Represent addition and subtraction, within 10:
Use a variety of representations such as objects, fingers, mental images, drawings, sounds, acting out situations, verbal explanations, or expressions.
Demonstrate understanding of addition and subtraction by making connections among representations.
Step 1: Lesson Standards & Learning Goals
Uses a Variety of Representations:
In kindergarten, students should begin this work with ample opportunities representing joining (addition) and taking away (subtraction) situations with concrete objects. Visual structures such as a number path or a ten frame may support this work. Students can also initially represent addition and subtraction situations using their fingers and acting out situations. Students’ work should transition towards paper-based representations such as drawings.
Making Connections Among Representations:
This aspect of the standard calls for students to make connections among various representations for the same problem.
*This standard is focused on understanding the concept of addition and subtraction, rather than reading and solving addition and subtraction number sentences (equations). Therefore, before introducing symbols (+, -, =) and equations, kindergarteners require numerous experiences using addition and subtraction vocabulary in order to attach meaning to the various symbols. For example, when explaining a solution, kindergartens may state, “Three and two is the same amount as 5.” While the meaning of the equal sign is not introduced as a standard until first grade, if equations are going to be modeled and used in kindergarten, students must connect the symbol (=) with its meaning (is the same amount/quantity as).
Addition:
How can I represent addition within 10?
How do you join parts to make a whole?
How can you show a whole number using parts in different ways?
How can you use objects or pictures to solve an addition problem?
Subtraction:
How can I represent subtraction within 10?
How do you separate a whole to make parts?
How can you use objects or pictures to solve a subraction problem?
add
addition
equal
join
put together
represent
subtract
subtraction
taking away
Use concrete materials to model joining together (addition) or separating (subtraction) numbers within 10.
Describe the models created using pictures, words, and numbers.
Compose numbers within 10 using pairs in multiple ways using objects or drawings.
Decompose numbers less than 10 into pairs in multiple ways using objects or drawings.
Represent addition and subtraction (within 10) with objects, fingers, mental images, sounds, acting out situations, verbal explanations, or expressions.
Joining parts or groups to make a whole is one way of representing addition.
Addition occurs when one number is increased by another amount.
Separating or taking parts of a group away is one way of representing subtraction.
Comparing two quantities to find how much more or less one quantity is than another is one interpretation of subtraction.
There is more than one way to show a number.
There are several strategies, such as counting on and counting back, that can be used to solve addition or subtraction problems.
Step 2: Assessment
NCDPI Math Assessment Released Forms
Grade K Math Assessment Practice Prompts
Grade K Released Summative Assessments
Step 3: Lesson Instructions
Video Clip
Read Aloud
Tools for NC Teachers
Cluster 5 - Lessons
Math Expressions - (Barnes and Hearne)
Motivation Math
Think Up! Math
Eureka Math/Engage NY Resources
Embarc Online (Eureka Math)
Topic A: Composition and Decompositions of 2, 3, 4, and 5
Topic B: Decompositions of 6, 7, and 8 into Number Pairs
Topic C: Addition with Totals of 6, 7, and 8
Topic D: Subtraction from Numbers to 8
Topic E: Decompositions of 9 and 10 into Number Pairs
Topic F: Additions with Totals of 9 and 10
Topic G: Subtraction from 9 and 10
Topic H: Patterns with Adding 0 and 1 and Making 10
Zearn Math - Online Support Practice for Eureka Math (Requires free account)
North Carolina Collaborative for Mathematics Learning - Kindergarten Instructional Framework
NCDPI Resources
Kindergarten Math Assessment Practice Prompts
