Download Level one Assessment Schedule for 2005 Practice of Achievement

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Transcript
Level one Assessment Schedule for 2005 Practice of Achievement Standard 90153: Geometry Quilt
Achievement with excellence
Achievement with merit
Achievemen
t
Criteria
Use geometric
reasoning to
solve problems.
Use, and state,
geometric
reasons in
solving
problems.
No.
One
Code
A
GBA = 70
Two
A
ABD = 48o
Three
Four
A
A/M
EDC = 64o
CDG = 57o
GCD = 64o
CGJ = 121o
alt angles, parallel lines
vertically opposite angles
ext angle equals sum of int opp
ACB = 32o
ABC = 116o
ADC = 64o
base angles, isosceles triangle
sum of interior angles of triangle
opposite angles, cyclic quad
Five
Six
Solve an
extended
geometrical
problem
A/M
A/M
Seven
A/M
Evidence
o
Sufficiency
3 of Code A
No alternative
No Alternative
Triangle ACI isosceles
similar with ACD
AID = 52o
base angle isosceles triangle
FIH = 52o
corresp angles, parallel lines
o
CIF = 76
angles on a line
EHF + FHG = 90o
tangent to radius
FHG = EHF - 90o (1)
HFB + BFE = 90o
angle in semi-circle
HFB+ BFE+ EHF+HEF = 180o sum of int angles in triangle
So EHF+HEF = 90o
HBF = HEF
angles on same arc
So EHF+HBF = 90o
HBF = EHF - 90o (2)
Therefore using (1) and (2) HBF = FHG
E
Judgement
No alternative
Throughout Merit:
- allow other valid chains
of reasoning.
- reasons may be
combined into one
statement.
- A is for correct angle
without chain of reasoning
Achievement Plus
Allow other valid proofs.
Merit Plus
Code E
A is for correct chain of
reasoning that uses
numerical values
M is for chain of
reasoning that uses
numeric values with at
most one reason missing.
2 of Code M
or
3 of code M