Standard #: MAFS.4.NF.3.7 (Archived Standard)


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Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model.



General Information

Subject Area: Mathematics
Grade: 4
Domain-Subdomain: Number and Operations - Fractions
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Understand decimal notation for fractions, and compare decimal fractions. (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 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 :
    Decimals may reference the same whole entity. Decimals are limited to tenths and hundredths. Decimals may be greater than 1. Items may not require a comparison of visual models in isolation.
    Calculator :

    No

    Context :

    Allowable



Sample Test Items (4)

Test Item # Question Difficulty Type
Sample Item 1 Mr. Shelby bought a new plant. The plant grew 2.6 centimeters in the first week and 3.42 centimeters the second week.

Select all the true comparisons of the plant growth for the two weeks.

 

N/A MS: Multiselect
Sample Item 2 Zach and Karla each have seeds they will plant in a class garden. Zach’s seeds weigh 1.5 grams. Karla’s seeds weigh 1.46 grams.

Fill in the circles to select the correct symbol for each comparison.

N/A MI: Matching Item
Sample Item 3 Allison wrote down a decimal number that is greater than 0.58 but less than 0.62. 

What is one number Allison could have written down?

N/A EE: Equation Editor
Sample Item 4 The table shows the distances that Brianna ran on four days.

 


Which comparison about the distances is true?

 

 

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
Using Models to Compare Decimals

Students are asked to compare decimals by drawing a visual model and record the comparison using the less than, greater than, or equal to symbol.

Comparing Decimals in Context

Students are asked to compare two pairs of decimals in the context of word problems and to record a comparison using an inequality symbol.

Comparing Four Tenths

Students are asked to consider two grids with different sized wholes and determine if both models show four-tenths.

Compare Decimals

Students are asked to compare four pairs of decimals using the less than, greater than, or equal to symbols.

Lesson Plans

Name Description
Cell Phone Inquiry

Students will determine what cell phone would be the best phone for their teacher to purchase for science class. Factors to consider are price, touch screen, camera, voice command, weight and display size. Students will need to compare decimals to determine how to order and rank the phone brands.

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.

Comparing and Ordering Decimals

In this cooperative learning activity, students will have five sets of decimal cards to sort and put in order - least to greatest. The lesson starts with a short whole group activity and then breaks off in to structured groups. The teacher is free to interact with each of the groups and monitor progress, participation, and understanding.

Amazing Alice Cookies

Students will help Amazing Alice Cookies choose the perfect chocolate chip brand to use for their cookies. Students will be given data in the form of fractions and decimals. Fourth grade students will compare decimals and order and compare fractions. Students will write a letter describing their procedure to 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.

Original Student Tutorial

Name Description
Return to Deciland: Locating Decimals on a Number Line

Learn how to locate decimals on a number line and compare decimals to save the Decis from a wizard's spell in this interactive tutorial.

Problem-Solving Task

Name Description
Using Place Value

Each part of this task highlights a slightly different aspect of place value as it relates to decimal notation. More than simply being comfortable with decimal notation, the point is for students to be able to move fluidly between and among the different ways that a single value can be represented and to understand the relative size of the numbers in each place.

Tutorial

Name Description
Comparing Two Decimals with a Visual Model

In this Khan Academy tutorial video two decimals are compared using grid diagrams.

Virtual Manipulative

Name Description
Fraction Models

An interactive tool to represent a fraction circle, rectangle, or set model with numerators and denominators ranging from 1 to 100. The decimal and percent equivalents of the created fraction are also displayed.

Student Resources

Original Student Tutorial

Name Description
Return to Deciland: Locating Decimals on a Number Line:

Learn how to locate decimals on a number line and compare decimals to save the Decis from a wizard's spell in this interactive tutorial.

Problem-Solving Task

Name Description
Using Place Value:

Each part of this task highlights a slightly different aspect of place value as it relates to decimal notation. More than simply being comfortable with decimal notation, the point is for students to be able to move fluidly between and among the different ways that a single value can be represented and to understand the relative size of the numbers in each place.

Tutorial

Name Description
Comparing Two Decimals with a Visual Model:

In this Khan Academy tutorial video two decimals are compared using grid diagrams.



Parent Resources

Problem-Solving Task

Name Description
Using Place Value:

Each part of this task highlights a slightly different aspect of place value as it relates to decimal notation. More than simply being comfortable with decimal notation, the point is for students to be able to move fluidly between and among the different ways that a single value can be represented and to understand the relative size of the numbers in each place.



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