Standard #: MA.4.NSO.2.7


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Explore the addition and subtraction of multi-digit numbers with decimals to the hundredths.


Clarifications


Clarification 1: Instruction includes the connection to money and the use of manipulatives and models based on place value.

General Information

Subject Area: Mathematics (B.E.S.T.)
Grade: 4
Strand: Number Sense and Operations
Standard: Build an understanding of operations with multi-digit numbers including decimals.
Date Adopted or Revised: 08/20
Status: State Board Approved

Benchmark Instructional Guide

Connecting Benchmarks/Horizontal Alignment

 

Terms from the K-12 Glossary

  • Equation 
  • Expression

 

Vertical Alignment

Previous Benchmarks

 

Next Benchmarks

 

Purpose and Instructional Strategies

  • The purpose of this benchmark is for students to explore addition and subtraction of decimals to the hundredths using manipulatives, visual models, discussions, estimation, and drawing. 
  • Instruction should focus on strategies based on place value. Through the connection to money, students can build on previous content knowledge about money to add and subtract decimals based on place value. Examples of manipulatives that support understanding when adding and subtracting decimals are base-ten blocks, place-value chips, money (dollars and coins), and place-value mats.

 

Common Misconceptions or Errors

  • A common error that students make is to not add or subtract like place values, especially in an example such as 30.1 + 2.74. Instruction should relate decimals to methods used for whole numbers. When adding whole numbers, ones were added to ones, tens to tens, hundreds to hundreds, and so forth. When adding decimal numbers, like place values are combined, too. Like place values are subtracted, just as with whole numbers.

 

Strategies to Support Tiered Instruction

  • Instruction includes relating decimals to methods used for whole numbers. When adding whole numbers, ones were added to ones, tens to tens, hundreds to hundreds, and so forth. When adding decimal numbers, like place values are combined, too. Like place values are subtracted, just as with whole numbers. The teacher utilizes place value charts so that students can see where to line up values for the computation. 
    • For example, 20.2 − 9.75 is going to require some regrouping. By placing the problem in a place value chart, students line up the decimal and subtract like place values. 
value chart
  • Instruction includes relating decimal place values. Working with base ten blocks, students build decimals and their equivalents. 
    • For example, building 0.2 “two-tenths” and 0.20 “ twenty hundredths” with base, ten blocks will help students to realize that the numbers have the same value.
base-ten blocks

 

Instructional Tasks

Instructional Task 1 (MTR.7.1) 

Tony’s lunchbox weighs 2.5 pounds. He took out his apple which weighs 0.65 pounds. How much does his lunchbox weigh now?

 

Instructional Items

Instructional Item 1 

Match each expression on the left with the equivalent decimal. 

 

*The strategies, tasks and items included in the B1G-M are examples and should not be considered comprehensive.


Related Courses

Course Number1111 Course Title222
5012060: Grade Four Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current))
7712050: Access Mathematics Grade 4 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
5012065: Grade 4 Accelerated Mathematics (Specifically in versions: 2019 - 2022, 2022 - 2024, 2024 and beyond (current))
5012015: Foundational Skills in Mathematics 3-5 (Specifically in versions: 2019 - 2022, 2022 - 2024, 2024 and beyond (current))


Related Access Points

Access Point Number Access Point Title
MA.4.NSO.2.AP.7 Explore the addition and subtraction of decimals less than one to the tenths (e.g., 0.3 + 0.5) and hundredths (e.g., 0.25 − 0.12).


Related Resources

Lesson Plans

Name Description
Making Cents of Taxes Part 1

In this lesson plan, students will apply addition and subtraction skills with decimal values and multiplication of whole numbers to explore how taxes may impact citizens’ daily lives.

3-COURSE Meal Mini Lesson Money Matter Part 3

This lesson aims to enhance students' problem-solving skills while fostering their understanding of how public issues impact citizens' daily lives. Students will use a grocery store ad and purchase multiple items to complete a 3-course meal for them and a few friends. Students will be challenged to stay within a budget to complete the task. They will add and subtract decimals to the hundredth, applying place value strategies while using money in this integrated lesson plan.

3-COURSE MEAL Mini Unit Money Matters Part 2

In this lesson students purchased supplies to build a bird house and had to stick to a budget when doing so

3-Course Meal Mini Unit Money Matters Part 1

In this lesson of the unit students will learn how to add and subtract decimals to the tenth and hundredth place value. Students will apply place value strategies while using money in this integrated math/civis lesson plan. 

Emergency Savings

Students will use their multiplication skills to explore the importance of taxes and how the government uses tax revenues to save for unforeseen emergencies, in this integrated lesson plan.

Volunteering with the Mayor Part 2

Volunteering is vital to keeping any community safe, inviting, and running smoothly! In this lesson, students will work together to plan a volunteer project they would like to see happen in their community; as well as, create a budget for their project.

Volunteering with the Mayor

The mayor wants to build a new park in town! Volunteer your time and help the mayor design an expense report with a given budget for the new park in this lesson.

Making Cents of Taxes Part 2

In this lesson plan, students will apply addition and subtraction skills with decimal values while exploring how taxes may impact citizen’s daily lives.

Shopping for Groceries

In this lesson, students will use grocery ads to take the role of a shopper and a cashier and will purchase several items. Students will be able to add and subtract decimals to hundredths, using strategies based on models, illustrations, and place value.

Where Will We Stay?

In this lesson, students explore lodging options for their dream family vacation. Students will plan a vacation for a family of four. With a budget of $5,000 students will prepare a budget to include the cost of transportation, lodging, and attractions. In this lesson, students will focus on preparing the budget for hotel costs. In lesson 1 of this unit lesson, students prepared a budget for transportation. In the subsequent lesson to this one, students will prepare a budget for the entertainment/attractions costs portion of their vacation. Teachers can choose to do one, some, or all lessons as they can be completed independently of one another.

A Tasty Treat

In this lesson, students will be given a list of ingredients and prices they must use to create their own snack mix. Students will have to add, subtract, multiply, and divide decimal numbers. The closure of the lesson focuses specifically on the division strategies students used to solve the problem.

The Toy Shop

This is an interactive and collaborative activity where the students will have the opportunity to play the roles of a customer and cashier at a "toy shop". This activity will provide your students with real-world examples involving money while using decimal notation appropriately. This could be a great activity to complete in one day, or throughout the week, depending on your students' needs!

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.

Original Student Tutorials

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.

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.

Perspectives Video: Expert

Name Description
B.E.S.T. Journey

What roles do exploration, procedural reliability, automaticity, and procedural fluency play in a student's journey through the B.E.S.T. benchmarks? Dr. Lawrence Gray explains the path through the B.E.S.T. mathematics benchmarks in this Expert Perspectives video.

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.

Worksheet

Name Description
Open Number Line

Open Number Line

Student Resources

Original Student Tutorials

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.

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.

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.

Worksheet

Name Description
Open Number Line:

Open Number Line



Parent Resources

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.

Worksheet

Name Description
Open Number Line:

Open Number Line



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