MAFS.5.NBT.2.5

Fluently multiply multi-digit whole numbers using the standard algorithm.

Clarifications

Fluency Expectations or Examples of Culminating Standards

5.NBT.2.5 Students fluently multiply multi-digit whole numbers using the standard algorithm.
General Information
Subject Area: Mathematics
Grade: 5
Domain-Subdomain: Number and Operations in Base Ten
Cluster: Level 1: Recall
Cluster: Perform operations with multi-digit whole numbers and with decimals to hundredths. (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 :
    Multiplication may not exceed five digits by two digits
  • Calculator :

    No

  • Context :

    Allowable

Sample Test Items (2)

Related Courses

This benchmark is part of these courses.
5012070: Grade Five Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
7712060: Access Mathematics Grade 5 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 and beyond (current))
5012065: Grade 4 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.5.NBT.2.AP.5a: Fluently multiply two-digit numbers.

Related Resources

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

Assessments

Sample 4 - Fifth Grade Math State Interim Assessment:

This is a State Interim Assessment for fifth grade.

Type: Assessment

Sample 2 - Fifth Grade Math State Interim Assessment:

This is a State Interim Assessment for fifth 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

Formative Assessments

Complete The Multiplication Problem:

Students are asked to finish a multiplication problem that has already been started using the standard algorithm.

Type: Formative Assessment

Find the Multiplication Error:

Students are asked to find the error in a multiplication problem involving a three-digit and a two-digit number.

Type: Formative Assessment

Multiplying Using the Standard Algorithm:

Students are asked to complete two multiplication problems using the standard algorithm.

Type: Formative Assessment

More Multiplication Using the Standard Algorithm:

Students are asked to complete two multiplication problems using the standard algorithm.

Type: Formative Assessment

Lesson Plans

Where on Earth is (teacher name)?!:

Students practice converting metric and customary measurements, while helping their teacher travel on summer vacation in Europe.

Type: Lesson Plan

Area Models to Algorithms:

Students will investigate the standard algorithm of two-digit by two-digit multiplication and how it connects and relates to the area model. This will provide an introduction to the standard algorithm.

Type: Lesson Plan

Multi-digit Multiplication Using Array Frames:

This is an introductory lesson and is limited to multiplication of two by one numbers. It is intended for the students not yet grasping multiplication. The students will work with base ten blocks to model their multiplication.

Type: Lesson Plan

Not that Hot Anymore:

The students will rank companies offering canopies to a school for their Physical Education field.

Type: Lesson Plan

Getting the Top Mini-Fridge not a "Small" Deal.:

In this MEA, students will create a procedure to rank five mini-refrigerators to determine which one is the best at freezing water (making ice), keeping food and drinks at a safe temperature, having the best design, and price.

Type: Lesson Plan

Evan's Family Vacation:

Evan needs your help convincing his parents to rent a car for their family's vacation to Washington D.C. His parents are thinking of traveling in the families old SUV that has no air and horrible gas mileage. Students will be asked to estimate each rental car's gas costs along with the weekly rental fee to rank the choices. In the twist, the students will be given safety information and must decide how to change their procedure with the new information.

Type: Lesson Plan

Buy Buy Toy Store is Relocating:

This is a Model Eliciting Activity in which students are asked to assist a toy company in ranking several cities for them to consider where they will open their next store. They also read data and apply multiplication skills.

Type: Lesson Plan

Beach on a Budget:

Topic Overview:This 5th grade MEA asks students to work in teams to determine from which store they will buy beach equipment for a new beach rental business, after considering several criteria. After the students have created a proposal based on given data, a twist is added which may vary their results.

Type: Lesson Plan

Pioneer Places:

In this MEA, students decide which type of pioneer housing was the best to build if you were traveling west.

Type: Lesson Plan

Which Sweets for the Bakery?:

This MEA gives students the opportunity to use real world data to rank proposed product lines from most likely to be profitable to least likely to be profitable. There are two sequential tasks; the second task adds a component of complexity to the original task. Students will apply multiplication and division skills in problem solving, write a procedure with grade-appropriate organization and conventions, and participate in group collaboration to complete this task.

