Chapter 6 · Consolidation and enhancement
Lesson 6.4 · Problem solving (2)
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:
- 01Write number sentences from diagrams.
- 02Identify incorrect number sentences among choices.
- 03Solve average and “move to make twice” problems.
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 |
|---|---|---|
| Modeling | Diagram → equation | G3 M1 |
Core Concepts
More multi-step comparison — diagrams, error analysis, averages.
From Diagrams
Baby monkey / adult monkey totals from a picture.
Spot Incorrect Sentences
Pine $56$; willows $= 2\times$ pines − 12 → which option is wrong?
Averages & Balance
Sister’s average kicks; Hua’s average; move chess pieces so first pile is twice the second.
Key Terms & Definitions (Reference)
Quick glossary for this lesson.
| Term | Definition |
|---|---|
| Average | Total equally shared per group/round. |
| Incorrect sentence | Equation that does not match the story. |
Key Answers
Quick reference for this lesson’s exercise answers.
Key answers
- Diagrams: (1) $32\times4+32=160$ monkeys;\; (2) $19\times4=76$ ink pens
- Number sentences: (1) $357\times3+357=1428$;\; (2) $357\div3+357=476$
- Multiple choice: (1) B ($23\times3+12$);\; (2) C (incorrect sentence);\; (3) C (uncertain)
- Maglev: $420-420\div7=360$ km more
- Insects / birds: birds $43$; butterflies more by $35$
- Farm: (1) $480$ fewer cows than pigs;\; (2) $240$ more pigs than sheep;\; (3) total $1080$
- Shuttlecock: average $45$ kicks
- Chess piles: move $8$ pieces
- Enhancement — rooms: art $30$; reading $42$ at first
- Enhancement — rope: second part $23$ m