21 st century lessons shapes of distributions unit 3 – introduction of concepts 1
TRANSCRIPT
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21st Century Lessons
Shapes of Distributions
Unit 3 – Introduction of Concepts
1
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Warm Up
Agenda
2
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!
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.
OBJECTIVE: SWBAT understand the concept of a statistical question, and develop a method to collect data to answer a statistical question.
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Agenda:OBJECTIVE: SWBAT understand the concept of a statistical question, and develop a method to collect data to answer a statistical question.
1) Warm Up
2) Launch – What is a statistical question?
3) Explore – Group activity: Collecting Data
4) Summary – Introduce a Line Plot and Bar Graph
5) Practice – Interactive worksheet
6) Assessment – Exit Ticket
3
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Launch A
4
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.
Vocabulary
Agenda
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Launch B
5
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?
(Wait time: 30 seconds for each question)
Agenda
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Launch B
6
(Wait time: 30 seconds)
Can you come up with your own statistical question?
• Remember to explain why it is a statistical question!
Agenda
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Launch B
7
Let’s go back to our warm up question: How many letters are in each students middle name?
Answers:
“I have no idea what all these numbers are saying! If only I could organize them better…”
Agenda
0 1 2 3 4 5 6 7 8012345
Mrs. Smith's Class
Number of Letters
Freq
uenc
y
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Launch C
8
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
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Explore
9
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:
- Organize however you’d like- Develop and answer your own
questions- Be Creative!
1-Partners2-Share Out
3-Worksheet
In 10 minutes you will be asked to stop and think about it!
Data
Click on the timer!
Agenda
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Explore – Student Share Out
10
Part 2 - (3 Min)
Students share out work.
Classwork Questions
Agenda
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Explore – Complete top half of worksheetPart 3 - (5 Min)
11
Fill out the top half of your worksheet.
Agenda
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Summary – Interactive Worksheet
12
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
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Summary
13
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
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Summary – How to Make a Line Plot
14
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
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Step 3. Title your number line, and create a key.Step 4. Put an “X” over each number to represent an item in your data.
Step 2: Draw a number line that contains all the numbers in your data.
Now you have made a Line Plot!
Four runs were two miles long.Two runs were three miles long.Two runs were four miles long.One run was five miles long.
Step 1: Organize the data. 2, 2, 2, 2, 3, 3, 4, 4, 5, 7
Miles:
1 2 3 4 5 6 7 8
Amount of Miles Run
… and one run was seven miles long.
Summary – How to Make a Line Plot
15
Key:X – one run
XXXX
XX
XX X X
2, 3, 5, 2, 4, 4, 2, 7, 2, 3: Steps:1. Organize2. Draw3. Title/Key 4. Put in X’s
Agenda
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Summary – How to Make a Bar Graph
16
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
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Three people prefer PepperoniTwo people prefer chicken
Cheese – 2, Pepperoni – 3, Chicken – 2, Pineapple – 1, Mushroom – 1
Step 2. Create a graph with the choices on the bottom, and numbers on the left. Make sure these numbers cover your frequency.
Step 3. Make sure you title and label your graph.
One person prefers pineapple
Cheese, Pepperoni, Cheese, Mushroom, Pineapple, Cheese, Pepperoni, Chicken, Chicken, Pepperoni
Favorite Pizza:
Cheese Pepperoni Chicken Pineapple Mushroom
Types of Pizza
Frequency
Favorite Types of Pizza
Step 4. Create a bar over the type of pizza to represent how many times it shows up in your data.
… and one person prefers mushroom.
You have now created a Bar Graph!
Summary – How to Make a Bar Graph
17
Step 1. Organize the data.
4
3
2
1
Three people prefer Cheese
Steps:1. Organize2. Create Graph3. Title/Label 4. Create Bars
Agenda
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Summary
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#8) Your little cousin keeps 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.
(2 minutes)
Scaffolding
Hey big cuz!!!
Agenda
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Summary
19
#8) Your little cousin keeps 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.
(2 minutes)
Scaffolding
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…”
Hey big cuz!!!
Agenda
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Practice – Interactive Worksheet
20
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
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Practice: Is the following a statistical question?
21
#1) How many times have your been on an airplane?
Yes = _____
No = ____
#2) How long does it take to get your haircut?
No = ______
Yes = _____
Show answers to #1 Show answers to #2
Agenda
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Practice: Is the following a statistical question?
22
#1) How many times have your been on an airplane?
Yes = _____
No = ____ √
#2) How long does it take to get your haircut?
No = ______
Yes = _____
Agenda
Show answers to #1 Show answers to #2
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Practice: Is the following a statistical question?
23
#1) How many times have your been on an airplane?
Yes = _____
No = ____
#2) How long does it take to get your haircut?
No = ______
Yes = _____ √
Agenda
Show answers to #1 Show answers to #2
√
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Practice: Is the following a statistical question?
24
#3) Does A, B, C, or D show up most often on the MCAS?
Yes = _____
No = ____
#4) What is everyone in the classes favorite flavor ice cream?
No = ______
Yes = _____
Show answers to #1 Show answers to #2
Agenda
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Practice: Is the following a statistical question?
25
#3) Does A, B, C, or D show up most often on the MCAS?
