NC.2.OA.4
Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and up to 5 columns; write an equation to express the total as a sum of equal addends.
Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and up to 5 columns; write an equation to express the total as a sum of equal addends.
Step 1: Lesson Standards & Learning Goals
In this standard, students build rectangular arrays and write repeated addition equations to find the total number of objects in the arrays as a building block for multiplication in Grade 3. Students are expected to create arrays with concrete objects (e.g., counters, bears, square tiles, etc.) as well as pictorial representations on grid paper or other drawings.
Due to the commutative property of addition, students can add either the rows or the columns and still arrive at the same solution. Students explore this concept with concrete objects (e.g., counters, bears, square tiles, etc.) as well as pictorial representations on grid paper or other drawings.
*While students are not expected in second grade to partition a rectangle into rows and columns, this standard is related to that concept of dividing a rectangle into rows and columns. With this standard, students should explore how to determine the total number of small squares in a pre-marked array. Exploring a rectangle already partitioned into rows and columns is a precursor to learning about the area of a rectangle and using arrays and repeated addition as representations and strategies to support multiplicative thinking.
How can repeated addition help you find the total number of objects and solve problems?
What is the relationship between repeated addition and arrays?
How does rotating or turning an array affect the number of objects?
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Create models to represent rectangular arrays with up to 5 rows and 5 columns.
Determine the total number of objects in arrays they create.
Add repeatedly, to find the total number of objects shown in an array.
Show addition equations that are represented within an array.
Explore the commutative property of addition.
Explore how to determine the total number of small squares in a pre-marked array.
Write repeated addition equations to find the total number of objects in the arrays.
An array is an arrangement of objects in equal rows and columns.
An array involves joining equal groups and is one way to think about repeated addition.
A row is a group of objects shown one beside the other.
A column is a group of objects shown one under the other.
Each row in an array has an equal number of objects.
Each column in an array has an equal number of objects.
Adding rows or columns of an array will result in the same solution.
The number of objects in an array is the same when the array is turned (rotated).
Students will know that repeated addition means to add the same number to itself two or more times.
Step 2: Assessment
NC.2.OA.4 - CO - Howell - Nov. 18, 2022
NC.2 - Cluster 3 Review - CO - Howell - Jan. 23, 2023
NCDPI Assessments
Grade 2 Math Assessment Practice Prompts
Step 3: Lesson Instructions
Exploration or Experience
Give students a set of objects to determine if the numbers can be represented using an array. Have students justify their reasoning.
Tools 4 NC Teachers
Cluster 3 Lessons
Math Expressions - (Barnes and Hearne) - Standards Alignment
Motivation Math
Think Up! Math
Khan Academy - 2nd Grade Math
Eureka Math/Engage NY Free Resources
Embarc Online (Eureka Math) -
Topic A: Formation of Equal Groups
Topic B: Arrays and Equal Groups
Topic C: Rectangular Arrays as a Foundation for Multiplication and Division
Zearn Math - Online Support Practice for Eureka Math (Requires free account)
North Carolina Collaborative for Mathematics Learning - Grade 2 Instructional Framework
NCDPI Resources
Grade 2 Math Assessment Practice Prompts
Grade 2 Released Summative Assessments
Thinking Blocks - Word Problem Practice with Bar Diagrams