SNAPSHOT

The work is insufficient. The student may be unable to complete the task without ongoing help; cannot follow procedures independently.

The work satisfies most basic requirements of the task but is flawed or incomplete in some way. The student may need some help.

The work is complete and accurate; may include minor flaws or errors. If asked, the student is able to produce a simple extension of the same mathematical idea.

The work is complete, accurate, insightful, and efficient. The student may independently find an alternative or shortcut or may develop an extension or further application.

DISPOSITIONS AND APPLICATIONS

• recognizing mathematics
• concepts, strategies, skills
• patterns, relationships

• unable to identify concepts or procedures needed to solve problems or complete tasks recently modelled in class
• does not apply relevant concepts, skills, and strategies appropriately
• often unable to recognize patterns and relationships

• identifies most concepts and procedures needed if problems or tasks have been recently modelled in class
• applies most relevant mathematical concepts, skills, and strategies
• identifies simple patterns and relationships; needs help to use them to solve problems

• identifies concepts and procedures needed to solve problems or complete tasks recently modelled in class
• applies relevant concepts, skills, and strategies appropriately; somewhat inefficient
• identifies and uses simple patterns and relationships

• identifies concepts and procedures needed; may propose alternative solutions or shortcuts
• applies relevant concepts, skills, and strategies effectively and efficiently
• independently identifies, explains, and uses patterns and relationships

STRATEGIES AND APPROACHES

• analyze problems
• procedures
• verify solutions (estimation, mental math, calculator, inverse operations)

• unable to analyze problems to develop a plan
• needs direct support to break tasks into steps
• unable to verify results or solutions

• analyzes problems to develop a plan if problems resemble those recently experienced
• follows steps without adjusting or checking; inefficient
• needs help to verify results or solutions

• analyzes problems to develop a plan
• structures the task into logical steps; may be somewhat inefficient
• if asked, verifies results or solutions

• analyzes problems to develop an efficient plan; insightful
• structures the task efficiently; may find a shortcut or alternative
• may independently verify results or solutions

ACCURACY

• recording
• calculations
• graphic displays

• recording is frequently inaccurate
• includes major calculation errors
• graphic displays are inaccurate, with major errors

• recording includes some errors
• may include some calculation errors; generally “close”
• graphic displays include some errors

• recording may include minor errors
• calculations are generally accurate; may include minor errors
• graphic displays may have minor errors

• recording is accurate and precise
• calculations are accurate; may use mental math
• graphic displays are accurate and precise

REPRESENTATION AND COMMUNICATION

• presenting work
• constructing tables, charts, diagrams, displays
• demonstrating procedures, explaining results

• work is often confusing; key omissions
• may omit required visuals and graphics; may be inappropriate, incomplete
• unable to demonstrate procedures or explain results

• work is confusing in places; some omissions
• includes most required visuals and graphics; some are incomplete
• partially demonstrates procedures and explains results

• work is generally clear and easy to follow
• includes required visuals and graphics; may have minor omissions
• demonstrates procedures and explains results logically, in own words

• work is clear, detailed, and well- organized
• required visuals and graphics are complete and effective
• effectively demonstrates procedures; explains results in own words