Transcript Unit 1 - Bibb County Schools

Bellwork August 15, 2011
*Silently go to your
assigned seat.
*Copy Homework into your
Planner.
*Begin work on Weekly
Review #2.
In your math binder….

On the front cover and the first page of your
binder paper write the following:
Your name (first and last)
 Mrs. Goshorn-Math
 Team 7-1
---------------------------------------------------

FOLLOW ALONG AS WE SET UP YOUR
BINDER!!
Let’s Do Some Math with Jack Black…

http://www.youtube.com/watch?v=aa8U0nL-KXg
Unit 1
Chapter 7
Section 1
Frequency Tables, Stem and
Leaf Plots, and Line Plots
Standard and Objective
Objective: Students will learn to
collect, effectively display, and
analyze data
Standard: M7D1 Students will pose
questions, collect data, represent and
analyze the data, and interpret
results.
Essential Question:
How
do a frequency table, stemand-leaf plot, and a line plot
(distribution) help us to
organize data?
How is data used in our everyday lives?
Explain how data could be used with each
picture.
Michael Jordan: average points per game,
rebounds, how many points his team won/loss by
1)
How is data used in our everyday lives?
Explain how data could be used with each
picture.
Babe Ruth: how
many homeruns,
hits, RBI’s, and
batting average
2)
How is data used in our everyday lives?
Explain how data could be used with each
picture.
3) Billboard HOT 100:
http://www.billboard.com/ch
arts/hot-100#/charts/hot100
What songs are in the top 100 and
how long they have been
there?
What is the forecast of the song
for the future?
How is data used in our everyday lives?
Explain how data could be used with each
picture.
4) Cars: to see which car prices
go up and down, which cars are the
most popular, which colors are the
most popular, are hybrids and
smaller cars more popular than big
SUVS?
How is data used in our everyday lives?
Explain how data could be used with each
picture.
5) M&Ms: How many of each color
should go in a bag?
How is data used in our everyday lives?
Explain how data could be used with each
picture.
6) Weather: Is it going to rain?
How hot will it be? What was it
like this time last year?
How is data used in our everyday lives?
Explain how data could be used with each
picture.
7) Your grades! Teachers use
data (your grades) to figure out
your average.
Show What You Know- Match that
Graph

Look at the pictures of the different
graphs on the board.

Decide which word describes the graph
the best.
Definitions:
 frequency table: a way to organize data
into categories or groups
 cumulative frequency: column in a
frequency table that keeps a running
total of the frequencies in each category
 stem-and-leaf plot: shows how often data
values occur and how they are distributed
Leaf: on the plot represents the right-hand digit
Stem: represents the left-hand digits
 line plot: shows data on a number line with an
x or other mark to show the frequency of the
data
Key Word Vocabulary Strategy
Example:
Vocabulary Word
Keyword (sounds like or
rhymes with your
vocabulary word)
ranid
rain
Picture
Definition
frog
Vocabulary Study List
(see your handout)
Vocabulary
Word
Frequency table
Cumulative
Stem and Leaf
Plot
Line Plot
Keyword
Picture
Definition
Frequency and Distribution Clip
(7:23)
http://player.discoveryeducation.com/index.cfm?guidAssetId=DE52C9BA-C713-4E6A-969C077667CDD6B4&blnFromSearch=1&productcode=US
Write down 3 facts you learn in the clip.
1) Frequency charts allow us to see ___________and
___________more easily.
2)What does a gap in the chart mean?
3) What are the 3 measures of central tendency mentioned in
the clip?
Closing

In complete sentences write down 5 ways
that data is used in our everyday lives
(choose ways other than we listed earlier
in class).
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1.
2.
3.
4.
5.
Tuesday, August 16, 2011
Put Homework (Vocab 7-1 Keywords and
Pictures) on the corner of your desk.
 Write tonight’s homework in your planner
 Take out Weekly Review #2 and continue
to work on that.