Type: Lesson Plan

Chance Product:

Are you trying to deepen your students understanding of 2-digit by 2-digit multiplication? Then this is the game for you. This game allows students to demonstrate their abilities in multiplication and reasoning. Students will place numbers drawn onto a recording sheet in order to create the largest product possible.

Type: Lesson Plan

Tablets for Mrs. Tomlinson's Class:

Students' love of technology will hook them on this MEA that also applies their knowledge of multiplication, estimation, and rounding. And that's just the beginning!

Type: Lesson Plan

Are You Ready for a Hurricane?:

This activity allows students to determine the types of items that should be in a hurricane survival kit, use a budget and calculations to determine the items to include in the kit and gain an understanding of hurricanes and the need to prepare for them.

Type: Lesson Plan

Balls Galore: Evaluating Playground Ball Companies:

This MEA gives the students the opportunity to evaluate and rank several playground ball companies based on their use in a summer camp program. Students should use multiplication to determine the total cost of the balls for each company.

Type: Lesson Plan

Stand Up and Cheer:

This MEA asks the students to compare items to be given to fans attending a college homecoming football game.

Students will use multi-digit multiplication and measurement conversion while comparing data on the items. They will also take into account fan reviews of the items which should create interesting student discussions.

Type: Lesson Plan

More Bang for your Buck!:

In this open-ended MEA, students will work in teams to determine a procedure for ranking recycling companies. Students will need to calculate their return on recycling, make decisions based on a table of data, and write a letter to the client providing evidence for their decisions.

Type: Lesson Plan

Cameras on Campus:

This MEA uses technology and real world problem solving to hook the students.

Type: Lesson Plan

Getting Dry:

This MEA asks the students to compare hand drying products based on: initial cost, replacement cost and absorbency. Students will provide the "top choice" to the principal of the school and explain how they arrived at the solution. In the twist, students will be asked to consider the environmental impact of the products and reevaluate their conclusions.

Type: Lesson Plan

New Frozen Yogurt Store:

This MEA asks students to decide which factors are important in developing a successful frozen yogurt (froyo) store in order to compete with and become the best store in the area. Students will provide feedback to an entrepreneur who is looking to open a frozen yogurt store. They will rank order their choices of the most successful to least successful store. Students will provide a detailed written explanation for how they decided to rank factors and their solution rating existing stores from best to worst.

Type: Lesson Plan

Scuba Diving Mask Search:

This MEA asks the students to decide which company would be the “best and the worst” to use to purchase scuba diving masks for Tino’s Scuba Diving School to provide to their diving certification students. Furthermore, the students are asked to suggest which type of scuba diving masks should be purchased in term of multiple panes – single pane mask, double pane mask, full face mask, skirt color, fit, durability, and price. Students must provide a "top choice" scuba diving mask to the company owner and explain how they arrived at their solution.

Type: Lesson Plan

Sunshine Beach Hotel MEA:

This Model Eliciting Activity (MEA) asks students to develop a procedure to select a hurricane shutter company.

Type: Lesson Plan

Original Student Tutorial

Let’s Get Buzzy: Multiplying Multi-digit Numbers Using the Standard Algorithm:

Learn how the standard algorithm for multiplying numbers works and practice your skills in this interactive tutorial.

Type: Original Student Tutorial

STEM Lessons - Model Eliciting Activity

Are You Ready for a Hurricane?:

This activity allows students to determine the types of items that should be in a hurricane survival kit, use a budget and calculations to determine the items to include in the kit and gain an understanding of hurricanes and the need to prepare for them.

Balls Galore: Evaluating Playground Ball Companies:

This MEA gives the students the opportunity to evaluate and rank several playground ball companies based on their use in a summer camp program. Students should use multiplication to determine the total cost of the balls for each company.

Beach on a Budget:

Topic Overview:This 5th grade MEA asks students to work in teams to determine from which store they will buy beach equipment for a new beach rental business, after considering several criteria. After the students have created a proposal based on given data, a twist is added which may vary their results.

Buy Buy Toy Store is Relocating:

This is a Model Eliciting Activity in which students are asked to assist a toy company in ranking several cities for them to consider where they will open their next store. They also read data and apply multiplication skills.

