MAFS.5.MD.1.1

Convert among different-sized standard measurement units (i.e., km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec) within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.
General Information
Subject Area: Mathematics
Grade: 5
Domain-Subdomain: Measurement and Data
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Convert like measurement units within a given measurement system. (Supporting 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
Date of Last Rating: 02/14
Status: State Board Approved
Assessed: Yes
Test Item Specifications

  • Assessment Limits :
    Measurement values may be whole, decimal, or fractional values. Conversions must be within the same system.
  • Calculator :

    No

  • Context :

    Allowable

Sample Test Items (2)
  • Test Item #: Sample Item 1
  • Question: Michael is measuring fabric for the costumes of a school play. He needs 11.5 meters of fabric. He has 28.5 centimeters of fabric. How many more centimeters of fabric does he need?
  • Difficulty: N/A
  • Type: EE: Equation Editor

  • Test Item #: Sample Item 2
  • Question:

    Michael is measuring fabric for the costumes of a school play. He needs 47 feet of fabric. He has begin mathsize 12px style 12 1 third end style yards of fabric.

    How many more yards of fabric does he need?

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

Related Courses

This benchmark is part of these courses.
5012070: Mathematics - Grade Five (Specifically in versions: 2014 - 2015, 2015 and beyond (current))
7712060: Access Mathematics Grade 5 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 and beyond (current))
5020120: STEM Lab Grade 5 (Specifically in versions: 2016 and beyond (current))
5012065: Accelerated Mathematics Plan Grade 4 (Specifically in versions: 2019 and beyond (current))

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.
MAFS.5.MD.1.AP.1a: Convert standard measurements of time to solve real-world problems.
MAFS.5.MD.1.AP.1b: Convert standard measurements of length to solve real-world problems.
MAFS.5.MD.1.AP.1c: Convert standard measurements of mass to solve real-world problems.

Related Resources

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

Assessments

Sample 2 - Fifth Grade Math State Interim Assessment:

This is a State Interim Assessment for fifth grade.

Type: Assessment

Sample 1 - Fifth Grade Math State Interim Assessment:

This is a State Interim Assessment for fifth grade.

Type: Assessment

Formative Assessments

Converting Metric Measurement Units :

Students are asked to make metric measurement conversions involving length and mass.

Type: Formative Assessment

Converting Customary Measurement Units :

Students are asked to make customary measurement conversions involving weight and time.

Type: Formative Assessment

Party Planning:

Students are asked to solve two multi-step word problems that require converting units.

Type: Formative Assessment

Candy and Ribbon:

Students are asked to solve multi-step word problems that require converting units.

Type: Formative Assessment

Lesson Plans

Mechanical Hands:

In this STEM design challenge, students will build a working hand model to examine the function of the skeletal and muscular systems.

Type: Lesson Plan

Marbelous Pool Noodle Ramps:

In this lesson, students will build a ramp out of a pool noodle and use it to launch a marble across the room. Students will investigate by adjusting the height and slope of the ramp and record their findings on a data sheet. Students will practice collecting and analyzing data and will investigate the importance of performing repeated experimental trials. Students will practice converting metric units of distance as well as the addition and division of decimals to find the mean of a small data set.

Type: Lesson Plan

Natural Builders - STEM Engineering Design Challenge:

In this lesson, students will investigate and explain balanced and unbalanced forces as they design a building for Miami Beach that is inspired by Florida's natural environment. In this challenge/lesson, students must design a building model that is at least thirty centimeters tall, features two elements that move in the wind, and can also withstand the wind.

Type: Lesson Plan

Shot-Put Conversion Activity (Day 2 of 2):

This is Lesson 2 of a two-part unit. Resource 73257: Shot-Put Conversion Activity Day 1 of 1 is the first lesson. Students will have fun learning to convert units within the metric system. Students are engaged and will complete hands-on activities to learn how the metric system is based on powers of ten. In this lesson, students will compete against one another by seeing who can throw the shot-put the farthest and convert the distance measured into different metric units.

Type: Lesson Plan

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

Metric Length Madness:

This lesson will help students to convert metric units of length, such as kilometers, meters, centimeters, and millimeters.

Type: Lesson Plan

Shot-Put Conversion Activity (Day 1 of 2):

Students will have fun learning how to convert units within the metric system.  Students are engaged and will complete hands-on activity to learn how the metric system is based on powers of ten.  There are two lessons in this unit.  In the 2nd lesson (Resource 73766), students will compete against one another by seeing who can throw the shot-put the farthest and convert this distance into different metric units.   

 

Type: Lesson Plan

Handle with Care: Spacecraft Handles :

Students are asked to evaluate and design a procedure for ranking door handle designs for a spacecraft. They will consider several factors associated with functionality and the elements involved in the design of a spacecraft.

