Mathematics Scoring Rubric Problem-Solving (M4)

Transcription

1 Mathematics Scoring Rubric Problem-Solving (M4) Problem-Solving: Understands problem/task, plan/strategy, computation/solution B A I shows complete understanding of the problem identifies, relates, and uses all important components of the problem performs computations completely and correctly but may make one minor error (computation, transposition 1, or transcription 2 ) uses an appropriate strategy that should lead to a correct solution shows understanding of the problem identifies, relates, and uses most of the important components of the problem performs computations that are generally correct but may make some minor errors (computation, transposition 1, or transcription 2 ) uses an appropriate strategy that should lead to a reasonable solution shows some understanding of the problem identifies, relates, and uses some important components of the problem performs computations that contain major computational errors shows some evidence of a strategy to solve the problem shows limited to no understanding of the problem fails to identify, relate, or use important components of the problem uses an inappropriate strategy for solving the problem places too much emphasis on unrelated components of the problem attempts an answer Blank (no attempt or completely erased answer) Correct answer only (no work shown) Incorrect answer only (no work shown) 1 Transposition: change the usual order of letters, words, or numbers (e.g., 35/53, triangle/traingle) 2 Transcription: copying from one form of recorded documentation to another (e.g., human error indicating 55 when you meant 44) 02/2014

2 Mathematics Scoring Rubric Communication (M4) Communication: Explanation, math terminology/notation, and details (e.g., use of graphs, tables, charts, figures, diagrams, numbers, symbols) C4 C3 C2 C1 CB CA CI communicates a solution that is complete, logical, well- organized, and related to the problem using words, pictures, and/or symbols makes explicit the strategy, computations, and ideas uses math terminology and/or notation that is appropriate and accurate communicates a solution that is reasonable and organized using words, pictures and/or symbols provides a solution where the strategy, some computations and/or some ideas have to be inferred uses math terminology and/or notation that is appropriate, but may have minor errors in notation communicates a solution that is poorly organized/hard to follow using words, pictures and/or symbols provides a solution where much of the strategy, many computations, and/or many ideas have to be inferred uses math terminology and/or notation incorrectly Communicates a minimal solution using words, pictures and/or symbols provides a solution where the strategy, computation and/or idea cannot be inferred does not use math terminology and/or notation Blank (no attempt or completely erased answer) Correct answer only (no work shown) Incorrect answer only (no work shown) Note: Students may be able to demonstrate solid communication of their mathematical thinking even though their answer may not reflect a correct understanding of the problem. 02/2014

3 Mathematics in Grade 4, Problem-Solving Exemplar 1 Mathematics in Grade 4, Problem-Solving Exemplar 1 Justification Problem-Solving 4 Complete understanding of the problem Uses all important components of the problem Performs computations completely and correctly Evidence of an appropriate strategy that leads to a correct solution Communication 4 Communicates a solution using words, pictures and/or symbols that is complete, logical, well-organized and related to the problem Strategy, computations and ideas are made explicit Math notation is appropriate and accurate

4 Mathematics in Grade 4, Problem-Solving Exemplar 2 Mathematics in Grade 4, Problem-Solving Exemplar 2 Justification Problem-Solving 4 Complete understanding of the problem Uses all important components of the problem Performs computations completely and correctly, but contains one minor error Evidence of an appropriate strategy that leads to a correct solution Communication 3 Communicates a solution using words, pictures and/or symbols that is reasonable, organized, and related to the problem Computation has to be inferred Need to infer why 4 cars are needed when no information is given about the 17 people Math notation is appropriate but has minor errors

5 Mathematics in Grade 4, Problem-Solving Exemplar 3 Mathematics in Grade 4, Problem-Solving Exemplar 3 Justification Problem-Solving 3 Shows understanding of the problem Uses most of the important components of the problem Evidence of an appropriate strategy that should lead to a correct solution Communication 4 Communicates a solution using words, pictures and/or symbols that is complete, logical, well-organized and related to the problem Student totally understands his misunderstanding of the problem

6 Mathematics in Grade 4, Problem-Solving Exemplar 4 Mathematics in Grade 4, Problem-Solving Exemplar 4 Justification Problem-Solving 4 Complete understanding of the problem Uses all important components of the problem Performs computations completely and correctly, but may contain one minor error Evidence of an appropriate strategy that leads to a correct solution Communication 3 Communicates a solution using words, pictures and/or symbols that is reasonable, organized, and related to the problem Strategy, computations and ideas has to be inferred Need to infer why 4 cars are needed when no information is given about the 17 people Error in math notation with incorrect use of the equal sign

