U10 The Shape of Distributions
Nice job on the last test! The scores are in PowerSchool.
T1
My Responsibilities Apr 13
Due 4/13
1. Check-your-understanding questions (CYUQs): Do your own, you choose where to start, check your work with the students around you. If you need help, get help. If someone needs help, give help.
p815 10, 11, 12, 13; p813: 1, 2, 3, 4; p812: 1, 2 (Volume 2, Chapter 11, Lesson 1)
2. Write down at least three things to remember about this topic in your math notebook (include examples)
3. Don't give up! If you get stuck, choose to persevere: review your thinking, try another approach, ask for help, search
After completing the Check-your-understanding Questions, which were important for everyone to do?
Pick one or two problems that you did and show your work to you seat partner.
1. I asked 8 students how many pets they have at home. This is the data: 4, 2, 3, 1, 3, 0, 4, 3
What is the mean?
2. Find the absolute value for the following:
a. |-38|
b. |16 - 7|
* Reminder: absolute value is the distance a number is from 0
The Mean Absolute Deviation is the average distance between each data value and the mean.
To find the MAD:
1. Find the mean of the data set.
2. Find the absolute value of the difference of the mean and each data point |data point - mean|
3. Find the mean of the absolute values you found in Step Two.
T2
My Responsibilities Apr 14
Due 4/14
1. Check-your-understanding questions (CYUQs): Do your own, you choose where to start, check your work with the students around you. If you need help, get help. If someone needs help, give help.
2. Write down at least three things to remember about this topic in your math notebook (include examples)
3. Don't give up! If you get stuck, choose to persevere: review your thinking, try another approach, ask for help, search
The data set represents the number of times six students checked their phone in an hour:
6, 5, 9, 2, 0, 8
Find the Mean Absolute Deviation (M.A.D.)
The Mean Absolute Deviation (MAD) helps us to see how spread out the data is (relative to the mean).
Data that are similar to each other will have a smaller number (spread), whereas data that are more different from each other will have a larger number (spread).
When would you use this in real-life?
Within statistics, there are two large categories:
Measures of Central Tendency
Measures of Variability
Let's review, compare and contrast, and glue the graphic organizer into our notebooks.
12, 14, 14, 16, 20, 22, 25, 29
15, 8, 20, 10, 18, 5, 12, 8
26, 18, 32, 22, 15, 28, 18, 37, 24, 20
Grab calculators!
Write down at least three things to remember about this topic in your math notebook (include examples)
T3
My Responsibilities Apr 15
Due 4/15
1. Check-your-understanding questions (CYUQs): Do your own, you choose where to start, check your work with the students around you. If you need help, get help. If someone needs help, give help.
* Be sure to choose at least 3 from each of the three types of problem sets (for a total of 9 practice problems)
2. Write down at least three things to remember about this topic in your math notebook (include examples)
3. Don't give up! If you get stuck, choose to persevere: review your thinking, try another approach, ask for help, search
After completing the Check-your-understanding questions, which were important for everyone to do?
Pick one or two problems that you did and show your work to you seat partner.
Min: smallest number in the data set
Max: largest number in the data set
Q1: the median of the lower half of a data set
Q2: median or middle of the entire data set
Q3: the median of the upper half of the data set
* To identify each part of the Five-Number Summary, the data set must be ORDERED least to greatest
Steps for finding Min, Max, Q1, Median (Q2), and Q3:
1. ORDER the data from least to greatest
2. Circle the median
3. Draw a triangle around the median in the LOWER half of the data set
4. Draw a rectangle around the median in the UPPER half of the data set
5. Label each of the five items in the Five-Number Summary
If the data set has an even number of values, the median is the average of the middle 2 values in the data set.
If the data set has an odd number of values, DO NOT include the median when finding the first and third quartiles.
T4
My Responsibilities Apr 16
Due 4/16
1. Check-your-understanding questions (CYUQs): Do your own, you choose where to start, check your work with the students around you. If you need help, get help. If someone needs help, give help.
Do at least three of the problems with an EVEN number of items in the data set:
Do at least three of the problems with an ODD number of items in the data set:
Do at least two problems with 10 - 16 items in the data set:
2. Write down at least three things to remember about this topic in your math notebook (include examples)
3. Don't give up! If you get stuck, choose to persevere: review your thinking, try another approach, ask for help, search
Come by the library to grab a book to read after you complete your testing
Turn-taking ----------------------> Collaboration
When you work with your team (x), you learn and grow (y)
Turn-taking ----------------------> Collaboration
When you work with your team (x), you learn and grow (y)
After completing the Check-your-understanding questions, which were important for everyone to do?
Pick one or two problems that you did and show your work to you seat partner.
Quartiles: values that divide the data set into four equal parts.
Each quartile represents 25% of the data.
Interquartile Range (IQR): the distance between Q1 and Q3
Retake postponed until NEXT Friday April 30
Papers are available on the bottom shelf of the bookshelf near Mr. Olsen's desk.
Thursday is a retake day. Papers are available on the bottom shelf of the bookshelf near Mr. Olsen's desk.
Tomorrow is a retake day. Papers are available on the bottom shelf of the bookshelf near Mr. Olsen's desk.
Rally day
Why, How, and What
In order to make sense of the world (DI1), students will look for and make use of structure (SMP7) and construct viable arguments and critique the reasoning of others (SMP3) while reasoning with data (CC1).
Grade Six Content Standards
Consider the distribution of data sets - look at their shape and consider measures of center and variability to describe the data and the situation which is being investigated. (p33)
SP2. 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.
