Saskatchewan Common Mathematics Assessments
Post Assessment
Outcome: Demonstrate understanding of linear relations including: graphing, analyzing,
interpolating and extrapolating, solving situational questions.
Name: _______________________________________________________
1. Which graphs represent a linear relation?
Level
1
2. Which equations describe vertical lines?
i) x + 5 = 12
ii) y – 12 = 5
iii) 12x = 5
3
3. Which equation describes the graph below?
1
i) y = x + 1
2
1
ii) y = x – 1
2
iii) y = -2x – 1
iv) y = 2x – 1
4. Graph the following lines on the same grid.
What shape do they form?
i) y = x
ii) x – 8 = 0
iii) y – 4 = 0
Level
3
4
5. This graph shows how a speed in feet per second relates to a speed
in metres per second. Estimate the speed in metres per second of an
object moving at 26 ft/s.
Level
6. This graph shows the gas consumption rate of a car.
Estimate the distance the car can travel on 60L of gas.
2
1
7. Create a table of values for the relation y = 1.5x + 3, then graph the relation.
Use 0, 2, 4, 6, 8, 10 as values of x.
Level
3
a)
b)
c) Is the relation linear? How do you know?
d) What is the value of y when x = 33?
8. A helicopter is at a height of 1600m when it starts descending to land.
The helicopter’s height changes at an average rate of 140m/min.
a) Write an equation that relates the height of the helicopter, H metres,
to the time since the helicopter began its descent, t minutes.
b) What is the height of the helicopter 9 min after it began its descent?
2
4
Teacher Section
Teacher Notes: Materials needed: graph paper, ruler, calculator
Question
Indicator
Level
Answer Key:
1
2
3
4
P9.1 b
P9.1 d
P9.1 f
P9.1 c
1
3
3
4
Q,R,S
I 7 iii
Ii
The lines intersect to form a right triangle.
5
6
7a
P9.1 a
P9.1 e
P9.1 h
1
2
3
8m/s
Approximately 540 km
7b
P9.1 c, i
3
7c
P9.1 d
2
7d
8a
8b
P9.1 h
P9.1 i
P9.1 i
3
4
4
Answer
The relation is linear because the points on the graph lie on a straight line. There is
also a pattern formed in the table of values.
y = 52.5
H = 1600 + 140s
340 m
Outcome: P9.1 Demonstrate understanding of linear relations including: graphing, analyzing,
interpolating and extrapolating and solving situational questions.
up to Level 1
up to Level 2
up to Level 3
up to Level 4
Description
of Levels:
(based on
Marzano,
2007)
There is a
partial
understanding
of some of the
simpler details
and processes.
Prior
knowledge is
understood.
P8.1 g or other
indicator
Indicators
and
Learning
Targets for
each Level:
Studentfriendly
descriptions
of learning
targets.
No major errors or
omissions regarding the
simpler details or
processes, but major
errors or omissions
regarding the complex
processes may be
present.
No major errors or omissions
regarding any of the information
and/or processes that were explicitly
taught.
This is the target level for
proficiency.
(a) Observe and
describe a situation
relevant to self, family,
or community that a
given graph might
represent and explain
the meaning conveyed
by the graph.
(b) Sort a set of graphs
into representations of
linear and non-linear
relations.
(d) Generalize strategies
for determining if a
given linear relation will
have a graph that is
horizontal, vertical,
increasing, or
decreasing.
(a) I can observe and
describe a situation
relevant to self, family,
or community that a
given graph might
represent and explain
the meaning shown by
the graph.
(b) I can sort a set of
graphs into linear and
non-linear relations.
(d) I can generalize
strategies for deciding if
a given linear relation
will have a graph that is
horizontal, vertical,
increasing, or
decreasing.
(c) Sketch graphs for given linear
relations, including horizontal and
vertical lines, with and without the
use of technology.
(e) Extrapolate to determine a value
for either variable in a linear relation
beyond the shown graph.
(f) Verify an extrapolated value
from a graph by using substitution in
the related linear relation.
(g) Interpolate to determine a value
for either variable in a linear relation
within the shown graph.
(h) Verify an interpolated value
from a graph by using substitution in
the related linear relation.
(i) Solve situational questions by
graphing linear relations and
interpreting the resulting graphs.
(c) I can sketch graphs for given
linear relations, including horizontal
and vertical lines, with and without
the use of technology.
(e) I can draw conclusions to
determine a value for either variable
in a linear relation beyond the
shown graph.
(f) I can confirm an inferred value
from a graph by using substitution in
the linked linear relation.
(g) I can interpolate to determine a
value for either variable in a linear
relation within the shown graph.
(h) I can verify an interpolated value
from a graph by using substitution in
the related linear relation.
(i) I can solve situational questions
by graphing linear relations and
interpreting the resulting graphs.
In addition to
level 3
performance, indepth inferences
and applications
go beyond what
was explicitly
taught.
Construct a
linear
relationship
based upon data