Download Accept any rounding

External assessment resource exemplar.
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Assessment Schedule for 2003 Practice of Achievement Standard 1.8
Achievment
Criteria
Find unknowns in
right angled
triangles
Achievement with Merit
Find unknowns in
practical situations
involving right
angled triangles
Question
One
(a)
A
(b)
A
Two
(a)
A
Evidence
BS2 = 1.52 + 3.62
= 15.21
BS = 3.9 km
Judgment
Pythagoras used
 3.6 
BSR  tan 1 

 1.5 
 67.38 
Trig/Pythagoras used
(b)
A
WQ = 3.1 x sin 30
= 1.55 km
Accept any rounding
Correct mathematical
statements and units
are NOT required
Three
(a)
M
½ ST = 2.7 x cos 30o
= 2.338….
RT = 4.6765….
Course = 2.7 + 2.7 + RS
= 10.0765…
= 10.1 km
Trig / trig &
Pythagoras used, with
at least one correct
mathematical
statement. Length of
course stated.
(b)(i)
(ii)
M
M
1.6
cos 50
= 2.49 km
BS
=
Trig used, with at
least one correct
mathematical
statement. Size of
angle stated.
 2 .9 
cos 1 
 = 34o
3
.
5


Achievement with Excellence
Bearing is 066o
Find unknowns in
word or 3-D
problems
Four
W
X
40m
8o
23o
F
M
M
M
E
JX = 40 x cos 8o
= 39.61……
WX = 40 x sin 8o
= 5.5669…..
XF = JX x tan 23o
= 16.81….
Waterfall = WX + XF
= 22.38….
= 22 metres
Sufficiency
3 of Code A
Trigonometry used
Accept any rounding
= 3.1 x cos 30o
= 2.68..….
= 2.7 km
SW
Cross Country
J
Accept any rounding
Units are NOT
required.
Correct mathematical
statements are used.
Minor error/omission
tolerated.
Solution should be
well-reasoned.
Minor error/omission
tolerated.
Units given.
Sensible rounding.
(No more than 1 dp)
Replacement
evidence for finding
unknowns in right
angled triangles
can be found in
Three and Four
Achievement Plus
2 of Code M
or
3 of Code M
Replacement
evidence for finding
unknowns in a
practical context
involving right
angled triangles
can be found in
Four
Merit plus Code E