Standard #: MAFS.4.MD.1.2 (Archived Standard)


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Use the four operations to solve word problems1 involving distances, intervals of time, and money, including problems involving simple fractions or decimals2. Represent fractional quantities of distance and intervals of time using linear models. (1See glossary Table 1 and Table 2) (2Computational fluency with fractions and decimals is not the goal for students at this grade level.)


General Information

Subject Area: Mathematics
Grade: 4
Domain-Subdomain: Measurement and Data
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit. (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 - Archived
Assessed: Yes

Test Item Specifications

    N/A

    Assessment Limits :
    Measurement conversions are from larger units to smaller units. Calculations are limited to simple fractions or decimals. Operations may include addition, subtraction, multiplication, and division. Item contexts are not limited to distances, intervals of time, and money.
    Calculator :

    No

    Context :

    Required



Sample Test Items (2)

Test Item # Question Difficulty Type
Sample Item 1

Gretchen is baking pies. She needs begin mathsize 12px style 1 fourth end style cup of butter for each pie. One stick of butter is begin mathsize 12px style 1 half end style cup.

How many sticks of butter does Gretchen need to make 4 pies?


N/A EE: Equation Editor
Sample Item 2

Jing participates in a trivia contest. He completes each question each question in begin mathsize 12px style 1 half end style minute.

How long does it take for Jing to complete 10 questions?

 

N/A MC: Multiple Choice


Related Courses

Course Number1111 Course Title222
5012060: Mathematics - Grade Four (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7712050: Access Mathematics Grade 4 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
5020110: STEM Lab Grade 4 (Specifically in versions: 2016 - 2022, 2022 and beyond (current))
5012065: Grade 4 Accelerated Mathematics (Specifically in versions: 2019 - 2022, 2022 and beyond (current))
5012015: Foundational Skills in Mathematics 3-5 (Specifically in versions: 2019 - 2022, 2022 and beyond (current))


Related Resources

Formative Assessments

Name Description
Remote Control Motorcycle

Students are asked to solve a multi-step word problem involving money and unit conversions.

Kesha and Juan

Students are asked to solve a multi-step word problem that requires converting metric length units.

Shopping List

Students are asked to convert units of measure given with fractions and decimals using linear models.

Piano Lessons

Students are asked to use a number line to answer elapsed time questions.

Image/Photograph

Name Description
Clipart ETC: Clock Menu This website has over 2,000 illustrations of analog clocks. There are clocks with a variety of numeral fonts, and plain faces showing all possible times in one-minute increments. There are also an assortment of antique clocks, pocket watches, pendulums, hour glasses, and the interior devices of time pieces.

Lesson Plans

Name Description
Dune or Doom: The Effects of Wind Erosion on Sand Dunes

In this lesson, students will address the following real-world problem of sand dune erosion while integrating Engineering Design concepts:

Florida’s coastline has been ravaged by winds from hurricanes, resulting in damage to sand dunes and oceanfront properties. Your mission is to design the most effective barrier that would limit the amount of sand displaced from our tall sand dunes and prevent further damage to oceanfront buildings. Your designs can help us save the sand dunes before they are blown away!

Building up Beaches

In this STEM build, students will use problem solving skills and teamwork to model an effective way of slowing down beach erosion caused by the ocean. Students also will practice sharing their results through PowerPoint presentations.

Friction: Friend or Foe?

In this lesson, students will learn how different variables (mass, friction, and force) affect the motion of an object.

Washed Away

In this Engineering Design Challenge lesson, students will create a model beach and use different materials to find a solution to slow down the erosion process.

"Amazing Race-Elapsed Time"

In this lesson, which focuses specifically on the elapsed time portion of the standard, students work in small groups in a "race" to solve real world problems involving time.

Slither Not in the Everglades! Python MEA

This MEA will ask students to work in teams to help their client, The Florida Fish and Wildlife Conservation Commission, to decide which Burmese python traps manufacturing company to buy traps from. The traps will be placed along the Florida Keys and the Everglades to help prevent the growth of invasive Burmese Python population. The students will implement their knowledge of how plants, animals, and humans impact the environment, use mathematical and analytical problem-solving strategies, and be able report their finding in an organized, descriptive manner.

