NOTES ON GRAPHS
NAME ________________________
MONDAY: DAP 5.1
_______ is collected and recorded information, such as observations or measurements.
A
___ is a way of collecting data by asking a group of individuals the same
question and
____ their answers. Lists and tables can be used to record data. A tally
chart is a way of recording data by making a mark for each piece of data collected.
Example: In a survey, Matthew asked his classmates which vegetable they liked best: onions,
peas, or corn. The list shows the vegetable each student chose. Which vegetable was chosen the
most often?
Title your frequency chart and label its columns and rows.
One tally = one vote.
Vegetable
Onions
Peas
Corn
Tally
Number
Onions peas corn corn
peas peas onions corn
peas peas corn onions
corn peas corn peas
peas peas corn onions
onions peas peas peas
peas corn corn
TUESDAY: DAP 5.1
You can make a circle graph to display data. A circle graph, also known as a
graph, uses each section of a divided circle to represent part of a
Where have we seen this concept before?
.
If the sections are labeled with fractions, the fractions should add up to 1. The same
goes for ____________.
_____ Tables are ways to record a set of data that shows how often
something happens.
Example: Class post it activity
WEDNESDAY: NNS 5.6
An
is a set of whole numbers and their opposites, and
A positive integer is any integer
A
.
than 0.
integer is any integer less than 0.
A
can help you understand integers. Integers to the
of 0
are negative. Integers to the right of 0 are positive.
is neither positive nor
negative.
integers are any two integers that are the same
from 0 on the
number line.
-2
-1
0
1
2
Negative integers
Positive integers
Example:
The table shows hourly temperatures for a winter night. What point on the number line
represents each temperature?
Time
10 P.M.
11 P.M
12 P.M.
1 A.M.
Temp. (oF)
2
-2
-4
-5
A
B
C
D
-1
0
1
E
F
G
H
DAP 5.1
A ___________ uses lines, points, pictures, or bars to show information. Different kinds
of graphs are used to show different kinds of information, or
.
You can display data in a
graph to show changes in data, to show trends, and to
solve problems. A
graph is used primarily to show how data change over time.
Coordinate ________ are plotted and then ____________ by a line.
Example:
Sophia kept a record of the high temperature in Dayton each day for a week. On
Monday it was 74oF, on Tuesday 78oF, on Wednesday 81oF, on Thursday 79oF, on Friday
82oF, on Saturday 84oF, and on Sunday it was 86oF. What general trend do these
temperatures show?
Draw the axes of the graph and label each axis.
Y-axis
X-axis
Plot the points as ordered pairs (day, temperature).
Connect the points. Look at the shape of the line formed from left to right. A line going
up indicates rising temperatures. A line going down indicates falling temperatures.
In which direction does the line go from Monday to Wednesday?
In which direction does the line go from Wednesday to Thursday?
In which direction does the line go from Thursday to Sunday?
What general trend do these temperatures show?
THURSDAY: DAP 5.2 Selecting appropriate graphs
Line Graphs use lines to connect ___________ that represent data. They show how
data changes over time. ____________ Graphs use a divided circle where each section
represents part of a whole. The segments of the circle graph add up to 1 whole or
________ percent.
Type
Purpose
Table
Organizing data
Bar graph
Comparing data
Line graph
Showing
graph
over time
Comparing parts of a whole
Example: estimate the percent of the day you spend sleeping, eating, going to school, relaxing,
playing, and doing other things. Remember, the total should be 100%. Make a display of the
data you collected. Why did you choose this type of display?
Betty wants to show the weight of her puppy, Rufus, each year since his birth. What kind of
graph is the most appropriate to display her data?
DAP 5.3 Read and interpret complex displays
You can use a bar graph to compare data and to make generalizations about the data. A bar
graph uses
or vertical bars to compare data.
Example:
The number of representatives in the United States House of Representatives for selected states
is shown in the table. Construct a vertical bar graph to display this data. Determine a scale for
the vertical axis. Title the graph and label the axes. Which state has the highest bar?
State
Number of Reps
Delaware
1
Maryland
8
Pennsylvania
19
Ohio
18
Virginia
11
But… sometimes we use a
bar graph to show two similar sets of data. Double bar
graphs show two bars, each representing a different set of data. A key is usually given to identify
what each bar represents.
Example: How many students in Grade 6 get to school by bus? _______ In which grade do most
students get to school by bus? ________ Which grade has the greatest difference between
students who get to school by bus and by others ways? _________________
Are there more 6th grade students or 7th grade students taking Spanish?
Like double bar graphs, double line graphs allow you to compare two sets of data.
Example:
This double line graph compares the average daily temperature of the first 10 days of summer
for two consecutive years in Columbus, Ohio. On which day are the two years’ temperatures the
farthest apart? What is the approximate difference in temperature on that day?
DAP 5.5:
Suppose you want to know which kind of movie the students in your class like best. What
question in a survey could you ask to find out this information?
Draw conclusions about your future results.
Collect and display you data. Communicate your findings.
Justify new predictions and interpretations as additional data are collected.