N8.1 Post teacher aug12

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Saskatchewan Common Mathematics Assessments
Post Assessment
Outcome: N8.1 I can find the square root of whole numbers using objects or pictures,
and symbols (numbers).
1. The length of a square is 6 cm. What is the area?
Level
1
2. What is the square of each number?
a. 5
b. 7
3. What is the square root of 16?
4. a)
List the factors of each number in ascending order.
i)
24
ii)
20
iii)
25
iv)
50
b) Which number in part a) is a square number? How can you tell?
Level
2
5. Calculate
400
6. What is the greatest whole number less than
7. Estimate
?
to 1 decimal place.
8. Which of these numbers is a perfect square: 34, 36, 38, or 40?
9. Which of these numbers are square numbers: 48, 64, 57, 81?
10. Which whole numbers between 67 and 141 are perfect squares?
11. What whole number is
closest to?
12. Use a diagram to explain why 81 is a perfect square.
Level
3
13. Simplify
to the nearest whole number.
14. Write N.
Estimate the value of N to 1 decimal place.
36 square units
31 square units
25 square units
6
N
5
15. Use guess and test to estimate
to 2 decimal places. Record each trial.
16. Is 5.66 a good estimate of
? Justify your answer?
Level
4
Teacher Section
Question
Indicator
Level
Source
Teacher Notes: Students should be provided with manipulates to assist them in creating models
while working with fractions.
1
Pre
1
MMS
36 cm2
2
Pre
1
MMS
3
Pre
1
MMS
a) 52 = 25
b) 72 = 49
4
4
A
5
G
6
G
1 ANS:
TB i) i) 24: 1, 2, 3, 4, 6, 8, 12, 24
ii) 20: 1, 2, 4, 5, 10, 20
iii) 25: 1, 5, 25
iv) 50: 1, 2, 5, 10, 25, 50
2
25 is a square number because it has an odd number of factors
2
MMS
400 = 20
2
TB
7
7
F
2
TB
6.9
8
C
2
TB
36
9
C
2
TB
64 & 81
10
H
2
TB
81, 100,121
11
12
C
C
2
3
TB
MMS
9
Answer
A square with side length
9 units has area 81 square units. So, 81 is a perfect square.
13
G
3
TB
7
14
G
3
TB
5.6
15
16
F
G
3
4
TB
TB
ANS
25 < 34 < 36
So, 5 <
<6
With a calculator, use guess and test to refine the estimate.
Sample answer:
Try 5.11:
(too small)
Try 5.22:
(too small)
Try 5.83:
(very close)
Yes, 5.66 is a good estimate.
(too small, but close)
(too large, but close)
(very close)
Outcome: N8.1 I can find the square root of whole numbers using objects or pictures, and
symbols (numbers).
up to Level 1
up to Level 2
up to Level 3
up to Level 4
There is a partial No major errors or
No major errors
In addition to level
understanding of omissions regarding the
or omissions
3 performance, insome of the
simpler details or
regarding any of
depth inferences
Description of
simpler details
processes, but major
the information
and applications
Levels:
and processes.
errors or omissions
and/or processes
go beyond what
(based on
Prior knowledge regarding the complex
that were
was explicitly
Marzano,
is understood.
processes may be
explicitly taught. taught.
2007)
present.
This is the target
level for
proficiency.
Demonstrate an
Recognize, show, and
Apply estimation Determine the
understanding of explain the relationship
strategies to
value or an
division through between whole numbers
determine
approximate value
the development and their factors using
approximate
of a principle
and application
concrete or pictorial
values for
square root with or
of divisibility
representations (e.g.,
principle square
without the use of
strategies for 2,
using a set number of
roots. N8.1 f
technology. N8.1 g
3, 4, 5, 6, 8, 9,
tiles, create rectangular
Determine if
Extend
and 10, and
regions and record the
Indicators
specific numbers understanding of
dimensions of those
and Learning through an
are perfect
square roots to
analysis of
regions, and describe
Targets for
squares through
include the square
how those dimensions
each Level: division
root of positive
involving zero.
relate to the factors of the the use of
different types of rational numbers.
N7.1
number). N8.1 a
representations
N9.3
Identify a number with a and reasoning,
principle square root
and explain the
between two given
reasoning. N8.1 c
numbers and explain the
reasoning. N8.1 h
Studentfriendly
descriptions
of learning
targets.
I can use the
divisibility rules
for 2, 3, 4, 5, 6,
8, 9 and 10.
I can recognize, show,
and explain the factors of
whole numbers using
objects and/or pictures.
I can identify a perfect
square between two
given numbers.
I can estimate
square roots.
I can find perfect
squares using
different
strategies and I
can explain my
thinking.
I can find and
estimate square
roots using more
than just a
calculator.
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