Yes = _____
No = ____ √
#4) What is everyone in the classes favorite flavor ice cream?
No = ______
Yes = _____
Agenda
Show answers to #1 Show answers to #2
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Practice: Is the following a statistical question?
26
#3) Does A, B, C, or D show up most often on the MCAS?
Yes = _____
No = ____ √
#4) What is everyone in the classes favorite flavor ice cream?
No = ______
Yes = _____ √
Agenda
Show answers to #1 Show answers to #2
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Practice: Is the following a statistical question?
27
#5) What is the best way to study for a math test?
Yes = _____
No = ____
#6) How many hours of sleep do you get at night?
No = ______
Yes = _____
Show answers to #1 Show answers to #2
Agenda
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Practice: Is the following a statistical question?
28
#5) What is the best way to study for a math test?
Yes = _____
No = ____
√
#6) How many hours of sleep do you get at night?
No = ______
Yes = _____
Agenda
Show answers to #1 Show answers to #2
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Practice: Is the following a statistical question?
29
#5) What is the best way to study for a math test?
Yes = _____
No = ____
√
#6) How many hours of sleep do you get at night?
No = ______
Yes = _____ √
Agenda
Show answers to #1 Show answers to #2
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Practice: Is the following a statistical question?
30
#7) What is the best song ever?
Yes = _____
No = ____
#8) What is the formula for the area of a parallelogram?
No = ______
Yes = _____
Show answers to #1 Show answers to #2
Agenda
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Practice: Is the following a statistical question?
31
#7) What is the best song ever?
Yes = _____
No = ____
√
#8) What is the formula for the area of a parallelogram?
No = ______
Yes = _____
Agenda
Show answers to #1 Show answers to #2
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Practice: Is the following a statistical question?
32
#7) What is the best song ever?
Yes = _____
No = ____
√
#8) What is the formula for the area of a parallelogram?
No = ______
Yes = _____
√
Agenda
Show answers to #1 Show answers to #2
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Practice: Interpreting Line Plots
33
Show answers to 9a)
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?
Agenda
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Practice: Interpreting Line Plots
34
10 hours
Show answers to 9a)
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?
Agenda
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Practice: Interpreting Line Plots
35
Show answers to 9b)
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?
Agenda
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Practice: Interpreting Line Plots
36
6 hours
Show answers to 9b)
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?
Agenda
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Practice: Interpreting Line Plots
37
Show answers to 9c)
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?
Agenda
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Practice: Interpreting Line Plots
38
8 hours
Show answers to 9c)
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?
Agenda
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Practice: Interpreting Line Plots
39
Show answers to 9d)
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?
Agenda
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Practice: Interpreting Line Plots
40
8 nights
Show answers to 9d)
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?
Agenda
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Practice: Interpreting Line Plots
41
Show answers to 9e)
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?
Agenda
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Practice: Interpreting Line Plots
42
3 nights
Show answers to 9e)
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?
Agenda
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Practice: Interpreting Bar Graphs
43
17 people
Show answers to 10a)
10 a) How many people did I ask?
I asked a bunch of people what their favorite sport was, and represented the data in the bar graph shown below.
Agenda
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Practice: Interpreting Bar Graphs
44
17 people
Show answers to 10a)
10 a) How many people did I ask?
I asked a bunch of people what their favorite sport was, and represented the data in the bar graph shown below.
Agenda
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Practice: Interpreting Bar Graphs
45
Show answers to 10b)
10 b) What was the least popular sport?
I asked a bunch of people what their favorite sport was, and represented the data in the bar graph shown below.
Agenda
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Practice: Interpreting Bar Graphs
46
Hockey
Show answers to 10b)
10 b) What was the least popular sport?
I asked a bunch of people what their favorite sport was, and represented the data in the bar graph shown below.
Agenda
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Practice: Interpreting Bar Graphs
47
Show answers to 10c)
10 c) What was the most popular sport?
I asked a bunch of people what their favorite sport was, and represented the data in the bar graph shown below.
Agenda
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Practice: Interpreting Bar Graphs
48
Football
Show answers to 10c)
10 c) What was the most popular sport?
I asked a bunch of people what their favorite sport was, and represented the data in the bar graph shown below.
Agenda
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Practice: Interpreting Bar Graphs
49
Show answers to 10d)
10 d) How many people DIDN’T like baseball?
I asked a bunch of people what their favorite sport was, and represented the data in the bar graph shown below.
Agenda
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Practice: Interpreting Bar Graphs
50
12 people
Show answers to 10d)
10 d) How many people DIDN’T like baseball?
I asked a bunch of people what their favorite sport was, and represented the data in the bar graph shown below.
Agenda
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Practice: Interpreting Bar Graphs
51
Show answers to 10e)
10 e) How many people like either football or hockey?
I asked a bunch of people what their favorite sport was, and represented the data in the bar graph shown below.
Agenda
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Practice: Interpreting Bar Graphs
52
8 people
Show answers to 10e)
10 e) How many people like either football or hockey?
I asked a bunch of people what their favorite sport was, and represented the data in the bar graph shown below.
Agenda
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Assessment – Exit Ticket!
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Complete and hand in the Exit Ticket before you leave!
Agenda