Traveling to the Moon MEA

This MEA is designed to help students create a process for selecting a Space Shuttle to send to the moon given the particular criteria provided. Students will master the Science Standard SC.4.E.5.2: Describe the changes in the observable shape of the moon over the course of about a month . Students will also practice and reinforce the Math Standard MAFS.4.MD.1.2: Use the four operations to solve word problems involving distances, intervals of time, and money, including problems involving simple fractions or decimals. Represent fractional quantities of distance and intervals of time using linear models. Students will also practice ELA Standard LAFS.4.W.2.4: Produce clear and coherent writing in which the development and organization are appropriate to task, purpose, and audience.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Supermarket Sweep!

In this lesson, students will use a grocery store ad to select items for purchase, working within the constraint of making their purchases with a $50 gift card. After their initial plan, they have some emergency expenses that change the amount of the gift card unexpectedly, and they must alter their list and re-compute how much money would remain on their gift card after their planned purchases are made.


Lizard Lights

Students will use a real-world problem solving situation to determine the best types of light bulbs to maintain an appropriate environment for a captive lizard. 

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Money Managers!

The main problem that the students are going to solve in this MEA is how to determine the appropriate allowance for a family of five children. This activity will allow the students to take on the role of financial planners as they examine a budget that has been earmarked by "The Davidson Family." The client has a particular amount of money to spare for their five children, however are unable to determine how much money each child should receive. The factors that students will need to consider at first will be the age of the children, the chores completed, and extracurricular activities the children engage in after school. The students might need to reconsider their thinking processes in order to take into account behavior comments and concerns that are also included.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Which Bank is Consumer Friendly?

This MEA is a student's exploration of banking. In the first task, they will create a model that will rank banks from most consumer friendly to least consumer friendly. In the second task, they will need to modify their models to address additional banks and additional criteria. Students can then test their models while researching real banks and determining their level of consumer friendliness.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Transportation Choices

In this MEA, students will determine which mode of transportation is best for a traveling sports team. They will have to decide between cost, time to travel, and comfort of travel. In the "twist," students are provided with more information including customer service rating of transportation as well as additional choices. Additionally, students will need to calculate the cost of the team's travel if they want the team to have a chance to win a drawing.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

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.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Wondrous Water Parks

This activity requires students to apply their knowledge of unit conversions, speed calculation, and comparing fractions to solve the problem of which water park their class should choose to go on for their 5th grade class trip.

Pickle Pick

This Model Eliciting Activity (MEA) asks students to develop a procedure to select a pickle brand for a sandwich shop. Students will need to consider appearance, texture, price, flavor, length of shelf life, and estimating shipping costs. In the second portion of the problem statement, the students will need to trade off what they have previously considered and give more worth to the estimated shipping costs, while adding three more brands for consideration. The students will complete a culminating activity of making a commercial to advertise their selected brand. Student will need to work together and use the standard conventions of writing to write and perform their commercial for the other groups.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Plant Package

The Model Eliciting Activity (MEA) is written at a 4th grade level. The Plant Package provides students with an engineering problem in which they are asked to rank different plant packaging designs using recycled materials.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Cookies and Treats

Fourth graders will help Cookies and Treats find cost-effective and eco-friendly packaging for its cookies. Students will organize data and compare prices using decimal notation in order to develop a procedure for choosing packaging for cookies.  Students will use multiplication and division of whole numbers to plan for how many packages to order.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Banana County Public School-Painters MEA

This Model Eliciting Activity (MEA) is written at a 4th grade level.

This activity allows students to think critically using information provided. Students will write a procedure on how they determined which painting company would be suitable for the client.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Lotsa Lotion Lab's Sunscreens

Lotsa Lotion Labs requests the help of your team to rank a group of sunscreens, explain the process and justify how you chose which is 'best.'  An additional hands-on lesson investigating solar energy and sunscreens is included as an extension activity.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

On the Hunt for Measurements: Estimation, Area and Perimeter of Rectangles

Students look for rectangular objects in the classroom or on the school campus that match the measurements for given clues. Students will estimate the measurements of the object, then take the exact measurements and use this information to determine its area and perimeter.

Problem-Solving Tasks

Name Description
Money in the piggy bank

This task is designed to help students focus on the whole that a fraction refers. It provides a context where there are two natural ways to view the coins.  While the intent is to deepen a student's understanding of fractions, it does go outside the requirements of the standard. 