Unit 1
Chapter 7
Section 1-Day 2
Frequency Tables, Stem and
Leaf Plots, and Line Plots
Standard and Objective
Objective: Students will learn to
collect, effectively display, and
analyze data
Standard: M7D1 Students will pose
questions, collect data, represent and
analyze the data, and interpret
results.
Essential Question:
How
do a frequency table, stemand-leaf plot, and a line plot
(distribution) help us to
organize data?
Frequency
Tables
A frequency table shows
how often something
occurs. The frequency
may be shown by tally
marks or the number.
Data is displayed numerically.
A frequency table is best
used to keep track and
organize data!
Problem Solving Using Tables
Brain-Pop
Copy and answer as you watch the
brain-pop.
•How can you use tables to solve
problems?
http://www.brainpop.com/math/dataanalysis/problemsolvingusingtables/
A frequency table contains 3 columns.
# of Cats in Homes
# of Cats
Tally
Frequency
0
IIII
4
1
IIII I
6
2
III
3
3 or more
I
1
Class Exercise
What type
of soda is
your
favorite?
Choose one of the
following….
1. Coke
2. Mountain Dew
3. Dr. Pepper
4. Sprite
5. Diet Coke
Now, create a blank
frequency table.
Does it look like this?
Favorite Soda
Soda
Coke
Mountain
Dew
Dr. Pepper
Sprite
Diet Coke
Tally
Frequency
Now, complete the
table. Compare your
frequency table
with your
neighbor’s. Are
they the same? Any
differences?
Cumulative frequency is the total of a
frequency and all the frequencies above it in a
frequency table.
• It is a running total of
the frequencies in each
category.
• You determine the
cumulative frequency
by adding the top
frequency to the next
frequency, and then to
the next frequency, and
so on.
•The total number in
your cumulative
frequency should equal
the total number of
data in your table.
Steps for Organizing and Interpreting
Data in a Cumulative Frequency Table
1. Choose a scale that includes all of the
data values. Then separate the scale into
equal intervals.
2. Find the number of data values in each
interval. Write these numbers in the
“Frequency” column.
3. Find the cumulative frequency for
each row by adding all of the
frequency values that are above or in
that row.
Example 1:
The list shows the average high temperatures for 20 cities
on one February day. Make a cumulative frequency table of
the data. How many cities had average high temperature
below 59 degrees?
69, 66, 65, 51, 50, 50, 44, 41, 38, 32, 32, 28, 20, 18, 12, 8,
8, 4, 2, 2
February Temperatures in 20 Cities
Average
Frequency Cumulative
Frequency
Highs
0–19
7
7
20–39
40–59
5
5
12
17
60–79
3
20
17
cities
Example 2:
The list shows the grades received on an English exam.
Make a cumulative frequency table of the data. How many
students received a grade of 79 or below?
85, 84, 77, 65, 99, 90, 80, 85, 95, 72, 60, 66, 94, 86, 79,
87, 68, 95, 71, 96
English Exam Grades
Grades
Frequency Cumulative
Frequency
60–69
70–79
4
4
4
8
80–89
6
14
90–99
6
20
8
students
Closing
What is the purpose for
a frequency table?
Homework
Bellwork August
Copy and answer the following question. Have your
homework out on your desk.

The data shows the ages of some
hospital nurses.

33, 35, 23, 39, 23, 24, 34, 21, 57, 45,
57, 60, 45, 24, 31, 42, 61, 45, 35, 38

Make a cumulative frequency table of the data. How
many of the nurses are under the age of 40?
Nurses’ Ages
Ages
Frequency
Cumulative
Frequency
Answer:
Bellwork Answer…
The data shows the ages of some
hospital nurses.

33, 35, 23, 39, 23, 24, 34, 21, 57,
45, 57, 60, 45, 24, 31, 42, 61, 45, 35,
38
Answer:

Nurses’ Ages
Ages
Frequency
Cumulative
Frequency
20–29
5
5
30–39
7
12
40–49
4
16
50–59
2
18
60–69
2
20
12 nurses
are under
the age of
40.
Unit 1
Chapter 7
Section 1-Day 3
Frequency Tables, Stem and
Leaf Plots, and Line Plots
Standard and Objective
Objective: Students will learn to
collect, effectively display, and
analyze data
Standard: M7D1 Students will pose
questions, collect data, represent and
analyze the data, and interpret
results.
Essential Question:
How
do a frequency table, stemand-leaf plot, and a line plot
(distribution) help us to
organize data?
Stem and
Leaf Plot
A
stem and leaf plot can
be used to look at how
data is distributed.
Vocabulary
•Stem – anything to the
left of the very last
number (sometimes that is
“0” ; sometimes it is two
numbers)
•Leaf – the last number
•Key – an explanation of
the stem and leaf
Steps for Organizing and Interpreting
Data in a Stem-and-Leaf Plot
1. Order the data from least to greatest.
Use tens digits for the stems and ones
digits for the leaves.
2. List the stems from least to greatest
on the plot.
3. List the leaves for each stem from
least to greatest.
4. Add a key and a title.
Create a Stem and Leaf Plot
Collect Data:
About how many hours per WEEK do you
sleep?
Take one night and multiply by 7.
Ex. 9 hours per night. 9 x 7 =63 hours
Write that DOWN!
Now, we will create the plot.
Create a Stem and Leaf Plot
Who thinks they have the lowest number
of hours?
 Who thinks they have the highest number
of hours?
 Create the stems
 Plot the leaves

