MAFS.4.NBT.2.4

Fluently add and subtract multi-digit whole numbers using the standard algorithm.

Clarifications

Fluency Expectations or Examples of Culminating Standards

Students’ work with decimals (4.NF.3.5–3.7) depends to some extent on concepts of fraction
General Information
Subject Area: Mathematics
Grade: 4
Domain-Subdomain: Number and Operations in Base Ten
Cluster: Level 1: Recall
Cluster: Use place value understanding and properties of operations to perform multi-digit arithmetic. (Major Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date Adopted or Revised: 02/14
Content Complexity Rating: Level 1: Recall - More Information
Date of Last Rating: 02/14
Status: State Board Approved
Assessed: Yes
Test Item Specifications

  • Assessment Limits :
    Items may only contain whole number factors and solutions greater than 1,000 and within 1,000,000. Addition expressions may contain up to three addends
  • Calculator :

    No

  • Context :

    No context

Sample Test Items (4)


  • Test Item #: Sample Item 3
  • Question: Enter the missing digit to complete the subtraction statement.

    4  0  9, 8 4 5

          - 1 []  6,  6 7 5

    2  1 3,  1 7 0

  • Difficulty: N/A
  • Type: EE: Equation Editor

  • Test Item #: Sample Item 4
  • Question:

    An addition statement is shown.

    2 6, [] 5 4

    1 8, 8 8 9

         + 1 2, 3 5 1

    5 8, 0 0 4

    What is the missing digit that makes the addition statement true?

     

  • Difficulty: N/A
  • Type: MC: Multiple Choice

Related Courses

This benchmark is part of these courses.
5012060: Mathematics - Grade Four (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
7712050: Access Mathematics Grade 4 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 and beyond (current))
5012055: Grade 3 Accelerated Mathematics (Specifically in versions: 2019 - 2022 (current), 2022 and beyond)
5012015: Foundational Skills in Mathematics 3-5 (Specifically in versions: 2019 - 2022 (current), 2022 and beyond)

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.
MAFS.4.NBT.2.AP.4a: Solve multi-digit addition and subtraction problems within 1,000.

Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

Assessments

Sample 4 - Fourth Grade Math State Interim Assessment:

This is a State Interim Assessment for fourth grade.

Type: Assessment

Sample 3 - Fourth Grade Math State Interim Assessment:

This is a State Interim Assessment for fourth grade.

Type: Assessment

Educational Games

Estimator Four:

In this activity, students play a game of connect four, but to place a piece on the board they have to correctly estimate an addition, multiplication, or percentage problem. Students can adjust the difficulty of the problems as well as how close the estimate has to be to the actual result. This activity allows students to practice estimating addition, multiplication, and percentages of large numbers (100s). This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.

Type: Educational Game

Estimator Quiz:

In this activity, students are quizzed on their ability to estimate sums, products, and percentages. The student can adjust the difficulty of the problems and how close they have to be to the actual answer. This activity allows students to practice estimating addition, multiplication, or percentages of large numbers. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.

Type: Educational Game

Educational Software / Tool

Arithmetic Quiz:

In this activity, students solve arithmetic problems involving whole numbers, integers, addition, subtraction, multiplication, and division. This activity allows students to track their progress in learning how to perform arithmetic on whole numbers and integers. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.

Type: Educational Software / Tool

Formative Assessments

Subtracting Using the Standard Algorithm:

Students are asked to solve two subtraction problems using the standard algorithm.

Type: Formative Assessment

Find the Error:

Students are asked to find the error in a partially completed subtraction problem using the standard algorithm and to solve the problem correctly.

Type: Formative Assessment

Addition Using the Standard Algorithm:

Students are asked to solve two addition problems using the standard algorithm.

Type: Formative Assessment

Fill In The Missing Number:

Students are asked to complete subtraction problems using the standard algorithm.

Type: Formative Assessment

Lesson Plans

The Playground Project:

Students will enjoy designing their "dream" playground while applying math and science skills in this engineering design challenge lesson. Students will find the area and perimeter of their playground designs. They will also use a budget sheet to make decisions about what to include in their playground, considering the physical properties of the materials they "purchase."

Type: Lesson Plan

"Life's a Breeze!":

In this Engineering Design Challenge, students must design a vessel that will carry passengers safely and quickly across a body of water by harnessing the power of the wind. Students will be given the opportunity to test and improve their vessels as they apply various math and science skills.

Type: Lesson Plan

Heating Up the Neighborhood:

This Engineering Design Challenge is intended to help students apply the concepts of heat insulators as they build a model house and test different materials to use as insulators, stopping the warm air from escaping and keeping the cool air out. Students will also have an opportunity to use technology in their exploration of heat energy.

