Mathematics
Standard
Name
Summative Assessment
DC
Class
Grade 9
Unit
Coordinate Geometry
Key Concept
Forms
Global Context
Orientation in Space and Time
Constraints and Adaptations
Statement of Inquiry
It is important to know the limitations(constraints) of different forms of
representations of systems to make adaptations.
Related Concept
Representation /Systems
Criterion D: Applying mathematics in real-life contexts
Achievement level
0
1-2
3-4
5-6
7-8
Level descriptor
Clarification
The student does not reach a standard described by
any of the descriptors below.
The student is able to:
i. Identify some of the elements of the authentic
real-life situation.
ii. Apply mathematical strategies to find a solution
to the authentic real-life situation, with limited
success.
The student is able to:
i. Identify the relevant elements of the authentic
real-life situation.
ii. Select, with some success, adequate
mathematical strategies to model the authentic
real-life situation.
iii. Apply mathematical strategies to reach a
solution to the authentic real- life situation.
iv. Discuss whether the solution makes sense in the
context of the authentic real-life situation.
The student is able to:
i. Identify the relevant elements of the authentic
real-life situation.
ii. Select adequate mathematical strategies to
model the authentic real- life situation.
iii. Apply the selected mathematical strategies to
reach a valid solution to the authentic real-life
situation.
iv. Explain the degree of accuracy of the solution.
v. Explain whether the solution makes sense in the
context of the authentic real-life situation.
The student is able to:
i. Identify the relevant elements of the authentic
real-life situation.
ii. Select appropriate mathematical strategies to
model the authentic real- life situation.
iii. Apply the selected mathematical strategies to
reach a correct solution to the authentic reallife situation.
iv. Justify the degree of accuracy of the solution.
1
v.
Justify whether the solution makes sense in the
context of the authentic real-life situation.
Mark
/8
Criterion C: Communication
Achievement level
0
Level descriptor
Clarification
The student does not reach a standard
described by any of the descriptors below.
1-2
The student is able to:
i. Use limited mathematical language.
ii. Use limited forms of mathematical
representation to present information.
iii. Communicate through lines of reasoning that
are difficult to interpret.
3-4
The student is able to:
i. Use some appropriate mathematical
language.
ii. Use appropriate forms of mathematical
representation to present information
adequately.
iii. Communicate through lines of reasoning
that are complete.
iv. Adequately organize information using a
logical structure.
5-6
The student is able to:
i. Usually use appropriate mathematical
language.
ii. Usually use appropriate forms of
mathematical representation to present
information correctly.
iii. Usually move between different forms of
mathematical representation.
iv. Communicate through lines of reasoning
that are complete and coherent.
v. Present work that is usually organized
using a logical structure.
7-8
The student is able to:
i.
Consistently use appropriate
mathematical language.
ii.
Use appropriate forms of mathematical
representation to consistently present
information correctly.
iii. Move effectively between different forms
of mathematical representation.
iv. Communicate through lines of reasoning
that are complete, coherent and concise.
v.
Present work that is consistently
organized using a logical structure
Mark
/8
2
Question1
A building is on fire and the fire department are called. They need to evacuate people
from the third floor and fourth floor windows with the extension ladder attached to the
back of the truck.
The base of the ladder is 2 m above the ground. The fully extended ladder is 25 m in
length.
Consider the following situations:
A. Situation 1:
The fire truck parks so the base of the ladder is 7 m from the building.
1. How high is the top of the ladder from the ground?
____________________________________________________________________
____________________________________________________________________
____________________________________________________________________
____________________________________________________________________
2. Will the ladder reach the fourth-floor window which is 26 m above the
ground? Explain
____________________________________________________________________
____________________________________________________________________
3
B. Situation 2:
The third-floor window is 22 m above the ground.
By how much should the ladder be retracted (made shorter) so that it will just reach
the third-floor window?
____________________________________________________________________
____________________________________________________________________
____________________________________________________________________
____________________________________________________________________
C. Situation 3:
The ladder gets stuck in the fully extended position (25 m in length).
How far away from the building should the base of the ladder be so that the ladder
can reach the third-floor window?
____________________________________________________________________
____________________________________________________________________
____________________________________________________________________
____________________________________________________________________
4
Question2
In the map below the grid lines are 10 km apart. Find the distance between Coat
Bridge and Dalgety Bay.
____________________________________________________________________
____________________________________________________________________
____________________________________________________________________
____________________________________________________________________
____________________________________________________________________
Question3
A building company makes all their ramps with a base to height ratio of 12:1 to be
wheel-chair accessible.
A certain ramp needs to cover a height of 0.8 m. What is the length l of this ramp?
____________________________________________________________________
____________________________________________________________________
____________________________________________________________________
____________________________________________________________________
____________________________________________________________________
5
Reflection
What level do you think you
have achieved for each
criteria?
Give reasons
C
D
What is the connection
between this summative
assessment and the Key
Concept of ‘………………’ ?
How did this assessment
help you explore the Global
Context of ‘………………….’ ?
What ATL skills have you
attained in this assessment?
What Learner profile
attributes have you attained
in this assessment? Explain
why?
What did you find
challenging during this
assessment? Explain what
you would change and how
you can change it next time?
What went well in this
summative assessment?
Explain how
Teacher Feedback
6