Data and Graphs

DAY 1: Introduction

• Student will learn the parts of a graph.• Student will decide when to use a line graph

and when to use a bar graph.

What is DATA

• DATA is a collection of facts -ex: The height of all students in 5B -The favorite food of all students in 5B -The average temperature in Concepcion from 1950 to 2011 -The percent of people without jobs every month

How to Represent Data

1) In a table:

Class Total number of students

4 A 22

4 B 18

5 A 21

5 B 19

• 2) In a bar graph

Number of students in grades 4-5

Class

Num

ber o

f Stu

dent

s

• 3) In a line graphN

umbe

r of S

tude

nts

Class

Number of students in grades 4-5

Class

Num

ber o

f Stu

dent

sGraph title

Data group axis

Frequency axis

Bars

Scale

Graph Vocabulary•Graph title: This explains what data a graph shows•Axis: The two sides of a graph •Groups Data Axis: shows the type of data being displayed (it is usually on the bottom) •Frequency Data Axis: this axis has a scale and shows the quantity in each groups (it is usually on the side)

•Scale:it is on the Frequency Data Axis. The scale shows the numbers from the lowest to the highest

•Interval: How many numbers the scale increases by each time there is a line

Scale vs Interval

The SCALE is 0-25 studentsThe INTERVAL is 5

Num

ber o

f Stu

dent

s

Class

How to describe a graph• Trend: a pattern in a graph.• Increase: to go up• Decrease: to go down

Bar graph OR line graph???

• Bar graph: It is used to show differences in many types of data

• Line graph: It is used to show how one thing changes over time

• In the following situations we will decide: -Should we use a line graph or bar graph? -What trends do we see in the graph?

• I want to show students’ favourite colors (red, blue, green, black, pink)

• How many students like each color• Should I use a line graph of a bar graph?

• I want to show how much money people make in different regions of Canada

• I want to show change in the temperature of a place from Day 1 to Day 14

• I want to show how many people did not have a job between 1989 to 2008

• I want to show the population in the five largest countries in South America

• I want to show how the population of Chile has changed in the past 10 years.

Tables to graphs

Sam's WeightMonth Weight in kgJanuary 49February 54

March 61April 69May 73

Frank's Math Test GradesTest Grade

1 752 803 1004 955 906 95

Day 2: Bar graphs

• Remember: a bar graph shows the data of DIFFERENT things.

What vocabulary do we know?

• Title• Axis• Group Data Axis• Frequency Data Axis• Scale• Interval

• Bar graph 1 in Unit 5 math folder

Double Bar Graph

• A double bar graph shows different groups of information. Each group is separated into categories.

• -What is the title?• -What data is on the

frequency data axis?• -What data is on the

group data axis?• -What is the scale?• -What is the interval?• -What do the different

colors represent?

What is the title?What do the different colors represent?What is the interval and scale?Which sport is the favourite of 4th graders?Which is the least favourite sport of 3rd graders?

How many third graders like swimming?How many 4th graders like soccer?How many students in total like baseball?How many 3rd graders were included in the

survey?How many 4th graders were included in the

survey?How many students were included in the

survey?What is the difference between 4th graders

who like soccer and 3rd graders who like baseball?

What is the difference between students who like baseball and students who like

basketball?

How many boys participated in tennis?

How many girls participated in canoeing?

How many children participated in crafts?

How many girls participated in tennis and swimming?

How many boys participated in crafts and swimming?

Did more boys or girls participate in camp activities?

What is the scale?What do the different colors represent?

What information is represented on the group data axis?

How many biographies were first edition?

How many fiction books were paperbacks?

How many First Edition books were sold?How many fiction books were sold?

How many hardback books were sold?

Were more first edition or paperbacks sold?

How much people give as tips

• What is the title?• What data is on the

frequency data axis?

• What data is on the group data axis?

• What is the scale?• What is the

interval?• What do the

different colors represent?

White boards

What is on the group data axis?What is on the frequency data

axis?

What is the scale and interval?

Which teacher gave the least

amount of homework on

Thursday?

Which teacher gave 16 minutes of homework on

Wednesday?

Which teacher gave the most homeowork on

Thursday?

How much homework did

Mrs. Williams give in the 2 days?

