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Mathematics

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6th Grade

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CCSS.MATH.CONTENT.6.SP.A.1

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

CCSS.MATH.CONTENT.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.

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Today, we will be learning the importance of mean, median, mode, and range. We will begin the lesson by learning a few vocabulary words needed to understand this lesson. I will then give you a brief history as to how mean, median, mode, and range came into play!

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You will be able to define mean, median, mode, and range in word definitions.

You will be able to investigate what it means to find the mean, median, mode, and range by creating your own data set.

You will be able to explain to your peers the importance of mean, median, mode, and range.

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In school, the final grade you get in a course is usually a mean.

Average expenditure per month on your cell phone bill or any other payments given by your parents or yourself.

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When discussing the income or the income of two places we use the median to figure it out.

Calculating the amount of students in a school.

Calculating the amount of money an average citizen earns in their town and compared to those in other towns.

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The median is the “Middle” value in a set of numbers.

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The mean also known as “Average,” is the average set of all the numbers.

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The mode is the number that appears most often in a set of numbers.

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The difference between the lowest and highest values.

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Who invented mean, median, mode, and range?

“The Belgian statistician Quetelet (1796-1874), famous as the inventor of L'homme moyen, the average man, was one of the first scientists to use the mean as the representative value for an aspect of a population.”

The oldest historical example of mean, median, mode, and range!

“In an ancient Indian story, Rtuparna estimated the number of leaves and fruit on two great branches of a spreading tree (Hacking 1975). He estimated the number on the basis of one single twig, which he multiplied by the estimated number of twigs on the branches and found a number, which after a night of counting turned out to be very close to the real number. “

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You will need the following...

Pencil

Highlighters

I will be providing the following…

Fortune cookies

Worksheet

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I will begin this activity by passing around a basket filled with fortune cookies. You will then choose 3 random fortune cookies from the basket. Your fortune cookie will provide you with a set of lucky numbers. Your job is to record the lucky numbers by finding the mean, median, mode, and range for each set of your lucky numbers.

Once giving you enough time to record your set of numbers on a sheet of paper, you will explain your answers to your shoulder peers and assess each other's work.

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After concluding our activity, we will hold an in-class discussion and rely on what we have learned. We will answer simple questions such as, “What did we think about the activity?” and “What were some of our lucky numbers after recording the median, mean, mode, and range?”

After going over these questions and possibly more, I will pick 3 fortune cookies. I will write down my 3 set of lucky numbers on the white board and with the help of you, I will be able to find the mean, median, mode, and range.

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You will be assigned a worksheet to take home and finish. The worksheet will consist of finding the mean, median, mode, and range of a set of numbers. The worksheet will be collected at the beginning of class, the next day.

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“Grade 6 " Statistics & Probability " Develop Understanding of Statistical Variability. " 3.” Grade 6 " Statistics & Probability " Develop Understanding of Statistical Variability. " 3 | Common Core State Standards Initiative, http://www.corestandards.org/Math/Content/6/SP/A/3/. Accessed 9 Dec 2019.

“Grade 6 " Statistics & Probability " Develop Understanding of Statistical Variability. " 1.” Grade 6 " Statistics & Probability " Develop Understanding of Statistical Variability. " 1 | Common Core State Standards Initiative, http://www.corestandards.org/Math/Content/6/SP/A/1/. Accessed 9 Dec 2019.

“Mean.” Definition Of, https://www.mathsisfun.com/definitions/mean.html. Accessed 13 Dec 2019.

“Median.” Definition Of, https://www.mathsisfun.com/definitions/median.html. Accessed 13 Dec 2019.

“Mode.” Definition Of, https://www.mathsisfun.com/definitions/mode.html. Accessed 13 Dec 2019.

Teach Junkie. “Range Median Mode: 24 Quick, Free Activities and Resources.” Teach Junkie, 3 June 2017, https://www.teachjunkie.com/math-subject/24-free-range-median-mode/. Accessed 10 Dec 2019.

Teachers Pay Teachers, https://www.teacherspayteachers.com/FreeDownload/Mean-Median-Mode-and-Range-3173385. Accessed 10 Dec 2019.

“The Early History of Average Values and Implications for Education.” Journal of Statistics Education, V11N1: Bakker, http://jse.amstat.org/v11n1/bakker.html. Accessed 10 Dec 2019.