Transcript Document

21st Century Lessons
Shapes of Distributions
Unit 3 – Introduction of
Concepts
1
Warm Up
OBJECTIVE: SWBAT understand the concept of a statistical question, and
develop a method to collect data to answer a statistical question.
1) How many letters are in your middle name?
2) Ask 5 class mates how many letters are in their middle names,
and write them down.
3) Based on the results from question 2, try to guess how many
letters the next person has in their middle name. Explain why
you guessed this!
Agenda
2
Launch A
Vocabulary
What is the definition of a statistical question?
A statistical question is a question where the answer can
change depending on who it is asked to, and when it is
asked.
This kind of change is called variability.
Agenda
3
Launch B
(Wait time: 30 seconds for each question)
Can you determine whether the following questions are
statistical question or not?
1. What did everyone in the class eat for breakfast today?
Statistical Question! …Why?
2. What did YOU eat for breakfast today?
Not a statistical Question… Why?
3. How many people in the class ate breakfast today?
Not a statistical Question…Why?
4. Who was the first president of the U.S.A.?
Not a statistical Question… Why?
5. How many points does Lebron James have in each game?
Statistical Question! … Why?
Agenda
4
Launch B
(Wait time: 30 seconds)
Can you come up with your own
statistical question?
•Remember to explain why it is a statistical question!
Agenda
5
Launch B
Let’s go back to our warm up question:
How many letters are in each students middle name?
Answers:
Frequency
Mrs. Smith's Class
5
4
3
2
1
0
0
1
2
3
4
5
6
7
8
Number of Letters
“I have no idea what all these numbers are saying! If only I could
organize them better…”
Agenda
6
Launch C
The answers for our statistical questions have a special name.
They are called our data.
Data: The counts, measurements, or opinions that are
collected to answer a statistical question.
Notice how some of the numbers in our data show up more
than once. This has a special name as well:
Frequency: The number of times an answer shows up in the
data.
Agenda
7
Explore
Click on the timer!
Part 1 - (10 Min)
Work with your PARTNER to find an
efficient and neat method of
displaying the data we’ve collected.
You will get a piece of graph paper
and a ruler. You can:
1-Partners
2-Share Out
3-Worksheet
- Organize however you’d like
- Develop and answer your own
questions
- Be Creative!
In 10 minutes you will be asked to stop and think about it!
Data
8
Agenda
Explore – Student Share Out
Part 2 - (3 Min)
Students share out work.
Classwork Questions
Agenda
9
Explore – Complete top half of worksheet
Part 3 - (5 Min)
Fill out the top half of your worksheet.
Agenda
10
Summary – Interactive Worksheet
We are going to complete the rest of the worksheet together. You
will fill in the boxes at the bottom of the first side as we go.
Agenda
11
Summary
What are some differences between statistical questions
and non statistical questions?
1) Statistical questions have more than one answer..
2) Statistical questions vary according to who answers, where
it is answered, and when it is answered.
3) The answer to statistical questions is in the form of data.
4) …and many more!
Agenda
12
Summary – How to Make a Line Plot
A jogger wrote down how many miles he ran on ten different
days. These were his results:
2, 3, 5, 2, 4, 4, 2, 7, 2, 3:
We are going to create a visual representation of this data
called a Line Plot. Copy this down in the space for problem 6.
Agenda
13
Summary – How to Make a Line Plot
Miles: 2, 3, 5, 2, 4, 4, 2, 7, 2, 3:
2,
2,a3,
4,
4,
5,in7in
Step
3.
4. Title
Put
2:
Draw
an
your
“X”
ahave
number
over
each
line,
linenumber
that
and2,contains
create
represent
key.
all 3,
the
an
numbers
item
Step
1:
Organize
the
data.
Now
you
made
a2,to Line
Plot!
your
your
data.
data.
X
X
X
X
1
2
Amount of Miles Run
X
X
X
X
X
3
4
5
One
Four
Two
runs
run
runs
was
were
were
five
three
four
two
miles
miles
miles
long.
long.
long.
… and
one
run
was
seven
miles long.
Steps:
1. Organize
2. Draw
3. Title/Key
4. Put in X’s
X
6
7
8
Key:
X – one run
Agenda
14
Summary – How to Make a Bar Graph
Pizza hut surveyed 10 people to find out what kind
of pizza they liked. Here were the results:
Cheese, Pepperoni, Cheese, Mushroom, Pineapple,
Cheese, Pepperoni, Chicken, Chicken, Pepperoni
Let’s Make a Bar Graph to organize this to interpret this
data better. Copy this down in the space for problem 7.
Agenda
15
Summary – How to Make a Bar Graph
Favorite Pizza: Cheese, Pepperoni, Cheese, Mushroom, Pineapple,
Cheese, Pepperoni, Chicken, Chicken, Pepperoni
Steps:
Step
Step
2.4.