7 Grille de correction en mathématiques résolution de problèmes (M4) Résolution de problème : comprend le problème, le plan/la stratégie, le calcul/la solution B A I comprend parfaitement le problème identifie, reconnait et utilise tous les volets importants du problème effectue parfaitement et correctement les calculs, même s il lui arrive de faire une erreur mineure (calcul, transposition 1 ou transcription 2 ) utilise une stratégie appropriée qui devrait mener à une solution correcte montre qu il comprend le problème identifie, reconnait et utilise la plupart des volets importants du problème effectue des calculs qui sont généralement corrects, mais qui contiennent parfois des erreurs mineures (calcul, transposition 1 ou transcription 2 ) utilise une stratégie appropriée qui devrait mener à une solution correcte montre qu il comprend partiellement le problème identifie, reconnait et utilise certains volets importants du problème effectue des calculs qui contiennent des erreurs majeures de calcul montre certains indices de l utilisation d une stratégie pour résoudre le problème montre une compréhension limitée du problème ou ne le comprend pas est incapable d identifier ou d utiliser les volets importants du problème, ou de faire des liens entre ces derniers utilise une stratégie inappropriée pour résoudre le problème se concentre sur les volets qui n ont pas de rapport avec le problème tente de répondre ne tente pas de répondre ou efface complètement la réponse bonne réponse seulement (sans montrer son travail) mauvaise réponse seulement (sans montrer son travail) 1 Transposition : changement à l ordre habituel des lettres, mot ou nombres (p. ex. : 35/53, triangle/traingle) 2 Transcription : copier d un format de documentation à un autre (p. ex. : erreur indiquant 55 plutot que 44) 02/2014

8 Grille de correction en mathématiques communication (M4) Communication : explication, terminologie/notation mathématique et détails (utilisation de graphiques, de tableaux, de figures, de schémas, de nombres, de symboles, etc.) C4 C3 C2 C1 CB CA CI fournit une solution qui est complète, logique, bien organisée et associée au problème en utilisant des mots, des images ou des symboles indique explicitement la stratégie, les calculs ou les idées utilise une terminologie/notation mathématique appropriée et précise fournit une solution qui est raisonnable et organisée en utilisant des mots, des images ou des symboles fournit une solution qui oblige le lecteur à déduire la stratégie, certains calculs ou certaines idées utilise, la plupart du temps, une terminologie/notation mathématique appropriée (fait parfois des erreurs mineures dans la notation) fournit une solution qui est mal organisée/difficile à suivre, en utilisant des mots, des images ou des symboles fournit une solution qui oblige le lecteur à déduire une bonne partie de la stratégie, des calculs ou des idées utilise une terminologie/notation mathématique de façon incorrecte L élève fournit une solution vague en utilisant des mots, des images ou des symboles fournit une solution dont le lecteur est incapable de déduire la stratégie, les calculs ou les idées n utilise pas une terminologie/notation mathématique ne tente pas de répondre ou efface complètement la réponse bonne réponse seulement (sans montrer son travail) mauvaise réponse seulement (sans montrer son travail) Note : L élève pourrait être capable de démontrer une bonne communication de son raisonnement mathématique même si la réponse ne réflète pas une bonne compréhension du problème. 02/2014

9 Mathematics in Grade 4, Problem-Solving Exemplar 1 Mathematics in Grade 4, Problem-Solving Exemplar 1 Justification Problem-Solving 4 Complete understanding of the problem Uses all important components of the problem Performs computations completely and correctly Evidence of an appropriate strategy that leads to a correct solution Communication 4 Communicates a solution using words, pictures and/or symbols that is complete, logical, well-organized and related to the problem Strategy, computations and ideas are made explicit Math notation is appropriate and accurate

10 Mathematics in Grade 4, Problem-Solving Exemplar 2 Mathematics in Grade 4, Problem-Solving Exemplar 2 Justification Problem-Solving 4 Complete understanding of the problem Uses all important components of the problem Performs computations completely and correctly but contains one minor error Evidence of an appropriate strategy that leads to a correct solution Communication 3 Communicates a solution using words, pictures and/or symbols that is reasonable, organized, and related to the problem Computation has to be inferred: what does the 1 with 7 dots represent? Math notation is appropriate but has minor errors

11 Mathematics in Grade 4, Problem-Solving Exemplar 3 Mathematics in Grade 4, Problem-Solving Exemplar 3 Justification Problem-Solving 4 Complete understanding of the problem Uses all important components of the problem Performs computations completely and correctly but contains one minor error Evidence of an appropriate strategy that leads to a correct solution Communication 2 Communicates a solution using words, pictures and/or symbols that is hard to follow but is related to the problem Computation has to be inferred: grouping not made explicit Math notation is used incorrectly

12 Mathematics in Grade 4, Problem-Solving Exemplar 4 Mathematics in Grade 4, Problem-Solving Exemplar 4 Justification Problem-Solving 3 Shows understanding of the problem Uses most of the important components of the problem Evidence of an appropriate strategy that should lead to a correct solution Communication 1 Communicates a solution using words, pictures and/or symbols that is minimally related to the problem Strategy, computation and/or idea cannot be inferred Math terminology and/or notation is largely absent