Full 2nd Grade Math
Knowledge Points & Study Guide

The full 2nd 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 2nd Grade skill map

Grade 2 is where arithmetic starts to become strategic. Students should move beyond counting by ones, understand hundreds-tens-ones, use regrouping with meaning, and apply operations to money, time, measurement, arrays, and data.

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2nd grade math games online free 2nd grade place value games regrouping games 2nd grade addition and subtraction within 100 2nd grade money games telling time to 5 minutes games
1

Strengthen place value

Place value, skip counting, and arrays make the structure of numbers visible before longer calculations.

2nd Grade Knowledge Points

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

    Addition Within 100 (Regrouping)

    2.NBT.B.5

    Fluently add within 100 using strategies based on place value, properties of operations, and the relationship between addition and subtraction.

    Addend Sum Regroup Carry Tens Ones
  2. βž•
    02

    Add and Subtract within 100

    2.NBT.B.5

    Fluently add and subtract within 100 using strategies based on place value, properties of operations, and the relationship between addition and subtraction.

    ones tens sum difference regroup
  3. 🟦
    03

    Arrays and Repeated Addition

    2.OA.C.4

    Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and up to 5 columns; write equations expressing the total as a sum of equal addends.

    array row column equal addend total
  4. πŸ“Š
    04

    Picture and Bar Graphs (single-unit scale)

    2.MD.D.10

    Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories. Solve simple put-together, take-apart, and compare problems using information presented in a bar graph.

    category bar scale compare total
  5. πŸ“
    05

    Length Difference Problems

    2.MD.B.5

    Use addition and subtraction within 100 to solve word problems involving lengths given in the same units.

    difference longer shorter more less
  6. πŸ“
    06

    Measurement & Rulers (cm / inches)

    2.MD.A.1

    Measure the length of an object by selecting and using appropriate tools (rulers, yardsticks) and standard units.

    Length Ruler Centimetre Inch Unit Zero Mark
  7. πŸ’°
    07

    Counting Money (Dollars & Cents)

    2.MD.C.8

    Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and Β’ symbols appropriately.

    dollar cent quarter dime nickel penny
  8. ➑️
    08

    Add/Subtract on a Number Line

    2.MD.B.6

    Represent whole numbers as lengths from 0 on a number line; represent whole-number sums and differences within 100 on a number-line diagram.

    number line jump hop forward backward
  9. πŸ”Ÿ
    09

    Place Value (Up to 1000)

    2.NBT.A.1

    Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones.

    Hundreds Tens Ones Base-10 Expanded Form Digit Value
  10. πŸ”
    10

    Regrouping within 1000

    2.NBT.B.7

    Add and subtract within 1000 using concrete models or drawings and strategies based on place value; relate the strategy to a written method.

    regroup carry borrow hundred ten
  11. πŸ”·
    11

    Recognize Shapes (2D & 3D)

    2.G.A.1

    Recognize and draw shapes having specified attributes, such as a given number of angles or a given number of equal faces. Identify triangles, quadrilaterals, pentagons, hexagons, and cubes.

    pentagon hexagon cube face edge angle
  12. 🦘
    12

    Skip Counting by 5, 10, 100

    2.NBT.A.2

    Count within 1000; skip-count by 5s, 10s, and 100s, recognizing the additive pattern at each step.

    skip step multiple sequence pattern
  13. βž–
    13

    Subtraction Within 100 (Borrowing)

    2.NBT.B.5

    Fluently subtract within 100, including regrouping (borrowing) across the tens–ones boundary.

    Minuend Subtrahend Difference Regroup Borrow
  14. πŸ•
    14

    Telling Time to 5 Minutes (AM/PM)

    2.MD.C.7

    Tell and write time from analog and digital clocks to the nearest five minutes, using a.m. and p.m.

    hour minute AM PM quarter past half past

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