Create
Create
aagraph
the
baryou
data.
over
with
the
Cheese
the
type
choices
–of2,pizza
Pepperoni
on the
to
– 3, Chicken – 2, Pineapple
1. Organize
– 1,
Step1.
3.Organize
Make sure
title
and
label
your
bottom,
represent
how
numbers
many times
on the
Mushroom
itleft.
shows
Make
up– in
sure
1 your
2. Create Graph
graph. and
these
data. numbers cover your frequency.
3. Title/Label
Favorite Types of Pizza
4. Create Bars
4
You have now created a Bar Graph!
Three
Two
One
…
and
people
person
people
one person
prefers
prefer
preferprefers
chicken
Pepperoni
Cheese
pineapple
mushroom.
3
Frequency
2
1
Cheese
Pepperoni Chicken
Pineapple
Mushroom
Types of Pizza
Agenda
16
(2 minutes)
Summary
#8) Your little cousin keeps
Hey big cuz!!!
bugging you about what you do in
sixth grade all day! Explain what
you did in math class to get him
to leave you alone.
• In the space for #12, write
him/her a note explaining what
you learned so far today.
•Use complete sentences.
Scaffolding
17
Agenda
(2 minutes)
Summary
#8) Your little cousin keeps
Hey big cuz!!!
bugging you about what you do in
sixth grade all day! Explain what
you did in math class to get him
to leave you alone.
• In the space for #8, write
him/her a note explaining what
you learned so far today.
•Use complete sentences.
Scaffolding
18
Sentence Starter
“Even though you are too young to
understand this as well as I have learned
it, I’m going to explain it to you as
carefully as possible…”
Agenda
Practice – Interactive Worksheet
Many kids learn better when the alternate solving problems with
their teacher. Watch me solve one, and then you’ll do one,
then I’ll do one…
Agenda
19
Practice: Is the following a statistical question?
#1) How many times
have your been on an
airplane?
Yes = _____
No = ____
Show answers to #1
#2) How long does it
take to get your
haircut?
Yes = _____
No = ______
Show answers to #2
Agenda
20
Practice: Is the following a statistical question?
#1) How many times
have your been on an
airplane?
Yes = _____
√
No = ____
Show answers to #1
#2) How long does it
take to get your
haircut?
Yes = _____
No = ______
Show answers to #2
Agenda
21
Practice: Is the following a statistical question?
#1) How many times
have your been on an
airplane?
Yes = _____
√
No = ____
Show answers to #1
#2) How long does it
take to get your
haircut?
√
Yes = _____
No = ______
Show answers to #2
Agenda
22
Practice: Is the following a statistical question?
#3) Does A, B, C, or D
show up most often
on the MCAS?
Yes = _____
No = ____
Show answers to #1
#4) What is everyone in
the classes favorite
flavor ice cream?
Yes = _____
No = ______
Show answers to #2
Agenda
23
Practice: Is the following a statistical question?
#3) Does A, B, C, or D
show up most often
on the MCAS?
Yes = _____
√
No = ____
Show answers to #1
#4) What is everyone in
the classes favorite
flavor ice cream?
Yes = _____
No = ______
Show answers to #2
Agenda
24
Practice: Is the following a statistical question?
#3) Does A, B, C, or D
show up most often
on the MCAS?
Yes = _____
√
No = ____
Show answers to #1
#4) What is everyone in
the classes favorite
flavor ice cream?
√
Yes = _____
No = ______
Show answers to #2
Agenda
25
Practice: Is the following a statistical question?
#5) What is the best
way to study for a
math test?
Yes = _____
No = ____
Show answers to #1
#6) How many hours of
sleep do you get at
night?
Yes = _____
No = ______
Show answers to #2
Agenda
26
Practice: Is the following a statistical question?
#5) What is the best
way to study for a
math test?
√
Yes = _____
No = ____
Show answers to #1
#6) How many hours of
sleep do you get at
night?
Yes = _____
No = ______
Show answers to #2
Agenda
27
Practice: Is the following a statistical question?
#5) What is the best
way to study for a
math test?
√
Yes = _____
No = ____
Show answers to #1
#6) How many hours of
sleep do you get at
night?
√
Yes = _____
No = ______
Show answers to #2
Agenda
28
Practice: Is the following a statistical question?
#7) What is the best
song ever?
Yes = _____
No = ____
Show answers to #1
#8) What is the formula
for the area of a
parallelogram?
Yes = _____
No = ______
Show answers to #2
Agenda
29
Practice: Is the following a statistical question?
#7) What is the best
song ever?
√
Yes = _____
No = ____
Show answers to #1
#8) What is the formula
for the area of a
parallelogram?
Yes = _____
No = ______
Show answers to #2
Agenda
30
Practice: Is the following a statistical question?
#7) What is the best
song ever?
