Lesson 5.9 · Square metres
Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 130–132).
Lesson Alignment
How this Shanghai Maths lesson connects to learning goals, Common Core, and Eureka Math.
Learning Objectives
Students will be able to:
- 01Know the square metre and relate to $\text{cm}^2$.
- 02Judge true/false about area, perimeter, and units.
- 03Solve large-area problems (wheat field yield).
Common Core Standards
| Code | Standard (focus for this lesson) |
|---|---|
| 3.MD.C.5 | Recognize area as attribute. |
| 3.MD.C.6 | Measure area by counting unit squares. |
| 3.MD.C.7 | Relate area to multiplication/addition. |
| 4.MD.A.3 | *(preview)* Apply area/perimeter formulas. |
Eureka Math Correspondence
| Shanghai Maths | Focus | Eureka Math |
|---|---|---|
| m² | Larger area unit | G3 M4 / real-world |
Core Concepts
Introduce $\text{m}^2$ for larger spaces and apply to fields.
Square Metre
Side $100\ \text{cm}$ → area $1\ \text{m}^2$.
Sense of Size
About one pupil can stand in $1\ \text{m}^2$. Perimeter stays fixed if the same wire forms different closed shapes — area can change.
Field Applications
Wheat field width $25\ \text{m}$, length = times width; yield per $\text{m}^2$ → total harvest.
Key Terms & Definitions (Reference)
Quick glossary for this lesson.
| Term | Definition |
|---|---|
| Square metre ($\text{m}^2$) | Area of a $1\ \text{m}$ by $1\ \text{m}$ square. |
| Perimeter | Distance around a figure. |
Key Answers
Quick reference for this lesson’s exercise answers.
1. $1$ square metre ($1\,\mathrm{m}^2$); $1$ square centimetre ($1\,\mathrm{cm}^2$).
2. Units — $\mathrm{m}^2$; $\mathrm{cm}^2$; $\mathrm{dm}^2$; m; $\mathrm{cm}^2$; $\mathrm{m}^2$; m; $\mathrm{cm}^2$.
3. $40\,\mathrm{m}^2$; $2500\,\mathrm{m}^2$; $18\,\mathrm{m}$.
4. T/F — ✕; ✓; ✓; ✓; ✓.
5–7. $2400\,\mathrm{m}^2$; $75$ yuan; $5000\,\mathrm{kg}$.
8–9. $176\,\mathrm{m}^2$; $640\,\mathrm{m}^2$.