Ethan Mastered 4-Digit Multiplication with Carrying at Age 3!

Ethan Ruizhe Cao (Daddy Levin Cao)


Ethan Ruizhe Cao (Daddy Levin Cao)
Ethan absolutely loves learning—especially math, sports, reading, and exploring the world!
This week, he proudly completed Lesson 11 of the 16-lesson Grade 2 Montessori Sensory Exploration Course.
✨ He has now mastered 4-digit multiplication, including both carrying and non-carrying methods!
Ethan completed the full Grade 1 curriculum back on March 30, 2025.
At this pace, he’s on track to complete more than half of Grade 3 by the end of this year.
By next year, he will have completed Grade 4.
Here’s how Ethan learns:
- Grade 1 was taken in a small group class.
- Until now, Ethan has taken all his Grade 2 lessons as private tutoring.
- For the remaining lessons, he will attend both private sessions and small group classes—reviewing each lesson twice for deeper understanding and more peer interaction.
Although the Montessori Sensory Exploration Course is taught in Chinese, Ethan is also learning to express and understand math concepts in English.
🌱 Montessori Sensory Exploration Course Overview
Grade 1 (Ages 3.5–4.5)
- Sensory-based games for number and quantity understanding
- Number writing practice
- Introduction to 2D and 3D shapes
- Skip counting up to 10; recognizing odd and even numbers
- Understanding number bonds and decomposition
- Concept of “equal” (e.g. “they are the same amount”)
- Counting backwards within 20
- …and more
Grade 2 (Ages 4.5–5)
- Fluency with numbers up to 100
- Understanding and mastering 3- and 4-digit numbers
- Ordered number patterns and combinations
- Addition with and without carrying
- Multiplication with and without carrying
- Subtraction with and without borrowing
- Division with and without regrouping
- …and more
Grade 3 (Ages 5–5.5)
- Further learning of the four basic operations
- Multiplication tables
- Introduction to fractions
- Reading clocks and calendars
- …and more
Grade 4 (Ages 5.5+)
- Complex logic games
- Concept of square numbers
- Mixed addition and subtraction
- Multi-carry addition and multiplication
- Column-style calculation
- Intro to mental math
- Decimal addition (non-carry, carry, multi-carry)
- …and more