Chapter 2 · Multiplying and dividing by two-digit numbers
Lesson 2.6 · Multiplying a three-digit number by a two-digit number (1)
Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 37–39).
Lesson Alignment
How this Shanghai Maths lesson connects to learning goals, Common Core, and Eureka Math.
Learning Objectives
Students will be able to:
- 01Multiply three-digit × two-digit using column method. (Question 1)
- 02Align partial products by place value. (Question 2)
- 03Solve price comparison applications. (Question 3)
Common Core Standards
| Code | Standard (focus for this lesson) |
|---|---|
| 4.NBT.B.5 | Multiply up to four-digit by one-digit; extend to two-digit. |
| 3.OA.D.8 | Multi-step money problems. |
Eureka Math Correspondence
| Shanghai Maths | Focus | Eureka Math |
|---|---|---|
| Column | 357×__ | G4 M3 |
| Money | Microwave + fridge | G3 M3 |
Core Concepts
Three-digit × two-digit column; place-value alignment.
Column Method
Same as two-digit × two-digit, but first factor has hundreds digit.
Place Value
Shift tens partial product one place left before adding.
Money Problems
“124 yuan less than 17 times the microwave” — two-step total cost.
Key Terms & Definitions (Reference)
Quick glossary for this lesson.
| Term | Definition |
|---|---|
| Three-digit number | 100–999. |
| Partial product | Part of the full product. |
Key Answers
Quick reference for this lesson’s exercise answers.
1. Mental (around $125$)
- $125\times3=375$ … $125\times11=1375$ (and related sums as on the page)
2. Estimate then calculate
$229\times67=15343$
3. Column fill-in
$418\times65=27170$;\; $123\times5=615$,\; $123\times40=492$
4. Column method
- $357\times89=31773$;\; $256\times19=4864$;\; $555\times99=54945$;\; $188\times62=11656$
5. Number sentences
- $222\times55=12210$
- $999\times99=98901$
6. Application
Fridge $6659$ yuan; together $7058$ yuan
7. Enhancement
- $n5\times n5$: $25,225,625,1225,2025,3025,4225,5625,7225,9025$
- $150$ seconds more
- Convoy length $514\,\text{m}$