Saskatchewan Common Mathematics Assessments
Pre Assessment
Outcome: SP8.1 I can analyze different a variety of graphs and look for
advantages and disadvantages as well as misleading information.
Level
1.
Each graph below shows the instrument choice for the 2007 Grade 8 Kitsilano Band Program.
a) List 2 things you know from the bar graph.
b) List 2 things you know from the circle graph.
c) What are some advantages and disadvantages of the bar graph?
1
1
2
d) What are some advantages and disadvantages of the circle graph?
2
e) Could you use a line graph to display this data? Explain.
Level
3
2. These graphs show the cost of a 25-L bottle of water from two suppliers over the past 5 years.
a) How do the graphs misrepresent the data?
2
b) What features of the graphs make it seem that the cost of a bottle of water from
H2O water company is lower than for Mountain Clear water company?
Level
3
c) What features of the graphs make it seem that the cost of a bottle of water from
H2O water company has risen more rapidly than for Mountain Clear water company?
d) Which company is more likely to have created these graphs?
2
4
3. Students took part in a class poll to determine the type of movies that most people enjoy. This
table shows the results.
Level
4
Type of Movie
Number of Students
Comedy
Romance
Action
Horror
10
10
20
5
a) Draw a circle graph to display the data.
b) Draw another graph to display the same data. Justify your choice.
Teacher Section
Teacher Notes: All questions are from MMS unless otherwise indicated.
Question
Indicator
Level
Answer Key:
1a
Pre
1
Answers will vary (ex. there are 20 trumpets, trumpets are the most popular
instrument).
b
c
d
e
Pre
A
A
C
1
2
2
3
Ex: there are similar numbers of each instrument selected
Advantage: Easy to read Disadvantage: must guess the values between the lines
Advantage: Easy to tell the values Disadvantage: harder to draw
Theoretically yes, but the line would have little or no additional meaning and the slopes
of the lines might be misleading
2a
b
c
d
3
F
E
E
E
C
2
3
3
2
4
Ex: they have different scales, the bottom one has a broken scale
Answer
Ex: the y-axis has a scale with smaller values
Ex: the slope of the line is less, the line doesn’t go up as high as the other one
The mountain clear bottle makers
Comedy (80o)
Horror (40o)
o
Romance (80 )
Action (160o)
Part B: Answers will vary depending on student choice. Score Level 4 if the results
are accurate and correctly depicted using the style chosen.
Outcome: SP8.2 – I can analyze different a variety of graphs and look for advantages and
disadvantages as well as misleading information.
Description of
Levels:
(based on
Marzano,
2007)
up to Level 1
There is a partial
understanding of
some of the
simpler details
and processes.
Prior knowledge
is understood.
up to Level 2
No major errors or omissions
regarding the simpler details
or processes, but major errors
or omissions regarding the
complex processes may be
present.
Demonstrate an
understanding of
circle graphs
SP7.2
Investigate and report on the
advantages and
disadvantages of different
types of graphs, including
circle graphs, line graphs, bar
graphs, double bar graphs,
and pictographs SP8.1a
up to Level 4
In addition to level 3
performance, indepth inferences and
applications go
beyond what was
explicitly taught.
I can illustrate ways
to represent data
given various
situations and
explain my findings
I can analyze the
modes of displaying
data and the
reasonableness of
conclusions.
Analyze the modes
of displaying data
and the
reasonableness of
conclusions SP9.1
Analyze a data graph found
in media for features that
might bias the interpretation
of the and suggest alterations
to remove or down play the
bias. SP8.1e
Indicators
and Learning
Targets for
each Level:
Studentfriendly
descriptions
of learning
targets.
up to Level 3
No major errors or
omissions
regarding any of
the information
and/or processes
that were explicitly
taught.
This is the target
level for
proficiency.
Suggest alternative
ways to represent
data from a given
situation and
explain the choices
made. SP8.1c
I can interpret a
circle and a bar
graph to answer
questions.
Provide examples of
misrepresentations of data
and data graphs found within
different media and explain
what types of
misinterpretations might
result from such displays.
SP8.1f
I can examine different types
of graphs including bar,
double bar, circle, line, and
pictographs.
I can be aware of how media
can influence information by
the way it is represented
I can look at misrepresented
information and explain how
it can be misinterpreted.