CCSS Operations and Algebraic Thinking (OA)

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CCSS Operations and Algebraic
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Thinking (OA)
Unpacking the Standards
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Grade 2
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Math Practices:
Standard: 2.OA.1 Cluster (m)
1, 2, 3, 4,5, 8
Related CA Standard
2.NS.2.3
2.AF.1.2
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







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
Academic Vocabulary:
* Equation
* take from
* Addend
* add to
* Solution
* put together
* Symbol
* more
* Compare
* less
* unknown
Teaching Notes/Strategies
-
-
-
Model drawings
Manipulatives
Scaffold problems from onestep, 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
Resources
* One Hunter by Pat Hutchins (at K5 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.k5mathteachingresources.com/2ndgrade-number-activities.html
* math journals
* PUSD problem solving poster
* www.cde.gov (Appendix F – more
defined methods for solving singledigit addition/subtraction problems)
Math Practices:
Standard: 2.OA.2 Cluster (m)
2, 7, 8
Related CA Standard
2.NS.2.3
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






Adding and subtracting
within 10
Counting on
Convert to an easier
problem
Determine a strategy to
use
Fluency of computing
Make 10
Academic Vocabulary:

Add

Subtract

Sum

More

Less

Equal

Equation

Count on

Addend

Digits
Teaching Notes/Strategies
-
-
-
-
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 studentdeveloped mental strategies
Flash cards
Computer games
Dots/dot patterns
Resources
* 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.k5mathteachingresources.com/2nd-gradenumber-activities.html
Standard: 2.OA.3 Cluster (s)
Math Practices: 2,3,7,8
Related CA Standard
NEW
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






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
Academic Vocabulary:

Odd

Even

Equal groups

Addend

Equation

Sum

Double

Remaining

Pair
Teaching Notes/Strategies
Resources
- 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)
Math Practices:
Related CA Standard
2.OA.3.1
2,3,7,8
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





Understand repeated addition
Write equations with multiple
addends
Recognize equal parts
Counting by multiples/skip
count
Make equal groups/rows
Academic Vocabulary:
 Addends
 Equal
 Rectangular array
 Row
 Column
 Sum
Teaching Notes/Strategies
- 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
Resources
* Grid paper
* Clear board grids
* Pattern blocks for building arrays
* Number line on floor
* Making arrays activities at
http://www.k5mathteachingresources.com/2ndgrade-number-activities.html
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