Chapter 4 · Dividing by a one-digit number
Lesson 4.6 · Dividing a two-digit number by a one-digit number (5)
Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 76–78).
Lesson Alignment
How this Shanghai Maths lesson connects to learning goals, Common Core, and Eureka Math.
Learning Objectives
Students will be able to:
- 01Solve rate problems (wontons per minute → time for 96).
- 02Divide mixed groups into equal teams.
- 03Use proportional thinking with packs of balls / sweets.
Common Core Standards
| Code | Standard (focus for this lesson) |
|---|---|
| 3.OA.A.2 | Interpret whole-number quotients. |
| 3.OA.A.3 | Multiply/divide within 100 to solve word problems. |
| 3.OA.B.5 | Apply properties of operations. |
| 3.OA.B.6 | Understand division as unknown-factor. |
| 3.OA.C.7 | Fluently multiply and divide within 100. |
| 3.OA.D.8 | Two-step word problems. |
| 3.MD.A.1 | *(related)* Time rates. |
Eureka Math Correspondence
| Shanghai Maths | Focus | Eureka Math |
|---|---|---|
| Applications | ÷ word problems | G3 M1 / M3 |
Core Concepts
Consolidate two-digit ÷ one-digit through rich applications.
Rates & Sharing
$8$ wontons/min → time for $96$: $96 \div 8$. Girls + boys into groups of 4.
Multi-Step Stories
Empty cans + sweets packing; combine conditions carefully.
Unit Price Links
6 balls for 30 yuan → how many for 90 yuan; cost of 12 balls.
Key Terms & Definitions (Reference)
Quick glossary for this lesson.
| Term | Definition |
|---|---|
| Dividend | The number being divided. |
| Divisor | The number you divide by. |
| Quotient | The result of division. |
| Remainder | What is left after equal groups are made. |
| Relationship | dividend = divisor × quotient + remainder |
| Rate | Amount per unit time (or per pack). |
Key Answers
Quick reference for this lesson’s exercise answers.
1. Mental calculation
- $30\times2=60$,\; $46\div2=23$,\; $21\times3=63$,\; $80\div4=20$
- $120\times3=360$,\; $300\times5=1500$,\; $840\div4=210$,\; $50\times4=200$
- $9000\div3=3000$,\; $60\div9=6\ldots6$,\; $240\div6=40$,\; $500\times9=4500$
- $2000\times4=8000$,\; $1000\times7=7000$,\; $2000\div5=400$,\; $10000\div5=2000$
2. Column method (check)
- $58\div4=14\ldots2$,\; $61\div2=30\ldots1$,\; $92\div5=18\ldots2$
- $37\div3=12\ldots1$,\; $97\div6=16\ldots1$,\; $74\div7=10\ldots4$
3. Application problems
- $16$ black sheep
- $9$ days
- $12$ minutes
- $21$ groups
- Yes;\; $6$ empty cans left
- $21$ pages each day (remaining $6$ days)
- $60$ yuan for $12$ balls;\; $18$ balls for $90$ yuan
4–5. Enhancement
- $31\div7=4\ldots3$;\; $31\div4=7\ldots3$
- $39\div7=5\ldots4$;\; e.g. $71\div8=8\ldots7$