# Multidigit Arithmetic – Multiplication

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Our Multidigit Arithmetic – Multiplication lesson plan teaches students a number of strategies for solving multiplication problems with multidigit numbers. Students complete practice problems in order to solidify their understanding of the lesson material.

Included with this lesson are some adjustments or additions that you can make if you’d like, found in the “Options for Lesson” section of the Classroom Procedure page. One of the optional additions to this lesson is to have students use BINGO mats to find numbers to multiply.

# What our Multidigit Arithmetic – Multiplication lesson plan includes

Lesson Objectives and Overview: Multidigit Arithmetic – Multiplication presents several strategies for solving multiplication problems with multidigit numbers. The strategies included are the box method, the area method, and the standard method. Examples are provided with each method to enhance understanding. At the end of the lesson, students will be able to multiply multi-digit numbers using place value and properties of operations. This lesson is for students in 3rd grade and 4th grade.

### Classroom Procedure

Every lesson plan provides you with a classroom procedure page that outlines a step-by-step guide to follow. You do not have to follow the guide exactly. The guide helps you organize the lesson and details when to hand out worksheets. It also lists information in the blue box that you might find useful. You will find the lesson objectives, state standards, and number of class sessions the lesson should take to complete in this area. In addition, it describes the supplies you will need as well as what and how you need to prepare beforehand. To prepare for this lesson ahead of time, you can copy the materials and gather coins or counters.

#### Options for Lesson

Included with this lesson is an “Options for Lesson” section that lists a number of suggestions for activities to add to the lesson or substitutions for the ones already in the lesson. One optional addition to this lesson is to have students use BINGO mats to find numbers to multiply. Students can also find numbers by rolling dice in pairs. Another optional addition to this lesson is to have students complete a multiplication relay in your classroom. Finally, you can have students jump as far as they can and then multiply the numbers together, repeating with each person in the group.

### Teacher Notes

The teacher notes page includes lines that you can use to add your own notes as you’re preparing for this lesson.

## MULTIDIGIT ARITHMETIC – MULTIPLICATION LESSON PLAN CONTENT PAGES

### Multi-digit Multiplication

The Multidigit Arithmetic – Multiplication lesson plan includes three pages of content. The lesson begins by explaining that it’s very important to learn how to multiply with two, three, and four digits. We have several different methods that we use to solve multiplication problems with multiple digits.

#### Area Model

The first method is using area models. This method uses place value to multiply multi-digit numbers. The lesson includes two examples of this method. To use this method, you first expand the number based on place value, then multiply each section, and finally add the results together.

#### Box Method

The second method is the box method. To use this method, you first multiply each of the numbers in the box, putting the tens in the upper left and the ones in the bottom right. Next, you add each of the numbers in between the lines to find the solution. The lesson uses the same two example problems as were shown for the area model to illustrate how to solve problems using this method.

#### Standard Method

The third and final method is the standard method. To use this method, you use an algorithm that we’ve been using for many years! The first step of this method is to write the number with the most digits on top of the other number, lining up the last digits. Next, you multiply each digit in the top number by the bottom number, carrying as needed. After that, you put in your place holder zero, then multiply the top number by the bottom number’s tens place. Finally, you add the rows to find the final product. The lesson demonstrates this method with a practice problem.

## MULTIDIGIT ARITHMETIC – MULTIPLICATION LESSON PLAN WORKSHEETS

The Multidigit Arithmetic – Multiplication lesson plan includes four worksheets: an activity worksheet, a practice worksheet, a homework assignment, and a quiz. You can refer to the guide on the classroom procedure page to determine when to hand out each worksheet.

### CHIPS ACTIVITY WORKSHEET

Students will work with a partner to complete the activity worksheet. First, they will write two-digit numbers on the provided mat. Next, they will drop their chip onto the mat to find their first number. They will drop their chip onto their partner’s mat to find the second number. Finally, they will multiply the numbers together to find the product.

### THREE METHODS PRACTICE WORKSHEET

For the practice worksheet, students will solve multiplication problems using each of the three methods described in this lesson: the area model method, the box method, and the standard method.

### MULTIDIGIT ARITHMETIC – MULITPLICATION HOMEWORK ASSIGNMENT

The homework assignment asks students to solve multiplication problems using any strategy.

### QUIZ

This lesson includes a quiz that you can use to test students’ understanding of the lesson material. For this quiz, students will use all three methods to solve the same problem.