Unit
Dividing by 1 and 2 Digit Divisors
Local Objective
At the completion of this unit, the students will be able to:
- Find the quotient of a division problem whose dividend is a multiple of 10, where division involves a basic fact.
- Use rounding to estimate quotients of whole numbers.
- Check problems for reasonableness by using various methods, including estimation and checking their final answer.
- Find quotients using the model of sharing money.
- Divide three-digit whole numbers by one-digit divisors.
- Divide with zeros in the quotient.
- Use divisibility rules to determine if a number is divisible by another and to find factor pairs of a given number.
- Identify numbers as prime or composite and find the prime factorization of a number.
- Find the quotients of division problems whose dividends and divisors are multiples of 10, where the division involves a basic fact.
- Use estimation to find approximate solutions to quotients with two-digit divisors using compatible numbers.
- Find quotients with a two-digit divisor that is a multiple of ten.
- Find one-digit quotients where the divisor is a two-digit number.
- Divide a three-digit number by a two-digit number to find a two-digit quotient.
Objective used to evaluate students
Yes
Assessment Activity
Students will be assessed:
- Using the 4-1 Dividing Multiples of 10 and 100 Quick Check and Practice worksheets to show the student can find the quotient of a division problem whose dividend is a multiple of 10, where division involves a basic fact.
- Using the 4-2 Estimating Quotients Quick Check and Practice worksheets to show the student can use rounding to estimate quotients of whole numbers.
- Using the 4-3 Problem Solving: Reasonableness Quick Check and Practice worksheets to show that the student can check problems for reasonableness by using various methods, including estimation and checking their final answer.
- Using the 4-4 Connecting Models and Symbols Quick Check and Practice worksheets to show the student can find quotients using the model of sharing money.
- Using the 4-5 Dividing by 1-Digit Divisors Quick Check and Practice worksheets to show the student can divide three-digit whole numbers by one-digit divisors.
- Using the 4-6 Zeros in the Quotient Quick Check and Practice worksheets to show the student can divide with zeros in the quotient.
- Using the 4-7 Understanding Factors Quick Check and Practice worksheets to show the student can use divisibility rules to determine if a number is divisible by another and to find factor pairs of a given number.
- Using the 4-8 Prime and Composite Numbers Quick Check and Practice worksheets to show the student can identify numbers as prime or composite and find the prime factorization of a number.
- Using the 5-1 Using Patterns to Divide Quick Check and Practice worksheets to show the student can find the quotients of division problems whose dividends and divisors are multiples of 10, where the division involves a basic fact.
- Using the 5-2 Estimating Quotients with 2-digit Divisors Quick Check and Practice worksheets to show the student can use estimation to find approximate solutions to quotients with two-digit divisors using compatible numbers.
- Using the 5-4 Dividing by Multiples of 10 Quick Check and Practice worksheets to show the student can find quotients with a two-digit divisor that is a multiple of ten.
- Using the 5-5 1-Digit Quotients Quick Check and Practice worksheets to show the student can find one-digit quotients where the divisor is a two-digit number. .
- Using the 5-6 2-Digit Quotients Quick Check and Practice worksheets to show the student can divide a three-digit number by a two-digit number to find a two-digit quotient.
