Chapter 6 · Consolidation and enhancement
Lesson 6.3 · Problem solving (1)
Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition).
Lesson Alignment
How this Shanghai Maths lesson connects to learning goals, Common Core, and Eureka Math.
Learning Objectives
Students will be able to:
- 01Model “3 times as many” stories with number sentences.
- 02Solve with at least two different methods.
- 03Chain comparisons (fewer than / times as many).
Common Core Standards
| Code | Standard (focus for this lesson) |
|---|---|
| 3.OA.A.3 | Multiply/divide to solve word problems. |
| 3.OA.D.8 | Two-step word problems. |
| 3.OA.C.7 | Fluently multiply and divide within 100. |
| 3.NBT.A.2 | Add/subtract within 1000. |
| 3.NBT.A.3 | Multiply one-digit × multiples of 10. |
Eureka Math Correspondence
| Shanghai Maths | Focus | Eureka Math |
|---|---|---|
| Comparison | Times as many | G3 M1 / M3 |
Core Concepts
Problem solving with multiplicative comparison — show two methods.
“Times as Many”
34 rabbit lanterns; ball lanterns = $3\times$ rabbits → total and difference.
Two Methods
Method I and Method II for the same question (e.g. $34+34\times3$ vs $34\times4$).
Chained Comparisons
Stamps: Dingding $24$ (= Ya − 8); Pang = $3\times$ Ya → find Pang’s stamps.
Key Terms & Definitions (Reference)
Quick glossary for this lesson.
| Term | Definition |
|---|---|
| Times as many | One quantity is a multiple of another. |
| Two methods | Different number sentences, same result. |
Key Answers
Quick reference for this lesson’s exercise answers.
Key answers
- Diagrams: (1) $7\times5+7=42$ boxes;\; (2) $9\times2+7=25$ lilies
- Storybooks: $48\times3+15=159$
- Father’s age: $11\times4-5=39$
- Lanterns: (1) $34\times3+34=136$;\; (2) $102-34=68$ more ball lanterns
- Ages: (1) Mum $9\times4=36$;\; (2) Xiao Ming $36\div4=9$
- Stamps: Ya $24+8=32$; Pang $32\times3=96$
- Science books: $36\times4=144$ copies
- Trees by lake: (1) sycamore+willow $730+360=1090$;\; (2) $20$ fewer camphor than sycamore
- Enhancement: willow $289$; sycamore $576$ (pattern W–S–S)