Unit Test 5
Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 133–136).
Lesson Alignment
Unit Test 5 reviews Chapter 5 — measurement, symmetry, triangles, and area.
Learning Objectives
Students will be able to:
- 01Convert and compare metric lengths; compute fluently.
- 02Apply symmetry and triangle classification language.
- 03Solve area problems including walls with windows.
- 04Check units ($\text{cm}^2$ vs $\text{m}^2$).
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.G.A.1 | Understand shared attributes of shapes. |
| 4.G.A.2 | *(preview)* Classify figures; lines of symmetry. |
| 4.G.A.3 | *(preview)* Line symmetry. |
| 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. |
Eureka Math Correspondence
| Shanghai Maths | Focus | Eureka Math |
|---|---|---|
| All Chapter 5 | Geometry & area | G3 M4 / M7 |
| Applications | Composite area | Problem solving |
Question–Lesson Map
Where each Unit Test 5 question was taught in Chapter 5 (Lessons 5.1–5.9).
| Test question | Focus | Taught in |
|---|---|---|
| 1. Mental calculation | Warm-up +/−/×/÷ fluency at start of geometry chapter | 5.1 |
| 2. Column method | Column +/−/×/÷ review with geometry chapter | 5.1 |
| 3. Step by step | Multi-step computation review | 5.1 |
| 4. Fill in the spaces | Length units (km, m, cm, dm); area units; rectangle area; equilateral/regular; symmetry counts | 5.1, 5.2, 5.3, 5.4, 5.5, 5.6, 5.9 |
| 5. Triangles | Classify acute/obtuse/right; identify isosceles | 5.5 |
| 6. True or false | Length/area unit facts; symmetry properties; triangle names | 5.4, 5.5, 5.6 |
| 7. Multiple choice | Choose correct unit, symmetry count, or area statement | 5.1, 5.4, 5.7, 5.9 |
| 8–10. Area diagrams | Find rectangle areas; identify isosceles pairs; shaded grid area | 5.5, 5.6, 5.7, 5.8, 5.9 |
| 11. Application problems | Paper rectangle; wall − windows; composite areas; unit conversion (cm², dm², m²) | 5.7, 5.8, 5.9 |
Core Concepts
Assessment map for Let's practise geometry.
Fluency & Measures
- Mental +/−/×/÷ warm-ups.
- Length sense (cucumber ≈ 2 __).
- Rectangle area fill-ins.
Symmetry & Triangles
Lines of symmetry; equilateral also called …; isosceles symmetry count.
Area Problems
| Type | Think |
|---|---|
| Paper rectangle | Find length from width clue; then area |
| Wall − windows | Wall area − 2 square windows |
Key Terms & Definitions (Reference)
Quick glossary for this lesson.
| Term | Definition |
|---|---|
| Kilometre / metre / decimetre / centimetre | Metric length units. |
| Area | Covering measure ($\text{cm}^2$, $\text{m}^2$). |
| Line of symmetry | Mirror line of a figure. |
Key Answers
Quick reference for this lesson’s exercise answers.
1. Mental — $500$; $4$; $50$; $2400$; $190$; $350$; $1$; $60$.
2. Column — $2634$; $6000$; $3156$; $63$; $76$; $57\,\mathrm{r}\,1$.
3. Step — $913$; $1710$; $7000$.
4. Fill in — $800\,\mathrm{cm}$; $90\,\mathrm{km}$; $5$ laps; $1\,\mathrm{m}$, $1\,\mathrm{m}^2$; cm; km; $\mathrm{m}^2$; cm; dm; $60\,\mathrm{cm}^2$; equilateral · regular; $4$; $2$.
5. Triangles — acute A,C,D; obtuse E; isosceles D; right B,F.
6. T/F — ✓; ✕; ✕; ✓.
7. MC — D; B; B; B.
8–10. $180\,\mathrm{m}^2$, $81\,\mathrm{m}^2$; both isosceles; shaded $9$, $9$.
11. $4140\,\mathrm{cm}^2$; $10\,000\,\mathrm{dm}^2$; $1200\,\mathrm{cm}^2$; $180$; $100\,\mathrm{cm}^2$ & $96\,\mathrm{cm}^2$; $24\,\mathrm{m}^2$; $256\,\mathrm{m}^2$; $72\,\mathrm{cm}^2$.