6.SP.1-6.SP.5 Statistics and Probability

6.SP.A.1Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers.

Lessons:

• Statistical Questions

Isolation Drills:

• Statistical questions

TenMarks Assignment:

• 6.SP.1 Recognizing Statistical Questions

6.SP.A.2 Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.

Lessons:

• Find the mean by equally distributing objects
• Find the median by elimination
• Find range using graphs and charts
• Describe the shape of a dot plot
• Identify clusters, peaks and gaps in a dot plot

Isolation Drills:

• Clusters, gaps, peaks, & outliers
• Reading box plots
• Shape of distributions

TenMarks Assignment:

• 6.SP.2 Describe Data Distribution: Use Center/Spread/Shape

6.SP.A.3 Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number.

Lessons:

• Express mean, median, and mode
• Distinguish between measure of center and measure of variance
• Solve a real-world problem involving measures of center and variance
• Identify clusters, peaks and gaps in a dot plot
• Summarize the center of data with a single number using mean, median,…
• Summarize the spread of data using range and mean absolute deviation

Isolation Drills:

• Effects of shifting, adding, & removing a data point
• Reading box plots

TenMarks Assignment:

•  6.SP.3 Recognize Measures of Center & Measures of Variation

6.SP.B.4Display numerical data in plots on a number line, including dot plots, histograms, and box plots.

Lessons:

• Construct a dot plot
• Construct a box plot
• Choose the best graph for a data set using measures of center

Isolation Drills:

• Calculating the mean from data displays
• Creating box plots 1
• Creating box plots 2
• Creating dot plots
• Creating frequency tables
• Creating histograms
• Interpreting quartiles
• Reading box plots
• Reading dot plots and frequency tables
• Reading histograms

TenMarks Assignment:

• 6.SP.4 Displaying Numerical Data

6.SP.B.5 Summarize numerical data sets in relation to their context Reporting the number of observations and describing the nature of the attribute under investigation, including how it was measured and its units of measurement. Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered.  Relating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered.

Lessons:

• Determine the number of observations in a set of data by looking at h…
• Describe attributes of a data set by analyzing line plots, histograms…
• Describe the spread of data by finding range, interquartile range, an…
• Describe a data set
• Determine the number of observations in a set of data by looking at h…
• Determine fair shares by finding the mean
• Summarize a data set using the mean, median, and mode
• Describe patterns in data sets
• Describe a data set using measures of variability
• Describe the spread of data by finding range, interquartile range, an…
• Describe a data set
• Determine fair shares by finding the mean
• Summarize a data set using the mean, median, and mode
• Describe patterns in data sets
• Describe a data set using measures of variability

• Choose the best measure of center and variability

Isolation Drills:

• Data set warm-up
• Calculating the interquartile range (IQR)
• Calculating the mean
• Calculating the mean absolute deviation (MAD)
• Calculating the mean from data displays
• Calculating the median
• Calculating the median from data displays
• Find a missing value given the mean
• Interpreting quartiles
• Mean, median, and mode
• Median and range puzzlers
• Exploring mean and median

TenMarks Assignment:

• 6.SP.5a Identify: Observation Numbers Based on a Data Display
•  6.SP.5b Attributes of Data Displays
• 6.SP.5c Find: Measures of Center and Variability of Data Sets
• 6.SP.5d Measures of Center and Variability: Shape Data Display

7.SP.1-7.SP.4 Syllabus

Standards:

7.SP.A.1Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences.

7.SP.A.2 Use data from a random sample to draw  inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions.

7.SP.B.3 Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability.

7.SP.B.4 Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations.

 

Lesson Videos:

Data, statistics, and probability

Isolation Drills:

Grade 7: Statistics and Probability

TenMarks:

7.SP.1

Understanding and Inferring Sample Data

 

7.SP.2

Inferring Variation in Data Samples

7.SP.3

Understanding Overlap of Data Distributions

7.SP.4

Using Measures of Center to Draw Inferences

7.SP.4

Measures of Center and Variability to Draw Inferences