Graphing Vocabulary
Match the words in the following word list to each of the seven definitions given below.
Ordered Pair
Origin
Outlier
Scatter Plot
Trend
X-Axis
Y-Axis
Definition
A pair of numbers, written in the form (x, y), used to locate a point on a coordinate grid.
Notable Notes
Non Examples
(1, 2) or 2–1 Examples
(2, 1) Definition
The horizontal number line on a coordinate grid.
Notable Notes
Positive numbers are on the right and negative numbers are on the left.
Examples Non Examples
x y x y Definition
The vertical number line on a coordinate grid.
Notable Notes
Definition
A data point that does not fit the trend shown by the rest of the data.
Notes
Non Examples Examples
Definition
The point where the x-axis and y-axis meet on a coordinate grid.
Notes
The coordinates of this point are (0, 0).
Non Examples Examples
Definition
A graph showing two-variable data as points plotted on a coordinate grid.
Notes
Non Examples Examples
Definition
The pattern show by a set of data.
Notes
It is possible for data to have no pattern at all.
Non Examples Examples
As the temperature increases, the number
of visitors at the beach increases.
Plotting Points
For the coordinate grid shown below:
a) Label the x-axis and the y-axis.
b) Mark the scale on the x and y axes.
c) Label Quadrants 1, 2, 3,and 4.
d) State the coordinates of the following points:
A: ____________ B: ____________ C: ____________
e) Plot the following points:
D: (5, 1) E: (-2, 4) F: (3, -1) G: (-4, -2)
f) Determine the coordinates of point H,
which has an x-coordinate that is 5 more
than point B and is located in quadrant 4.
g) Determine the coordinates of point I, which
is located on the x-axis and has one of the
same coordinates as point A.
A
Graphing Hide and Seek
State what is located at each of the following coordinates:Coordinates
(x, y) Item
(1, 4)
(4, -6)
(-7, 3)
(0, -3)
State the coordinates of each of the following:
Item Coordinates
(x, y) People riding the Ferris Wheel
Crazy Bumper Car Driver
Man buying Cotton Candy
Seal balancing a ball on his nose
Man throwing baseballs at milk bottles
Man with two balloons
Woman with a stroller
Scatter Plots
1. For the scatter plot shown:
a) Determine what each square is worth on the x-axis.
b) Determine what each square is worth on the y-axis.
c) State the coordinates of Point A.
d) State the meaning of Point A.
e) State the coordinates of Point B.
f) State the trend of this graph.
g) Plot the point C (23, 15.8). Does this point fit with the
trend of the data?
h) Circle an outlier on the graph.
i) Why is the point that you circled in g) an outlier?
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
0 10 20 30
Time (min)
D
is
ta
n
c
e
(k
m
)
A
2. The following table compares the number of hours that a student spent studying, and their test score.
a) What does one square represent on the x-axis?
b) What does one square represent on the y-axis?
c) Create a scatter plot of the data:
Study Hours Test Score
3 80
2 75
6 80
8 92
1 57
6 19
2 64
7 81
1 50
7 100
5 87
d) What was the class average on the test? Round final answer to 2 decimal places.
e) Andy earned the highest mark on the test. How much time did Andy spend studying?
f) Maggie and Stewart earned the same mark on the test, but Maggie studied longer. How much
longer did Maggie study than Stewart?
g) Zoe did worse than expected on the test. State the coordinates of the point representing Zoe.
What word can be used to describe this point?
h) State the trend shown by the data.
0 10 20 30 40 50 60 70 80 90 100
0 2 4 6 8 10
Hours of Studying
Tes
t
S
core
0 6 12 18
0 3 6 9 12 15 18 21 24 27 30 33 36 39
Age (years)
H
ou
rs
of
P
hy
s
ic
a
l
A
c
ti
v
it
y
Scatter Plots Homework
1. Natalie works for the Ministry of Health. She measures the relationship between the amount of
physical activity per week compared with age. She recorded the following data.
a) Create a scatter plot of the data on the grid below.
b) State the trend shown by the graph.
c) Does this trend make sense? Explain.
Age (years) 20 22 30 30 34 26 26 18 36 36 28 30
Physical Activity
2. Nine people bought apples at the farmer’s market. The number of apples purchased and the weight of each person’s bag is shown by the scatter plot below.
a) Emma bought the most apples. How many apples
did she buy and how much did her bag weigh?
b) Oscar had the heaviest bag. How many apples did he
buy and how much did his bag weigh?
c) Nora and Laura bought the same number of apples,
but Nora’s bag was heavier. How much heavier was Nora’s bag?
d) Give one reason why Nora’s bag might have been
heavier than Laura’s.
e) Laith’s bag was much lighter than he expected. How
many apples did he buy and how much did his bag weigh?
f) Excluding any outliers, state the overall trend shown
by the data.
0 1 2 3 4 5 6 7
0 5 10 15
Number of Apples
W
e
ig
h
t
o
f
B
ag
(
p
o
u
n
d
3. The following table shows the height of a bean plant during the first two weeks after it germinated.
Day 1 2 3 4 5 6 7 8 9 10 11 12 13 14
Height 0.8 2.4 4.9 6.8 8.5 10.5 12.9 15.0 16.9 18.6 20.7 22.5 24.7 26.8
a) Create a scatter plot of the data.
b) Describe the growth trend of the bean plant during the 2
weeks.
c) Predict what will happen to the trend in future weeks.
Explain your reasoning.
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
0 5 10 15 20
Day
H
ei
g
h
t
(cm
4. The following table shows the estimated
population of the world over the last 1000 years.
Year Population
(millions)
1000 310
1250 400
1500 500
1750 790
1800 980
1850 1260
1900 1650
1950 2520
2000 6060
a) Make a scatter plot of the data
b) Describe the trend in world population growth
c) Predict what you think the population was in 1600?
How did you make your prediction?
d) Do you think the world’s population will continue
to follow this pattern? Explain.
ANSWERS:
1b] As age increases, the number of hours of physical activity decreases. 1c] (Answers will vary) Yes - the older a person is, the less time/energy they have for activity. 2a] 10 apples, 6.2 pounds 2b] 9 apples, 6.4 pounds 2c] 0.5 pounds more than Laura
2d] (Answers will vary) Different types of apples. 2e] 7 apples, 3 pounds 2f] As the number of apples increases, the weight of the bag increases. 3b] As the number of days increases, the height of the plant increases. 3c] (Answers will vary) The plant will likely continue to grow for a while, but eventually level off as it reaches its mature height or dies (if outdoors). 4b] As the years increase, the world population increases. 4c] (Answers will vary) Yes, but eventually there will not be enough resources to support the population.
0 500 1000 1500 2000 2500 3000 3500 4000 4500 5000 5500 6000 6500
0 500 1000 1500 2000 2500
Year
P
op
ul
at
ion
(
in
m
ill
ion