Carnival Tickets

The purpose of this task is for students to solve multi-step problems in a context involving a concept that supports financial literacy, namely inflation. Inflation is a sustained increase in the average price level. In this task, students can see that if the price level increases and people’s incomes do not increase, they aren’t able to purchase as many goods and services; in other words, their purchasing power decreases.

What is 23 ÷ 5?

When a division problem involving whole numbers does not result in a whole number quotient, it is important for students to be able to decide whether the context requires the result to be reported as a whole number with remainder (as with Part (b)) or a mixed number/decimal (as with Part (c)). Part (a) presents two variations on a context that require these two different responses to highlight the distinction between them.

Teaching Idea

Name Description
Ball Bounce Experiment

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

Tutorials

Name Description
Units of Measurement Word Problem: Making Change

This Khan Academy tutorial video presents a strategy for computing the amount of change to be received after making a purchase.

Time Word Problem: When to Leave to Get Home on Time

In this Khan Academy tutorial video Chris is told to be home by 6:15. You know the number of minutes it takes him to get home. What time should he leave?

How to convert gallons to quarts, quarts to pints, pints to cups, and cups to ounces

In this video tutorial from Khan Academy, explore converting between gallons, quarts, pints, cups, and fluid ounces.

How to convert hours to minutes and minutes to seconds

In this video tutorial from Khan Academy, explore conversion of units of time between hours, minutes and seconds.

Student Resources

Problem-Solving Tasks

Name Description
Money in the piggy bank:

This task is designed to help students focus on the whole that a fraction refers. It provides a context where there are two natural ways to view the coins.  While the intent is to deepen a student's understanding of fractions, it does go outside the requirements of the standard. 

Carnival Tickets:

The purpose of this task is for students to solve multi-step problems in a context involving a concept that supports financial literacy, namely inflation. Inflation is a sustained increase in the average price level. In this task, students can see that if the price level increases and people’s incomes do not increase, they aren’t able to purchase as many goods and services; in other words, their purchasing power decreases.

What is 23 ÷ 5?:

When a division problem involving whole numbers does not result in a whole number quotient, it is important for students to be able to decide whether the context requires the result to be reported as a whole number with remainder (as with Part (b)) or a mixed number/decimal (as with Part (c)). Part (a) presents two variations on a context that require these two different responses to highlight the distinction between them.

Tutorials

Name Description
Units of Measurement Word Problem: Making Change:

This Khan Academy tutorial video presents a strategy for computing the amount of change to be received after making a purchase.

Time Word Problem: When to Leave to Get Home on Time:

In this Khan Academy tutorial video Chris is told to be home by 6:15. You know the number of minutes it takes him to get home. What time should he leave?

How to convert gallons to quarts, quarts to pints, pints to cups, and cups to ounces:

In this video tutorial from Khan Academy, explore converting between gallons, quarts, pints, cups, and fluid ounces.

How to convert hours to minutes and minutes to seconds:

In this video tutorial from Khan Academy, explore conversion of units of time between hours, minutes and seconds.



Parent Resources

Problem-Solving Tasks

Name Description
Money in the piggy bank:

This task is designed to help students focus on the whole that a fraction refers. It provides a context where there are two natural ways to view the coins.  While the intent is to deepen a student's understanding of fractions, it does go outside the requirements of the standard. 

Carnival Tickets:

The purpose of this task is for students to solve multi-step problems in a context involving a concept that supports financial literacy, namely inflation. Inflation is a sustained increase in the average price level. In this task, students can see that if the price level increases and people’s incomes do not increase, they aren’t able to purchase as many goods and services; in other words, their purchasing power decreases.

What is 23 ÷ 5?:

When a division problem involving whole numbers does not result in a whole number quotient, it is important for students to be able to decide whether the context requires the result to be reported as a whole number with remainder (as with Part (b)) or a mixed number/decimal (as with Part (c)). Part (a) presents two variations on a context that require these two different responses to highlight the distinction between them.

Tutorials

Name Description
How to convert gallons to quarts, quarts to pints, pints to cups, and cups to ounces:

In this video tutorial from Khan Academy, explore converting between gallons, quarts, pints, cups, and fluid ounces.

How to convert hours to minutes and minutes to seconds:

In this video tutorial from Khan Academy, explore conversion of units of time between hours, minutes and seconds.



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