Learning Stages

Work through each stage in order for the best results. Every stage includes explanations, tips, and practice exercises.

1

Single-Digit Addition

Master adding numbers 1 through 9 without carrying.

2

Addition With Carrying

Add single digits when the sum goes past 10.

3

Single-Digit Subtraction

Subtract numbers 1 through 9 without borrowing.

4

Subtraction With Borrowing

Subtract when the bottom digit is larger than the top.

5

Complements of Ten

Instantly find what pairs with a number to make 10.

6

Doubles and Near-Doubles

Use doubling patterns to add similar numbers quickly.

7

Two-Digit Plus Single (No Carry)

Add a single digit to a two-digit number when ones stay under 10.

8

Two-Digit Plus Single (With Carry)

Add a single digit when the ones column overflows.

9

Two-Digit Minus Single (No Borrow)

Subtract a single digit when the ones digit stays positive.

10

Two-Digit Minus Single (With Borrow)

Subtract a single digit when borrowing from the tens is required.

11

Two-Digit Addition (No Carry)

Add two two-digit numbers when both columns stay clean.

12

Two-Digit Addition (With Carry)

Add two-digit numbers when the ones or tens column overflows.

13

Two-Digit Subtraction (No Borrow)

Subtract two-digit numbers when each column subtracts cleanly.

14

Two-Digit Subtraction (With Borrow)

Subtract two-digit numbers requiring borrowing across columns.

15

Multiplication: 1, 2, 5, and 10

Master the easiest multiplication tables using patterns.

16

Multiplication: 3, 4, and 6

Learn the 3, 4, and 6 times tables using building blocks.

17

Multiplication: 7, 8, and 9

Conquer the hardest tables with finger tricks and complements.

18

Division Basics

Divide mentally using the inverse of multiplication.

19

Mixed Operations & Order

Combine addition, subtraction, multiplication, and division correctly.

20

Advanced Mental Math

Squares, estimation, percentages, and rapid calculation techniques.