Graphs & Charts!
 
  Virtual Stats & Probability Manipulatives
Students learn concepts in stats & probability - such as graphing skills and event recording - with these great online manipulatives!
 

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