SP3. 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.
SP5. Summarize numerical data sets in relation to their context, such as by:
a. Reporting the number of observations.
b. Describing the nature of the attribute under investigation, including how it was measured and its units of measurement.
c. 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.
d. 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.
Nice job on the last test! The scores are in PowerSchool.
T1
My Responsibilities Apr 13
Due 4/13
1. Check-your-understanding questions (CYUQs): Do your own, you choose where to start, check your work with the students around you. If you need help, get help. If someone needs help, give help.
p815 10, 11, 12, 13; p813: 1, 2, 3, 4; p812: 1, 2 (Volume 2, Chapter 11, Lesson 1)
2. Write down at least three things to remember about this topic in your math notebook (include examples)
3. Don't give up! If you get stuck, choose to persevere: review your thinking, try another approach, ask for help, search
After completing the Check-your-understanding Questions, which were important for everyone to do?
Pick one or two problems that you did and show your work to you seat partner.
1. I asked 8 students how many pets they have at home. This is the data: 4, 2, 3, 1, 3, 0, 4, 3
What is the mean?
2. Find the absolute value for the following:
a. |-38|
b. |16 - 7|
* Reminder: absolute value is the distance a number is from 0
The Mean Absolute Deviation is the average distance between each data value and the mean.
To find the MAD:
1. Find the mean of the data set.
2. Find the absolute value of the difference of the mean and each data point |data point - mean|
3. Find the mean of the absolute values you found in Step Two.
T2
My Responsibilities Apr 14
Due 4/14
1. Check-your-understanding questions (CYUQs): Do your own, you choose where to start, check your work with the students around you. If you need help, get help. If someone needs help, give help.
2. Write down at least three things to remember about this topic in your math notebook (include examples)
3. Don't give up! If you get stuck, choose to persevere: review your thinking, try another approach, ask for help, search
The data set represents the number of times six students checked their phone in an hour:
6, 5, 9, 2, 0, 8
Find the Mean Absolute Deviation (M.A.D.)
The Mean Absolute Deviation (MAD) helps us to see how spread out the data is (relative to the mean).
Data that are similar to each other will have a smaller number (spread), whereas data that are more different from each other will have a larger number (spread).
When would you use this in real-life?
Within statistics, there are two large categories:
Measures of Central Tendency
Measures of Variability
Let's review, compare and contrast, and glue the graphic organizer into our notebooks.
12, 14, 14, 16, 20, 22, 25, 29
15, 8, 20, 10, 18, 5, 12, 8
26, 18, 32, 22, 15, 28, 18, 37, 24, 20
Grab calculators!
Write down at least three things to remember about this topic in your math notebook (include examples)
T3
My Responsibilities Apr 15
Due 4/15
1. Check-your-understanding questions (CYUQs): Do your own, you choose where to start, check your work with the students around you. If you need help, get help. If someone needs help, give help.
* Be sure to choose at least 3 from each of the three types of problem sets (for a total of 9 practice problems)
2. Write down at least three things to remember about this topic in your math notebook (include examples)
3. Don't give up! If you get stuck, choose to persevere: review your thinking, try another approach, ask for help, search
After completing the Check-your-understanding questions, which were important for everyone to do?
Pick one or two problems that you did and show your work to you seat partner.
Min: smallest number in the data set
Max: largest number in the data set
Q1: the median of the lower half of a data set
Q2: median or middle of the entire data set
Q3: the median of the upper half of the data set
* To identify each part of the Five-Number Summary, the data set must be ORDERED least to greatest
Steps for finding Min, Max, Q1, Median (Q2), and Q3:
1. ORDER the data from least to greatest
2. Circle the median
3. Draw a triangle around the median in the LOWER half of the data set
4. Draw a rectangle around the median in the UPPER half of the data set
5. Label each of the five items in the Five-Number Summary
If the data set has an even number of values, the median is the average of the middle 2 values in the data set.
If the data set has an odd number of values, DO NOT include the median when finding the first and third quartiles.
T4
My Responsibilities Apr 16
Due 4/16
1. Check-your-understanding questions (CYUQs): Do your own, you choose where to start, check your work with the students around you. If you need help, get help. If someone needs help, give help.
Do at least three of the problems with an EVEN number of items in the data set:
Do at least three of the problems with an ODD number of items in the data set:
Do at least two problems with 10 - 16 items in the data set:
2. Write down at least three things to remember about this topic in your math notebook (include examples)
3. Don't give up! If you get stuck, choose to persevere: review your thinking, try another approach, ask for help, search
Come by the library to grab a book to read after you complete your testing
Turn-taking ----------------------> Collaboration
When you work with your team (x), you learn and grow (y)
Turn-taking ----------------------> Collaboration
When you work with your team (x), you learn and grow (y)
After completing the Check-your-understanding questions, which were important for everyone to do?
Pick one or two problems that you did and show your work to you seat partner.
Quartiles: values that divide the data set into four equal parts.
Each quartile represents 25% of the data.
Interquartile Range (IQR): the distance between Q1 and Q3
Retake postponed until NEXT Friday April 30
Papers are available on the bottom shelf of the bookshelf near Mr. Olsen's desk.
Thursday is a retake day. Papers are available on the bottom shelf of the bookshelf near Mr. Olsen's desk.
Tomorrow is a retake day. Papers are available on the bottom shelf of the bookshelf near Mr. Olsen's desk.
Rally day