Saskatchewan Common Mathematics Assessments
Post Assessment
Outcome: N7.6 Add and subtract integers (positive and negative numbers).
Level
1.
Identify the integer represented by each of the following points on the number line:
1
a. A = ____
b. B = ____
2
2. Identify the integer that is the opposite of +17 and provide an explanation of why these two
integers are called opposite integers
3. Arrange the following integers from largest to smallest 0, +3, -15,-25,-27,+18
4.
For each grouping of the following integer chips, write an addition statement and solve.
a.
b.
1
2
c.
5. Write a subtraction statement for each of the following diagrams.
Level
2&3
a.
b.
6. Solve each number sentence
a.
(+12)+( –7)
Level
2&3
b.
(–8) – (–6)
c.
(-30) + (+25) – (+18)
7. Complete each statement below
a.
( ___) – (+4) = +7
b.
9 – ( ___) = + 15
Level
3
8. The Dead Sea is 423m below sea level. Yorkton is 498m above sea level. Create a number sentence
that will show the difference between the two locations and solve.
9. Mathew has a pocket full of toonies. His pocket has a hole in it. With every step he takes he loses
3 toonies. Create a number sentence and identify how many toonies he has lost after 12 steps.
Level
4
Teacher Section
Teacher Notes: Students should be provided with counters to assist in developing models when
working with integers. Calculators should not be used during this assessment.
Question
Indicator
Level
Answer Key: Essential indicators are bolded.
1a
1b
2
N6.6b
N6.6b
N7.6a
1
1
2
3
4a
4b
4c
5a
5b
6a
6b
6c
7a
7b
8
N6.6e
N7.6d
N7.6d
N7.6d
N7.6e
N7.6e
N7.d
N7.6e
N7.d,e
N7.d,e
N7.d,e
N7.6g
1
2
2
2
2
3
2
2
3
3
3
3
9
N8.5f
4
Answer
-9
-5
-17
Level 1: they are opposite because they have opposite signs
Level 2: they are opposite because they are located using the same distance
from 0 but on opposite sides.
-27, -25, -15, 0, +3, +18
(+7) + (-5) = (+2)
(+6)+(-6) = 0
(+2) + (-7) = (-2)
(-4) – (+3) = (-7)
(+3) - - 5 = (+8)
(+5)
(-2)
(-5)-(+18) = (-23)
11
(-6)
498 – (-423)
Or
-423 + 498
-3(12) = -36
Essential indicators are bolded.
Note: Questions #2 and 4 are modelled on the Essential Question for this outcome:
EQ: What strategies can we use to better understand the addition and subtraction of integers?
BI: The Zero Property, that is, (-1) + (+1) = 0, plays an important role in the addition and subtraction of
integers. These operations can be represented visually by various models. (Small,2010).
Outcome: N7.6 Add and subtract integers (positive and negative numbers).
up to Level 1
up to Level 2
up to Level 3
Description of
Levels:
(based on
Marzano, 2007)
Indicators and
Learning
Targets for each
Level:
There is a partial
understanding of
some of the
simpler details and
processes.
Prior knowledge is
understood.
Basic
understanding of
integers including:
 Identifying an
integer
 Ordering a
set of integers
in increasing
or decreasing
order N6.6e
 Writing the
opposite of an
integer
N7.6a,b
I can tell what an
integer is and write
an integer
Student-friendly
descriptions of
learning targets.
I can show the
differences in
integers using <, >
or =
I can put integers
in order from
smallest to biggest
I can represent
opposite integers
in different ways.
No major errors or
omissions
regarding the
simpler details or
processes, but
major errors or
omissions
regarding the
complex processes
may be present.
Add or Subtract
two integers using
concrete materials
or pictorial
representations.
N7.6d,e
I can subtract or
add two integers
using
manipulatives or
pictures and write
it in a number
sentence.
No major errors or
omissions
regarding any of
the information
and/or processes
that were explicitly
taught.
This is the target
level for
proficiency.
Solve problems
involving the
addition and
subtraction of
integers. N7.6g
Solve number
sentences that
require more than
one step
I can solve
problems
involving the
addition and
subtraction of
integers.
I can add and
subtract integers in
a number sentence
that requires more
than one step
up to Level 4
In addition to level 3
performance, indepth inferences and
applications go
beyond what was
explicitly taught.
Solve complex
problems involving
integers
Create and solve
problems involving
the multiplication or
division of integers.
N8.5f
I can solve complex
problems involving
integers
I can relate addition
and subtraction of
integers to
multiplication and
division