Chapter 7 · Consolidation and enhancement
Lesson 7.3 · Problem solving
Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 132–135).
Lesson Alignment
How this Shanghai Maths lesson connects to learning goals, Common Core, and Eureka Math.
Learning Objectives
Students will be able to:
- 01Solve “times as many” remaining-part problems. (Question 1)
- 02Find maglev / production rates. (Question 2–3)
- 03Plan group sizes and awards. (Question 4)
Common Core Standards
| Code | Standard (focus for this lesson) |
|---|---|
| 3.OA.D.8 | Multi-step problems. |
| 3.OA.A.3 | Multiply/divide stories. |
Eureka Math Correspondence
| Shanghai Maths | Focus | Eureka Math |
|---|---|---|
| Bar model | Times as many | G3 M3 |
| Rate | Speed / day | G3 M7 |
Core Concepts
Road repair, speed, production, and camp grouping stories.
Times as Many
Repaired 156 m; remaining is 5 times repaired → total = $156 + 5\times156$.
Rates
Speed and production-per-day stories — multiply or divide carefully.
Grouping
420 pupils, 30 per class → classes; then “not in competition”.
Key Terms & Definitions (Reference)
Quick glossary for this lesson.
| Term | Definition |
|---|---|
| Times as many | Multiplicative comparison. |
| Rate | Amount per unit time. |
Key Answers
Quick reference for this lesson’s exercise answers.
Key answers
- 936 m.
- 198 stamps.
- 1568 yuan.
- 290 boxes left.
- 430 km/h.
- 36 900 bicycles in June; 60 days.
- (1) 380 books; (2) No ($16\times12=192<195$).
- (1) 360 pupils; (2) 4 times; (3) 28 fewer girls.
- Original water 2 kg.
- Original vegetables 52 kg.