Numbers & Quantity
Counting → Place Value
"If you can count to 10, you can count to 100."
Minimal Example
A child counts to 10. Ask: What is 10 tens? Answer: 100. You just did multiplication.
One-Line Rule
"See repeated actions as a larger unit."
Common Misconception vs Correct Understanding
Multiplication is memorized.
Multiplication is faster counting.
🌱 Growth Steps (Natural Evolution)
Count to 10: Establish units and order
✨ Starting Point: Growth begins here
如果你能 ↑ 那么你就能 ↓
Ten ones make ten: Introduce place value
如果你能 ↑ 那么你就能 ↓
Multi-digit addition/subtraction: Position and carrying rules
如果你能 ↑ 那么你就能 ↓
Multiplication = unit × count: Compressed representation
如果你能 ↑ 那么你就能 ↓
Powers/Scientific notation: Extension of base-10 logic
SAT Example Question
Question:
If a number has 3 in the tens place and 7 in the ones place, how much larger is it than twice its ones digit?
Answer:
23
Explanation:
30 + 7 - 2×7 = 30 - 7 = 23
Practice Questions
5 questions with multiple solution methods
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