Understand addition as adding to, and understand subtraction as taking from.

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Common Core State Standards
- English Language Arts
  - Kindergarten
    - Reading: Literature
    - Reading: Informational Text
    - Reading: Foundational Skills
      - Print Concepts
        
        RF.K.1
        
        RF.K.1.A
        
        RF.K.1.B
        
        RF.K.1.C
        
        RF.K.1.D
      - Phonological Awareness
        
        RF.K.2
        
        RF.K.2.A
        
        RF.K.2.C
        
        RF.K.2.D
      - Phonics and Word Recognition
        
        RF.K.3
        
        RF.K.3.A
        
        RF.K.3.B
        
        RF.K.3.C
        
        RF.K.3.D
      - Fluency
        
        RF.K.4
    - Writing
      - Text Types and Purposes
        
        W.K.3
    - Language
      - Conventions of Standard English
        
        L.K.1
        
        L.K.1.B
        
        L.K.1.C
        
        L.K.1.D
        
        L.K.1.E
        
        L.K.1.F
        
        L.K.2
        
        L.K.2.A
        
        L.K.2.B
        
        L.K.2.C
        
        L.K.2.D
      - Vocabulary Acquisition and Use
        
        L.K.4
        
        L.K.4.A
        
        L.K.4.B
        
        L.K.5
        
        L.K.5.A
        
        L.K.5.B
        
        L.K.5.C
        
        L.K.5.D
    - Speaking & Listening
      - SL.K.2
      - SL.K.4
  - Grade 1
  - Grade 2
  - Grade 3
- Math
  - Kindergarten
    - Counting and Cardinality
      - K.CC.A
        
