MAT-05.NBT.06

 MAT-05 Targeted Standards(NBT) Domain: Number and Operations in Base TenCluster: Perform operations with multi­digit whole numbers and with decimals to hundredths. MAT-05.NBT.06 Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

Student Learning Targets:

Reasoning Targets

• I can understand the relationship between multiplication and division.
• I can understand the connection between place value (base ten) and area models when dividing.

Skills (Performance) Targets

• I can divide four-digit dividends by two-digit divisors with and without remainders.
• I can illustrate and explain calculations using equations, rectangular arrays, and/or area models.

• I can divide three-digit dividends by two-digit divisors with and without remainders.
• I can divide four-digit dividends by one-digit divisors with and without remainders.

Rubric / Proficiency Scale

 Score Description Sample Activity 4.0 Advanced Criteria is Under Development. In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content. - 3.5 In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content with partial success. 3.0 Student is able to find whole-number quotients of whole numbers with up to a four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division.  Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. I can divide four-digit numbers by two-digit numbers with and without remainders. I can show and explain my work using equations, arrays, and area models. - 2.5 No major errors or emissions regarding 2.0 content and partial knowledge of the 3.0 content. 2.0 Student is able to find whole-number quotients and remainders with three-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or relationship between multiplication and division.  Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. I can divide three-digit numbers by two-digit numbers with and without remainders. I can show and explain my work using equations, arrays, and area models. - 1.5 In addition to 1.0 content, student has partial knowledge of the 2.0 and/or 3.0 content. 1.0 Student is able to find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or relationship between multiplication and division.  Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. I can divide four-digit numbers by one-digit numbers with and without remainders. I can show and explain my work using equations, arrays, and area models. - 0.5 Limited or no understanding of the skill is demonstrated.

Resources

Vocabulary

• equation
• strategies
• properties - rules about how numbers work
• rectangular arrays
• area model
• divide
• quotient
• divisor
• dividend
• remainder