- After completing practice on objectives 1-8, using the Topic 4 Dividing by 1-Digit Divisors Multiple Choice Exam to show students can:
- Find the quotient of a division problem whose dividend is a multiple of 10, where division involves a basic fact. (Question 2)
- Use rounding to estimate quotients of whole numbers. (Questions 4,6 )
- Check problems for reasonableness by using various methods, including estimation and checking their final answer. (Question 9)
- Can find quotients using the model of sharing money. (Question 4)
- Can divide three-digit whole numbers by one-digit divisors. (Questions 3,8,12 )
- Can divide with zeros in the quotient. (Question 5)
- Use divisibility rules to determine if a number is divisible by another and to find factor pairs of a given number. (Question 10 )
- Can identify numbers as prime or composite and find the prime factorization of a number. (Questions 7,13)
After completing practice on objectives 1-8, using the Topic 4 Dividing by 1-Digit Divisors Free-Response Exam to show students can:
- Find the quotient of a division problem whose dividend is a multiple of 10, where division involves a basic fact. (Questions 1-4,15,16 )
- Use rounding to estimate quotients of whole numbers. (Questions 5-12 )
- Can divide three-digit whole numbers by one-digit divisors. (Questions 17,19-25, 32-34)
- Can divide with zeros in the quotient. (Questions 13,14,18)
- Can identify numbers as prime or composite and find the prime factorization of a number. (Questions 26-31)
15. After completing practice on objectives 9-13, using the Topic 5 Dividing by 2-Digit Divisors Multiple Choice Exam to show students can:
- Find the quotients of division problems whose dividends and divisors are multiples of 10, where the division involves a basic fact. ( Questions 5,13)
- Use estimation to find approximate solutions to quotients with two-digit divisors using compatible numbers. ( Questions 2,10)
- Find quotients with a two-digit divisor that is a multiple of ten. ( Question, 4,7)
- Find one-digit quotients where the divisor is a two-digit number. ( Questions 9, 12)
- Divide a three-digit number by a two-digit number to find a two-digit quotient.( Question 14)
After completing practice on objectives 9-13, using the Topic 5 Dividing by 2-Digit Divisors Free-Response Exam to show students can:
- Find the quotients of division problems whose dividends and divisors are multiples of 10, where the division involves a basic fact. ( Questions 1-4)
- Use estimation to find approximate solutions to quotients with two-digit divisors using compatible numbers. ( Questions 5-8 )
- Find quotients with a two-digit divisor that is a multiple of ten. ( Questions13-16 )
- Find one-digit quotients where the divisor is a two-digit number. ( Questions 9,11,12 )
- Divide a three-digit number by a two-digit number to find a two-digit quotient.( Question 10 )
Level of Expectation
80%
List of concepts and Evaluation Types
Concept | Evaluation Type |
Divide a three-digit number by a two-digit number | CR |
Divide a three-digit number by a two-digit number | SR |
Find one-digit quotients where the divisor is a tw | CR |
Find one-digit quotients where the divisor is a tw | SR |
Find quotients with a two-digit divisor that is a | CR |
Find quotients with a two-digit divisor that is a | SR |
Use estimation to find approximate solutions to qu | CR |
Use estimation to find approximate solutions to qu | SR |
Find the quotients of division problems whose divi | CR |
Find the quotients of division problems whose divi | SR |
identify numbers as prime or composite and find th | CR |
identify numbers as prime or composite and find th | SR |
use divisibility rules to determine if a number is | SR |
divide with zeros in the quotient. | CR |
divide with zeros in the quotient. | SR |
divide three-digit whole numbers by one-digit divi | CR |
divide three-digit whole numbers by one-digit divi | SR |
find quotients using the model of sharing money. | SR |
check problems for reasonableness by using various | SR |
use rounding to estimate quotients of whole number | CR |
use rounding to estimate quotients of whole number | SR |
Find the quotient of a division problem whose divi | CR |
find the quotient of a division problem whose divi | SR |
Learning Activity
During whole group instruction, students will:
- Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions to find the quotient of a division problem whose dividend is a multiple of 10, where division involves a basic fact.
- Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions on rounding to estimate quotients of whole numbers.
- Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions to check problems for reasonableness by using various methods, including estimation and checking their final answer.
- Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions to find quotients using the model of sharing money.
- Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions on dividing three-digit whole numbers by one-digit divisors.
- Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions to divide with zeros in the quotient.
- Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions using divisibility rules to determine if a number is divisible by another and to find factor pairs of a given number.
- Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions to identify numbers as prime or composite and find the prime factorization of a number.
- Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions to find the quotients of division problems whose dividends and divisors are multiples of 10, where the division involves a basic fact.
- Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions to use estimation to find approximate solutions to quotients with two-digit divisors using compatible numbers.
- Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions to find quotients with a two-digit divisor that is a multiple of ten.
- Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions to find one-digit quotients where the divisor is a two-digit number.
- Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions to divide a three-digit number by a two-digit number to find a two-digit quotient.
During independent work time, students will complete the:
- 4-1 Dividing Multiples of 10 and 100 Quick Check and Practice worksheet.
- 4-2 Estimating Quotients Quick Check and Practice worksheet.
- 4-3 Problem Solving Reasonableness Quick Check and Practice worksheet.
- 4-4 Connecting Models and Symbols Quick Check and Practice worksheet
- 4-5 Dividing by 1 Digit Divisors Quick Check and Practice worksheet.