Type: Lesson Plan

Mars Exploration Administration:

Students will be given the opportunity to design a conductivity tester for astronauts to use on Mars. Students will then get to use a 3D printed tester to check common items for potential conductivity and then to redesign their tester.

Type: Lesson Plan

Workouts That Work:

Students will create a rating system for workout DVD's according to weight loss, muscle toning, and increased physical condition.

Type: Lesson Plan

Free Flight in Return for your Ranking!:

This lesson asks students to rank four promotional deals that a travel agency is running. Before they make their decision, the students have to convert the duration of the trip to the same unit so that they can analyze the data.

Type: Lesson Plan

Museum Dilemma:

In this MEA, students evaluate the contributions of various explorers to help a museum select the subject who provided the most impact on Western development for a new exhibit.

Type: Lesson Plan

Pounds to Ounces: Is There Profit? MEA:

The client, Twi N. Key Bakery, wants your students to help them determine which product to sell in your school. Along the way your students will have to convert pounds to ounces as well as survey their peers.

Type: Lesson Plan

Interplanetary Zoo:

Students will explore animal adaptations and habitats when aliens from an Earthlike planet send the Earth a gift of animals from their planet and the animals must be placed in a zoo. Students will use the characteristics of the animals to figure out the habitat the animals are best adapted to.

Type: Lesson Plan

X-treme Roller Coasters:

This MEA asks students to assist Ms. Joy Ride who is creating a virtual TV series about extreme roller coasters. They work together to determine which roller coaster is most extreme and should be featured in the first episode. Students are presented with research of five extreme roller coasters and they must use their math skills to convert units of measurements while learning about force and motion.

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

All-Star Track Runners:

Students will help a track coach determine which shoe is the best to purchase for his team. Students will be required to convert measurements initially and then rank the shoes from best to worst based on the data provided.

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

Storage for Storage:

In this MEA, 5th Grade students will work in teams to determine a procedure for ranking Storage Sheds for a construction company that is moving to a new facility to purchase. Students will need to calculate the square feet and cubic feet of space for the Storage Shed, make decisions based on a table of data, and write a letter to the client providing evidence for their decisions.

Type: Lesson Plan

Conversion Excursion:

This lesson will equip students with the understanding of why the metric system is important and see the connections between place value and metric system charts. The students will use metric system chart to convert between metric units to solve real-world problems.

Type: Lesson Plan

Shoe Closet MEA:

In this open-ended problem, students will work in teams to determine a procedure for ranking shoe closets for a company to purchase. Students will need to calculate the cubic feet of space for the closet, make decisions based on a table of data, and write a letter to the client providing evidence for their decisions.

Type: Lesson Plan

Original Student Tutorial

Measuring to Build a Ramp:

By the end of this tutorial you’ll know how to convert among different-sized customary units of weight, length, capacity, and units of time.

Type: Original Student Tutorial

Perspectives Video: Teaching Idea

Bicycle Mathematics: Speed and Distance Calculations:

Cycling involves a lot of real-time math when you use an on-board computer. Learn about lesson ideas and how computers help with understanding performance.

Type: Perspectives Video: Teaching Idea

Problem-Solving Tasks

Minutes and Days:

This task requires division of multi-digit numbers in the context of changing units and so illustrates 5.NBT.6 and 5.MD.1. In addition, the conversion problem requires two steps since 2011 minutes needs to be converted first to hours and minutes and then to days, hours, and minutes.

Type: Problem-Solving Task

Converting Fractions of a Unit into a Smaller Unit:

The purpose of this task is to help students gain a better understanding of fractions and the conversion of fractions into smaller units.

Type: Problem-Solving Task

Teaching Idea

Calculating Sharks-SeaWorld Classroom Activity:

  • Given data about sharks and the amount of food they eat, students will be able to solve for the unknown in percentage problems.
  • Given information about a shark's growth, students will be able to graph coordinates and interpret a linear graph.
  • Given the conversion factor, students will be able to convert from metric to English units.

Type: Teaching Idea

Tutorials

Metric System: Units of Volume:

This Khan Academy tutorial video illustrates the conversion equivalence of liters, milliliters, and kiloliters.

Type: Tutorial

Unit Measurement Word Problem: Distance (US Customary):

This Khan Academy tutorial video develops a visual diagram to use to solve a distance problem that requires converting feet to yards and other computations.

Type: Tutorial

Unit Conversion: Ordering Metric Distances Example:

This Khan Academy tutorial video demonstrates a strategy for ordering four different-sized metric units.

Type: Tutorial

Converting Speed Units:

In this lesson, students will be viewing a Khan Academy video that will show how to convert ratios using speed units.

Type: Tutorial

STEM Lessons - Model Eliciting Activity

All-Star Track Runners:

Students will help a track coach determine which shoe is the best to purchase for his team. Students will be required to convert measurements initially and then rank the shoes from best to worst based on the data provided.

