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Multidigit Arithmetic +/-

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Our Multidigit Arithmetic +/- lesson teaches students how to add or subtract large numbers step-by-step. Students complete practice problems 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 each of your students use a random number generator to get a number and then use those numbers to practice adding or subtracting.

Description

What our Multidigit Arithmetic +/- lesson plan includes

Lesson Objectives and Overview: Multidigit Arithmetic +/- provides students with a step-by-step strategy for adding or subtracting large numbers. Students should already be familiar with place value, as it is stressed repeatedly throughout the lesson. At the end of the lesson, students will be able to fluently add and subtract multi-digit numbers. 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.

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 adjustment to the lesson activity is to have your students use dice or create spinners for generating their numbers. For an additional activity, you could have each of your students use a random number generator to get a number and then use those numbers to practice adding or subtracting.

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 +/- LESSON PLAN CONTENT PAGES

Adding Multi-digits

The Multidigit Arithmetic +/- lesson plan includes two content pages. It’s important to understand how to add large numbers together. But what’s the easiest way to do so?

The lesson begins with an example: 10,528 + 2,654. First, line the numbers up vertically according to their place value. You line the ones up with the ones, the tens with the tens, and so on. A simple way to make sure you’ve lined them up correctly is to make sure the commas line up.

Next, add common place values together, moving from right to left. For this problem, you first add the ones: 8 + 4 = 12. Place the 2 in the sum and write a 1 over the tens column to show regrouping. Next, add the tens column, including the 1 from the regrouping: 1 + 2 + 5 = 8. Place the 8 in the sum. Repeat this process for each place value. The final sum is 13,182.

Finally, ask yourself if your answer makes sense. When adding, your final answer should be larger than both of the addends. You can also estimate to check your answer.

Subtracting Multi-digits

It’s also important to learn how to subtract large numbers. Like addition, there are a few simple steps you can follow to subtract multidigit numbers.

The lesson walks through an example: 5,498 – 937. Like with addition, the first step is to line the numbers up vertically according to their place value. Make sure the ones are lined up with the ones, the tens with the tens, and so on.

Next, subtract common place values moving right to left. For this problem, you first subtract 8 – 7 = 1. Place the 1 in the difference and move on to the next place value, repeating for until you get to the last place value. Make sure to borrow from the next place value where needed. The final difference is 4,561.

Finally, ask yourself if your answer makes sense. When subtracting, your final answer should be smaller than the largest subtrahend. You can also estimate to check your answer.

MULTIDIGIT ARITHMETIC +/- LESSON PLAN WORKSHEETS

The Multidigit Arithmetic +/- 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.

DRAWING NUMBERS ACTIVITY WORKSHEET

For the activity worksheet, students will draw two numbers from the bag and either add or subtract them, writing down each problem on the worksheet.

ADDITION AND SUBTRACTION PRACTICE WORKSHEET

The practice worksheet asks students to solve five multidigit addition problems and five multidigit subtraction problems.

REAL-WORLD PROBLEMS HOMEWORK ASSIGNMENT

For the homework assignment, students will create or find four real world problems from a magazine, the internet, or a newspaper with digits over 100 and solve them. Two must be addition and two must be subtraction.

QUIZ

This lesson also includes a quiz that you can use to test students’ understanding of the lesson material. For the quiz, students will solve a multidigit addition problem and a multidigit subtraction problem.

Worksheet Answer Keys

This lesson plan includes answer keys for the practice worksheet and the quiz. If you choose to administer the lesson pages to your students via PDF, you will need to save a new file that omits these pages. Otherwise, you can simply print out the applicable pages and keep these as reference for yourself when grading assignments.

Additional information

grade-level

3rd Grade, 4th Grade

subject

Math

State Educational Standards

LB.Math.Content.3.NBT.A.2, LB.Math.Content.4.NBT.B.4

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