Chapter 6 · Let's practise geometry

Unit Test 6

Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 121–125).

Grade 3 Second Semester Pages 121–125 ECNU Press

Lesson Alignment

How this Shanghai Maths lesson connects to learning goals, Common Core, and Eureka Math.

Learning Objectives

Students will be able to:

  1. 01Recall perimeter and area formulas. (Part 1)
  2. 02Calculate P and A for squares/rectangles. (Part 2)
  3. 03Solve ink-spill grid and vegetable-patch problems. (Part 3–4)

Common Core Standards

CodeStandard (focus for this lesson)
3.MD.D.8Perimeter.
3.MD.C.7Area.

Eureka Math Correspondence

Shanghai MathsFocusEureka Math
Unit testChapter 6G3 M7

Question–Lesson Map

Where each Unit Test 6 question was taught in Chapter 6 (Lessons 6.1–6.4).

Test questionFocusTaught in
1. Fill in the spaces Perimeter formulas P = 2(l + w), P = 4s; square area; find width from P 6.1, 6.2, 6.3
2. Tables Complete missing length, width, side, or perimeter in tables 6.3, 6.4
3. True or false Perimeter vs area facts; formula reasoning 6.1, 6.3
4. Multiple choice Choose correct perimeter statement; effect of dimension changes 6.3, 6.4
5. Diagrams Find perimeter and area of composite figures on grids 6.3, 6.4
6. Application problems Fencing, frames, ink-spill grid, vegetable patch; two-change area stories 6.2, 6.4

Core Concepts

Perimeter formulas, composite shapes, area links.

Test Structure

Fill formulas; tables; cutting stories; grid perimeter; two-change area problem.

High-Frequency Focus

  • $P=2(l+w)$, $P=4s$.
  • Draw a diagram for length/width changes.

Key Terms & Definitions (Reference)

Quick glossary for this lesson.

TermDefinition
Unit testEnd-of-chapter assessment.

Key Answers

Quick reference for this lesson’s exercise answers.

Key answers

  1. Fill in: $P=2(\ell+w)$; square area = side×side; 4×side; width $=P\div2-$length; 36 dm; 32 dm; figure P 24 cm, A 24 cm².
  2. Tables: P 32 m; width 5 dm; length 12 cm; square P 96 m; side 60 dm; P 360 cm.
  3. T/F: ✓ × ✓ × ✓.
  4. MCQ: C; C; C; A; D (80 cm longer).
  5. Diagrams: (1) P 200 cm, A 1000 cm²; (2) P 150 cm, A 850 cm².
  6. Apps: 540 m; 52 cm; 682 dm²; 300 m²; 876 m²; Square A 784 cm², Square B 400 cm².