CCSS Operations and Algebraic Thinking (OA)
Unpacking the Standards
Grade 2

Standard: 2.OA.1 Cluster (m)

Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.

Essential Skills/Concepts / Teaching Notes/Strategies / Resources
·  Add to 100
·  Subtract within 100
·  Draw symbols to represent unknowns
·  Explain thinking using words, symbols, and writing
·  Understand the situation in the word problem
·  Understand different types of add/subtract problems (See Framework p. 7)
·  Understand there are different strategies to solve / -  Model drawings
-  Manipulatives
-  Scaffold problems from one-step, to two-step, etc.
-  Use trade books with word problems to collaboratively solve (i.e. After reading The Napping House, solve this word problem: When all the sleepers were piled up, how many feet were in the bed? Use pictures, numbers or words to show your thinking.)
-  Anchor charts for sharing symbols
-  Board math
-  Daily word problem
-  Students use document camera to demonstrate and justify their thinking
-  Students write word problems for their classmates to solve / * One Hunter by Pat Hutchins (at K-5 Math Resources below)
* The Napping House by Audrey Wood (at K-5 Math Resources below)
* P. Bear’s New Years Party by Paul Owen Lewis(at K-5 Math Resources below)
* http://www.k-5mathteachingresources.com/2nd-grade-number-activities.html
* math journals
* PUSD problem solving poster
* www.cde.gov (Appendix F – more defined methods for solving single-digit addition/subtraction problems)

Standard: 2.OA.2 Cluster (m)

Fluently add and subtract within 20 using mental strategies. By end of Grade 2, know from memory all sums of two one-digit numbers.

Essential Skills/Concepts / Teaching Notes/Strategies / Resources
·  Adding and subtracting within 10
·  Counting on
·  Convert to an easier problem
·  Determine a strategy to use
·  Fluency of computing
·  Make 10 / -  Games in centers
-  Domino or dice games (choose two and find sum)
-  Interactive games from NCTM
-  Living chart of strategies (counting on, making tens, decomposing a number leading to ten, fact families, doubles, doubles plus 1)
-  Math journals for strategies
-  Number talks
-  Board math
-  Magic Square game (try to get each row to equal a given number)
-  Number webs
-  Make posters for student-developed mental strategies
-  Flash cards
-  Computer games
-  Dots/dot patterns / * Two of Everything by Lily Toy Hong (activity at K-5 Resources site below)
*Ten frames/double ten frames
*Magic Square game at
http://illuminations.nctm.org/ActivityDetail
.aspx?ID=75
* http://www.k-5mathteachingresources.com/2nd-grade-number-activities.html

Standard: 2.OA.3 Cluster (s)

Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2’s; write an equation to express an even number as a sum of two equal addends.

Essential Skills/Concepts / Teaching Notes/Strategies / Resources
·  Count by 2’s
·  Write addition equations for doubles
·  Count 1-20
·  Group objects into pairs
·  Understand concept of even vs. odd
·  Explain why a number is even or odd / - Songs for odd and even
-Using manipulatives (grab a handful and record how many pairs you have and how many extras)
- Modeling with concrete objects for grouping
- Odd and Even read alouds
- Have groups of students pair up in different pairings to determine even or odd when lining up
- Board math
- Using objects, find the numbers that will have some objects remaining and no objects remaining after separating the collections into two equal groups / * Manipulatives for grouping
* Doubles song/chant
* “Even Song” sung to Bingo (There was a farmer had a cow and Even was her name-o, 0,2,4,6,8)
* Even Stephen Odd Todd by Kathryn Cristaldi
* If You Were an Odd Number (Math Fun) By Marcie Aboff
* My Even Day and One Odd Day by Doris Fisher

Standard: 2.OA.4 Cluster (s)

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.

Essential Skills/Concepts / Teaching Notes/Strategies / Resources
·  Understand repeated addition
·  Write equations with multiple addends
·  Recognize equal parts
·  Counting by multiples/skip count
·  Make equal groups/rows / - Walk the number line multiple times
- Use clearboard grids with counters
- Make arrays with a set number of counters (record all possibilities)
- Have students sit in arrays on the rug and use equation to calculate
-Board math / * Grid paper
* Clear board grids
* Pattern blocks for building arrays
* Number line on floor
* Making arrays activities at http://www.k-5mathteachingresources.com/2nd-grade-number-activities.html