Full 1st Grade Math
Knowledge Points & Study Guide

The full 1st Grade Common Core knowledge-point list. Free printable practice, downloadable PDF checklist, and Socratic missions β€” covering every CCSS standard for this grade.

Tip: every topic guide below is printer-friendly β€” open a guide and choose "Print β†’ Save as PDF" to generate a free worksheet.

Handbook Learning Route

Use this handbook to cover the full 1st Grade skill map

Grade 1 math should move children from counting one object at a time to seeing numbers as parts, tens, and relationships. The goal is not faster tapping; it is number sense that can explain addition, subtraction, place value, measurement, and shapes.

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1st Grade Knowledge Points

12 Topics Β· Common Core Aligned
  1. βž•
    01

    Addition

    1.OA.A.1

    Understanding addition as putting together and adding to, within 20, with a focus on the "make 10" strategy.

    Add Plus Sum Total Together Make 10
  2. βš–οΈ
    02

    Comparing Numbers (Greater Than, Less Than)

    1.NBT.B.3

    Comparing two-digit numbers using the symbols >, <, and =.

    Greater Than Less Than Equal To Balance
  3. πŸ•
    03

    Fractions (Halves & Quarters)

    1.G.A.3

    Partition circles and rectangles into two and four equal shares β€” halves and quarters as the first fraction concept.

    Half Quarter Fourth Equal Share Whole Partition
  4. πŸ“
    04

    Indirect Length Comparison

    1.MD.A.1

    Compare the lengths of two objects indirectly by using a third object β€” the transitivity of length.

    Indirect Comparison Third Object Transitivity Reference Longer Shorter
  5. πŸ”„
    05

    Inverse Operations & Fact Families

    1.OA.B.4

    Understand subtraction as an unknown-addend problem β€” addition and subtraction are two views of the same fact.

    Fact Family Inverse Unknown Addend Missing Number Undo
  6. πŸ“
    06

    Measurement & Length

    1.MD.A.1

    Ordering and comparing objects by length, using the "same starting line" rule.

    Longer Shorter Order Compare Endpoint
  7. πŸ”Ÿ
    07

    Place Value (Tens and Ones)

    1.NBT.B.2

    Understanding that two-digit numbers are built from tens and ones β€” the power of grouping by 10.

    Tens Ones Digit Value Bundle Base-10
  8. πŸ”Ί
    08

    Shape Attributes (Defining vs Non-defining)

    1.G.A.1

    Distinguish defining attributes (sides, vertices, closed) from non-defining attributes (color, size, orientation).

    Defining Attribute Non-defining Attribute Side Vertex Orientation
  9. πŸ”·
    09

    Shapes (Recognize & Compose)

    1.G.A.2

    Recognizing 2D shapes by defining attributes, and composing larger shapes from smaller ones.

    Triangle Square Rectangle Circle Hexagon Side Vertex Compose
  10. βž–
    10

    Subtraction

    1.OA.A.1

    Understanding subtraction as taking from, taking apart, and comparing β€” within 20.

    Subtract Minus Difference Left Over Take Away
  11. 1️⃣
    11

    Teen Numbers (11-19)

    1.NBT.B.2

    Compose and decompose teen numbers (11–19) as 1 ten and a number of ones.

    Teen Eleven Compose Decompose Ten and Ones
  12. πŸ”Ÿ
    12

    Adding Multiples of 10

    1.NBT.C.4

    Add multiples of 10 within 100 β€” when you add tens, the ones digit never changes.

    Tens Bundle Multiple of 10 Ten More Skip Count

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