Mathematics Assessment Map – Sample at Level 5
Ordering negative and positive numbers
Context
Students were asked to order groups of negative and positive numbers in decimal fraction form. The first set of information was given as a list, while the second set of information was in table form.
The element of the Number standard addressed by the task is:
Students use efficient … written methods … involving rational numbers …
Sample
The following samples illustrate the kinds of responses that students typically produce when they have achieved the elements of the standard addressed by this task.
ORDERING NEGATIVE AND POSITIVE NUMBERS
1. Here are the average temperatures during January for ten cities. The cities are listed alphabetically:
| Cairns |
29° C |
| Denver |
-5.2° C |
| London |
-0.4° C |
| Melbourne |
24.3° C |
| Moscow |
-8.7° C |
| Paris |
9.2° C |
| Prague |
-2.8° C |
| San Francisco |
15° C |
| Stockholm |
-6.1° C |
| Toronto |
-6.2° C |
Re-write the list with the cities listed from lowest average temperature to highest average temperature.
2. This table shows the changes in the Consumer Price Index (CPI) for each quarter of a year for the last three years. (Each quarter has three months. For example, the March quarter has the months January, February and March. The CPI in the March quarter of 1998 was -0.33%).
Write a list that arranges the quarters from those with the lowest CPI to those with the highest.
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Annotation
Number – Level 5
- The student correctly interprets and successfully orders numbers including negative numbers in decimal form.
- The student also extracts data from a table and successfully interprets and orders numbers including negative numbers in decimal fraction form.
Element of Number
Students use efficient … written methods … involving rational numbers …
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