Lesson 5.2 · Metres and centimetres
Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 109–111).
Lesson Alignment
How this Shanghai Maths lesson connects to learning goals, Common Core, and Eureka Math.
Learning Objectives
Students will be able to:
- 01Know $1\ \text{m} = 100\ \text{cm}$.
- 02Convert and compare mixed metre–centimetre lengths.
- 03Solve ribbon / length word 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. |
Eureka Math Correspondence
| Shanghai Maths | Focus | Eureka Math |
|---|---|---|
| m / cm | Conversions | G2 M7 / G3 M2 |
Core Concepts
Work fluently between metres and centimetres.
Metre & Centimetre
Convert & Compare
$810\ \text{cm}$ vs $81\ \text{m}$; $6\ \text{m}\ 57\ \text{cm}$ vs $675\ \text{cm}$; add $28\ \text{m}+500\ \text{cm}$.
Applications
Ribbon $800\ \text{cm}$ plus another length — answer in cm and m.
Key Terms & Definitions (Reference)
Quick glossary for this lesson.
| Term | Definition |
|---|---|
| Centimetre (cm) | Smaller length unit; $100\ \text{cm}=1\ \text{m}$. |
| Mixed length | e.g. $3\ \text{m}\ 60\ \text{cm}$. |
Key Answers
Quick reference for this lesson’s exercise answers.
1. Fill in — $100$; $900$; $2000$; $7$; $14$; $10$; $50$; $130$; $226$; $30\,000$; $1\,\mathrm{m}\,7\,\mathrm{cm}$; $2\,\mathrm{m}\,3\,\mathrm{cm}$.
2. $432$; $163$; $350$ cm.
3. Units — cm; m; m · cm; m; m; cm; cm; m.
4. Compare — <; <; <; =; =; >; <; =.
5. MC — C; C.
6. Order — $340\,\mathrm{cm}<1000\,\mathrm{cm}<11\,\mathrm{m}\,98\,\mathrm{cm}<12\,\mathrm{m}$;\; $4\,\mathrm{m}\,90\,\mathrm{cm}<40\,\mathrm{m}\,9\,\mathrm{cm}<4090\,\mathrm{cm}<49\,\mathrm{m}$.
7. $600\,\mathrm{cm}$, $6\,\mathrm{m}$;\; $90\,\mathrm{cm}$.
8. $145\,\mathrm{cm}$;\; $20\,\mathrm{cm}$;\; $2\,\mathrm{m}$.