Divide by 2-Digit Divisors
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Lesson 1: Using Patterns to Divide
Main Idea: Students find the quotients of division problems whose dividends and divisors are multiples of 10, where the division involves a basic fact. They learn how using basic facts and patterns can be helpful in dividing by multiples of 10. Standard(s): 5.NBT.B.6 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. Related Links: Sum Division Demolition Dvision |
Vocabulary and Terminology
1. dividend 2. divisor 3. quotient 4. remainder |
Lesson 2: Estimating Quotients with 2-Digit Divisors
Main Idea: Students use estimation to find approximate solutions to quotients with two-digit divisors using compatible numbers. They learn that there is more than one way to estimate a quotient and substituting compatible numbers is an efficient technique for estimating quotients.
Standard(s): 5.NBT.B.6 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.
Steps:
1. write equation
2. look at divisor (smaller number) and round it to nearest ten. Rounding rules apply.
3. round dividend (makes basic fact) to nearest 10
4. write semi-word form example 370 is 37 tens
5. divide
6. cancel out matching tens to get down to basic fact)
7. check your answer for reasonableness
8. box your answer
Related Links:
Main Idea: Students use estimation to find approximate solutions to quotients with two-digit divisors using compatible numbers. They learn that there is more than one way to estimate a quotient and substituting compatible numbers is an efficient technique for estimating quotients.
Standard(s): 5.NBT.B.6 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.
Steps:
1. write equation
2. look at divisor (smaller number) and round it to nearest ten. Rounding rules apply.
3. round dividend (makes basic fact) to nearest 10
4. write semi-word form example 370 is 37 tens
5. divide
6. cancel out matching tens to get down to basic fact)
7. check your answer for reasonableness
8. box your answer
Related Links:
Lesson 3: Connecting Models and Symbols
Main Idea: Students use arrays and area models to model division. They learn how an array or area model can be used to model the process for dividing whole numbers by 2-digit divisors.
Standard(s): 5.NBT.B.6 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.
Related Links:
Main Idea: Students use arrays and area models to model division. They learn how an array or area model can be used to model the process for dividing whole numbers by 2-digit divisors.
Standard(s): 5.NBT.B.6 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.
Related Links:
Lesson 4: Dividing by Multiples of Ten
Main Idea: Students find quotients with two-digit divisors that are multiples of ten. They learn that dividing with 2-digit divisors is just an extension of the steps for dividing with 1-digit divisors and estimation and place value can help determine the placement of digits in the quotient.5
Standard(s): 5.NBT.B.6 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.
Related Links:
Main Idea: Students find quotients with two-digit divisors that are multiples of ten. They learn that dividing with 2-digit divisors is just an extension of the steps for dividing with 1-digit divisors and estimation and place value can help determine the placement of digits in the quotient.5
Standard(s): 5.NBT.B.6 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.
Related Links:
Lesson 5: 1-Digit Quotients
Main Idea: Students find one-digit quotients where the divisor is a two-digit number. They learn that dividing with 2-digit divisors is just an extension of the steps for dividing with 1-digit divisors and estimation and place value can help determine the placement of digits in the quotient.Standard(s): 5.NBT.B.6 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.
Related Links:
Main Idea: Students find one-digit quotients where the divisor is a two-digit number. They learn that dividing with 2-digit divisors is just an extension of the steps for dividing with 1-digit divisors and estimation and place value can help determine the placement of digits in the quotient.Standard(s): 5.NBT.B.6 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.
Related Links:
Lesson 6: 2-Digit Quotients
Main Idea: Students divide a three-digit number by a two-digit number to find a two-digit quotient. They learn that dividing with 2-digit divisors is just an extension of the steps for dividing with 1-digit divisors and estimation and place value can help determine the placement of digits in the quotient.
Standard(s): 5.NBT.B.6 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.
Related Links:
Main Idea: Students divide a three-digit number by a two-digit number to find a two-digit quotient. They learn that dividing with 2-digit divisors is just an extension of the steps for dividing with 1-digit divisors and estimation and place value can help determine the placement of digits in the quotient.
Standard(s): 5.NBT.B.6 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.
Related Links:
Lesson 7: Dividing Greater Numbers
Main Idea: Students solve problems involving division of numbers with 4 or 5 digits by 2-digit divisors with an estimate, or by using a calculator when the exact answer is needed. They learn that dividing with multi-digit divisors is just an extension of the steps for dividing with 1- and 2-digit divisors and estimation and place value can help determine the placement of digits in the quotient.
Standard(s): 5.NBT.B.6 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.
Related Links:
Main Idea: Students solve problems involving division of numbers with 4 or 5 digits by 2-digit divisors with an estimate, or by using a calculator when the exact answer is needed. They learn that dividing with multi-digit divisors is just an extension of the steps for dividing with 1- and 2-digit divisors and estimation and place value can help determine the placement of digits in the quotient.
Standard(s): 5.NBT.B.6 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.
Related Links:
Lesson 8: Connecting Models and Symbols
Main Idea: Students determine which information is missing and identify extraneous information in problems They learn that some problems have data missing needed to find the answer, and some problems have extra data not needed to solve the problem.Standard(s): 5.NBT.B.6 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.
Related Links:
Main Idea: Students determine which information is missing and identify extraneous information in problems They learn that some problems have data missing needed to find the answer, and some problems have extra data not needed to solve the problem.Standard(s): 5.NBT.B.6 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.
Related Links:
