Recognize statistical questions.

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Transcript Recognize statistical questions.

Learning Objective
We will recognize1 statistical questions.
CFU
What are we going to do?
What does recognize mean?
Recognize means __________.
Activate Prior Knowledge
Determine the difference between the two question types.
Type A
Type B
“How many hours a week
does Jose spend on math
homework?”
“How many hours a week do
my classmates spend on
math homework?”
“What is the distance from
my house to school?”
“How far do my classmates
travel from home to school?”
“How much does my
backpack weigh?”
“How much does each
student’s backpack weigh
at my school?”
Make Connection
Students, some questions only
have one answer and others
have multiple answers.
Questions that have multiple
answers are good for exploring
real-life problems. Now, we will
recognize statistical questions.
Vocabulary
1
READY TO TEACHSM EDI® Lessons
©2013 All rights reserved.
know when you see it
CCSS 6th Grade Statistics and Probability 1.0
Recognize a statistical question as one that anticipates variability
in the data related to the question and accounts for it in the
answers. For example, “How old am I?” is not a statistical question,
but “How old are the students in my school?” is a statistical
question because one anticipates variability in students’ ages.
Lesson to be used by EDI-trained teachers only.
Concept Development
A statistical question expects variability2 in the data3 collected.
• A statistical question is a question that can be investigated4 by collecting a set of data.
Statistical Question
Javier spent 6 hours on math homework last week.
He wants to investigate how much time the students
in his classroom spend doing math homework.
Data Set
“How many hours a week do my
classmates spend on math homework?”
The statistical question can be answered by collecting data on
how many hours students spend on math homework in a week.
Variability in the data collected can be expected because
some students may finish homework faster than others.
Student
Hours
Javier
Alex
Anna
Nate
Sean
Mel
Jose
Shay
Jess
6
3
5
5
4
8
4
3
7
Student
Hours
Jose
4
NOT a Statistical Question
“How many hours a week does Jose
spend on math homework?”
©2013 All rights reserved.
CFU
Which question below is a
statistical question? How do
you know?
A
How many text messages
did I send yesterday?
B
How many text messages do
6th–graders send per day?
In your own words, what is a
statistical question?
A statistical question is _____.
Vocabulary
2
differences
information
4 examined closely
3
CCSS 6th Grade Statistics and Probability 1.0
Recognize statistical questions.
Lesson to be used by EDI-trained teachers only.
Skill Development/Guided Practice
A statistical question expects variability in the data collected.
• A statistical question is a question that can be investigated by collecting a set of data.
CFU
Recognize statistical questions.
1 Read the situation carefully.
2 Write a statistical question for the situation, if necessary.
3 Describe how data can be collected.
4 Explain variability in the data that can be expected.
1. Verla would like to gather information
on the number of computers her
classmates have at home.
2. Karl is interested in studying the
exercise habits of people in his city.
Statistical Question:
“How many computers do my
classmates have at home?”
Statistical Question:
“How often do people
in my city exercise?”
2 How did I/you write a
statistical question?
3 How did I/you describe how
data can be collected?
4 How did I/you explain any
variability in the data?
Application
Explain why the questions below
are NOT statistical questions.
T: How many computers does
my teacher have at home?
______________________
How can Verla investigate the question?
______________________________________
______________________________________
______________________________________
______________________________________
How can Karl investigate the question?
______________________________________
______________________________________
______________________________________
______________________________________
What variability in the data can be expected?
______________________________________
______________________________________
______________________________________
What variability in the data can be expected?
______________________________________
______________________________________
______________________________________
©2013 All rights reserved.
______________________
______________________
S: How often does Samantha
exercise?
______________________
______________________
______________________
CCSS 6th Grade Statistics and Probability 1.0
Recognize statistical questions.
Lesson to be used by EDI-trained teachers only.
Skill Development/Guided Practice (continued)
A statistical question expects variability in the data collected.
• A statistical question is a question that can be investigated by collecting a set of data.
CFU
Recognize statistical questions.
