Chapter 7 · Consolidation and enhancement
Lesson 7.8 · Mathematics plaza — placing apples
Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 147–148).
Lesson Alignment
How this Shanghai Maths lesson connects to learning goals, Common Core, and Eureka Math.
Learning Objectives
Students will be able to:
- 01List ways to place 3 shirts into 2 wardrobes. (Question 1)
- 02List ways to place 4 peaches onto 3 plates. (Question 2)
- 03Use a table to organise cases. (Question 1–2)
Common Core Standards
| Code | Standard (focus for this lesson) |
|---|---|
| 3.OA.D.8 | Organise multi-step cases. |
| MP.7 | Structure. |
Eureka Math Correspondence
| Shanghai Maths | Focus | Eureka Math |
|---|---|---|
| Distribute | Into groups | G3 plaza |
Core Concepts
Place items into boxes/plates; list all distributions.
Distribution Table
Columns for each container; rows for each way.
All Cases
Work systematically: (3,0), (2,1), (1,2), (0,3) for two wardrobes.
Allow Empty?
Check whether empty containers are allowed in the problem.
Key Terms & Definitions (Reference)
Quick glossary for this lesson.
| Term | Definition |
|---|---|
| Distribution | How items are placed into groups. |
| Case | One possible placement. |
Key Answers
Quick reference for this lesson’s exercise answers.
Key answers
- 4 ways: (0,3), (1,2), (2,1), (3,0).
- $C(4,2)=6$ choices.
- $C(3,2)=3$ combinations.
- 15 ways (identical peaches, distinct plates).
- At least 2 born in the same month.
- Take out 6 balls.
- Maximum 12 pupils.