Type: Lesson Plan

Sound Vibrations Using the Engineering Design Process:

This lesson uses the engineering design process to guide students through the exploration of sound energy and pitch. The design challenge is to produce a low-pitch tone by using different containers and liquids. Students must also create a budget to purchase supplies.

Type: Lesson Plan

Replaced Pitcher:

The students will use mathematical skills and problem solving skills to recommend which current starting pitcher will be replaced once one of the pitchers is back on the active roster for the Miami Marlins. They will write a letter on the computer and print it out to respond to the assistant coach's letter.

Type: Lesson Plan

Florida Tours Company, Inc.:

In this MEA, students decide what are the most important historic sites to visit in Florida. They also have to decide between the importance of the historic sites and the revenue the state will earn from these tourists.

Type: Lesson Plan

Adventure Falls Bus Purchase:

The school district needs to purchase new buses to transport students. Students will be asked to rank the bus choices based on the data provided. The data provided is: price, year, new/used, and capacity (how many students the buses hold). In the twist, students will be given safety information and must decide how to change their procedure with the new information.

Type: Lesson Plan

Let's Make a Movie:

Students will add and subtract multi-digit whole numbers (through the millions) to compare and contrast movie genres.

Type: Lesson Plan

Tennis Lessons:

This MEA asks students to take on the job of a tennis pro and decide which factors are most important in choosing a facility to take tennis lessons. Students will perform math calculations, create a two-column table for hours and minutes, develop a procedure to rank facilities, and provide written feedback through letters to a parent whose child needs group tennis lessons and writes letters to ask for advice. They will rank their choices from "best to worst" tennis lesson facilities. Students will provide a detailed written explanation for how they decided to rank factors and their solution for rating tennis lesson facilities.

Type: Lesson Plan

Florida Hurricanes:

The governor of Florida needs your students' help in distributing funds among Florida cities. Students will be asked to share a sum of money for hurricane preparedness systems among Florida cities. Students will be given a data set to help them develop a procedure for doing so. In their teams, they will write a letter to the governor of Florida giving their procedures and explanation of the strategy they used. Students will practice adding and subtracting numbers to the millions by filling out the population part of the data set. Rubrics are included to help grade students on their writing.

Type: Lesson Plan

Subtraction Attraction:

In this lesson, students will demonstrate fluency in using a standard algorithm to complete story problems involving subtraction with regrouping using multi-digit whole numbers.

Type: Lesson Plan

Original Student Tutorial

Adding It All Up with a Standard Algorithm:

Learn to add multi-digit numbers using a standard algorithm in this interactive tutorial.

Type: Original Student Tutorial

Problem-Solving Task

To regroup or not to regroup:

This task presents an incomplete problem and asks students to choose numbers to subtract (subtrahends) so that the resulting problem requires different types of regrouping. This way students have to recognize the pattern and not just follow a memorized algorithm--in other words, they have to think about what happens in the subtraction process when we regroup. This task is appropriate to use after students have learned the standard US algorithm.

Type: Problem-Solving Task

Tutorials

Subtracting: regrouping twice:

In this video tutorial from Khan Academy, learn how to subtract in situations that require regrouping twice using the expanded forms of numbers, as well as the standard algorithm.

Type: Tutorial

Mental technique for subtraction without regrouping:

In this Khan Academy video tutorial, consider an alternate algorithm for subtracting multi-digit numbers mentally. This video is best for students that are already comfortable with using regrouping to subtract using the standard algorithm.

Type: Tutorial

Subtraction by Regrouping:

This 8-minute video demonstrates how to perform subtraction with regrouping. The presenter uses base-10 blocks to explain the rationale and to make a visual connection with the standard algorithm. The examples involve 2-digit and 3-digit numbers.

Type: Tutorial

STEM Lessons - Model Eliciting Activity

Adventure Falls Bus Purchase:

The school district needs to purchase new buses to transport students. Students will be asked to rank the bus choices based on the data provided. The data provided is: price, year, new/used, and capacity (how many students the buses hold). In the twist, students will be given safety information and must decide how to change their procedure with the new information.

Florida Hurricanes:

The governor of Florida needs your students' help in distributing funds among Florida cities. Students will be asked to share a sum of money for hurricane preparedness systems among Florida cities. Students will be given a data set to help them develop a procedure for doing so. In their teams, they will write a letter to the governor of Florida giving their procedures and explanation of the strategy they used. Students will practice adding and subtracting numbers to the millions by filling out the population part of the data set. Rubrics are included to help grade students on their writing.

