Chapter 4 · Introduction to fractions (I)
Lesson 4.2 · Unit fractions (1)
Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 81–82).
Lesson Alignment
How this Shanghai Maths lesson connects to learning goals, Common Core, and Eureka Math.
Learning Objectives
Students will be able to:
- 01Read and write unit fractions ($1/2$, $1/5$, $1/10$). (Question 1)
- 02Colour parts to match a unit fraction. (Question 2)
- 03Express shaded parts as unit fractions. (Question 3)
Common Core Standards
| Code | Standard (focus for this lesson) |
|---|---|
| 3.NF.A.1 | Unit fractions as equal parts of a whole. |
Eureka Math Correspondence
| Shanghai Maths | Focus | Eureka Math |
|---|---|---|
| Unit fraction | 1/b | G3 M5 Topic A |
Core Concepts
Unit fractions: one equal part of a whole.
What is a Unit Fraction?
$\frac{1}{n}$ means 1 of $n$ equal parts.
Read & Write
Say “one fifth”; write $\frac{1}{5}$.
Colour the Part
Shade exactly one equal part of the whole.
Key Terms & Definitions (Reference)
Quick glossary for this lesson.
| Term | Definition |
|---|---|
| Unit fraction | A fraction with numerator 1. |
| Denominator | How many equal parts the whole is divided into. |
Key Answers
Quick reference for this lesson’s exercise answers.
1. Read and write
- $\frac{1}{4}$: one fourth;\; $\frac{1}{50}$: one fiftieth.
- One fifth $\frac{1}{5}$; one third $\frac{1}{3}$.
- One tenth $\frac{1}{10}$; whole divided into $10$ equal parts; each is $\frac{1}{10}$.
2. Equally divided?
✓, ✕, ✕, ✕, ✓
3. Shaded parts
$\frac{1}{8}$;\; $\frac{1}{4}$;\; $\frac{1}{3}$.
4. Colour / circle
Shade/circle $1$ of $8$; $1$ of $3$ stars; $1$ of $4$ triangles.
5. Unit fractions
$\frac{1}{2}$;\; $\frac{1}{6}$;\; $\frac{1}{3}$;\; $\frac{1}{4}$.
6–8. Enhancement
- Class size example: $15$ pupils; you $\frac{1}{15}$; girls $\frac{6}{15}$ (use your class).
- Two days: $\frac{1}{2}+\frac{1}{4}=\frac{3}{4}$ of the book.
- Folded $3$ times → $8$ equal parts; each is one eighth $= \frac{1}{8}$.