√
Yes = _____
No = ____
Show answers to #1
#8) What is the formula
for the area of a
parallelogram?
Yes = _____
√
No = ______
Show answers to #2
Agenda
31
Practice: Interpreting Line Plots
I wanted to see how many hours a night I slept, and
collected the data over the last 10 days in the line plot show
below
9 a) What was the
most sleep I got in
one night?
Show answers to 9a)
32
Agenda
Practice: Interpreting Line Plots
I wanted to see how many hours a night I slept, and
collected the data over the last 10 days in the line plot show
below
9 a) What was the
most sleep I got in
one night?
10 hours
Show answers to 9a)
33
Agenda
Practice: Interpreting Line Plots
I wanted to see how many hours a night I slept, and
collected the data over the last 10 days in the line plot show
below
9 b) What was the
least amount of
sleep I got in one
night?
Show answers to 9b)
34
Agenda
Practice: Interpreting Line Plots
I wanted to see how many hours a night I slept, and
collected the data over the last 10 days in the line plot show
below
9 b) What was the
least amount of
sleep I got in one
night?
6 hours
Show answers to 9b)
35
Agenda
Practice: Interpreting Line Plots
I wanted to see how many hours a night I slept, and
collected the data over the last 10 days in the line plot show
below
9 c) What was the
most common
amount of sleep I
get?
Show answers to 9c)
36
Agenda
Practice: Interpreting Line Plots
I wanted to see how many hours a night I slept, and
collected the data over the last 10 days in the line plot show
below
9 c) What was the
most common
amount of sleep I
get?
8 hours
Show answers to 9c)
37
Agenda
Practice: Interpreting Line Plots
I wanted to see how many hours a night I slept, and
collected the data over the last 10 days in the line plot show
below
9 d) How many
nights did I sleep
less than 9 hours?
Show answers to 9d)
38
Agenda
Practice: Interpreting Line Plots
I wanted to see how many hours a night I slept, and
collected the data over the last 10 days in the line plot show
below
9 d) How many
nights did I sleep
less than 9 hours?
8 nights
Show answers to 9d)
39
Agenda
Practice: Interpreting Line Plots
I wanted to see how many hours a night I slept, and
collected the data over the last 10 days in the line plot show
below
9 e) How many
nights did I sleep 7
hours?
Show answers to 9e)
40
Agenda
Practice: Interpreting Line Plots
I wanted to see how many hours a night I slept, and
collected the data over the last 10 days in the line plot show
below
9 e) How many
nights did I sleep 7
hours?
3 nights
Show answers to 9e)
41
Agenda
Practice: Interpreting Bar Graphs
I asked a bunch of people what their favorite sport was,
and represented the data in the bar graph shown below.
10 a) How many
people did I ask?
17 people
Show answers to 10a)
42
Agenda
Practice: Interpreting Bar Graphs
I asked a bunch of people what their favorite sport was,
and represented the data in the bar graph shown below.
10 a) How many
people did I ask?
17 people
Show answers to 10a)
43
Agenda
Practice: Interpreting Bar Graphs
I asked a bunch of people what their favorite sport was, and
represented the data in the bar graph shown below.
10 b) What was
the least popular
sport?
Show answers to 10b)
44
Agenda
Practice: Interpreting Bar Graphs
I asked a bunch of people what their favorite sport was, and
represented the data in the bar graph shown below.
10 b) What was
the least popular
sport?
Hockey
Show answers to 10b)
45
Agenda
Practice: Interpreting Bar Graphs
I asked a bunch of people what their favorite sport was, and
represented the data in the bar graph shown below.
10 c) What was
the most popular
sport?
Show answers to 10c)
46
Agenda
Practice: Interpreting Bar Graphs
I asked a bunch of people what their favorite sport was, and
represented the data in the bar graph shown below.
10 c) What was
the most popular
sport?
Football
Show answers to 10c)
47
Agenda
Practice: Interpreting Bar Graphs
I asked a bunch of people what their favorite sport was,
and represented the data in the bar graph shown below.
10 d) How many
people DIDN’T
like baseball?
Show answers to 10d)
48
Agenda
Practice: Interpreting Bar Graphs
I asked a bunch of people what their favorite sport was,
and represented the data in the bar graph shown below.
10 d) How many
people DIDN’T
like baseball?
12 people
Show answers to 10d)
49
Agenda
Practice: Interpreting Bar Graphs
I asked a bunch of people what their favorite sport was, and
represented the data in the bar graph shown below.
10 e) How many
people like either
football or hockey?
Show answers to 10e)
50
Agenda
Practice: Interpreting Bar Graphs
I asked a bunch of people what their favorite sport was, and
represented the data in the bar graph shown below.
10 e) How many
people like either
football or hockey?
8 people
Show answers to 10e)
51
Agenda
Assessment – Exit Ticket!
Complete and hand in
the Exit Ticket before
you leave!
Agenda
52