Chapter 2 · Multiplying and dividing by two-digit numbers
Lesson 2.11 · Dividing two-digit or three-digit numbers by a two-digit number (3)
Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 52–54).
Lesson Alignment
How this Shanghai Maths lesson connects to learning goals, Common Core, and Eureka Math.
Learning Objectives
Students will be able to:
- 01Adjust trial quotient when first digits are alike. (Question 1)
- 02Divide with divisors like 28, 32, … (Question 2)
- 03Solve area / width problems from length. (Question 3–4)
Common Core Standards
| Code | Standard (focus for this lesson) |
|---|---|
| 4.NBT.B.6 | Division strategies. |
| 3.MD.C.7 | Area and missing side. |
Eureka Math Correspondence
| Shanghai Maths | Focus | Eureka Math |
|---|---|---|
| Trial | Same leading digit | G4 M3 |
| Area | 196 m², length 28 | G3 M4 |
Core Concepts
When first digits match, use smaller trial quotient (e.g. 220÷30).
Trial Quotient
Both have same first digit → try a smaller quotient first.
Adjust Down
$220 \div 30$: try 5, not 7 — $30 \times 7$ too big.
Area Problems
Area ÷ length = width; compare width and length.
Key Terms & Definitions (Reference)
Quick glossary for this lesson.
| Term | Definition |
|---|---|
| Leading digit | First digit of dividend and divisor. |
| Adjust quotient | Reduce trial if product too large. |
Key Answers
Quick reference for this lesson’s exercise answers.
1. Let’s try
- $89\div28=3\cdots5$
- $80\div28=2\cdots24$
- $421\div57=7\cdots22$
- $134\div19=7\cdots1$
- $222\div28=7\cdots26$
- $738\div78=9\cdots36$
2. Column method
- $88\div22=4$;\; $72\div36=2$;\; $38\div19=2$
- $188\div22=8\cdots12$;\; $272\div36=7\cdots20$;\; $138\div19=7\cdots5$
3. Number sentences
- $656\div82=8$
- $413\div59=7$
4. Application
- $21\,\text{m}$ shorter
- $870$;\; $6$ times; remainder $90$
- $3$ weeks $4$ days
5. Enhancement (sample fills)
- $674\div16=42\cdots2$;\; $213\div22=9\cdots15$