SS7.3 Post teacher aug12

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Saskatchewan Common Mathematics Assessments
Post Assessment
Outcome: SS7.3 Demonstrate an understanding of 2-D relationships
involving lines and angles.
1.
Match the following words with the correct types of lines. Some answers may be used
more than once.
Level
1
_____ Parallel
_____ Intersecting
_____ Perpendicular
_____ Vertical
_____Horizontal
A.
B.
C.
2. (a) Draw a line segment AB of length 10 cm.
Level
2
(b) Use a ruler and protractor to draw a line segment parallel to AB.
3
(c) Use a ruler and compass to draw a line segment parallel to AB.
3
(d) Explain why the lines are parallel.
2
Level
2
3. (a) Draw a line segment CD of length 8 cm.
(b) Use a ruler and protractor to draw a line segment that is perpendicular to CD,
and that bisects line segment CD.
3
Level
Use a ruler and compass to draw a line segment which is the perpendicular bisector of CD.
3
2
d) Explain how to verify your answer for parts b and c.
4. (a) Use a ruler and protractor to draw angle  ABC = 80°.
2
(b) Use a ruler and protractor to draw the angle bisector of  ABC.
(c) Use a ruler and compass to draw the angle bisector of  ABC.
(d) Explain how to verify your answer for parts b and c.
3
3
2
5. Given the following triangle CDE, use a method to construct the angle bisectors of
all three angles. Extend these angle bisectors and describe what you find.
Level
3
E
C
D
6. Given the following triangle RST, use a method to construct the perpendicular
bisectors of each side of the triangle. Extend these perpendicular bisectors and
describe what you find.
7.R
S
3
T
7. A rectangle and a right triangle can be put together in a variety of ways. If the dimensions
of the structures are shown below, which of the following combinations has the smallest
perimeter and by how much? Explain your answer.
Teacher Section
Teacher Notes: -compass, protractor, straight edge (ruler)
-prior knowledge –grade 5
The teacher may need to adjust questions related to constructions depending upon the
construction methods students learned.
Indicator
1
SS7.3 1
a
2
2a
Answer
Level
Question
Answer Key:
2b
SS7.3 3
c,g
2c
SS
7.3
c,g
B A A B C
3
Student answers will vary depending on the construction method used.
2d
2
3a
2
3b
SS
7.3
c,i
Student should explain the properties of parallel lines.
 On the same flat surface (same plane)
 Lines are the same distance apart
 Lines that never meet or intersect
3
Student answers will vary depending on the construction method used.
3c
3
3d
2
Student answers may vary. Perpendicular lines intersect a right angles or 90 degrees.
4a
2
Draw angle  ABC = 80°
3
Student answers will vary depending on the construction method used.
4c
3
Student answers will vary depending on the construction method used.
4d
2
Student answers may vary. An angle bisector divides the angle into two equal parts. 40
+ 40 = 80 degrees
Answers will vary depending on the method
Answers will vary depending on the method
B has a perimeter of 36 cm, the others have perimeters of 40 cm
4b
5
6
7
SS
7.3
c,h
h
h
3
3
4
Outcome: SS7.3 Demonstrate an understanding of 2-D relationships involving lines and
angles.
up to Level 1
up to Level 2
up to Level 3
up to Level 4
Description of
Levels:
(based on
Marzano, 2007)
Indicators and
Learning
Targets for each
Level:
Student-friendly
descriptions of
learning targets.
There is a partial
understanding of
some of the
simpler details and
processes.
Prior knowledge is
understood.
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.
In addition to level 3
performance, indepth inferences and
applications go
beyond what was
explicitly taught.
SS5.5 a
-Identify and
describe parallel,
intersecting,
perpendicular,
vertical and
horizontal lines.
SS7.3 a
-Identify and
describe parallel
line segments,
perpendicular
line segments,
perpendicular
bisectors, and
angle bisectors.
SS7.3 f,g,h,i
-Construct and
explain parallel
and
perpendicular
line segments.
-Construct and
verify a bisector
of a given angle
and a
perpendicular
bisector of a line
segment.
SS7.3 j
-Create and solve
problems using
geometric
constructions.
I can identify
parallel,
intersecting,
perpendicular,
vertical and
horizontal lines.
I can identify
parallel lines,
perpendicular
lines,
perpendicular
bisectors and angle
bisectors.
I can construct and
verify parallel
lines,
perpendicular
lines, angle
bisectors and
perpendicular
lines.
I can create designs
and solve problems
using geometric
constructions.
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