Strand: OPERATIONS AND ALGEBRAIC THINKING (1.OA)

Represent and solve problems involving addition and subtraction within 20 (Standards 1–2, 5–6). Understand and apply properties of operations and the relationship between addition and subtraction (Standards 3–4). Work with addition and subtraction equations (Standards 7–8).

Standard 1.OA.3

Apply properties of operations as strategies to add and subtract. For example: If 8 + 3 = 11 is known, then 3 + 8 = 11 is also known. (Commutative property of addition.) To add 2 + 6 + 4, the second two numbers can be added to make a ten, so 2 + 6 + 4 = 2 + 10 =12. (Associative property of addition.) First grade students need not use formal terms for these properties.

• Cave Game Subtraction
The purpose of this task is for students to practice creating and memorizing subtraction equations, while focusing on missing addends.
The purpose of this task is to help students understand the commutative property of addition. Because the total number of dots is the same regardless of how a domino is oriented, the domino reinforces the idea that the addends can be written in any order.
• Fact Families
The purpose of this task is for students to identify and write sets of related addition and subtraction equations; these are often known as "fact families" because the equations are related by the same underlying relationship between the numbers. This task reinforces the commutative property of addition and using the relationship between addition and subtraction.
• Fact Families with Pictures
The purpose of this task is for students to reinforce students' understanding of "fact families." Fact families reinforce the commutative property of addition and using the relationship between addition and subtraction. Working with fact families is a common activity, although often times students are asked only to work with symbols. Also, the scaffolding for these tasks often only supports students in writing four of the eight possible facts in a family; this task purposefully scaffolds them to write all eight. In addition, this task includes a picture to anchor each fact-family; students can graduate from here to a symbols-only version of this task
• Grade 1 Math Module 2: Intro to Place Value Through Addition and Subtraction Within 20 (EngageNY)
Module 2 serves as a bridge from students' prior work with problem solving within 10 to work within 100 as students begin to solve addition and subtraction problems involving teen numbers. Students go beyond the Level 2 strategies of counting on and counting back as they learn Level 3 strategies informally called "make ten" or "take from ten."
• Grade 1 Mathematics Module 1: Sums and Differences to 10 (EngageNY)
In this first module of Grade 1, students make significant progress towards fluency with addition and subtraction of numbers to 10 as they are presented with opportunities intended to advance them from counting all to counting on which leads many students then to decomposing and composing addends and total amounts.
• Sample Scope and Sequence
This sample scope and sequence document for the implementation of the new Math core for Grade 1 based on 160 days of instruction - 16 units.
• USBE Core Guide for Domain: Operations and Algebraic Thinking (1OA3)
This math guide provides academic vocabulary, instructional strategies, teacher resources, and assessment tasks for the Operations and Algebraic Thinking domain.

http://www.uen.org - in partnership with Utah State Board of Education (USBE) and Utah System of Higher Education (USHE).  Send questions or comments to USBE Specialist - Shannon Ference and see the Mathematics - Elementary website. For general questions about Utah's Core Standards contact the Director - DIANA SUDDRETH .
Email:  diana.suddreth@schools.utah.gov

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