Chapter 2 · Multiplying by a one-digit number
Lesson 2.6 · Multiplying a two-digit number by a one-digit number (3)
Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 27–29).
Lesson Alignment
How this Shanghai Maths lesson connects to learning goals, Common Core, and Eureka Math.
Learning Objectives
Students will be able to:
- 01Calculate mixed mental items involving × and +/−. (Question 1)
- 02Use column method and correct errors. (Question 2–4)
- 03Match sentences to products. (Question 5)
- 04Create and solve open multiplication sentences. (Enhancement)
Common Core Standards
| Code | Standard (focus for this lesson) |
|---|---|
| 3.OA.C.7 | Fluently multiply within 100. |
| 3.OA.D.8 | Two-step problems. |
| 3.NBT.A.3 | Multiples / multi-digit strategies. |
Eureka Math Correspondence
| Shanghai Maths | Focus | Eureka Math |
|---|---|---|
| Fluency | Two-digit × one-digit | G3 M3 |
| Enhancement | Digit constraints | Problem solving |
Core Concepts
Consolidate two-digit × one-digit — mental links, matching, and open number sentences.
Mental & Mixed Fluency
Combine multiplication with +/− using order of operations, e.g. $2 \times 8 + 4$, $9 \times 3 + 3$.
Match Products
Connect number sentences to answers ($33 \times 6$, $25 \times 7$, …) — reinforces fact fluency and algorithms.
Open Sentences & Digit Play
- Fill digits so a vertical product is true.
- Use 4, 5, 6 to write a two-digit × one-digit sentence and compute.
Key Terms & Definitions (Reference)
Quick glossary for this lesson.
| Term | Definition |
|---|---|
| Order of operations | × before +/−. |
| Open number sentence | Equation with missing digits/numbers. |
Key Answers
Quick reference for this lesson’s exercise answers.
Key answers
- Mental: $20$; $30$; $53$; $53$; $61$; $41$; $52$; $3$
- Column: $77×4=308$; $9×36=324$; $25×8=200$; $4×75=300$
- Estimate then calculate
- $49×7$: between $280$ and $350$; $=343$
- $75×6$: between $420$ and $480$; $=450$
- $88×8$: between $640$ and $720$; $=704$
- Corrections: $99×9=891$ (correct); $26×8=208$; $68×5=340$
- Match: $33×6=198$; $25×7=175$; $56×4=224$; $9×42=378$; $5×63=315$
- Applications: (1) $57×6=342$ yuan (2) $28×3=84$ kWh
- $190×8=1520$
- (sample) $65×4=260$