# 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
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 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  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: 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))
5020120: STEM Lab Grade 5 (Specifically in versions: 2016 - 2022 (current), 2022 and beyond)
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.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

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

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. Students will need to convert units to have the necessary information to help come up with a solution to the problem.

Type: Lesson Plan

Pounds to Ounces: 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 how animal adaptations and habitats are related when extraterrestrials from an Earth-like 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 help students understand the importance of the metric system and see the connection between place value and metric system charts. The students will use a 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

Wallpaper Woes Money Math: Lessons for Life:

Students hear a story about a middle-school student who wants to redecorate his bedroom. They measure the classroom wall dimensions, draw a scale model, and incorporate measurements for windows and doors to determine the area that could be covered by wallpaper. Students then hear more about the student's redecorating adventure and learn about expenses, budget constraints, and tradeoffs.

Type: Lesson Plan

## Original Student Tutorials

A Day at the Park: Time:

Learn how to convert time from seconds to minutes, minutes to hours, and hours to days. In this interactive tutorial, you will also practice converting time to fractional amounts.

Type: Original Student Tutorial

Healthy Distance: Social Distancing Measurement Conversions:

Learn why it's sometimes important to use social distancing to reduce the spread of germs and how to estimate and convert this customary distance with this interactive tutorial.

Type: Original Student Tutorial

Measuring to Build a Ramp:

Learn how to convert among different-sized customary units of weight, length, capacity, and units of time at the skate park in the this interactive tutorial.

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

Minutes and Days:

This task requires division of multi-digit numbers in the context of changing units. 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.

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.

## Teaching Idea

Ball Bounce Experiment:

Students investigate different balls' abilities to bounce and represent the data they collect graphically.

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 length 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

## Video/Audio/Animation

Soybean growth rate response to touch:

A time-lapse video showing differential growth rates for touch-treated seedlings and control seedlings. This would be appropriate for lessons about plant growth responses to environmental stress and graphing growth rate. Plants were grown in a vermiculite soilless medium with calcium-enhanced water. No other minerals or nutrients were used. Plants were grown in a dark room with specially-filtered green light. The plants did not grow by cellular reproduction but only by expansion of existing cells in the hypocotyl region below the 'hook'.
Video contains three plants in total. The first two plants to emerge from the vermiculite medium are the control (right) and treatment (left) plants. A third plant emerges in front of these two but is removed at the time of treatment and is not relevant except to help indicate when treatment was applied (watch for when it disappears). When that plant disappears, the slowed growth rate of the treatment plant is apparent.
Treatment included a gentle flexing of the hypocotyl region of the treatment seedling for approximately 5 seconds. A rubber glove was used at this time to avoid an contamination of the plant tissue.
Some video players allow users to 'scrub' the playback back and forth. This would help teachers or students isolate particular times (as indicated by the watch) and particular measurements (as indicated by the cm scale). A graph could be constructed by first creating a data table and then plotting the data points from the table. Multiple measurements from the video could be taken to create an accurate graph of the plants' growth rates (treatment vs control).
Instructions for graphing usage:
The scale in the video is in centimeters (one cm increments). Students could observe the initial time on the watch in the video and use that observation to represent time (t) = 0. For that value, a mark could be made to indicate the height of the seedlings. As they advance and pause the video repeatedly, the students would mark the time (+2.5 hours for example) and mark the related seedling heights. It is not necessary to advance the video at any regular interval but is necessary to mark the time and related heights as accurately as possible. Students may use different time values and would thus have different data sets but should find that their graphs are very similar. (Good opportunity to collect data from real research and create their own data sets) It is advised that the students collect multiple data points around the time where the seedling growth slows in response to touch to more accurately collect information around that growth rate slowing event. The resulting graph should have an initial growth rate slope, a flatter slope after stress treatment, and a return to approximately the same slope as seen pre-treatment. More data points should yield a more thorough view of this. This would be a good point to discuss. Students can use some of their data points to calculate approximate pre-treatment, immediate post-treatment, and late post-treatment slopes for both the control and treatment seedlings.
This video was created by the submitter and is original content.
Full screen playback should be an option for most video players. Video quality may appear degraded with a larger image but this may aid viewing the watch and scale for data collection.

Type: Video/Audio/Animation

## 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 how animal adaptations and habitats are related when extraterrestrials from an Earth-like 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.

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. Students will need to convert units to have the necessary information to help come up with a solution to the problem.

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: 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

A Day at the Park: Time:

Learn how to convert time from seconds to minutes, minutes to hours, and hours to days. In this interactive tutorial, you will also practice converting time to fractional amounts.

Healthy Distance: Social Distancing Measurement Conversions:

Learn why it's sometimes important to use social distancing to reduce the spread of germs and how to estimate and convert this customary distance with this interactive tutorial.

Measuring to Build a Ramp:

Learn how to convert among different-sized customary units of weight, length, capacity, and units of time at the skate park in the this interactive tutorial.

## Student Resources

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

## Original Student Tutorials

A Day at the Park: Time:

Learn how to convert time from seconds to minutes, minutes to hours, and hours to days. In this interactive tutorial, you will also practice converting time to fractional amounts.

Type: Original Student Tutorial

Healthy Distance: Social Distancing Measurement Conversions:

Learn why it's sometimes important to use social distancing to reduce the spread of germs and how to estimate and convert this customary distance with this interactive tutorial.

Type: Original Student Tutorial

Measuring to Build a Ramp:

Learn how to convert among different-sized customary units of weight, length, capacity, and units of time at the skate park in the this interactive tutorial.

Type: Original Student Tutorial

Minutes and Days:

This task requires division of multi-digit numbers in the context of changing units. 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.

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.

## 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 length 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.