Chapter 2 · Multiplying and dividing by two-digit numbers
Lesson 2.13 · Dividing multi-digit numbers by a two-digit number (1)
Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 58–60).
Lesson Alignment
How this Shanghai Maths lesson connects to learning goals, Common Core, and Eureka Math.
Learning Objectives
Students will be able to:
- 01Divide multi-digit by two-digit using column method. (Question 1)
- 02Estimate using compatible numbers ($38\times50$). (Question 2)
- 03Solve minimum boats / rafts (round up). (Question 3)
Common Core Standards
| Code | Standard (focus for this lesson) |
|---|---|
| 4.NBT.B.6 | Find whole-number quotients with four-digit dividends. |
| 3.OA.D.8 | Multi-step grouping problems. |
Eureka Math Correspondence
| Shanghai Maths | Focus | Eureka Math |
|---|---|---|
| Multi-digit | 2128÷38 | G4 M3 |
| Rafts | Round up people | G3 M3 |
Core Concepts
Extend to $204 \div 12$, $2128 \div 38$; minimum rafts needed.
Multi-Digit ÷
More digits in dividend — same column steps, more rounds.
Estimate
$38 \times 50 \approx 1900$ to guess quotient near 50.
Minimum Rafts
Rooms × people ÷ capacity per raft → round up for leftover people.
Key Terms & Definitions (Reference)
Quick glossary for this lesson.
| Term | Definition |
|---|---|
| Compatible numbers | Numbers easy to multiply mentally. |
| Minimum groups | Round up when remainder ≠ 0. |
Key Answers
Quick reference for this lesson’s exercise answers.
1. Fill in / let’s try
- $204\div12=17$;\; $2128\div38=56$
- $500\div20=25$;\; $500\div30=16\cdots20$;\; $500\div40=12\cdots20$
2. Column method
- $999\div13=76\cdots11$;\; $999\div23=43\cdots10$;\; $999\div33=30\cdots9$
- $999\div43=23\cdots10$;\; $999\div53=18\cdots45$;\; $999\div83=12\cdots3$
3. Patterns $\square35\div35$
- $135\div35=3\cdots30$ … $935\div35=26\cdots25$
- Hundreds $1$–$3$: $1$-digit quotient; $4$–$9$: $2$-digit quotient
4. Fill in brackets
- $2$-digit; tens place
- $1$-digit; digit $7$
- Smallest fill $3$
- Greatest fill $3$
5. Application
- $1400$ pine cones; $7$ more cans
- $64\,\text{min}$ round trip
6. Enhancement
- $516\div26=19\cdots22$;\; $990\div38=26\cdots2$