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# 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
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 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  cup of butter for each pie. One stick of butter is  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  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))

#### 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.

#### Original Student Tutorial

 Name Description Making Cents of Taxes Learn about sales tax as Malik tries to buy his favorite candy from the store in this short video.

 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.

#### Original Student Tutorial

 Name Description Making Cents of Taxes: Learn about sales tax as Malik tries to buy his favorite candy from the store in this short video.

 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.