Chapter 7 · Consolidation and enhancement
Unit Test 7
Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 149–152).
Lesson Alignment
How this Shanghai Maths lesson connects to learning goals, Common Core, and Eureka Math.
Learning Objectives
Students will be able to:
- 01Demonstrate mental fluency. (Part 1)
- 02Find perimeter and area of a composite shape. (Part 2)
- 03Solve fraction MCQ and multi-step apps. (Part 3–4)
Common Core Standards
| Code | Standard (focus for this lesson) |
|---|---|
| 4.NBT.B.5 | Multiply. |
| 3.MD.D.8 | Perimeter. |
| 3.NF.A.1 | Fractions. |
Eureka Math Correspondence
| Shanghai Maths | Focus | Eureka Math |
|---|---|---|
| Unit test | Chapter 7 | G3 review |
Question–Lesson Map
Where each Unit Test 7 question was taught in Chapter 7 (Lessons 7.1–7.8).
| Test question | Focus | Taught in |
|---|---|---|
| 1. Mental calculation | Mixed ×÷/+− fluency across the year | 7.1 |
| 2. Column method | Large × and ÷ with remainders | 7.1 |
| 3. Step by step | Multi-step regrouping and large-number chains | 7.1 |
| 4. Number sentences | Phrase → equation; evaluate with remainder | 7.1 |
| 5. L-shape perimeter and area | Composite figure P and A (cm, cm²) | 7.4 |
| 6. Fill in the spaces | Area units; mass/speed; digit bounds for quotients; fraction 1/2; combinations count | 7.1, 7.2, 7.4, 7.8 |
| 7. Multiple choice | Fraction comparison; count triangles in a figure; choose correct statement | 7.2, 7.6 |
| 8. Application problems | Mass, distance, area, square side from area, two-method problems, ways to place objects | 7.3, 7.4, 7.5, 7.7, 7.8 |
Core Concepts
Mixed consolidation: fluency, P/A, fractions, applications.
Test Structure
Mental; shape P/A; fill-ins; MCQ; applications (two methods).
High-Frequency Focus
- Composite perimeter/area.
- Fraction comparison.
- Two methods when asked.
Key Terms & Definitions (Reference)
Quick glossary for this lesson.
| Term | Definition |
|---|---|
| Unit test | End-of-chapter assessment. |
Key Answers
Quick reference for this lesson’s exercise answers.
Key answers
- Mental: 80; 14; 5; 924; 68; 160; 120; 16.
- Column: 6068; 262300; 901 r 30.
- Step by step: 4; 8700; 100000; 531; 36.
- Sentences: 2404; 1.
- L-shape: P 64 cm; A 136 cm².
- Fill in: 1700 cm²; 38 kg; 65 m/min; max digit 3; for middle 0 use 1; 1 cm; 15 cm; P 36 cm; 3402; 1/2; 36 m; 6 choices.
- MCQ: C; B/C (count triangles carefully — often 16 or 18); D.
- Apps: 46 kg; 223 km; 225 m²; square 196 m²; 69 km; 27 ways; greatest P 42 cm.