Chapter 6 · Consolidation and enhancement
Lesson 6.2 · Multiplication and division (2)
Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition).
Lesson Alignment
How this Shanghai Maths lesson connects to learning goals, Common Core, and Eureka Math.
Learning Objectives
Students will be able to:
- 01Recover a dividend from divisor, quotient, and remainder.
- 02Compute mixed ×÷ fluency items.
- 03Solve track-length and drink-volume multi-step problems.
Common Core Standards
| Code | Standard (focus for this lesson) |
|---|---|
| 3.OA.A.3 | Multiply/divide to solve word problems. |
| 3.OA.D.8 | Two-step word problems. |
| 3.OA.C.7 | Fluently multiply and divide within 100. |
| 3.NBT.A.2 | Add/subtract within 1000. |
| 3.NBT.A.3 | Multiply one-digit × multiples of 10. |
Eureka Math Correspondence
| Shanghai Maths | Focus | Eureka Math |
|---|---|---|
| Relationship | d = v×q + r | G3 M1 |
Core Concepts
Deepen ×÷ fluency and multi-step measurement stories.
Division Relationship
$$\text{dividend} = \text{divisor} \times \text{quotient} + \text{remainder}$$
Example: divisor $65$, quotient $8$, remainder $9$.
Mixed Fluency
Column practice continuing from 6.1.
Track & Volume Stories
$400\ \text{m}$ lap — compare Xiao Ya’s and Xiao Dingding’s distances; cola bottles × mL; drinks left.
Key Terms & Definitions (Reference)
Quick glossary for this lesson.
| Term | Definition |
|---|---|
| Dividend / divisor / quotient / remainder | Parts of a division. |
| Lap | One full circuit of a track. |
Key Answers
Quick reference for this lesson’s exercise answers.
Key answers
- Column method: $430\times6=2580$;\; $620\div4=155$;\; $560\div8=70$;\; $537\div9=59\,\mathrm{r}\,6$
- Step by step: $462\times7+367=3601$;\; $780\times5-2564=1336$;\; $700-700\div5=560$;\; $658+328+572+142=1700$;\; $432+629+268-229=1100$
- Number sentences: (1) $1000\div8=125$;\; (2) $10\times10\div10=10$;\; (3) $465\times5=2325$
- Dividend: $65\times8+9=529$
- Applications
- (1) Drunk $1520$ ml; left $2280$ ml
- (2) $30$ years younger next year
- (3) ① Yes ($78\times6=468<500$); ② change $15$ yuan; ③ gave $300$ yuan
- (4) Xiao Ya $1600$ m; Dingding $6$ laps, $800$ m more; total $4000$ m
- Enhancement: footballs $10$; basketballs $30$
- Cryptarithm: $A=1$, $B=2$, $C=5$, $D=6$ ($125\times5=625$)