Lesson 5.1 · Knowing kilometres
Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 106–108).
Lesson Alignment
How this Shanghai Maths lesson connects to learning goals, Common Core, and Eureka Math.
Learning Objectives
Students will be able to:
- 01Know that $1\ \text{km} = 1000\ \text{m}$.
- 02Convert and compare distances in km and m.
- 03Solve path / total-distance problems.
Common Core Standards
| Code | Standard (focus for this lesson) |
|---|---|
| 3.MD.A.2 | Measure/estimate lengths; solve problems. |
| 3.MD.B.4 | *(related)* Generate measurement data. |
| 4.MD.A.1 | *(preview)* Know relative sizes of km, m, cm. |
| 3.OA.D.8 | *(related)* Multi-step distance problems. |
Eureka Math Correspondence
| Shanghai Maths | Focus | Eureka Math |
|---|---|---|
| Metric length | km / m | G3 M2 / G4 M2 preview |
Core Concepts
Introduce the kilometre and convert with metres.
Kilometre
Use for longer distances (home → school → library).
Convert km ↔ m
Examples: $8\ \text{km}$, $4000\ \text{m}$, $5\ \text{km}+2\ \text{km}$, mixed $1\ \text{km}\ 780\ \text{m}$.
Applications
Order distances; total walk Home–School–Library ($1800\ \text{m}+1200\ \text{m}$).
Key Terms & Definitions (Reference)
Quick glossary for this lesson.
| Term | Definition |
|---|---|
| Kilometre (km) | Length unit for longer distances; $1\ \text{km}=1000\ \text{m}$. |
| Metre (m) | Basic metric length unit. |
Key Answers
Quick reference for this lesson’s exercise answers.
1. Fill in — $8\,\mathrm{km}=8000\,\mathrm{m}$; $12\,\mathrm{km}=12\,000\,\mathrm{m}$; $4000\,\mathrm{m}=4\,\mathrm{km}$; $5\,\mathrm{km}+2\,\mathrm{km}=7000\,\mathrm{m}$; $1\,\mathrm{km}\,780\,\mathrm{m}=1780\,\mathrm{m}$; $4\,\mathrm{km}\,26\,\mathrm{m}=4026\,\mathrm{m}$; $6\,\mathrm{km}+4000\,\mathrm{m}=10\,\mathrm{km}$; $30\,\mathrm{km}-14\,000\,\mathrm{m}=16\,000\,\mathrm{m}$; $10\,\mathrm{km}=10\,000\,\mathrm{m}$; $7000\,\mathrm{m}=7\,\mathrm{km}$; $4\,070\,000\,\mathrm{m}=4070\,\mathrm{km}$; $19\,\mathrm{km}-10\,000\,\mathrm{m}=9\,\mathrm{km}$.
2. Units — km; m; km; km; m; km.
3. Compare — >; <; <; =; >; >; >; =.
4. Order (greatest→least) — $5454\,\mathrm{m}>5\,\mathrm{km}>4545\,\mathrm{m}>4\,\mathrm{km}$;\; $20\,220\,\mathrm{m}>20\,202\,\mathrm{m}>10\,000\,\mathrm{m}>9\,\mathrm{km}\,900\,\mathrm{m}$.
5. MC — B; B; B; C; D.
6. $3\,\mathrm{km}$;\; $29\,228\,\mathrm{m}$ longer, total $44\,442\,\mathrm{m}$.
7. $225\,\mathrm{m/s}$;\; $18\,\mathrm{km/h}$.