Index of Summative Tasks
Our summative tasks are divided into three classes - Novice, Apprentice and Expert. This is not a measurement of the difficulty of the content, but indicates the extent to which they require students to autonomously apply their mathematical knowledge: Novice tasks explicitly test particular items of content knowledge, Expert tasks are far less structured and require strategic problem-solving skills in addition to content knowledge. A “balanced diet” of Novice, Apprentice and Expert tasks is needed to properly assess the Mathematical Practices.
Each task includes a scoring rubric, a set of pre-scored sample student work, and the same set of work without the scores. Scoring practice for this type of task can be an effective Professional Development activity.
A selection of test forms using these styles of task is also available.
Choosing Tasks
There are several ways of navigating:
- Use the menu on the left to browse by grade and topic area, or search for a key phrase.
- Go to the Standards tab to find tasks linked to a particular content standard or practice.
- The complete set of tasks is listed below in alphabetic order.
High School
Arithmetic with Polynomials and Rational Expressions
Expressing Geometric Properties with Equations
Interpreting Categorical and Quantitative Data
Proofs Of The Pythagorean Theorem?
Reasoning with Equations and Inequalities
![[Shell Center Logo]](https://map.mathshell.org/img/shell_white.png "The Shell Center for Mathematical Education")
![[UCB Logo]](https://map.mathshell.org/img/ucb_white.png "The University of California at Berkeley")
![[Nottingham Logo]](https://map.mathshell.org/img/uon_white.png "The University of Nottingham - Centre for Research in Mathematics Education")