Free Flight in Return for your Ranking!:

This lesson asks students to rank four promotional deals that a travel agency is running. Before they make their decision, the students have to convert the duration of the trip to the same unit so that they can analyze the data.

Handle with Care: Spacecraft Handles :

Students are asked to evaluate and design a procedure for ranking door handle designs for a spacecraft. They will consider several factors associated with functionality and the elements involved in the design of a spacecraft.

Interplanetary Zoo:

Students will explore animal adaptations and habitats when aliens from an Earthlike planet send the Earth a gift of animals from their planet and the animals must be placed in a zoo. Students will use the characteristics of the animals to figure out the habitat the animals are best adapted to.

Mars Exploration Administration:

Students will be given the opportunity to design a conductivity tester for astronauts to use on Mars. Students will then get to use a 3D printed tester to check common items for potential conductivity and then to redesign their tester.

Museum Dilemma:

In this MEA, students evaluate the contributions of various explorers to help a museum select the subject who provided the most impact on Western development for a new exhibit.

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.

Pounds to Ounces: Is There Profit? MEA:

The client, Twi N. Key Bakery, wants your students to help them determine which product to sell in your school. Along the way your students will have to convert pounds to ounces as well as survey their peers.

Shoe Closet MEA:

In this open-ended problem, students will work in teams to determine a procedure for ranking shoe closets for a company to purchase. Students will need to calculate the cubic feet of space for the closet, make decisions based on a table of data, and write a letter to the client providing evidence for their decisions.

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.

Storage for Storage:

In this MEA, 5th Grade students will work in teams to determine a procedure for ranking Storage Sheds for a construction company that is moving to a new facility to purchase. Students will need to calculate the square feet and cubic feet of space for the Storage Shed, make decisions based on a table of data, and write a letter to the client providing evidence for their decisions.

Workouts That Work:

Students will create a rating system for workout DVD's according to weight loss, muscle toning, and increased physical condition.

X-treme Roller Coasters:

This MEA asks students to assist Ms. Joy Ride who is creating a virtual TV series about extreme roller coasters. They work together to determine which roller coaster is most extreme and should be featured in the first episode. Students are presented with research of five extreme roller coasters and they must use their math skills to convert units of measurements while learning about force and motion.

MFAS Formative Assessments

Candy and Ribbon:

Students are asked to solve multi-step word problems that require converting units.

Converting Customary Measurement Units :

Students are asked to make customary measurement conversions involving weight and time.

Converting Metric Measurement Units :

Students are asked to make metric measurement conversions involving length and mass.

Party Planning:

Students are asked to solve two multi-step word problems that require converting units.

Original Student Tutorials Mathematics - Grades K-5

Measuring to Build a Ramp:

By the end of this tutorial you’ll know how to convert among different-sized customary units of weight, length, capacity, and units of time.

Student Resources

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

Original Student Tutorial

Measuring to Build a Ramp:

By the end of this tutorial you’ll know how to convert among different-sized customary units of weight, length, capacity, and units of time.

Type: Original Student Tutorial

Problem-Solving Tasks

Minutes and Days:

This task requires division of multi-digit numbers in the context of changing units and so illustrates 5.NBT.6 and 5.MD.1. In addition, the conversion problem requires two steps since 2011 minutes needs to be converted first to hours and minutes and then to days, hours, and minutes.

Type: Problem-Solving Task

Converting Fractions of a Unit into a Smaller Unit:

The purpose of this task is to help students gain a better understanding of fractions and the conversion of fractions into smaller units.

Type: Problem-Solving Task

Tutorials

Metric System: Units of Volume:

This Khan Academy tutorial video illustrates the conversion equivalence of liters, milliliters, and kiloliters.

Type: Tutorial

Unit Measurement Word Problem: Distance (US Customary):

This Khan Academy tutorial video develops a visual diagram to use to solve a distance problem that requires converting feet to yards and other computations.

Type: Tutorial

Unit Conversion: Ordering Metric Distances Example:

This Khan Academy tutorial video demonstrates a strategy for ordering four different-sized metric units.

Type: Tutorial

Converting Speed Units:

In this lesson, students will be viewing a Khan Academy video that will show how to convert ratios using speed units.

Type: Tutorial

Parent Resources

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

Problem-Solving Tasks

Minutes and Days:

This task requires division of multi-digit numbers in the context of changing units and so illustrates 5.NBT.6 and 5.MD.1. In addition, the conversion problem requires two steps since 2011 minutes needs to be converted first to hours and minutes and then to days, hours, and minutes.

Type: Problem-Solving Task

Converting Fractions of a Unit into a Smaller Unit:

The purpose of this task is to help students gain a better understanding of fractions and the conversion of fractions into smaller units.

Type: Problem-Solving Task