This 6th grade math course will benefit homeschoolers and students in public or private school settings when they partner with me, their math specialist, for learning, weekly support and success!

This class is STATISTICS AND PROBABILITY, Part E.  It can function as a stand-alone class, or as part of series that is listed by "Math You Can Do" that encompasses a full school year of math curriculum for 6th graders.  Students needing remediation, on grade level practice, or above grade level challenge will also benefit from the material that is taught in these small classes. This course, STATISTICS AND PROBABILITY, Part E, is one section in a series of courses that cover 5 strands of mathematics necessary for students in grade 6th.  This course will help students continue to build their number sense, skill, confidence and computational efficiency, as well as develop understanding of the process of statistical reasoning. This course can also be offered as private tutoring.  Private tutoring fees would apply. This is Math You Can Do by Michael Thurman.

What Will Be Taught

Statistics and Probability

Week 1:
Develop understanding of the process of statistical reasoning.

6.SP.0 The student will apply the four-step investigative process for statistical reasoning, and, 6.SP.0.a, formulate a statistical question as one that anticipates variability and can be answered with data.

Homework:
Identify statistical questions (6-HH.1)

and

6.SP.0.b The student will collect Data: Design and use a plan to collect appropriate data to answer a statistical question, and 
(6.SP.0.c ), Analyze Data: Select appropriate graphical methods and numerical measures to analyze data by displaying variability within a group, comparing individual to individual and comparing individual to group. In addition, The student will choose the best type of graph (6) and, (SP.0.d) Interpret Results: Draw logical conclusions and make generalizations from the data based on the original question, and, The student will develop understanding of statistical variability, (SP.1) recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers.


Homework:
Identify statistical questions (6-HH.1)

and

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

Homework:

Create line plots (6-GG.4)
Interpret stem-and-leaf plots (6-GG.21)
Create stem-and-leaf plots (6-GG.22)
Box plots (6-GG.23)

Week 2:

SP.3 The student will recognize that a measure of center for a numerical data set summarizes all of its values with a single number to describe a typical value, while a measure of variation describes how the values in the distribution vary.

Homework:
Calculate mean, median, mode, and range (6-HH.2)
Mean, median, mode, and range: find the missing number (6-HH.4)
Changes in mean, median, mode, and range (6-HH.5)

Week 3:

Summarize and describe distributions.

6.SP.4 The student will display the distribution of numerical data in plots on a number line, including dot plots, histograms and box plots.

Homework:
Create line plots (6-GG.4)
Create and interpret line plots with fractions (6-GG.5)
Create histograms (6-GG.15)
Box plots (6-GG.23)

Week 4:

6.SP.5 The student will summarize numerical data sets in relation to their context, such as by: (6.SP.5.a) reporting the number of observations.

Homework:
Interpret line plots (6-GG.3)
Interpret histograms (6-GG.14)
 and

SP.5.b The student will describe the nature of the attribute under investigation, including how it was measured and its units of measurement.

Homework:
Identify representative, random, and biased samples (6-HH.11)

and

6.SP.5.c The student will determine quantitative measures of center (median and/or mean) to describe distribution of numerical data.

Homework:
Calculate mean, median, mode, and range (6-HH.2)
Interpret charts and graphs to find mean, median, mode, and range (6-HH.3)
Mean, median, mode, and range: find the missing number (6-HH.4)

Week 5:
6.SP.5.d The student will describe distributions of numerical data qualitatively relating to shape (using terms such as cluster, mode(s), gap, symmetric, uniform, skewed-left, skewed-right and the presence of outliers) and quantitatively relating to spread/variability (using terms such as range and interquartile range).

Homework:
Calculate mean absolute deviation (6-HH.6)
Calculate quartiles and interquartile range (6-HH.7)
Identify an outlier (6-HH.8)
Identify an outlier and describe the effect of removing it (6-HH.9)