Cameras on Campus:

This MEA uses technology and real world problem solving to hook the students.

Evan's Family Vacation:

Evan needs your help convincing his parents to rent a car for their family's vacation to Washington D.C. His parents are thinking of traveling in the families old SUV that has no air and horrible gas mileage. Students will be asked to estimate each rental car's gas costs along with the weekly rental fee to rank the choices. In the twist, the students will be given safety information and must decide how to change their procedure with the new information.

Getting Dry:

This MEA asks the students to compare hand drying products based on: initial cost, replacement cost and absorbency. Students will provide the "top choice" to the principal of the school and explain how they arrived at the solution. In the twist, students will be asked to consider the environmental impact of the products and reevaluate their conclusions.

Getting the Top Mini-Fridge not a "Small" Deal.:

In this MEA, students will create a procedure to rank five mini-refrigerators to determine which one is the best at freezing water (making ice), keeping food and drinks at a safe temperature, having the best design, and price.

More Bang for your Buck!:

In this open-ended MEA, students will work in teams to determine a procedure for ranking recycling companies. Students will need to calculate their return on recycling, make decisions based on a table of data, and write a letter to the client providing evidence for their decisions.

New Frozen Yogurt Store:

This MEA asks students to decide which factors are important in developing a successful frozen yogurt (froyo) store in order to compete with and become the best store in the area. Students will provide feedback to an entrepreneur who is looking to open a frozen yogurt store. They will rank order their choices of the most successful to least successful store. Students will provide a detailed written explanation for how they decided to rank factors and their solution rating existing stores from best to worst.

Not that Hot Anymore:

The students will rank companies offering canopies to a school for their Physical Education field.

Pioneer Places:

In this MEA, students decide which type of pioneer housing was the best to build if you were traveling west.

Scuba Diving Mask Search:

This MEA asks the students to decide which company would be the “best and the worst” to use to purchase scuba diving masks for Tino’s Scuba Diving School to provide to their diving certification students. Furthermore, the students are asked to suggest which type of scuba diving masks should be purchased in term of multiple panes – single pane mask, double pane mask, full face mask, skirt color, fit, durability, and price. Students must provide a "top choice" scuba diving mask to the company owner and explain how they arrived at their solution.

Stand Up and Cheer:

This MEA asks the students to compare items to be given to fans attending a college homecoming football game.

Students will use multi-digit multiplication and measurement conversion while comparing data on the items. They will also take into account fan reviews of the items which should create interesting student discussions.

Sunshine Beach Hotel MEA:

This Model Eliciting Activity (MEA) asks students to develop a procedure to select a hurricane shutter company.

Tablets for Mrs. Tomlinson's Class:

Students' love of technology will hook them on this MEA that also applies their knowledge of multiplication, estimation, and rounding. And that's just the beginning!

Which Sweets for the Bakery?:

This MEA gives students the opportunity to use real world data to rank proposed product lines from most likely to be profitable to least likely to be profitable. There are two sequential tasks; the second task adds a component of complexity to the original task. Students will apply multiplication and division skills in problem solving, write a procedure with grade-appropriate organization and conventions, and participate in group collaboration to complete this task.

MFAS Formative Assessments

Complete The Multiplication Problem:

Students are asked to finish a multiplication problem that has already been started using the standard algorithm.

Find the Multiplication Error:

Students are asked to find the error in a multiplication problem involving a three-digit and a two-digit number.

More Multiplication Using the Standard Algorithm:

Students are asked to complete two multiplication problems using the standard algorithm.

Multiplying Using the Standard Algorithm:

Students are asked to complete two multiplication problems using the standard algorithm.

Original Student Tutorials Mathematics - Grades K-5

Let’s Get Buzzy: Multiplying Multi-digit Numbers Using the Standard Algorithm:

Learn how the standard algorithm for multiplying numbers works and practice your skills in this interactive tutorial.

Student Resources

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

Original Student Tutorial

Let’s Get Buzzy: Multiplying Multi-digit Numbers Using the Standard Algorithm:

Learn how the standard algorithm for multiplying numbers works and practice your skills 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

Parent Resources

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