Lesson 5.6 · Areas
Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 121–123).
Lesson Alignment
How this Shanghai Maths lesson connects to learning goals, Common Core, and Eureka Math.
Learning Objectives
Students will be able to:
- 01Measure area by counting unit grid squares.
- 02Find areas of rooms on a floor plan.
- 03Compare open spaces / figures on grids.
Common Core Standards
| Code | Standard (focus for this lesson) |
|---|---|
| 3.MD.C.5 | Recognize area as attribute. |
| 3.MD.C.6 | Measure area by counting unit squares. |
| 3.MD.C.7 | Relate area to multiplication/addition. |
Eureka Math Correspondence
| Shanghai Maths | Focus | Eureka Math |
|---|---|---|
| Area | Unit squares | G3 M4 |
Core Concepts
Area as covering with unit squares — before formulas.
Count Unit Squares
How many small squares does each figure occupy?
Floor Plans
Kitchen, bathroom, storage, balconies, whole home — count grid squares for each.
Compare Areas
Which figure has larger open space? Circle vs triangle claims — count carefully (partial squares).
Key Terms & Definitions (Reference)
Quick glossary for this lesson.
| Term | Definition |
|---|---|
| Area | Amount of surface a figure covers. |
| Unit square | One grid square used as the area unit. |
Key Answers
Quick reference for this lesson’s exercise answers.
1. F $9$; C $9$; D $11$; H $11$.
2. Floor plan — parents $20$; Xiao Pang $20$; lounge $18$; dining $19$; kitchen $12$; bathroom $12$; storage $2$; balconies $9$; total $112$.
3. $16$; $13$; $42$; same as Fig.1: $2,9,3$; Fig.5: $6$; Fig.7: $8,12,11,10$.
4. Any figures of $7$, $9$, $12$ squares.
5. $12$; $5.5$.
6. A; C.