Mental Math Coding Rubric Grade 5 Multiplication Examples 18 x 3 49 x 4 25 x 12 0 1 03 Effective mental math strategy 12 Efficient mental math strategy 20 Efficient mental math with incorrect answer with incorrect answer strategy with correct answer. (or final answer omitted) (or final answer omitted) •Doubling and Halving: 18 x 3 = 9 x 6 = 54 •Compensation: 20 X 3 – 6 = 54 • Distributive Property: 3 x 10 + 3 x 8 = 54 15 x 3 + 3 x 3 = 45 + 9 = 54 02 Evidence that a pictorial strategy was used to solve the computation. (correct or incorrect) 11 Effective mental math strategy Ex: Base ten blocks drawn Arrays or groups drawn Tally marks Closed number line (every number is represented) •Repeated Addition 18 + 18 + 18 = 54 01 Evidence that a traditional algorithm was used to solve the computation (correct or incorrect) ANY evidence of ‘carrying/borrowing/regrouping’ or this process described in words only •Distributive Property (4 partial products): 20 x 10 + 20 x 2 + 5 x 10 + 5 x 2 = 300 or displayed as ‘Window method’ (or if single digit factor is written with a zero in tens place and four partial products shown) with correct answer •Doubling and Halving: 49 x 4 = 98 x 2 = 196 •Relating 4x table to 2x table: 49 x 2 = 98, 98 x 2 = 196 •Distributive Property: 20 x 12 + 5 x 12 = 300 25 x 10 + 25 x 2 = 300 •Repeated Doubling & halving: 25 x 12 = 50 x 6 = 100 x 3 = 300 2 •Compensation: 50 x 4 – 4 = 196 •Distributive Property: 40 x 4 + 9 x 4 = 196 •Doubling and Halving: 25 x 12 = 50 x 6 = 300 •Think quarters: 12 ÷ 4 = 3, 3 x 100 = 300 10 Correct answer only NO thinking is shown 00 None of the above Evidence that a student does not fully understand a mental math strategy (ie: compensation done incorrectly in final step by using wrong operator) or evidence of skip counting Color of text corresponds to sample question of same color.
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