Full 3rd Grade Math
Knowledge Points & Study Guide

The full 3rd Grade Common Core knowledge-point list. Free printable practice, downloadable PDF checklist, and Socratic missions โ€” covering every CCSS standard for this grade.

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

Handbook Learning Route

Use this handbook to cover the full 3rd Grade skill map

Grade 3 is the logic shift from additive thinking to multiplicative thinking. Students should understand multiplication and division as equal groups, see fractions as numbers, and connect area, perimeter, graphs, and two-step problems to clear reasoning.

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3rd Grade Knowledge Points

15 Topics ยท Common Core Aligned
  1. ๐ŸŸฆ
    01

    Area

    3.MD.C.5

    Measuring space with unit squares.

    Area Square Unit Tiling Length Width
  2. ๐Ÿ“Š
    02

    Reading and Building Bar Graphs

    3.MD.B.3

    Draw a scaled bar graph to represent a data set; solve one- and two-step problems using information presented in bar graphs.

    bar graph category scale tally compare
  3. โž—
    03

    Division

    3.OA.A.2

    Fair sharing, partitioning, and inverse of multiplication.

    Dividend Divisor Quotient Remainder Partition
  4. โš–๏ธ
    04

    Equivalent Fractions

    3.NF.A.3.b

    Recognize and generate simple equivalent fractions; explain why they are equivalent using a visual fraction model.

    equivalent numerator denominator split same amount
  5. ๐Ÿ“
    05

    Fractions on a Number Line

    3.NF.A.2

    Understand a fraction a/b as a number on the number line by partitioning [0, 1] into b equal parts and locating a copies of 1/b.

    number line interval partition denominator tick
  6. ๐Ÿ•
    06

    Fractions

    3.NF.A.1

    Visualizing parts of a whole, numerators and denominators.

    Numerator Denominator Unit Fraction Equal Parts Whole
  7. ๐Ÿ”„
    07

    Multiplication & Division Inverse Relationship

    3.OA.B.6

    Understand division as an unknown-factor problem: c รท a is the unknown b such that a ร— b = c.

    fact family inverse missing factor unknown quotient
  8. โš–๏ธ
    08

    Mass and Liquid Volume

    3.MD.A.2

    Measure and estimate liquid volumes and masses of objects using standard units (g, kg, mL, L). Add, subtract, multiply, or divide to solve one-step problems.

    mass volume gram kilogram liter
  9. โšก
    09

    Multiplication & Division Fluency

    3.OA.C.7

    Fluently multiply and divide within 100 by recall of derived facts and patterns in the times table.

    fact derived fact skip-count doubling recall
  10. โœ–๏ธ
    10

    Multiplication

    3.OA.A.1

    Equal groups, arrays, and commutative property.

    Factor Product Array Commutative Equal Groups
  11. ๐Ÿ“
    11

    Perimeter

    3.MD.D.8

    Measuring distance around polygons.

    Perimeter Side Length Polygon Boundary
  12. ๐Ÿงฎ
    12

    Properties of Operations

    3.OA.B.5

    Apply properties of operations as strategies to multiply and divide. Commutative, associative, and distributive properties.

    commutative distributive associative property factor
  13. โ—‡
    13

    Classifying Quadrilaterals

    3.G.A.1

    Understand that shapes in different categories may share attributes, and that the shared attributes can define a larger category.

    quadrilateral rhombus rectangle square parallel
  14. ๐ŸŽฏ
    14

    Rounding to the Nearest Ten or Hundred

    3.NBT.A.1

    Use place-value understanding to round whole numbers to the nearest 10 or 100.

    nearest halfway round up round down ten
  15. ๐Ÿชœ
    15

    Two-Step Word Problems

    3.OA.D.8

    Solve two-step word problems using the four operations; represent these problems using equations with a letter standing for the unknown quantity.

    two-step intermediate remaining total unknown

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