Download Exemplar for Internal Assessment Resource Mathematics

Exemplar for internal assessment resource Mathematics and Statistics 1.1B for Achievement
Standard 91026
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Exemplar for Internal Assessment Resource
Mathematics and Statistics Level 1
Resource title: Carbon Credits
This exemplar supports assessment against:
Achievement Standard 91026
Apply Numeric Reasoning in Solving Problems
Expected responses
The moderators have developed expected student response from a wide variety of sources.
Date version published by
Ministry of Education
© Crown 2010
December 2010
To support internal assessment from 2011
Exemplar for internal assessment resource Mathematics and Statistics 1.1B for Achievement
Standard 91026
Grade Boundary: Low Excellence
1.
There is evidence of extended abstract thinking in devising a strategy to investigate
the minimum number of trees by basing calculations on a minimum crowd size.
2.
Correct mathematical statements and the communication of mathematical insight
are both demonstrated throughout the task
© Crown 2010
Exemplar for internal assessment resource Mathematics and Statistics 1.1B for Achievement
Standard 91026
Grade Boundary: High Merit
3.
There is evidence of relational thinking in selecting and carrying out a logical
sequence of steps to establish a correct number of trees. Findings have been related
to the context and appropriate mathematical statements have been used to
communicate thinking.
4.
While the final answer has been rounded down this does not show sufficient insight
relating to the minimum number of trees. For the award of Excellence the solution of
the problem needs to incorporate the minimum crowd size.
© Crown 2010
Exemplar for internal assessment resource Mathematics and Statistics 1.1B for Achievement
Standard 91026
Grade Boundary: Low Merit
5.
The number of people buying green days is incorrect but the following calculations
are consistent. It is for this reason the appropriate classification is low Merit.
6.
There is evidence of relational thinking in selecting and carrying out logical sequence
of steps to establish a consistent number of trees. Findings have been related to the
context and appropriate mathematical statements have been used to communicate
thinking.
© Crown 2010
Exemplar for internal assessment resource Mathematics and Statistics 1.1B for Achievement
Standard 91026
Grade Boundary: High Achieved
7.
The trial task (Carbon Offsets) which was used for this exemplar differed from the
current website task (Carbon Credits).
8.
Correctly finds a percentage of a quantity.
9.
Correctly calculates fractions of a quantity.
10.
Correctly calculates the number of trees.
11.
A logical sequence of steps has been carried out but findings are not adequately
related to the context or appropriately communicated because the numeric values
given for the number of offsets, money spent on the offsets and the number of trees
are not sensible. The lack of sensible rounding in the number of trees does not
provide sufficient evidence for either of the Merit requirements, relating findings to a
context or communicating thinking.
© Crown 2010
Exemplar for internal assessment resource Mathematics and Statistics 1.1B for Achievement
Standard 91026
Grade Boundary: Low Achieved
12.
The trial task (Carbon Offsets) which was used for this exemplar differed from the
current website task (Carbon Credits).
13.
The communication (‘carbon offsets’ should be a number of people) and working
(‘17,00’) lack accuracy. The percentage calculation is consistent with the 17 000
people.
14.
Correctly calculates fractions of a quantity.
15.
Correctly calculates the total dollar value using $1.34 per carbon offset.
16.
The student has provided evidence of applying numeric reasoning using a range of
methods (at least three). The demonstration of knowledge of number concepts and
terms and communicating solutions lacks accuracy and this is the reason for the
classification of Low Achieved.
© Crown 2010
Exemplar for internal assessment resource Mathematics and Statistics 1.1B for Achievement
Standard 91026
Grade Boundary: High Not Achieved
17.
The trial task (Carbon Offsets) which was used for this exemplar differed from the
current website task (Carbon Credits).
18.
Correctly finds a percentage of a quantity.
19.
Correctly calculates fractions of a quantity.
20.
Calculation of the dollar value is incomplete.
21.
For Achieved ‘Apply numeric reasoning’ requires using ‘a range of methods’ and
Explanatory Note 4 (EN4) of the standard indicates that a range of methods is at
least three different methods. The student has not achieved because there is
evidence of the use of only two methods
© Crown 2010