Teacher Notes Students understanding the concept of division is foremost because the algorithm just has steps to follow in division. Developing mental strategies and using models to divide first is very important. Only after establishing the conceptual understanding will the algorithm make sense.

The biggest stumbling block for students is the student not having multiplication and division facts memorized. Studies show if the student doesn’t know the fact, the steps of long division are lost. Letting a student use a multiplication is a must if your goal is for them to learn the algorithm. Student Knowledge Goals
I know division can be creating groups with the same quantity in each group.
I know division can be putting objects or numbers into an unknown number of groups.
I know division can be derived through repeated subtraction.
I know multiplication and division have an inverse relationship.
I can use models, such as rectangular arrays and area models, to show division concepts and solve division operations.
I know multiplication and division algorithms.
I know what the remainder means in a division problem.
I know how to check if my answer is reasonable.
I can use the properties of operations to solve division problems.
I can illustrate and explain which strategy/or model was used to find the quotient.

Vocabulary dividend
divisor
product
properties of operations
remainder
quotient Lessons

MGSE4.NBT.6

Teacher NotesStudents understanding the concept of division is foremost because the algorithm just has steps to follow in division. Developing mental strategies and using models to divide first is very important. Only after establishing the conceptual understanding will the algorithm make sense.

The biggest stumbling block for students is the student not having multiplication and division facts memorized. Studies show if the student doesn’t know the fact, the steps of long division are lost. Letting a student use a multiplication is a must if your goal is for them to learn the algorithm.

Student Knowledge GoalsI know division can be creating groups with the same quantity in each group.

I know division can be putting objects or numbers into an unknown number of groups.

I know division can be derived through repeated subtraction.

I know multiplication and division have an inverse relationship.

I can use models, such as rectangular arrays and area models, to show division concepts and solve division operations.

I know multiplication and division algorithms.

I know what the remainder means in a division problem.

I know how to check if my answer is reasonable.

I can use the properties of operations to solve division problems.

I can illustrate and explain which strategy/or model was used to find the quotient.

Vocabularydividend

divisor

product

properties of operations

remainder

quotient

Lessons__Engage NY Module 3 E-14__ – Solve division word problems with remainders.

__Engage NY Module 3 E-15__ – Understand and solve division problems with a remainder using the array and area models.

__Engage NY Module 3 E-16__ – Understand and solve two-digit dividend division problems with a remainder in the ones place by using number disks.

__Engage NY Module 3 E-17__ – Represent and solve division problems requiring decomposing a remainder in the tens.

__Engage NY Module 3 E-18__ – Find whole number quotients and remainders.

__Engage NY Module 3 E-19__ – Explain remainders by using place value understanding and models.

__Engage NY Module 3 E-20__ – Solve division problems without remainders using the area model.

__Engage NY Module 3 E-21__ – Solve division problems with remainders using the area model.

Student Video Lessons__Learn Zillion__ – Whole number quotients & remainders with up to four-digit dividends

__Study Jams__ – Divisibility

__Study Jams__ – Long Division

__Virtual Nerd__ – 4.NBT.B.6 Division

Online Problems, Games, and Assessments__Khan Academy__ – Questions and Video Lessons

Properties of divisionDivide 2-digit numbers by 1-digit numbersDivide 2-digit numbers by 1-digit numbers: word problemsDivide 2-digit numbers by 1-digit numbers: complete the tableDivide larger numbers by 1-digit numbersDivide larger numbers by 1-digit numbers: complete the tableDivide numbers ending in zeroes by 1-digit numbersPrintables__Division__ – Single Digit

__4.NBT.B.6__ – 53 pages of PDF worksheets

__Soft Schools__ – Long Division