Operations

The standard progression is: addition (K-1st), subtraction (K-1st), multiplication (2nd-3rd), then division (3rd-4th). Within each operation, start with single digits, progress to multi-digit, then combine operations. Mastery of each operation is essential before moving to the next.

Addition and subtraction facts should be memorized by end of second grade. Multiplication and division facts should be memorized by end of third grade. "Memorized" means instant recall (within 3 seconds). Use a combination of strategies, games, and short daily practice to build automaticity.

Use base-ten blocks or place value charts to show physically what happens when you regroup. For example, show that 10 ones become 1 ten. Practice with manipulatives first, then transition to written methods. Understanding why regrouping works prevents common errors.