SNAPSHOT

The work is insufficient. The student is unable to meet basic requirements of the task without close, ongoing assistance. No relevant extension.

The work satisfies most basic requirements but is flawed or incomplete. The student may provide an extension that varies slightly from the original task.

The work satisfies basic requirements of the task. If asked, the student can produce a relevant extension or illustration.

The work is complete, accurate, insightful, and efficient. The student may volunteer an extension, application, or further illustration of the same mathematical idea.

CONCEPTS AND APPLICATIONS

• recognizing mathematics
• grade-specific concepts, skills
• patterns, relationships

• unable to identify concepts or procedures needed
• does not apply relevant concepts, skills, and strategies appropriately; major errors or omissions
• unable to recognize patterns and relationships

• identifies most concepts and procedures needed; may oversimplify
• applies most relevant concepts, skills, and strategies appropriately; some key flaws
• with support, can recognize and use some patterns and relationships

• identifies concepts and procedures needed
• applies relevant concepts, skills, and strategies appropriately; may be somewhat inefficient
• recognizes and uses basic patterns and relationships

• identifies concepts and procedures needed; may offer alternative methods
• applies relevant concepts, skills, and strategies accurately and efficiently; thorough
• recognizes and uses patterns and relationships; generalizes

STRATEGIES AND APPROACHES

• analyze problems
• procedures
• estimate to verify solutions

• unable to analyze problems
• unsystematic and inefficient; unable to follow appropriate strategies
• answers or solutions are often improbable (weak estimation skills)

• analyzes problems to develop a plan
• follows instructions without adjusting procedures; inefficient
• may need reminding to verify results or solutions; estimates are generally logical

• analyzes problems to develop a plan
• structures the task into logical steps or stages; may be inefficient
• makes logical estimations to verify results or solutions

• analyzes problems to develop an efficient plan; insightful
• structures the task efficiently; may find alternative methods
• makes relatively accurate estimations to verify results or solutions

ACCURACY

• recording
• calculations
• charts, diagrams, graphs

• recording is frequently inaccurate
• major calculation errors
• major errors in charts, diagrams, and graphs

• some recording errors
• some calculation errors, often involving decimals
• some errors in charts, diagrams, and graphs

• minor recording errors
• minor errors in calculations
• minor errors in charts, diagrams, and graphs

• accurate and precise records
• accurate calculations; may use mental math
• charts, diagrams, and graphs are accurate and precise

REPRESENTATION AND COMMUNICATION

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

• work is often confusing, with key omissions
• often omits required charts, diagrams, and graphs or makes inappropriate choices
• explanations are incomplete or illogical; little or no mathematical language

• most work is clear; may omit some information
• creates required charts, diagrams, and graphs; some features may be incomplete or inappropriate
• explanations are incomplete; little mathematical language

• work is generally clear and easy to follow
• creates required charts, diagrams, and graphs appropriately; minor omissions
• explanations and demonstrations are complete, in own words, and include some mathematical language

• work is clear, detailed, and well-organized
• creates effective charts, diagrams, and graphs
• explanations and demonstrations are clear, in own words, and include mathematical language; may be innovative or insightful