NC.4.NBT.4
Add and subtract multi-digit whole numbers up to and including 100,000 using the standard algorithm with place value understanding.
Add and subtract multi-digit whole numbers up to and including 100,000 using the standard algorithm with place value understanding.
Step 1: Lesson Standards & Learning Goals
Students build on their conceptual understanding of addition and subtraction using place value and flexibility with multiple strategies including expanded form and drawings of base 10 blocks to make sense of the standard algorithm.
Students are expected to explain their thinking to show understanding of the algorithm. They will use place value in describing and justifying the processes they use to add and subtract. In mathematics, an algorithm is defined by its steps and not by the way those steps are recorded in writing. With this in mind, minor variations in methods of recording standard algorithms are acceptable. Fourth grade is the first time students are expected to be proficient at using the standard algorithm to add and subtract.
NOTE: Students may ask if it is possible to subtract a larger number from a smaller number. While it is not the focus or expectation of this standard in this grade, students should know that it is mathematically possible, and they will be learning more about that concept in later grades. If the misconception that larger numbers cannot be subtracted from smaller numbers is confirmed or reinforced, students may struggle to make the transition to negative numbers in later grades.
What strategies can be used to add and subtract multi-digit whole numbers?
How are addition and subtraction related to one another?
How does understanding place value help solve multi-digit addition and subtraction problems?
Explain how to add and subtract using a standard algorithm.
Addend
Algorithm
Difference
Operation
Place value
Regroup
Sum
Use place value and other strategies to add and subtract while developing and making sense of the algorithm.
Fluently add and subtract multi-digit whole numbers to 100,000 using the standard algorithm.
Explain their thinking to show understanding of the algorithm.
The standard addition and subtraction algorithms for multi-digit numbers break the calculation into simpler calculations using place value starting with the ones, then tens and so on.
Addition and Subtraction are inverse operations.
Step 2: Assessment
NC.4.NBT.4 - CO - Howell - Sept. 15, 2022
NC.4 Cluster 3 Review - CO - Howell - Mar. 2, 2023
Step 3: Lesson Instructions
Video Clip
https://www.teachingwithkayleeb.com/
Tools 4 NC Teachers
Teacher Content Information - Understanding Place Value Brief
Cluster 3 Lessons
Cluster 3 Additional Resource List
Math Expressions - (Barnes and Hearne) - Standards Alignment
Motivation Math
Think Up! Math
Khan Academy - 4th Grade Math
Eureka Math/Engage NY Free Resources
Embarc Online (Eureka Math) - Grade 4 Module 1
Zearn Math - Online Support Practice for Eureka Math (Requires free account)
North Carolina Collaborative for Mathematics Learning - Grade 4 Instructional Framework
NCDPI Resources
YouTube Videos