Stem and Leaf Plots Video Clip (2:09)

What did the stem and leaf plot in the
video clip allow you to see?
http://player.discoveryeducation.com/index.cfm?guidAssetId=3A769
9A1-B79D-4E17-8C445E186B33556F&blnFromSearch=1&productcode=US
Example 3:
The data shows the number of years coached by the top
15 coaches in the all-time NFL coaching victories. Make
a stem-and-leaf plot of the data. Then find the number
of coaches who coached fewer than 25 years.
33, 40, 29, 33, 23, 22, 20, 21, 18, 23, 17, 15, 15, 12, 17
12, 15, 15, 17, 17, 18, 20, 21, 22, 23, 23, 29, 33, 33, 40
Stems
1
2
3
4
Leaves
2 5 5 7 7 8
0 1 23 3 9
3 3
0
Key: 2 | 1 means 21.
11
Coaches
Example 4:
The list shows the number of times each soccer player
can bounce the ball on their knee. How many soccer
players can bounce the ball more than 36 times.
55, 60, 33, 30, 23, 45, 28, 41, 62, 29, 35, 40, 43, 37, 68,
30, 61, 27, 38, 41
23, 27, 28, 29, 30, 30, 33, 35, 37, 38, 40, 41, 41, 43,
45, 60, 61, 62, 68
Stems
2
3
4
5
6
Leaves
12
3 7 8 9
soccer
0 0 3 5 7 8
players
0 1 1 3 5
5
0 1 2 8 Key: 4 | 0 means 40.
Line Plot
Definition:
A line plot uses a
horizontal line and
individual data
points (usually Xs)
to show how the
data groups or
clusters.
Each X on a line plot
stands for one piece
of data.
A line plot is best
used when
grouping data
together.
Line plots are a quick way to
determine the mode because
it is the number on the scale
with the most Xs.
Steps for Organizing and Interpreting
Data in a Line Plot
1.Draw a number line that includes all
the numbers in the range.
2.Put an X above the number on the
number line that corresponds to the
number in the data.
Create a Line Plot
Let’s use or Sleep Data from earlier
 What numbers need to go on our number
line?
 Plot the Hours using an X.

Example 5:
Make a line plot of the data. How many hours
per day did Morgan babysit most often?
M
T
W
Th
F
S
Su
Wk 1
0
6
4
6
5
8
2
Wk 2
2
7
7
7
0
6
8
Wk 3
0
6
8
5
6
1
2
Wk 4
4
8
4
3
3
6
0
X
X
X
X
0
X
X
X
X
1
2
6
hours
X
X
X
X
X
X
X
X
X
X
X
X
X
3
4
5
6
X
X
X
X
X
X
X
7
8
Example 6:
Make a line plot of the data. How many slices
of pizza did most people eat?
2
4
1
2
5
3
1
0
4
3
2
5
3
2
4
6
1
4
2
2
5
2 slices
of pizza
X
X
X
X
X
X
X
X
X
X
0
1
2
X
X
X
X
X
X
X
X
X
X
X
3
4
5
6
Homework

Pg.58 from your workbook #1-4
Ticket-out-the-Door
The data shows the ages of some teachers at
Sonny Carter Elementary.
33, 35, 23, 39, 23, 24, 34, 21, 57, 45, 57,
60, 45, 24, 31, 42, 61, 45, 35, 38
1. Make a cumulative frequency table of the data.
How many of the teachers are under the age of
40?
2. Make a stem-and-leaf plot of the data. How
many nurses are over the age of 45?
3. Make a line plot of the data. What age occurs
most often?
Answers
Teachers’ Ages
Ages
Frequency
Cumulative
Frequency
20–29
5
5
30–39
7
12
40–49
4
16
50–59
2
18
60–69
2
20
Teachers’ Ages
Stems
2
3
4
5
6
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
20-29
30-39
40-49
Leaves
1 3 3 4 4
1
2
7
0
3 4 5 5 8 9
5 5 5
7
1
Key: 4 | 2 means 42.
X
X
50-59
X
X
60-69