➕

Operations

Master addition, subtraction, multiplication, and division with whole numbers and beyond.

17
Topic Areas
108
Total Lessons
6
Grade Levels

Operations, grade by grade

Taught from Kindergarten through Grade 5. Each grade band below lists the skills its lessons teach, with one real problem from that band solved step by step.

Kindergarten–Grade 2

Taught through Addition (Grades K–2), Subtraction (Grades K–2), Mental Math (Grades 1–2) and Multiplication (Grade 2) — 53 lessons.

Worked example · Grade 1 Mental Math

39 + 6 = ?

  1. Break apart both numbers by place value.
  2. 39 = 30 + 9
  3. 6 = 0 + 6
  4. Add the tens: 30 + 0 = 30
  5. Add the ones: 9 + 6 = 15
  6. 15 ones = 1 ten and 5 ones (regrouping)
  7. Combine: 30 + 15 = 45

Answer: 45

More Grade 1 mental math

Grades 3–5

Taught through Multiplication (Grade 3), Division (Grades 3, 5), Multi-digit Addition (Grade 3), Multi-digit Subtraction (Grade 3), Mental Math (Grade 3), Multi-digit Multiplication (Grade 4) and Long Division (Grade 4) — 55 lessons.

Worked example · Grade 3 Multi-digit Subtraction

346 − 161 = ?

  1. Line up the numbers by place value and subtract each column from right to left.
  2. Ones: 6 − 1 = 5.
  3. Tens: 4 is less than 6, so borrow 1 from the hundreds: 14 − 6 = 8.
  4. Hundreds: 3 lent 1, so it is now 2. 2 − 1 = 1.
  5. 346 − 161 = 185

Answer: 185

More Grade 3 multi-digit subtraction

Frequently Asked Questions

In what order should kids learn math 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.

When should my child memorize math facts?

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.

How do I help my child with regrouping (carrying and borrowing)?

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.

Need help finding the right level?

Take our placement quiz to find exactly where your child should start.