Florida Tours Company, Inc.:

In this MEA, students decide what are the most important historic sites to visit in Florida. They also have to decide between the importance of the historic sites and the revenue the state will earn from these tourists.

Let's Make a Movie:

Students will add and subtract multi-digit whole numbers (through the millions) to compare and contrast movie genres.

Replaced Pitcher:

The students will use mathematical skills and problem solving skills to recommend which current starting pitcher will be replaced once one of the pitchers is back on the active roster for the Miami Marlins. They will write a letter on the computer and print it out to respond to the assistant coach's letter.

Tennis Lessons:

This MEA asks students to take on the job of a tennis pro and decide which factors are most important in choosing a facility to take tennis lessons. Students will perform math calculations, create a two-column table for hours and minutes, develop a procedure to rank facilities, and provide written feedback through letters to a parent whose child needs group tennis lessons and writes letters to ask for advice. They will rank their choices from "best to worst" tennis lesson facilities. Students will provide a detailed written explanation for how they decided to rank factors and their solution for rating tennis lesson facilities.

MFAS Formative Assessments

Addition Using the Standard Algorithm:

Students are asked to solve two addition problems using the standard algorithm.

Fill In The Missing Number:

Students are asked to complete subtraction problems using the standard algorithm.

Find the Error:

Students are asked to find the error in a partially completed subtraction problem using the standard algorithm and to solve the problem correctly.

Subtracting Using the Standard Algorithm:

Students are asked to solve two subtraction problems using the standard algorithm.

Original Student Tutorials Mathematics - Grades K-5

Adding It All Up with a Standard Algorithm:

Learn to add multi-digit numbers using a standard algorithm in this interactive tutorial.

Student Resources

Vetted resources students can use to learn the concepts and skills in this benchmark.

Original Student Tutorial

Adding It All Up with a Standard Algorithm:

Learn to add multi-digit numbers using a standard algorithm in this interactive tutorial.

Type: Original Student Tutorial

Educational Games

Estimator Four:

In this activity, students play a game of connect four, but to place a piece on the board they have to correctly estimate an addition, multiplication, or percentage problem. Students can adjust the difficulty of the problems as well as how close the estimate has to be to the actual result. This activity allows students to practice estimating addition, multiplication, and percentages of large numbers (100s). This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.

Type: Educational Game

Estimator Quiz:

In this activity, students are quizzed on their ability to estimate sums, products, and percentages. The student can adjust the difficulty of the problems and how close they have to be to the actual answer. This activity allows students to practice estimating addition, multiplication, or percentages of large numbers. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.

Type: Educational Game

Educational Software / Tool

Arithmetic Quiz:

In this activity, students solve arithmetic problems involving whole numbers, integers, addition, subtraction, multiplication, and division. This activity allows students to track their progress in learning how to perform arithmetic on whole numbers and integers. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.

Type: Educational Software / Tool

Problem-Solving Task

To regroup or not to regroup:

This task presents an incomplete problem and asks students to choose numbers to subtract (subtrahends) so that the resulting problem requires different types of regrouping. This way students have to recognize the pattern and not just follow a memorized algorithm--in other words, they have to think about what happens in the subtraction process when we regroup. This task is appropriate to use after students have learned the standard US algorithm.

Type: Problem-Solving Task

Tutorials

Subtracting: regrouping twice:

In this video tutorial from Khan Academy, learn how to subtract in situations that require regrouping twice using the expanded forms of numbers, as well as the standard algorithm.

Type: Tutorial

Mental technique for subtraction without regrouping:

In this Khan Academy video tutorial, consider an alternate algorithm for subtracting multi-digit numbers mentally. This video is best for students that are already comfortable with using regrouping to subtract using the standard algorithm.

Type: Tutorial

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.

Problem-Solving Task

To regroup or not to regroup:

This task presents an incomplete problem and asks students to choose numbers to subtract (subtrahends) so that the resulting problem requires different types of regrouping. This way students have to recognize the pattern and not just follow a memorized algorithm--in other words, they have to think about what happens in the subtraction process when we regroup. This task is appropriate to use after students have learned the standard US algorithm.

Type: Problem-Solving Task

Tutorials

Subtracting: regrouping twice:

In this video tutorial from Khan Academy, learn how to subtract in situations that require regrouping twice using the expanded forms of numbers, as well as the standard algorithm.

Type: Tutorial

Mental technique for subtraction without regrouping:

In this Khan Academy video tutorial, consider an alternate algorithm for subtracting multi-digit numbers mentally. This video is best for students that are already comfortable with using regrouping to subtract using the standard algorithm.

Type: Tutorial