Chapter 6 · Consolidation and enhancement
Unit Test 6
Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition).
Lesson Alignment
Unit Test 6 reviews consolidation lessons and earlier chapters.
Learning Objectives
Students will be able to:
- 01Compute mental and column items across Chapters 1–6 skills.
- 02Solve interval, symmetry, and area items.
- 03Check reasonableness.
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. |
| 3.MD.C.5–7 | Area concepts and rectangle area. |
| 3.MD.A.2 | *(related)* Measure/solve with units. |
| 3.G.A.2 | Partition shapes. |
| 4.G.A.3 | *(preview)* Line symmetry. |
Eureka Math Correspondence
| Shanghai Maths | Focus | Eureka Math |
|---|---|---|
| Unit test | Chapter 6 + prior | Consolidation |
Question–Lesson Map
Where each Unit Test 6 question was taught in Chapter 6 (Lessons 6.1–6.11).
| Test question | Focus | Taught in |
|---|---|---|
| 1. Mental calculation | Mixed ×÷/+−; brackets; mental fluency across prior chapters | 6.1, 6.2 |
| 2. Column method | Column +/−/×/÷ with remainders; check reasonableness | 6.1, 6.2 |
| 3. Step by step | Multi-step regrouping; large-number chains | 6.2 |
| 4. Fill in the brackets | Greatest/least difference with digits; compare expressions; units; pattern in a sequence | 6.1, 6.2, 6.5, 6.10 |
| 5. Application problems | Cuts vs pieces; corridor intervals; reading rate; pay and change stories | 6.3, 6.4, 6.5, 6.9 |
| 6. Symmetry | Complete the mirror half of a symmetric figure | 6.6 |
| 7. Area | Find area of a composite figure (cm²) | 6.7, 6.8 |
| 8. Subtraction towers | Follow flowchart/tower subtraction to top value | 6.11 |
Core Concepts
Assessment map for Consolidation and enhancement.
Fluency
Mental ×÷/+−; column with checks; least difference with given digits.
Problem Types
- Sawing timber (cuts vs pieces).
- Pots along a corridor (intervals).
- Draw other half of a symmetric figure.
- Find area of a composite figure.
Key Terms & Definitions (Reference)
Quick glossary for this lesson.
| Term | Definition |
|---|---|
| Consolidation | Review and strengthen prior skills. |
| Enhancement | Harder / richer problems. |
Key Answers
Quick reference for this lesson’s exercise answers.
Key answers
- Mental: $4$;\; $10$;\; $300$;\; $540$;\; $70+(50)=120$;\; $720\div(80)=9$;\; $400$;\; $(10)\times8=80$
- Column: $4795$;\; $180$;\; $128$;\; $40\,\mathrm{r}\,5$;\; $3760$;\; $150\,\mathrm{r}\,3$
- Step by step: $879$;\; $160$;\; $8100$;\; $16$;\; $233$;\; $78000$
- Fill brackets
- (1) greatest difference $864$ ($987-123$)
- (2) $3$-level tower
- (3) $54$th is $8$; sum $310$
- (4) e.g. $216$ and $187$; least difference $29$
- (5) $50$;\; $700$;\; $240$
- (6) $<$;\; $>$;\; $<$;\; $>$;\; $>$;\; $<$
- (7) cm; g; cm; m; kg; yuan; m and cm; km/h
- (8) $12$ km;\; $3000$ m;\; $80000$ m;\; $60$ kg;\; $1$ km $502$ m;\; $30$ dm $0$ cm $7$ mm
- Applications: (1) $4$ cuts;\; (2) $36$ m;\; (3) $15$ min;\; (4) corridor $60$ m;\; (5) $67$ words/min;\; (6) pay $182$ yuan; $+54$ yuan; left $164$ yuan
- Symmetry: complete the mirror half
- Area: $176$ cm²
- Subtraction towers: top $3,5,1$ → $2,4$ → $2$; top $3,1,9$ → $2,8$ → $6$