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Organization: South Carolina Academic Standards for Mathematics
Grade Band: 6th Grade
Standard Goal: Data Analysis and Probability
| Histograms and Bar Graphs |
Lesson: Introduction and fine points of using bar graphs and histograms.
| | Stem-and-Leaf Plots |
Lesson: Introduces students to stem-and-leaf plots and calculating the mean, median, and mode from the plots.
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Histogram |
Activity: View histograms for built-in or user-specified data. Experiment with how the size of the class intervals influences the appearance of the histogram. Parameters: Data sets, class sizes.
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Stem and Leaf Plotter |
Activity: View stem-and-leaf plots of your own data, and then practice finding means, medians and modes. Parameters: Data
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Measures |
Activity: Enter data and view the mean, median, variance, and standard deviation of the data set. Parameters: Number of observations, range for observations, which statistics to view, identifiers for the data.
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| From Probability to Combinatorics and Number Theory |
Lesson: Looks at data structures and their applications to probability theory.
| | Tree Diagrams and Probability |
Lesson: Introduces the concept of tree diagrams as a way to compute probability of a multi-step event.
| | Introduction to the Concept of Probability |
Lesson: Introduces students to simple probability concepts.
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Adjustable Spinner |
Activity: Create a game spinner with variable sized sectors to look at experimental and theoretical probabilities. Parameters: Sizes of sectors, number of sectors, number of trials.
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Crazy Choices Game |
Activity: Compare theoretical and experimental probabilities, using dice, cards, spinners, or coin tosses. Three different probabilities can be compared at once. Parameters: Type of probabilities, number of trials.
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Dice Table |
Activity: Experiment with the outcome distribution for a roll of two dice by simulating a dice throwing game. Parameters: Which player wins with which total rolled.
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Racing Game with One Die |
Activity: Experiment with probability and "fairness" with this simulation where two players each roll a die, and the lucky player moves one step towards the finish. Parameters: what rolls win and how many steps to the finish line.
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Spinner |
Activity: Create a game spinner with one to twelve sectors to look at experimental and theoretical probabilities. Parameters: Number of sectors, number of trials.
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Two Colors Applet |
Activity: Choose one of three boxes and choose one ball from the box to look at conditional probabilities. Parameters: Number of trials.
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| Conditional Probability and Probability of Simultaneous Events |
Lesson: Introduces conditional probability and the probability of simultaneous events.
| | Unexpected Answers |
Lesson: Considers probability problems with unexpected and surprising answers.
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Marbles |
Activity: Learn about sampling with and without replacement by randomly drawing marbles from a bag. Parameters: Number and color of marbles in the bag, replacement rule.
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Racing Game with One Die |
Activity: Experiment with probability and "fairness" with this simulation where two players each roll a die, and the lucky player moves one step towards the finish. Parameters: what rolls win and how many steps to the finish line.
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Racing Game with Two Dice |
Activity: Experiment with probability and "fairness" with this simulation where "N" players roll two dice, and the lucky player moves one step toward the finish on each roll. Parameters: the number of players, number of trials, and length of the race.
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Simple Monty Hall |
Activity: Choose one of three doors to experimentally determine the odds of winning the grand prize behind one of the doors, as in the TV program "Let's Make a Deal" thereby exploring the unexpected probabilities resulting from this experiment. Parameters: Staying or switching between the two remaining doors.
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Two Colors Applet |
Activity: Choose one of three boxes and choose one ball from the box to look at conditional probabilities. Parameters: Number of trials.
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