How much homework did

Ms. Smith give on Wednesday?

What was the difference in the

minutes of homework Mrs,

Jones gave in the 2 days?

What was the difference in the

minutes of homework Mrs.

Brown gave in the 2 days?

How many minutes of

homework did each teacher give

on Wednesday and Thursday?

What was the difference

between how much homework Mrs. Brown and

Ms. Smith gave on Wednesday?

White boards

• What is the interval?

• What is the scale?• What information is

shown on the data group axis?

• What information is shown on the frequency group axis?

• How many 10 year olds voted for the name Eagles?• How many 11 year olds voted for the name Pandas?• Which was the favourite name of 10 year olds?

• What was the favourite name of 11 year olds?

• What was the difference between 10 and 11 year olds who voted for the name sharks?

• Which name had more votes in total: Sharks or Pandas?

• How many children voted for the name Eagles?

• How many 10 year olds voted?

• How many 11 year olds voted?

• How many children in total voted?

You do

• Double bar graph worksheet (1ª)

How to read the bars on a big interval

• Worksheet 3

Day 3: Line Graphs

• Student will analyze double line graphs

• Remeber: Line graphs show how ONE THING changes OVER TIME

Find Trends + Vocabulary

• Document in Unit 5 Math folder (Line graph Simple 1)

• Document (Line graph 2)

• Document (make a line graph)

Types of questions about line graphs

• Identify: “What was the temperature outdoors at 10:00am?”

• Compare: “At 12:00, was it hotter indoors or outdoors?”

• Analyze: “What was the difference between the indoor and outdoor temperature at 2:00pm?

• “At what time was the temperature outdoors and indoors the same?”

• “What observations can you make from the graph?”

How many houses 2 agents sold per year

• What was the difference in the number of houses Smith and Jones sold in 1992?

• How many houses did Jones sell in 1994?

• If this was YOUR company, which employee would you keep and which would you fire? Why?

• When did the sales of Jones increase? When did they decrease?

Number of Children Adopted and in Foster Care

• How many kids were adopted in 1999?

• How many kids were in foster care in 2006?

• In what year were there about 42.000 kids adopted?

• What was the difference between kids adopted and in foster care in 2003?

• What trends do you see in adoption and foster care numbers?

• When did the girls win more games than boys?

• How many games did the boys win in 1991?

• How many games did the boys win in 1988 and 1989?

• How many games did the girls win between 1988 and 1993?

YOU DO

• Worksheet (2 and 4)

Day 4

Day 5

• How to MAKE a graph.• 1) Look at the data and see what it’s about• 2) Is ONE thing changing, or are there GROUPS?• 3) Decide on a SCALE and intervals• 4) Label the axis• 5) Make a TITLE

Student Grade on Math Test

Jacob 70%

Angie 62%

Bobby 87%

Joseph 98%

Brandy 88%

Destinee 91%1) What does the data represent?2) Is ONE thing changing, or are there GROUPS?3) What SCALE should you do?4) Label the axis5) Make a title

Jackie’s Test ScoreTest 1 67%Test 2 75%Test 3 81%Test 4 91%Test 5 85%Test 6 94%

1)What does the data represent?2)Is ONE thing changing, or are there GROUPS?3)What SCALE should you do?4)Label the axis5)Make a title

Athlete Number of Gold Medals

Michael Phelps (USA) Swimming

18

Larisa Latynina (Russia) Gymnastics

9

Paavo Nurmi (Finland) Athletics

9

Mark Spitz(USA) Swimming

9

Carl Lewis (USA) Athletics

9

Bjorn Daehlie(Norway) Cross Country Skiing

8

Country Number of Gold Medals

Number of Silver Medals

China 35 22USA 33 21

Great Britain 22 13Korea 12 6Russia 11 19France 8 9

Germany 7 15

Concepcion

Month Average High Temperature

January 23February 22

March 21April 18May 16June 14July 13

Day 6

• You will make your OWN graph. You will collect data and construct a graph. This will be for a MARK. Make sure to label the axis and include a title.

-survey your classmates (favorite color) -do an experiment (how many bounces do different balls have?) -look for information (get the temperature of every day this month in Concepcion)