 # Standard #: MAFS.5.NBT.2.7

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Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

### General Information

Subject Area: Mathematics
Domain-Subdomain: Number and Operations in Base Ten
Cluster: Level 2: Basic Application of Skills & Concepts
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 of Last Rating: 02/14
Status: State Board Approved
Assessed: Yes

### Test Item Specifications

N/A

Assessment Limits :
Items may only use factors that result in decimal solutions to the thousandths place (e.g., multiplying tenths by hundredths). Items may not include multiple different operations within the same expression (e.g., 21 + 0.34 x 8.55). Expressions may have up to two procedural steps of the same operation.
Calculator :

No

Context :

Allowable

### Sample Test Items (3)

 Test Item # Question Difficulty Type Sample Item 1 What is the value of the expression?5.2 × 10.38 N/A EE: Equation Editor Sample Item 2 An expression is shown.12.25 + 3.05 +0.6What is the value of the expression? N/A EE: Equation Editor Sample Item 3 Allen ran 5.4 miles on Monday and 3.28 miles on Tuesday. How many miles did Allen run altogether? N/A EE: Equation Editor

#### Related Courses

 Course Number1111 Course Title222 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)) 5012065: Accelerated Mathematics Plan Grade 4 (Specifically in versions: 2019 and beyond (current))

#### Related Access Points

 Access Point Number Access Point Title MAFS.5.NBT.2.AP.7a Solve one-step problems using decimals.

#### Assessments

 Name Description Sample 4 - Fifth Grade Math State Interim Assessment This is a State Interim Assessment for fifth grade. Sample 3 - Fifth Grade Math State Interim Assessment This is a State Interim Assessment for fifth grade. Sample 2 - Fifth Grade Math State Interim Assessment This is a State Interim Assessment for fifth grade. Sample 1 - Fifth Grade Math State Interim Assessment This is a State Interim Assessment for fifth grade.

#### Educational Games

 Name Description Ice Ice Maybe: An Operations Estimation Game This fun and interactive game helps practice estimation skills, using various operations of choice, including addition, subtraction, multiplication, division, using decimals, fractions, and percents. Various levels of difficulty make this game appropriate for multiple age and ability levels. Addition/Subtraction: The addition and subtraction of whole numbers, the addition and subtraction of decimals. Multiplication/Division: The multiplication and addition of fractions and decimals. Percentages: Identify the percentage of a whole number. Fractions: Multiply and divde a whole number by a fraction, as well as apply properties of operations. Circle 3 (Addition of Decimals) This addition game uses mixed decimals to the tenths place. This game encourages some logical analysis as well as addition skills. There may be several ways to make the first couple of circles sum to 3, but there is only one way to combine all the given numbers so that every circle sums to 3. Change Maker This interactive applet gives students practice in making change in U.S. dollars and in four other currencies. Students are presented with a purchase amount and the amount paid, and they must enter the quantity of each denomination that make up the correct change. Students are rewarded for correct answers and are shown the correct change if they err. There are four levels of difficulty, ranging from amounts less than a dollar to amounts over \$100.

#### Formative Assessments

 Name Description Running A Race Students are asked to solve a word problem that involves adding two decimals by using a strategy based on place value. Tony’s Lunchbox Students are asked to solve a word problem that involves subtracting two decimals by using a strategy based on place value. Buying Candy Bars Students are asked to solve a word problem involving multiplication of a decimal by a whole number using a model or drawing or a strategy based on place value, the relationship between multiplication and division, or properties of operations. Running Students are asked to solve a word problem involving division of a whole number by a decimal using a model or drawing, a strategy based on place value, the relationship between multiplication and division, or properties of operations.

#### Original Student Tutorials

 Name Description Designing Dog Playgrounds: Multiplying Decimals Help your town build a dog park by multiplying whole numbers by decimals to the tenths place in this interactive tutorial. Topsy-Turvy Playground: Subtracting Decimals Learn to subtract decimals to the hundredths place using place-value models and written expressions as you fix the topsy-turvy playground in this interactive tutorial. Sweet Treats Factory Invasion: Adding Decimals Help these aliens clean up the Sweet Treats Factory by learning to add decimals in this interactive mathematics tutorial.

 Name Description 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.

#### Tutorial

 Name Description Adding and Subtracting with Decimals This tutorial for student audiences will assist learners with a further understanding of the rules for adding and subtracting with decimals. Students will be able to navigate the teaching portion of the tutorial at their own pace and test their understanding after each step of the lesson with a "Try This" section. The "Try This" section will monitor students answers and self-check by a right answer turning orange and a wrong answer dissolving.

