Chapter 6 · Let's practise geometry
Lesson 6.3 · Perimeters of rectangles and squares (1)
Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 115–117).
Lesson Alignment
How this Shanghai Maths lesson connects to learning goals, Common Core, and Eureka Math.
Learning Objectives
Students will be able to:
- 01Fill perimeter and area tables for rectangles. (Question 1)
- 02Find P and A from length and width stories. (Question 2)
- 03Solve split-rectangle area problems. (Question 3)
Common Core Standards
| Code | Standard (focus for this lesson) |
|---|---|
| 3.MD.D.8 | Perimeter. |
| 3.MD.C.7 | Area. |
Eureka Math Correspondence
| Shanghai Maths | Focus | Eureka Math |
|---|---|---|
| Formulas | 2(l+w), 4s | G3 M7 |
| Table | P and A | G3 M4/M7 |
Core Concepts
Relate length, width, perimeter, and area in tables.
Formulas
Rectangle: $P = 2(l+w)$. Square: $P = 4s$. Area: $A = l \times w$ or $s \times s$.
Fill the Table
Given two measures, find the others.
Stories
Vegetable patch: length 40 m, 5 m longer than width → find P and A.
Key Terms & Definitions (Reference)
Quick glossary for this lesson.
| Term | Definition |
|---|---|
| Length / width | Sides of a rectangle. |
| Side length | Side of a square. |
Key Answers
Quick reference for this lesson’s exercise answers.
Key answers
- Tables: rectangles — P 74 cm / A 210 cm²; P 180 cm / A 2000 cm²; P 140 dm / A 600 dm². Squares — P 60 cm / A 225 cm²; side 12 m / A 144 m².
- Frame / tetrominoes: side 4 dm; longest perimeter figure 6, shortest figure 2.
- Vegetable patch: P 150 m; A 1400 m².
- Sports field: length 100 m.
- Pool: P 150 m.
- Cut square: each rectangle P 32 cm.
- Areas A, B: A 550 cm²; B 1650 cm².
- Tables seating: 6; at least 8.
- Wire 24 cm: 6 rectangles (11×1 … 6×6); areas differ (largest near-square).