Interactivate: Standard Expectation

28 items total

Organization: National Council of Teachers of Mathematics
Grade Band: Grades 6 - 8
Standard Goal: Data Analysis and Probability

discuss and understand the correspondence between data sets and their graphical representations, especially histograms, stem-and-leaf plots, box plots, and scatter plots
find, use, and interpret measures of center and spread, including mean and interquartile range
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discuss and understand the correspondence between data sets and their graphical representations, especially histograms, stem-and-leaf plots, box plots, and scatter plots

Sets and the Venn Diagram	Lesson: Introduces students to the notions of sets, elements, and Venn diagrams.
The Bell Curve	Lesson: Introduces the normal distribution and looks at the bell curve controversy.
Stem-and-Leaf Plots	Lesson: Introduces students to stem-and-leaf plots and calculating the mean, median, and mode from the plots.
Algorithm Discovery with Venn Diagrams	Lesson: Allows students to sort different shapes into Venn diagrams.
Box Plots	Lesson: Introduces students to quartiles and box plots.
Fire!, Probability, and Chaos	Lesson: Utilizes and reinforces concepts of probability, mean, line plots, experimental data, and chaos in analyzing a forest fire simulation.
Linear Regression and Correlation	Lesson: Students are introduced to correlation between two variables and the line of best fit.
Histograms and Bar Graphs	Lesson: Introduction and fine points of using bar graphs and histograms.
Graphs and Functions	Lesson: Demonstrates the connections between formulas and graphs.
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.
Skew Distribution	Activity: Change the median and standard deviation of an automatically generated normal distribution to create a skewed distribution, allowing them to observe properties like what it means for the mean, median, and mode to be different. Parameters: median, standard deviation, number of trials, class intervals.
Stem and Leaf Plotter	Activity: View stem-and-leaf plots of your own data, and then practice finding means, medians and modes. Parameters: Data
Scatter Plot	Activity: Graph ordered pairs and customize the graph title and axis labels. Points are connected from left to right, rather than being connected in the order they are entered.
Normal Distribution	Activity: Change the standard deviation of an automatically generated normal distribution to create a new histogram. Observe how well the histogram fits the curve, and how areas under the curve correspond to the number of trials. Parameters: standard deviation, number of trials, class intervals.
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.
Scatter Plot	Activity: Graph ordered pairs and customize the graph title and axis labels. Points are connected from left to right, rather than being connected in the order they are entered.
Stem and Leaf Plotter	Activity: View stem-and-leaf plots of your own data, and then practice finding means, medians and modes. Parameters: Data

find, use, and interpret measures of center and spread, including mean and interquartile range

The Bell Curve	Lesson: Introduces the normal distribution and looks at the bell curve controversy.
Stem-and-Leaf Plots	Lesson: Introduces students to stem-and-leaf plots and calculating the mean, median, and mode from the plots.
Fire!, Probability, and Chaos	Lesson: Utilizes and reinforces concepts of probability, mean, line plots, experimental data, and chaos in analyzing a forest fire simulation.
Introduction to Statistics: Mean, Median, and Mode	Lesson: Introduces statistical measures of center.
Box Plots	Lesson: Introduces students to quartiles and box plots.
Skew Distribution	Activity: Change the median and standard deviation of an automatically generated normal distribution to create a skewed distribution, allowing them to observe properties like what it means for the mean, median, and mode to be different. Parameters: median, standard deviation, number of trials, class intervals.
Stem and Leaf Plotter	Activity: View stem-and-leaf plots of your own data, and then practice finding means, medians and modes. Parameters: Data
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.
Circle Graph	Activity: Enter your own data categories and the value of each category to create a pie chart. There are also built in data sets which can be viewed.
Normal Distribution	Activity: Change the standard deviation of an automatically generated normal distribution to create a new histogram. Observe how well the histogram fits the curve, and how areas under the curve correspond to the number of trials. Parameters: standard deviation, number of trials, class intervals.