#### Virtual Manipulatives

 Name Description Base Blocks Decimals With this virtual manipulative, students can explore the meaning of place value and grouping as they add and subtract decimals. Base blocks consist of individual units, longs, flats, and blocks (ten of each set for base 10). These blocks can represent negative as well as positive numbers with one to four decimal places and in five different bases. Students exchange and group the blocks as needed to solve the problem. Problems can be presented to or created by the students. All material is available in Spanish and French as well as English, including instructions for using the manipulative, information about bases and place value, and suggested questions for classroom use. Diffy Virtual Manipulative Diffy is a virtual manipulative that allows students to practice their subtraction facts with whole numbers, integers, fractions, decimals, or money. It is a puzzle of sorts with four black numbers placed at the corners of a black square. The first goal is to fill in the four blanks in the blue circles in the middle of each side of the black square.

#### Original Student Tutorials

 Name Description Designing Dog Playgrounds: Multiplying Decimals: Help your town build a dog park by multiplying whole numbers by decimals to the tenths place in this interactive tutorial. Topsy-Turvy Playground: Subtracting Decimals: Learn to subtract decimals to the hundredths place using place-value models and written expressions as you fix the topsy-turvy playground in this interactive tutorial. Sweet Treats Factory Invasion: Adding Decimals: Help these aliens clean up the Sweet Treats Factory by learning to add decimals in this interactive mathematics tutorial.

#### Educational Games

 Name Description Ice Ice Maybe: An Operations Estimation Game: This fun and interactive game helps practice estimation skills, using various operations of choice, including addition, subtraction, multiplication, division, using decimals, fractions, and percents. Various levels of difficulty make this game appropriate for multiple age and ability levels. Addition/Subtraction: The addition and subtraction of whole numbers, the addition and subtraction of decimals. Multiplication/Division: The multiplication and addition of fractions and decimals. Percentages: Identify the percentage of a whole number. Fractions: Multiply and divde a whole number by a fraction, as well as apply properties of operations. Circle 3 (Addition of Decimals): This addition game uses mixed decimals to the tenths place. This game encourages some logical analysis as well as addition skills. There may be several ways to make the first couple of circles sum to 3, but there is only one way to combine all the given numbers so that every circle sums to 3. Change Maker: This interactive applet gives students practice in making change in U.S. dollars and in four other currencies. Students are presented with a purchase amount and the amount paid, and they must enter the quantity of each denomination that make up the correct change. Students are rewarded for correct answers and are shown the correct change if they err. There are four levels of difficulty, ranging from amounts less than a dollar to amounts over \$100.

 Name Description 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.

#### Tutorial

 Name Description Adding and Subtracting with Decimals: This tutorial for student audiences will assist learners with a further understanding of the rules for adding and subtracting with decimals. Students will be able to navigate the teaching portion of the tutorial at their own pace and test their understanding after each step of the lesson with a "Try This" section. The "Try This" section will monitor students answers and self-check by a right answer turning orange and a wrong answer dissolving.

#### Virtual Manipulatives

 Name Description Base Blocks Decimals: With this virtual manipulative, students can explore the meaning of place value and grouping as they add and subtract decimals. Base blocks consist of individual units, longs, flats, and blocks (ten of each set for base 10). These blocks can represent negative as well as positive numbers with one to four decimal places and in five different bases. Students exchange and group the blocks as needed to solve the problem. Problems can be presented to or created by the students. All material is available in Spanish and French as well as English, including instructions for using the manipulative, information about bases and place value, and suggested questions for classroom use. Diffy Virtual Manipulative: Diffy is a virtual manipulative that allows students to practice their subtraction facts with whole numbers, integers, fractions, decimals, or money. It is a puzzle of sorts with four black numbers placed at the corners of a black square. The first goal is to fill in the four blanks in the blue circles in the middle of each side of the black square.

#### Educational Game

 Name Description Circle 3 (Addition of Decimals): This addition game uses mixed decimals to the tenths place. This game encourages some logical analysis as well as addition skills. There may be several ways to make the first couple of circles sum to 3, but there is only one way to combine all the given numbers so that every circle sums to 3.

 Name Description 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.

#### Tutorial

 Name Description Adding and Subtracting with Decimals: This tutorial for student audiences will assist learners with a further understanding of the rules for adding and subtracting with decimals. Students will be able to navigate the teaching portion of the tutorial at their own pace and test their understanding after each step of the lesson with a "Try This" section. The "Try This" section will monitor students answers and self-check by a right answer turning orange and a wrong answer dissolving.

#### Virtual Manipulatives

 Name Description Base Blocks Decimals: With this virtual manipulative, students can explore the meaning of place value and grouping as they add and subtract decimals. Base blocks consist of individual units, longs, flats, and blocks (ten of each set for base 10). These blocks can represent negative as well as positive numbers with one to four decimal places and in five different bases. Students exchange and group the blocks as needed to solve the problem. Problems can be presented to or created by the students. All material is available in Spanish and French as well as English, including instructions for using the manipulative, information about bases and place value, and suggested questions for classroom use. Diffy Virtual Manipulative: Diffy is a virtual manipulative that allows students to practice their subtraction facts with whole numbers, integers, fractions, decimals, or money. It is a puzzle of sorts with four black numbers placed at the corners of a black square. The first goal is to fill in the four blanks in the blue circles in the middle of each side of the black square.

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