1 Read the situation carefully.
2 Write a statistical question for the situation, if necessary.
3 Describe how data can be collected.
4 Explain variability in the data that can be expected.
2 How did I/you write a
statistical question?
3 How did I/you describe how
data can be collected?
4 How did I/you explain any
variability in the data?
3. George would like to gather more
information on the size of the homes
in his neighborhood.
4. Tammy is interested in studying the
height of the students at her school.
Statistical Question:
“How large are the homes
in my neighborhood?”
Statistical Question:
“What is the height of the
students at my school?”
How can George investigate the question?
______________________________________
______________________________________
______________________________________
______________________________________
How can Tammy investigate the question?
______________________________________
______________________________________
______________________________________
______________________________________
What variability in the data can be expected?
______________________________________
______________________________________
______________________________________
What variability in the data can be expected?
______________________________________
______________________________________
______________________________________
©2013 All rights reserved.
Application
Explain why the questions below
are NOT statistical questions.
T: How heavy is each book in
our class set of history
textbooks?
______________________
______________________
______________________
S: How many days are in each
week of the year?
______________________
______________________
______________________
CCSS 6th Grade Statistics and Probability 1.0
Recognize statistical questions.
Lesson to be used by EDI-trained teachers only.
Relevance
A statistical question expects variability in the data collected.
• A statistical question is a question that can be investigated by collecting a set of data.
1 Recognizing statistical questions will help you investigate real-world problems.
Statistical Question:
How many families do not have affordable
health care in each of the US states?
2 Recognizing statistical questions will help you do well on tests.
Sample Test Question:
14.
Choose Yes or No to indicate whether each question is a statistical question.
A How many students are in the cafeteria?
O Yes O No
B What is the weight of the math book?
O Yes O No
C How many students are in each classroom?
O Yes O No
D What is the weight of each student’s backpack in the school?
O Yes O No
©2013 All rights reserved.
CFU
Does anyone else have another
reason why it is relevant to
recognize statistical questions?
(Pair-Share) Why is it relevant
to recognize statistical
questions? You may give one of
my reasons or one of your own.
Which reason is more relevant
to you? Why?
CCSS 6th Grade Statistics and Probability 1.0
Recognize statistical questions.
Lesson to be used by EDI-trained teachers only.
A statistical question expects variability in the data collected.
• A statistical question is a question that can be investigated by collecting a set of data.
Skill Closure
Recognize statistical questions.
1 Read the situation carefully.
2 Write a statistical question for the situation, if necessary.
3 Describe how data can be collected.
4 Explain variability in the data that can be expected.
1. Crystal would like to gather more
information on the amount of sleep
the students in her class are getting.
Statistical Question:
“How much do my
classmates sleep?”
Word Bank
How can Crystal investigate the question?
______________________________________
______________________________________
______________________________________
______________________________________
data
statistical
question
recognize
investigated
What variability in the data can be expected?
______________________________________
______________________________________
______________________________________
Access Common Core
Give an example of your own statistical question.
Explain how data can be collected, and what variations in the data can be expected.
Summary Closure
What did you learn today about recognizing statistical questions? (Pair-Share)
Use words from the word bank.
©2013 All rights reserved.
CCSS 6th Grade Statistics and Probability 1.0
Recognize statistical questions.
Lesson to be used by EDI-trained teachers only.
Independent Practice
A statistical question expects variability in the data collected.
• A statistical question is a question that can be investigated by collecting a set of data.
Recognize statistical questions.
1 Read the situation carefully.
2 Write a statistical question for the situation, if necessary.
3 Describe how data can be collected.
4 Explain variability in the data that can be expected.
1. Darlene is interested in studying the
number of pets living in the homes
on her street.
2. Allan would like to investigate the
weight of each book on the
bookshelf in his classroom.
Statistical Question:
“How many pets are living in
the homes on my street?”
Statistical Question:
“How much does each book
on the bookshelf weigh?”
Application
Explain why the questions below
are NOT statistical questions.
S: How much did I sleep last
night?
______________________
How can Darlene investigate the question?
