Lesson 4.1 · Whole and part
Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 79–80).
Lesson Alignment
How this Shanghai Maths lesson connects to learning goals, Common Core, and Eureka Math.
Learning Objectives
Students will be able to:
- 01Identify wholes and parts in pictures. (Question 1)
- 02Read and write unit fraction language. (Question 2)
- 03Draw parts of a whole. (Question 3)
Common Core Standards
| Code | Standard (focus for this lesson) |
|---|---|
| 3.NF.A.1 | Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts. |
Eureka Math Correspondence
| Shanghai Maths | Focus | Eureka Math |
|---|---|---|
| Whole/part | Language | G3 M5 |
| Draw | Equal parts | G3 M5 |
Core Concepts
Identify wholes and parts; introduce fraction language.
Whole and Part
A whole can be one object or a set. A part is a piece of that whole.
Fraction Language
“One fifth” means the whole is divided into 5 equal parts; take 1.
Draw Equal Parts
Parts must be equal in size (area or number).
Key Terms & Definitions (Reference)
Quick glossary for this lesson.
| Term | Definition |
|---|---|
| Whole | The complete unit or set. |
| Part | A portion of the whole. |
| Equal parts | Same size when the whole is shared. |
Key Answers
Quick reference for this lesson’s exercise answers.
1. Wholes and parts
Each pair: left = whole; right = part.
2. Draw one part
Example: $8$ of the $16$ stars (half the whole), or any proper subset drawn from the whole.
3. Let’s draw
Whole: e.g. a square in $4$ equal parts; Part: shade $1$ part ($\frac{1}{4}$).
4. Line symmetry
Mirror the given half across each dashed line (house/arrow; smiley; circle; hexagon).