Chapter 7 · Consolidation and enhancement
Lesson 7.1 · Multiplying and dividing
Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 126–128).
Lesson Alignment
How this Shanghai Maths lesson connects to learning goals, Common Core, and Eureka Math.
Learning Objectives
Students will be able to:
- 01Calculate column × and ÷ with checks. (Question 1)
- 02Write number sentences from language. (Question 2)
- 03Solve balance / mass MCQs. (Question 3)
Common Core Standards
| Code | Standard (focus for this lesson) |
|---|---|
| 4.NBT.B.5 | Multiply. |
| 4.NBT.B.6 | Divide. |
Eureka Math Correspondence
| Shanghai Maths | Focus | Eureka Math |
|---|---|---|
| Column | Review | G4 M3 |
| Sentences | Language→equation | G3 |
Core Concepts
Fluency with column multiplication and division; balance problems.
Column Fluency
Multiply and divide; check starred items.
Number Sentences
“Subtract the quotient of … from …” → write then calculate.
Balance Problems
Mass on a scale — find the missing weight.
Key Terms & Definitions (Reference)
Quick glossary for this lesson.
| Term | Definition |
|---|---|
| Column method | Standard vertical algorithm. |
| Check | Inverse operation. |
Key Answers
Quick reference for this lesson’s exercise answers.
Key answers
- Column: $25\times47=1175$; $508\times290=147320$; $340\times890=302600$; $958\div29=33$ r 1; $6760\div52=130$; $6860\div67=102$ r 26.
- Cards 8,7,5,4: e.g. greatest $84\times75=6300$; least $47\times58=2726$ (pairings using each digit once).
- Step by step: 1740; 584; 26; 37.
- Sentences: $625-(875\div25)=590$; $265\times14+100=3810$.
- Fill in: 9900; 4-digit quotient with 2 middle zeros (2002); $\triangle=24$, $\square=324$; one-digit quotient: 1–4; two-digit: 5–9.
- MCQ: B; A.
- Enhancement: greatest $52\times43=2236$, least $24\times35=840$; $12346\times67889$ is greater.