Second Grade Mathematics
Unit 3
Number and Operations in Base Ten
Addition and Subtraction

Printable Parent Letter

During Unit 3, your child will build critical knowledge in the understanding of the base-ten numeration system and place-value concepts.  This includes ideas of counting in units of fives, tens and multiples of hundreds, tens and ones as well as a grasp of number relationships, which they will demonstrate in a variety of ways, including comparing and ordering numbers.  They will work to understand multi-digit numbers in terms of place-value recognizing that place-value notation is shorthand for representing amounts of hundreds, tens and ones.

Students need to:

  • Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones; e.g., 706 equals 7 hundreds, 0 tens, and 6 ones. Understand the following as special cases
    • 100 can be thought of as a bundle of ten tens — called a “hundred."
    • The numbers 100, 200, 300, 400, 500, 600, 700, 800, 900 refer to one, two, three, four, five, six, seven, eight, or nine hundreds (and 0 tens and 0 ones).
  • Read and write numbers to 1000 using base-ten numerals, number names, and expanded form.
  • Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits, using >, =, and < symbols to record the results of comparisons.
  • Count within 1000; skip-count by 5s, 10s, and 100s.
  • Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately. Example: If you have 2 dimes and 3 pennies, how many cents do you have?
  • Mentally add 10 or 100 to a given number 100–900, and mentally subtract 10 or 100 from a given number 100–900.
  • Add and subtract within 1000, using concrete models or drawings
    and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method. Understand that in adding or subtracting three-digit numbers, one adds or subtracts hundreds and hundreds, tens and tens, ones and ones; and sometimes it is necessary to compose or decompose tens or hundreds.

  • 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.
  • Fluently add and subtract within 20 using mental strategies. By end of Grade 2, know from memory all sums of two one-digit numbers.

Carroll County Public Schools Video Support

Heim Bar Models
Using Bar Models to Solve Word Problems

Writing Equations
Writing Equations Using an Organizer

Mills 3 Digit
Combining 3-Digit Numbers

Addintion with Drawings
Addition With Drawings

Mills 3 digit Number Line
Adding 3-Digit Numbers on Open Number Lines

Mills 3 digit regrouping
Adding 3-Digit Numbers with Regrouping

Heim Sub Number Line Mills Sub Number Line
Subtractions Using Open Number Lines

Mills Sub Regrouping
Subtraction with Models and Regrouping

Ways Parents Can Help

Help your child to make real world connections with money, addition and subtraction.

For example:

  • provide opportunities for your child to count dollar bills and coins (for example, money in a wallet, money to pay for something at the store, change received from a purchase)
  • help your child use addition or subtraction to solve real world problems (e.g. adding a bill, calculating change from a purchase… and have them explain why the addition or subtraction strategy they used worked

Some Support Sites



Key Vocabulary to Know




Equal To

Expanded Form

Greater Than

Half Dollar


Less Than



Number Line




Standard Form

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