Chapter 2 · Multiplying and dividing by two-digit numbers
Lesson 2.10 · Dividing two-digit or three-digit numbers by a two-digit number (2)
Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 49–51).
Lesson Alignment
How this Shanghai Maths lesson connects to learning goals, Common Core, and Eureka Math.
Learning Objectives
Students will be able to:
- 01Calculate multi-digit ÷ two-digit with column method. (Question 1–2)
- 02Solve how many boats / vehicles needed (round up). (Question 3)
- 03Check multiply back: divisor × quotient + remainder. (Question 4)
Common Core Standards
| Code | Standard (focus for this lesson) |
|---|---|
| 4.NBT.B.6 | Division with two-digit divisors. |
| 3.OA.D.8 | Multi-step problems. |
Eureka Math Correspondence
| Shanghai Maths | Focus | Eureka Math |
|---|---|---|
| Column | 3817÷66 | G4 M3 |
| Boats | Round up groups | G3 M3 |
Core Concepts
More two-digit division; packing pupils into boats.
Column Fluency
Practice $321 \div 56$, $3817 \div 66$ — record remainder.
Round Up
182 pupils, 12 per boat → quotient + 1 if remainder ≠ 0.
Check Division
$divisor \times quotient + remainder = dividend$.
Key Terms & Definitions (Reference)
Quick glossary for this lesson.
| Term | Definition |
|---|---|
| Round up | Add one group when items left over. |
| Inverse check | Use multiplication to verify division. |
Key Answers
Quick reference for this lesson’s exercise answers.
1. Let’s try (adjust quotient)
- $480\div63=7\cdots39$
- $369\div93=3\cdots90$
- $334\div43=7\cdots33$
2. Column method
- $500\div89=5\cdots55$;\; $321\div56=5\cdots41$;\; $317\div66=4\cdots53$
- $84\div22=3\cdots18$;\; $178\div22=8\cdots2$;\; $453\div57=7\cdots54$
3. Greatest in ( )
- $30\times(6)<207$;\; $60\times(6)<415$;\; $40\times(7)<316$
- $70\times(8)<566$;\; $50\times(8)<410$;\; $80\times(9)<768$
4. Number sentences
- $192\div32=6$
- $344\div43=8$
5. Application
- $32$ boxes; $8$ boxes
- $18$ boats
- $11$ more days
6. Enhancement
Tunnel: $40\,\text{s}$