21 st century lessons shapes of distributions unit 3 – introduction of concepts 1

21st Century Lessons

Shapes of Distributions

Unit 3 – Introduction of Concepts

1

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.

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

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

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

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

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

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

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

http://www.online-stopwatch.com/

http://www.online-stopwatch.com/

Explore – Student Share Out

10

Part 2 - (3 Min)

Students share out work.

Classwork Questions

Agenda

Explore – Complete top half of worksheetPart 3 - (5 Min)

11

Fill out the top half of your worksheet.

Agenda

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

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

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

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

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

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

Summary

18

#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

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

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

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


22


Yes = _____

No = ____ √


No = ______

Yes = _____

Agenda



23


Yes = _____

No = ____


No = ______

Yes = _____ √

Agenda


√


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 = _____


Agenda


25


Yes = _____

No = ____ √


No = ______

Yes = _____

Agenda



26


Yes = _____

No = ____ √


No = ______

Yes = _____ √

Agenda



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 = _____


Agenda


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Yes = _____

No = ____

√


No = ______

Yes = _____

Agenda



29


Yes = _____

No = ____

√


No = ______

Yes = _____ √

Agenda



30

#7) What is the best song ever?

Yes = _____

No = ____

#8) What is the formula for the area of a parallelogram?

No = ______

Yes = _____


Agenda


31


Yes = _____

No = ____

√


No = ______

Yes = _____

Agenda



32


Yes = _____

No = ____

√


No = ______

Yes = _____

√

Agenda


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


34

10 hours

Show answers to 9a)


9 a) What was the most sleep I got in one night?

Agenda


35

Show answers to 9b)


9 b) What was the least amount of sleep I got in one night?

Agenda


36

6 hours

Show answers to 9b)


9 b) What was the least amount of sleep I got in one night?

Agenda


37

Show answers to 9c)


9 c) What was the most common amount of sleep I get?

Agenda


38

8 hours

Show answers to 9c)


9 c) What was the most common amount of sleep I get?

Agenda


39

Show answers to 9d)


9 d) How many nights did I sleep less than 9 hours?

Agenda


40

8 nights

Show answers to 9d)


9 d) How many nights did I sleep less than 9 hours?

Agenda


41

Show answers to 9e)


9 e) How many nights did I sleep 7 hours?

Agenda


42

3 nights

Show answers to 9e)


9 e) How many nights did I sleep 7 hours?

Agenda

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


44

17 people

Show answers to 10a)

10 a) How many people did I ask?


Agenda


45

Show answers to 10b)

10 b) What was the least popular sport?


Agenda


46

Hockey

Show answers to 10b)

10 b) What was the least popular sport?


Agenda


47

Show answers to 10c)

10 c) What was the most popular sport?


Agenda


48

Football

Show answers to 10c)

10 c) What was the most popular sport?


Agenda


49

Show answers to 10d)

10 d) How many people DIDN’T like baseball?


Agenda


50

12 people

Show answers to 10d)

10 d) How many people DIDN’T like baseball?


Agenda


51

Show answers to 10e)

10 e) How many people like either football or hockey?


Agenda


52

8 people

Show answers to 10e)

10 e) How many people like either football or hockey?


Agenda

Assessment – Exit Ticket!

53

Complete and hand in the Exit Ticket before you leave!

Agenda

21 st century lessons shapes of distributions unit 3 – introduction of concepts 1

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