        K.CC.A.1
        
        K.CC.A.2
      - K.CC.B
        
        K.CC.B.4
        
        K.CC.B.5
      - K.CC.C
        
        K.CC.C.6
        
        K.CC.C.7
    - Operations and Algebraic Thinking
      - K.OA.A
        
        K.OA.A.1
        
        K.OA.A.2
        
        K.OA.A.4
        
        K.OA.A.5
    - Number and Operations in Base Ten
      - K.NBT.A
        
        K.NBT.A.1
    - Measurement and Data
      - K.MD.A
        
        K.MD.A.1
        
        K.MD.A.2
      - K.MD.B
        
        K.MD.B.3
    - Geometry
      - K.G.A
        
        K.G.A.1
        
        K.G.A.2
        
        K.G.A.3
      - K.G.B
        
        K.G.B.4
        
        K.G.B.5
        
        K.G.B.6
  - Grade 1
    - Operations and Algebraic Thinking
      - 1.OA.A
        
        1.OA.A.1
        
        1.OA.A.2
      - 1.OA.B
        
        1.OA.B.3
        
        1.OA.B.4
      - 1.OA.C
        
        1.OA.C.5
        
        1.OA.C.6
      - 1.OA.D
        
        1.OA.D.8
    - Number and Operations in Base Ten
      - 1.NBT.A
        
        1.NBT.A.1
      - 1.NBT.B
        
        1.NBT.B.2
        
        1.NBT.B.3
      - 1.NBT.C
        
        1.NBT.C.4
        
        1.NBT.C.5
        
        1.NBT.C.6
    - Measurement and Data
      - 1.MD.A
        
        1.MD.A.1
        
        1.MD.A.2
      - 1.MD.B
        
        1.MD.B.3
      - 1.MD.C
        
        1.MD.C.4
    - Geometry
      - 1.G.A
        
        1.G.A.1
        
        1.G.A.2
        
        1.G.A.3
  - Grade 2
    - Operations and Algebraic Thinking
      - 2.OA.A
        
        2.OA.A.1
      - 2.OA.B
        
        2.OA.B.2
      - 2.OA.C
        
        2.OA.C.3
        
        2.OA.C.4
    - Number and Operations in Base Ten
      - 2.NBT.A
        
        2.NBT.A.1
        
        2.NBT.A.2
        
        2.NBT.A.3
        
        2.NBT.A.4
      - 2.NBT.B
        
        2.NBT.B.5
        
        2.NBT.B.6
        
        2.NBT.B.7
    - Measurement and Data
      - 2.MD.A
        
        2.MD.A.1
        
        2.MD.A.2
        
        2.MD.A.3
        
        2.MD.A.4
      - 2.MD.B
        
        2.MD.B.5
      - 2.MD.C
        
        2.MD.C.7
        
        2.MD.C.8
      - 2.MD.D
        
        2.MD.D.9
        
        2.MD.D.10
    - Geometry
      - 2.G.A
        
        2.G.A.1
        
        2.G.A.2
        
        2.G.A.3
  - Grade 3
    - Operations and Algebraic Thinking
      - 3.OA.A
        
        3.OA.A.3
        
        3.OA.A.4
      - 3.OA.B
        
        3.OA.B.5
        
        3.OA.B.6
      - 3.OA.C
        
        3.OA.C.7
      - 3.OA.D
        
        3.OA.D.8
        
        3.OA.D.9
    - Number and Operations in Base Ten
      - 3.NBT.A
        
        3.NBT.A.1
        
        3.NBT.A.2
    - Measurement and Data
      - 3.MD.A
        
        3.MD.A.1
        
        3.MD.A.2
      - 3.MD.B
        
        3.MD.B.3
        
        3.MD.B.4
      - 3.MD.C
        
        3.MD.C.5
        
        3.MD.C.6
      - 3.MD.D
        
        3.MD.D.8
    - Geometry
      - 3.G.A
        
        3.G.A.1
        
        3.G.A.2
    - Number and Operations-Fractions
      - 3.NF.A
        
        3.NF.A.1
        
        3.NF.A.2
        
        3.NF.A.3
New York State Standards
- Math
  - Preschool
- English Language Arts
  - Preschool
- Social Studies
  - Kindergarten
    - Individual Development and Cultural Identity
      - K.1
        
        K.1a
        
        K.1b
      - K.2
        
        K.2a
        
        K.2b
        
        K.2c
      - K.3
        
        K.3b
    - Civics
      - K.4
        
        K.4a
        
        K.4b
      - K.5
        
        K.5a
        
        K.5b
    - Geography and Environment
      - K.6
        
        K.6a
        
        K.6b
        
        K.6c
    - Time, Continuity, and Change
      - K.8
        
        K.8a
  - Grade 1
    - Individual Development and Cultural Identity
      - 1.3
        
        1.3a
        
        1.3b
        
        1.3c
      - 1.4
        
        1.4a
        
        1.4b
        
        1.4c
      - 1.1
      - 1.2
    - Geography and Environment
      - 1.5
        
        1.5a
        
        1.5b
        
        1.5c
      - 1.6
        
        1.6a
    - Time, Continuity, and Change
      - 1.7
        
        1.7d
      - 1.8
        
        1.8a
    - Economic Systems
      - 1.9
        
        1.9a
        
        1.9b
        
        1.9c
      - 1.10
        
        1.10a
        
        1.10b
  - Grade 2
    - Individual Development and Cultural Identity
      - 2.2
        
        2.2b
      - 2.1
    - Civics
      - 2.4
        
        2.4a
        
        2.4b
        
        2.4c
      - 2.3
    - Geography and Environment
      - 2.5
        
        2.5b
        
        2.5d
    - Time, Continuity, and Change
      - 2.6
      - 2.7
    - Economic Systems
      - 2.8
        
        2.8a
        
        2.8b
        
        2.8c
      - 2.9
        
        2.9a
        
        2.9b
        
        2.9c
  - Grade 3
    - Civics
      - 3.7
      - 3.8
    - Geography and Environment
      - 3.1
        
        3.1a
        
        3.1b
      - 3.2
        
        3.2a
        
        3.2b
      - 3.3
        
        3.3a
        
        3.3b
    - Time, Continuity, and Change
      - 3.4
        
        3.4a
        
        3.4b
    - Economic Systems
      - 3.9
        
        3.9a
      - 3.10
        
        3.10a
    - Cultures
      - 3.5
        
        3.5b
Next Generation Science Standards
- Science