Chapter 6 · Consolidation and enhancement
Lesson 6.7 · How large are they
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:
- 01Find areas by counting grid squares in $\text{cm}^2$.
- 02Use length/width relationships between rectangles.
- 03Reason about larger/smaller rectangles from clues.
Common Core Standards
| Code | Standard (focus for this lesson) |
|---|---|
| 3.MD.C.5–7 | Area concepts and rectangle area. |
| 3.MD.A.2 | *(related)* Measure/solve with units. |
Eureka Math Correspondence
| Shanghai Maths | Focus | Eureka Math |
|---|---|---|
| Area | Count & relate | G3 M4 |
Core Concepts
Area sense on grids — count and relate two rectangles.
Count Grid Squares
How many squares? How many square centimetres?
Rectangle Clues
Compare a larger and smaller rectangle using given side relationships.
Compare Rectangles
Fill missing length/width in metres from diagram labels.
Key Terms & Definitions (Reference)
Quick glossary for this lesson.
| Term | Definition |
|---|---|
| Grid square | Unit used to measure area on paper. |
| Square centimetre | $1\ \text{cm}\times1\ \text{cm}$ area. |
Key Answers
Quick reference for this lesson’s exercise answers.
Key answers
- Grid areas: (1) $15$ cm²;\; (2) $21$ cm²;\; (3) $6$ cm²;\; (4) $11$ cm²
- Compound figures: (1) $41$ cm²;\; (2) $68$ cm²
- Square → rectangle: side $5$ m, area $25$ m²; increased by $10$ m²; smaller rectangle $5$ m by $2$ m; larger $7$ m long, area $35$ m²
- Two offices: larger $42$ m²; smaller $28$ m²
- Four rectangles: $?=500$ cm²
- Squares A & B: A $144$ cm²; B $81$ cm²