MATHEMATICS
Chapter 3: Data Management
GOALS
In this chapter, you will be able to:
 collect, organize, and analyze the results of a survey
 make bar graphs, line graphs, and scatter plots
 use mean and median to compare sets of data
 describe how changing the scale or interval size
affects the apperence of a graph
 Use data to amke arguments
GETTING STARTED
TEXTBOOK (P. 68-69)
Does the memory of pictures improve with
practice?
TEXTBOOK (P. 68-69)
A. Trial 1
Study the pictures for one minute.
Close your book, and then list as many
pictures as you can remember, one on
each cell of the table. You have one
minute to complete your list.
TEXTBOOK (P. 68-69)
TEXTBOOK (P. 68-69)
B. Count the number of pictures you
remembered correctly in the first cell of
the table.
Record the number of pictures
remembered by other students in your
class in the remaining cells of the table.
TEXTBOOK (P. 68-69)
10
13
13
9
7
13
12
10
11
12
9
12
11
12
9
10
8
10
11
TEXTBOOK (P. 68-69)
C. Trial 2
Repeat Parts A and B. Record your
results on a new set of tables.
TEXTBOOK (P. 68-69)
TEXTBOOK (P. 68-69)
11
14
12
13
11
14
6
8
13
11
13
15
16
16
11
13
13
11
4
TEXTBOOK (P. 68-69)
D. Organize your data for both trials into
intervals. Explain why you chose these
intervals.
TEXTBOOK (P. 68-69)
Range
0-4
5-9
10-14
15-20
Trial 1
Trial 2
Tally
Tally
TEXTBOOK (P. 68-69)
E. Create a double bar graph of the
results of both trials. Explain how you
chose your scale.
TEXTBOOK (P. 68-69)
F. Does the memory of pictures improve
with practice? Use the graph to justify
your reasoning.
CREATING AND ANALYZING A
SURVEY
Lesson 1
INTRODUCTION
To collect, organize, and display the results
of a survey, we need to understand the
purpose and process of creating a survey.
SURVEY
A survey is a method that uses questions to
collect information.
It involves the following steps:
1. Creating questions
2. Asking questions
3. Tallying results
4. Presenting results
TEXTBOOK (P. 70)
1. How often do you
use the internet in
the evenings?
a.
b.
c.
d.
e.
_____
_____
_____
_____
_____
2. How often do you
use the internet for
IM?
a.
b.
c.
d.
e.
_____
_____
_____
_____
_____
INDEPENDENT WORK
1. Textbook (p. 70)
 Complete Parts A, C, E, and F; hand in.
2. Workbook (p. 21)
PLOTTING COORDINATE PAIRS
Lesson 2
INTRODUCTION
To plot points on a grid, we need to
understand the terms coordinate plot, plot,
coordinate pair, and origin.
COORDINATE GRID
A coordinate grid is a grid with each
horizontal and vertical line numbered in
order.
PLOT
A plot is the process of locating and
drawing a point on a coordinate grid.
PLOT
A plot is the process of locating and
drawing a point on a coordinate grid.
COORDINATE PAIR
A coordinate pair is a pair of numbers that
describe a point on a coordinate grid. For
example:
(5 , 3)
(x-coordinate , y-coordinate)
ORIGIN
An origin is the point
on a coordinate
grid
where
the
horizontal
and
vertical axis meet. In
other words, the
point (0,0).
ORIGIN
An origin is the point
on a coordinate
grid
where
the
horizontal
and
vertical axis meet. In
other words, the
point (0,0).
UNDERSTANDING COORDINATE PAIRS
PRACTICE QUESTIONS
A. Using a coordinate grid, plot the points (5, 3),
(2, 0), and (5, 0).
UNDERSTANDING COORDINATE PAIRS
PRACTICE QUESTIONS
B. What does 0 in a coordinate pair mean in
terms of movement?
INDEPENDENT WORK
1. Activity (handout):
 Plot the coordinate pairs using the coordinate
grid.
 Determine the “hidden” character and colour
the drawing (optional).
2. Textbook (p. 73)
 Complete #6; hand in.
3. Workbook (p. 22)
LINE GRAPHS
Lesson 3
INTRODUCTION
To create and interpret line graphs, we
need to understand the purpose of a line
graph.
LINE GRAPH
A line graph shows
how the change in
one value is related
to
change
in
another value.
TEXTBOOK (P. 74-75)
How can you use a line graph to
predict how much water the tap
wastes in a week?
TEXTBOOK (P. 74-75)
A.
Using Chandra’s data, plot the remaining points
and draw a line through the four points.
Amount of Water Wasted Compared to Days
24
22
20
18
16
14
12
10
8
6
4
2
0
0
1
2
3
4
5
6
7
TEXTBOOK (P. 74-75)
B. Describe the shape of the line graph.
C. Describe any pattern you see in each
row of the table.
TEXTBOOK (P. 74-75)
D. What rule can you use to calculate the
amount of water wasted if you know the
number of days?
E. Use the rule to predict the number of
liters of water wasted in 2.5 days.
TEXTBOOK (P. 74-75)
F. Use the line graph to predict the
amount of water lost in 5, 6, and 7 days.
INDEPENDENT WORK
1. Textbook (p. 76):
 Complete #5-7; hand in #5.
2. Workbook (p. 23)
SCATTER PLOTS
Lesson 4
INTRODUCTION
To create and interpret scatter plots, we
need to understand the purpose of a
scatter plot.
SCATTER PLOT
A scatter plot shows
if one set of data
can be used to
make
predictions
about another set
of data.
CREATING SCATTER PLOTS
TEXTBOOK P. 78-79
1. Why did Qi use the a “squiggaly line” on
each axis of the scatter plot?
1. Explain how to use the scatter plot to identify
the team that scored the most goals.
CREATING SCATTER PLOTS
TEXTBOOK P. 78-79
3. How can you use Qi’s scatter plot to predict
the number of wins by a team that scores
200 goals.
INDEPENDENT WORK
1. Textbook (p. 78-80):
 Complete #6-7; hand in #6.
2. Workbook (p. 24)
MID-CHAPTER REVIEW
1. Group Activity:
 Pair up with the person sitting next to you.
 Turn to page 81 in your textbook and play the
math game.
2. Independent Work:
 Complete the Frequently Asked Questions
handout.
 Answer questions 1 to 4 on page 83 in your
textbook.
MEAN & MEDIAN
Lesson 5
INTRODUCTION
To use the mean and median to compare
sets of data, we need to understand the
terms mean and median.
MEAN
Average is the
mean one. It makes
you go to work. Add
up every penny and
divide it by how
many.
MEDIAN
Median. Median.
Play on a fiddle.
Slash off the sides
and I’m right in the
middle. Unless there
is two, then divide
them by two.
DETERMINING MEAN & MEDIAN
TEXTBOOK P. 84-85
1. Determine the mean and median
donations for each owl.
2. Which owl had the greatest mean and
median donations?
Owl
Onohodo
Gwaoh
Ogra
Mean
Median
DETERMINING MEAN & MEDIAN
TEXTBOOK P. 84-85
Show your work.
INDEPENDENT WORK
1. Textbook (p. 85):
 Complete #4-7; hand in #5.
2. Workbook (p. 25)