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Ch 2: Common Core Math Grade 6 - Statistics & Probability: Describing Distributions

About This Chapter

Reinforce your teaching of statistics and probability concepts and meet the Common Core Standards for 6th grade math with the lessons in this chapter. Help your students grasp topics relating to distributions by having them watch the video lessons and incorporating the suggestions found in this article.

Standard: Display numerical data in plots on a number line, including dot plots, histograms, and box plots. (CCSS.Math.Content.6.SP.B.4)

Standard: Summarize numerical data sets in relation to their context, such as by: (CCSS.Math.Content.6.SP.B.5)

Standard: Reporting the number of observations. (CCSS.Math.Content.6.SP.B.5.A)

Standard: Describing the nature of the attribute under investigation, including how it was measured and its units of measurement. (CCSS.Math.Content.6.SP.B.5.B)

Standard: 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. (CCSS.Math.Content.6.SP.B.5.C)

Standard: 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. (CCSS.Math.Content.6.SP.B.5.D)

About This Chapter

Use these engaging lessons to make sure your students fully understand distributions. Once they do, they'll understand the various ways of calcualting mean, median and range and how they can be used for different circumstances. Your students will also be able to summarize data sets in relation to their context. Topics you can expect to find addressed in this chapter include:

  • Understand how histograms are created and how they are used
  • Construct dot plots and explain their uses
  • Explain the use of box plots in statistical analysis
  • Make arguments and predictions using the concept of central tendency

You can use lesson quizzes as in-class or homework review of the material covered in these videos. After mastering the topics for this standard, your students could be prepared to study more complex areas of statistics.

How to Use These Lessons in Your Classroom

Below you will find some tips as to how these lessons can be adopted into your regular curriculum to meet the Common Core Standards.

Incorporate a Classroom Activity into Your Curriculum

Have each student take the quizzes at the end of each lesson. Facilitate a class discussion and have the students create a histogram showing the range of scores, the median score and the mean score.

Assign a Group Project

Have students answer a question, such as if they have any pets at home and how many. Create a dot plot showing how many students have one pet, how many have two pets, etc. Use the same information to create a box plot. Have students work together to create posters of this dot plot and box plot.

Make a Competition

Form the class into three groups. Make a histogram station, a box plot station and a dot plot station. Write up information on index cards and leave them at each station. Have all the groups start at one station, each group selects a card and creates the chart required at each station based on the information found on the card. The first group to complete all three stations successfully wins the competition.

5 Lessons in Chapter 2: Common Core Math Grade 6 - Statistics & Probability: Describing Distributions
Test your knowledge with a 30-question chapter practice test
Creating & Interpreting Histograms: Process & Examples

1. Creating & Interpreting Histograms: Process & Examples

Creating histograms can help you easily identify and interpret data. This lesson will give you several examples to better understand histograms and how to create them.

Creating & Interpreting Dot Plots: Process & Examples

2. Creating & Interpreting Dot Plots: Process & Examples

Dot plots are a visual way to display the frequency distribution in a data set. In this lesson, you will learn how to construct a dot plot and understand its uses.

Creating & Interpreting Box Plots: Process & Examples

3. Creating & Interpreting Box Plots: Process & Examples

Box plots are an essential tool in statistical analysis. This lesson will help you create a box plot and understand its meaning. When you are finished, test your understanding with a short quiz!

Making Arguments & Predictions from Univariate Data

4. Making Arguments & Predictions from Univariate Data

Univariate data is used to describe a situation or experiment; however, you can also use the data to make arguments and predictions. This lesson will show you how to use measures of central tendency to make arguments and predictions.

Defining the Nature of an Attribute Being Measured

5. Defining the Nature of an Attribute Being Measured

When we want to do a statistical study, we need to first figure out the nature of the thing we're trying to measure. We need to determine what attribute we're going to measure, and how we're going to measure that attribute. Figuring this out can be surprisingly complex.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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Other Chapters

Other chapters within the Common Core Math Grade 6 - Statistics & Probability: Standards course

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