______________________________________
______________________________________
______________________________________
______________________________________
How can Allan investigate the question?
______________________________________
______________________________________
______________________________________
______________________________________
What variability in the data can be expected?
______________________________________
______________________________________
______________________________________
What variability in the data can be expected?
______________________________________
______________________________________
______________________________________
©2013 All rights reserved.
______________________
______________________
S: How many hours do we
spend at school each day?
______________________
______________________
______________________
CCSS 6th Grade Statistics and Probability 1.0
Recognize statistical questions.
Lesson to be used by EDI-trained teachers only.
Periodic Review 1
1. Luis would like to investigate the
daily temperatures over the past
month.
Statistical Question:
“What were the daily
temperatures last month?”
How can Luis investigate the question?
______________________________________
______________________________________
______________________________________
______________________________________
What variability in the data can be expected?
______________________________________
______________________________________
______________________________________
Access Common Core
1. Choose Yes or No to indicate whether each question is a statistical question.
A How many students are in the cafeteria?
O Yes
B What is the weight of the math book?
O Yes
C How many students are in each classroom?
O Yes
D What is the weight of each student’s backpack in the school?
O Yes
O No
O No
O No
O No
2. Choose Yes or No to indicate whether each question is a statistical question.
A How many hours does each teacher spend preparing for class?
O Yes
B What is the height of the flag pole?
O Yes
C How many students are in my classroom?
O Yes
D What is the shoe size of each student in my classroom?
O Yes
O No
O No
O No
O No
©2013 All rights reserved.
CCSS 6th Grade Statistics and Probability 1.0
Recognize statistical questions.
Lesson to be used by EDI-trained teachers only.
Periodic Review 2
1. Leslie would like to gather more
information on the number of
students in each class at her school.
Statistical Question:
“How many students are in
each class at my school?”
How can Leslie investigate the question?
______________________________________
______________________________________
______________________________________
______________________________________
What variability in the data can be expected?
______________________________________
______________________________________
______________________________________
Access Common Core
Statistical Question: How tall are the students?
For the statistical question above, determine which choice would cause the
data to have a greater variability. Explain your answer.
i. Asking the question to the students in your classroom
ii. Asking the question to the students in your entire school.
©2013 All rights reserved.
CCSS 6th Grade Statistics and Probability 1.0
Recognize statistical questions.
Lesson to be used by EDI-trained teachers only.
Periodic Review 3
1. Mr. Zackary is studying the scores of
his class on their last test.
Statistical Question:
“What are the scores of the
students on the last test?”
How can Mr. Zackary investigate the question?
______________________________________
______________________________________
______________________________________
______________________________________
What variability in the data can be expected?
______________________________________
______________________________________
______________________________________
Access Common Core
Mrs. Johnson often talks about how great her students are at reading.
Mr. Zackary knows his students are just as strong at reading. Write a
statistical question that Mr. Zackary can ask to determine how good
the students in Mrs. Johnson’s and Mr. Zackary’s class are at reading.
©2013 All rights reserved.
CCSS 6th Grade Statistics and Probability 1.0
Recognize statistical questions.
Lesson to be used by EDI-trained teachers only.
EDI – Cognitive, Teaching, and English Learner Strategies
Learning Objective: We will recognize statistical questions.
Cognitive Strategies
Elaboration
Teaching Strategies
Demonstration
Language Strategies
Academic
Targeted
Vocabulary
Content
recognize, variability, investigate
statistical question
Support
Multiple-Meaning
Synonym
Vocabulary
Strategy
Definition
variability
recognize, investigate, statistical question
Homophone
Internal Context Clue
Listen, Speak
Similar Sounds
Read
Tracked Reading
Write
Writing
Content Access Strategies
Comprehensible
Input
Cognates
Graphic Organizer
Contextual Clues
©2013 All rights reserved.
Contextualized
Definitions
Pictures
CCSS 6th Grade Statistics and Probability 1.0
Recognize statistical questions.
Lesson to be used by EDI-trained teachers only.