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 1Chapter 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,

stem-and-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.

1) Michael Jordan: average points per game, rebounds, how many points his team won/loss by

How is data used in our everyday lives?

Explain how data could be used with each picture.

2) Babe Ruth: how many homeruns, hits, RBI’s, and batting average

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/charts/hot-100#/charts/hot-100

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

Vocabulary Word Keyword (sounds like or rhymes with your vocabulary word)

Picture Definition

ranid rain frog

Example:

Vocabulary Study List (see your handout)

Vocabulary Word

Keyword Picture Definition

Frequency table

Cumulative

Stem and Leaf Plot

Line Plot

Frequency and Distribution Clip (7:23)

http://player.discoveryeducation.com/index.cfm?guidAssetId=DE52C9BA-C713-4E6A-969C-077667CDD6B4&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). 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 1Chapter 7

Section 1-Day 2Frequency 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,

stem-and-leaf plot, and a line plot (distribution) help us to organize data?

FrequenFrequency cy

TablesTables

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/

# of Cats Tally Frequency

0 IIII 4

1 IIII I 6

2 III 3

3 or more

I 1

A frequency table contains 3 columns.

# of Cats in Homes# of Cats in Homes

What type of soda is

your favorite?

Class ExerciseClass Exercise

Choose one of the following….1. Coke2. Mountain Dew3. Dr. Pepper4. Sprite5. Diet Coke

Now, create a blank frequency table.

Does it look like this?Favorite SodaFavorite Soda

Soda Tally FrequencyCoke

Mountain Dew

Dr. PepperSprite

Diet Coke

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 Table1. 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:

17 cities

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 CitiesAverage

HighsFrequency

Cumulative Frequency

0–1920–3940–5960–79

7553

7121720

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 GradesGrades Frequenc

yCumulative Frequency

60–6970–7980–8990–99

48

1420

4466

8 students

Closing

What is the purpose for a frequency table?

Homework

Bellwork AugustCopy 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’ AgesAges 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

Nurses’ AgesAges Frequency Cumulative

Frequency20–29 5 530–39 7 1240–49 4 16

50–59 2 1860–69 2 20

Answer: 12 nurses are under the age of 40.

Unit 1Chapter 7

Section 1-Day 3Frequency 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,

stem-and-leaf plot, and a line plot (distribution) help us to organize data?

Stem Stem and and Leaf Leaf PlotPlot

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 Plot1. 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 PlotCollect 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=3A7699A1-B79D-4E17-8C44-5E186B33556F&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 Leaves

1234

2 5 5 7 7 80 1 2 3 3 93 30

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, 4123, 27, 28, 29, 30, 30, 33, 35, 37, 38, 40, 41, 41, 43, 45, 60, 61, 62, 68

Stems Leaves23456

3 7 8 90 0 3 5 70 1 1 3 550 1 2 8

8

Key: 4 | 0 means 40.

12 soccer players

Line Line PlotPlot

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

0 1 2 3 4 5 6 7 8

XXXX

X

XXX XX

XXX XX

XXXXXX

XXX

XXXX

6 hours

Example 6:Make a line plot of the data. How many slices of pizza did most people eat?

2 4 1 2 5 3 10 4 3 2 5 3 24 6 1 4 2 2 5

0 1 2 3 4 5 6

X

XXX

XXXXXX

XXX

XXXX XX

XX

2 slices of pizza

Homework Pg.58 from your workbook #1-4

Ticket-out-the-DoorThe 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?

AnswersTeachers’ Ages

Ages Frequency Cumulative Frequency

20–29 5 530–39 7 1240–49 4 16

50–59 2 1860–69 2 20

Stems Leaves23456

1 3 3 4 41 3 4 5 5 8 92 5 5 5 7 7 0 1

Teachers’ Ages

Key: 4 | 2 means 42.

20-29 30-39 40-49 50-59 60-69

XXXXX

XXXXXXX

XXXX

XX

XX