N6.2 Post teacher aug12

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Saskatchewan Common Mathematics Assessments
Post Assessment
Outcome: N6.2 Demonstrate understanding of factors and multiples (concretely,
pictorially, and symbolically) including: determining factors and multiples of numbers
less than 100; relating factors and multiples to multiplication and division;
determining and relating prime and composite numbers.
1. Use a hundreds chart. Start at 3. Find the first 6 multiples of 3.
Level
1
List the multiples:
___________________________________________________________________
2. List the first 6 multiples of each number:
a) 9, _____________________________________________________________
b) 12, ____________________________________________________________
3. List all the factors of each number:
a) 12, ________________________________________
b) 98, _______________________________________
4. Use the table to sort the numbers 30 to 50 as prime or composite.
prime
composite
5. a) Create a factor tree for the following number.
32
b) List the factors of 32 that are prime.
________________________________________
6. List all the factors for each number. Circle those that are prime.
a) 64 ________________________________________________________
b) 78 ________________________________________________________
Level
2
7. Use the Venn diagram provided to find the common factors of 18 and 24.
8. Draw a Venn diagram to display the common factors of 18 and 42.
9. Use these numbers: 83, 77, 47, 56, 81, 126, 63, 108, 29.
Which numbers are:
a) Multiples of 9? ___________________________________
b) Prime numbers? _________________________________
c) Composite numbers? ______________________________
10. Draw 3 different factor trees for 72.
Level
3
11. Tasha wants to plant equal numbers of marigolds and petunias. Marigolds come in trays of 8.
Petunias come in trays of 6. What is the least number of trays of marigolds and petunias Tasha
needs to have the same amount of each flower to plant?
Show your work here.
12. Julia has a bead loom to make a bracelet. She wants to use 24 beads and put all beads in rows
of equal lengths. Julia wants the number of beads in each row to be factors of 24.
How many possible arrangements can she make?
Show work here.
13. Two TV movies start at 7:00 P.M. One channel airs commercials every 6 minutes.
The other airs commercials every 9 minutes.
When will the two channels start commercial breaks at the same time?
Show work here.
Level
4
Teacher Section
Teacher Notes:
Question
Indicator
Answer Key:
1.
2.
N6.2 c
N6.2
b,d
N6.2
f, i
N6.2 e
1
1
6, 9, 12, 15, 18, 21
a) 18, 27, 36, 45, 54, 63
1
a) 1, 2, 3, 4, 6, 12
1
1
2
2
2
2
10.
N6.2 e
N6.2 f
N6.2 i
N6.2 i
N6.2
c,e,f
N6.2 h
prime – 31, 37, 41, 43, 47
composite - 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50
Factor tree may include: 1, 2, 4, 8, 16, 32
a) 1, 2, 4, 8, 16, 32, 64 b) 1, 2, 3, 6, 13, 26, 39, 78
common factors: 1, 2, 3, 6
common factors: 1, 2, 3, 6
a) 63, 81, 108, 126 b) 29, 47, 83 c) 56, 63, 77, 81, 108, 126
11.
N6.2 h
3
12.
N6.2 h
4
13.
N6.2 h
4
3.
4.
5.
6.
7.
8.
9.
Level
Answer
b) 12, 24, 36, 48, 60, 72
b) 1, 2, 7, 14, 49, 98
3
# of
# in tray
# of petunias
# in tray
marigolds
1
8
1
6
2
16
2
12
3
24
3
18
4
32
4
24
5
40
5
30
1 row of 24, 2 rows of 12, 3 rows of 8, 4 rows of 6, 6 rows of 4, 8 rows of 3,
12 rows of 2
8:18 PM, 8:36 PM, 8:54 PM
Outcome: N6.2 Demonstrate understanding of factors and multiples (concretely, pictorially,
and symbolically) including: determining factors and multiples of numbers less than 100;
relating factors and multiples to multiplication and division; determining and relating prime
and composite numbers.
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.
P5.1 b, e
N6.2 b, c, d, e, f, i


Indicators
and
Learning
Targets for
each Level:


Describe a pattern
found in a chart.
Verify whether a
number belongs to a
given pattern.
Solve questions
involving factors,
multiples, and
prime factors.
Analyze whole
numbers to
determine if they
are prime or
composite.
I can identify numbers
in a pattern.
Studentfriendly
descriptions
of learning
targets.
I can identify and
understand prime and
composite numbers.
I can list the factors and
multiples of a given
number.
No major errors or
omissions
regarding the
simpler details or
processes, but
major errors or
omissions
regarding the
complex processes
may be present.
N6.2 c, e, f, i
No major errors or
omissions
regarding any of
the information
and/or processes
that were explicitly
taught.
This is the target
level for
proficiency.
N6.2 h
In addition to level 3
performance, indepth inferences and
applications go
beyond what was
explicitly taught.



Analyze two
whole
numbers for
their common
factors.
I can identify the
common factors of
two numbers.
Solve
situational
questions
involving
factors,
multiples and
prime factors.
I can solve simple
word problems
using factors,
multiples and
prime factors.
N6.2 h
Solve problems
that are complex
or involve
multiple steps
I can solve multistep word problems
using factors,
multiples and prime
factors.
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