Module 4: Multiplying and Dividing Multi-Digit Numbers - Course Guide

Module Overview:

In this module students will learn about multiplying different digit numbers by one-digit numbers, multiplying by numbers with more than 1 digit, and solving problems with multiplication. Students will learn about dividing by one-digit numbers and dividing by numbers with two digits. Students will learn how to use partial quotients to solve long division problems, how to use partial quotients for powers other than 10, and how to use traditional long division and how it can be applied to problems.

Module Materials:

  • Pencils
  • Crayons or colored pencils
  • Notebook
  • Scissors
  • Glue
  • Highlighter
  • Markers
  • Blank paper

Module Objectives:

Lesson # Lesson Title Objective(s)
1 One-Digit Number Multiplication
  1. Multiply multi-digit whole numbers by one-digit whole numbers with efficiency and flexibility.
2 Multi-Digit Number Multiplication
  1. Multiply two-digit whole numbers by two-digit whole numbers with efficiency and flexibility.
  2. Multiply multi-digit whole numbers with efficiency and flexibility.
3 Word Problem Multiplication
  1. Apply multiplication skills to real-world problems.
4 One-Digit Number Division
  1. Divide dividends with up to four digits by a single-digit divisor.
5 Two-Digit Number Division
  1. Divide dividends with up to four digits by two-digit divisors.
6 Partial Quotients
  1. Use partial quotients to solve long-division problems.
  2. Divide dividends with up to four digits by two-digit divisors.
7 Partial Quotients with Remainders
  1. Apply knowledge of partial quotients to problems with remainders.
  2. Solve division problems with dividends with up to four digits and two-digit divisors.
8 More on Partial Quotients
  1. Use partial quotients to solve long-division problems.
  2. Divide dividends with up to four digits by two-digit divisors.
9 Partial Quotients vs. Long Division
  1. Divide dividends with up to four digits by two-digit divisors.
  2. Apply division strategies to problem solving.

Module Key Words:

Key Words
multiplication
product
multi-digit
word problem
dividend
divisor
quotient
remainder
partial quotient

Module Assignments:

Lesson # Lesson Title Page # Assignment Title
2 Multi-Digit Number Multiplication 6 Assignment
5 Two-Digit Number Division 6 Assignment
7 Partial Quotients with Remainders 7 Assignment
9 Partial Quotients vs. Long Division 6 Assignment

Learning Coach Notes:

Lesson # Lesson Title Notes
1 One-Digit Number Multiplication In their Math notebook, please have your student describe partial product multiplication and the standard algorithm for multiplication.
2 Multi-Digit Number Multiplication In their Math notebook, have your student write down the steps used to multiply multi-digit numbers.
3 Word Problem Multiplication In their Math notebook, have your student describe ways they can solve word problems using multiplication.
4 One-Digit Number Division In their Math notebook, have your student write a division problem and label the dividend, the divisor, and the quotient. Next, have them describe what a remainder is. Finally, have them write the steps for dividing by one-digit divisors and how you can check a division problem.
5 Two-Digit Number Division In their Math notebook, have your student record the steps to dividing by two-digit divisors.
6 Partial Quotients In their Math notebook, have your student describe how to use partial quotients to solve division problems.
7 Partial Quotients with Remainders
8 More on Partial Quotients In their Math notebook, have your student explain what they learned from this lesson.
9 Partial Quotients vs. Long Division In their Math notebook, have your student write the steps for solving division problems using long division.

Module Guiding Questions:

When a student starts a lesson ask them questions to check for prior knowledge and understanding and to review concepts being taught. At the end of the lesson ask the questions again to see if their answer changes.

Lesson Title Question
One-Digit Number Multiplication
  1. How do you multiply one-digit numbers by multi-digit numbers?
Multi-Digit Number Multiplication
  1. How do you solve multiplication problems when both factors have multiple digits?
Word Problem Multiplication
  1. What are some strategies for solving word problems?
One-Digit Number Division
  1. How is division related to subtraction?
  2. How do you divide a multi-digit number by a one-digit divisor?
Two-Digit Number Division
  1. How do you divide by a two-digit number?
Partial Quotients
  1. How do you divide using partial quotients?
Partial Quotients with Remainders
  1. How can you apply partial quotients to problems with remainders?
More on Partial Quotients
  1. Do partial quotients always have to be powers of 10?
Partial Quotients vs. Long Division
  1. How do you solve a division problem using long division?

Module Video Questions:

When a student watches a video take time to ask them questions about what they watched. Suggested questions for the videos in this module are listed here. Suggestion: Have the student watch the entire video first all the way through. Then have them watch the video a second time, as they watch it pause the video and ask the questions.

Lesson Title Video Question
One-Digit Number Multiplication One-Digit Number Multiplication
  1. What is the partial product method?
  2. What is the standard algorithm for multiplication?
Multi-Digit Number Multiplication Multi-Digit Number Multiplication
  1. How do you solve multiplication problems when both factors have multiple digits?
Word Problem Multiplication Word Problem Multiplication
  1. What are steps you can follow to help you solve word problems?
One-Digit Number Division One-Digit Number Division
  1. What are the three parts of a division statement?
  2. What is the dividend?
  3. What is the divisor?
  4. What is the quotient?
  5. What is a remainder?
Two-Digit Number Division Two-Digit Number Division
  1. What are the steps involved in Two-Digit Number Division?
Partial Quotients Partial Quotients
  1. How do you divide using partial quotients?
Partial Quotients with Remainders Partial Quotients with Remainders
  1. How can you apply partial quotients to problems with remainders?
More on Partial Quotients More on Partial Quotients
  1. Do partial quotients always have to be powers of 10?
Partial Quotients vs. Long Division Partial Quotients vs. Long Division
  1. What is the main difference between the partial quotients method and the traditional long division method when it comes to the operations most used?

Module Suggested Read Aloud Books:

Take time to read to your student or have them read aloud to you. Read a different book each day. While reading the book point out concepts being taught. You may purchase these books or find them at your local library. Suggested things to discuss while reading the book:

  • What is the main idea?
  • What are three things new you learned?
  • How does this book relate to what you are learning about?

# Book Author Lexile Level

Module Outing:

Take some time to apply what your student is learning to the real world. Suggested outings are below.

# Outing