- 4-6 Zeros in the Quotient Quick Check and Practice worksheet
- 4-7 Understanding Factors Quick Check and Practice worksheet
- 4-8 Prime and Composite Numbers Quick Check and Practice worksheet. Students will use their laptop computers to play a game on determining prime and composite numbers at the following website: http://www.helpingwithmath.com/resources/games/prime/prime01.html
- 5-1 Using Patterns to Divide Quick Check and Practice worksheets.
- 5-2 Estimating Quotients with 2-digit Divisors Quick Check and Practice worksheets.
- 5-4 Dividing by Multiples of 10 Quick Check and Practice worksheets.
- 5-5 1-Digit Quotients Quick Check and Practice worksheets.
- 5-6 2-Digit Quotients Quick Check and Practice worksheets.
At the end of each unit, the students will use their computers to play a review game over that topic by going to the Mind Point Quiz Bowl icon on their computer.
Instructional Method
During whole group instruction, the teacher will:
- Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed on finding the quotient of a division problem whose dividend is a multiple of 10, where division involves a basic fact..
- Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed on rounding to estimate quotients of whole numbers.
- Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed to check problems for reasonableness by using various methods, including estimation and checking their final answer.
- Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed to find quotients using the model of sharing money.
- Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed on dividing three-digit whole numbers by one-digit divisors
- Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed to divide with zeros in the quotient.
- Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed on divisibility rules to determine if a number is divisible by another and to find factor pairs of a given number.
- Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed on identify numbers as prime or composite and find the prime factorization of a number. Instruct students to go to the following website, http://www.mathplayground.com/katiebegin.html , giving technological help as needed.
- Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed to find the quotients of division problems whose dividends and divisors are multiples of 10, where the division involves a basic fact.
- Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed to use estimation to find approximate solutions to quotients with two-digit divisors using compatible numbers.
- Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed to find quotients with a two-digit divisor that is a multiple of ten.
- Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed to find one-digit quotients where the divisor is a two-digit number.
- Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed to divide a three-digit number by a two-digit number to find a two-digit quotient.
Content Standards
MA 1, MA 5
Process Standards
1.4, 3.2
Resources
Scott Foresman EnVision Math Series Materials
www.pearsonsuccessnet.com
SMART Board
Student laptop computers with Internet connection
Student slates with dry erase markers
Correction Exercise
Scott Foresman EnVision Math Topic 3 Reteaching Materials
Enrichment Exercise
Scott Foresman EnVision Math Enrichment Materials
Center Activities and/or manipulatives
GLEs v2.0 and CLEs
GLE Code | Discipline | Strand | Big Idea | Concept | Grade Level/Course | GLE |
MA/N/1/C/5/a. | Mathematics | Numbers and Operations | Understand numbers, ways of representing numbers, relationships among numbers and number systems | Compose and decompose numbers | 5th Grade | recognize equivalent representations for the same number and generate them by decomposing and composing numbers |
MA/N/1/D/5/a. | Mathematics | Numbers and Operations | Understand numbers, ways of representing numbers, relationships among numbers and number systems | Classify and describe numeric relationships | 5th Grade | describe numbers according to their characteristics, including whole number common factors and multiples, prime or composite, and square numbers |
MA/N/2/A/5/a. | Mathematics | Numbers and Operations | Understand meanings of operations and hwo they relate to one another | Represent operations | 5th Grade | represent and recognize division usint various models, including quotative and partitive |
MA/N/3/A/5/a. | Mathematics | Numbers and Operations | Compute fluently and make reasonable estimates | Describe or represent mental strategies | 5th Grade | describe a mental strategy used to compute a given division problem, where the quotient is a multiple of 10 and the divisor is a 1-digit number (e.g., 350/7) |
MA/N/3/B/5/a. | Mathematics | Numbers and Operations | Compute fluently and make reasonable estimates | Develop and demonstrate fluency | 5th Grade | demonstrate fluency with efficient procedures for adding and suctracting decimals and fractions (with unlike denominators) and division of whole numbers |
MA/N/3/D/5/a. | Mathematics | Numbers and Operations | Compute fluently and make reasonable estimates | Estimate and justify solutions | 5th Grade | estimate and justify products and quotients of whole numbers and sums of differences of decimals and fractions |
MA/N/3/C/5/a. | Mathematics | Numbers and Operations | Compute fluently and make reasonable estimates | Compute problems | 5th Grade | apply and describe the strategy used to compute a division problem up to a 3-digit by 2-digit and addition and subtraction of fractions and decimals |