Chapter 7 · Consolidation and enhancement
Lesson 7.2 · Fractions
Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 129–131).
Lesson Alignment
How this Shanghai Maths lesson connects to learning goals, Common Core, and Eureka Math.
Learning Objectives
Students will be able to:
- 01Write fractions for shaded parts. (Question 1)
- 02Link fractions to km and kg. (Question 2)
- 03Find shaded fraction of overlapping triangles. (Question 3)
Common Core Standards
| Code | Standard (focus for this lesson) |
|---|---|
| 3.NF.A.1 | Fractions. |
| 3.NF.A.3 | Relate fractions. |
Eureka Math Correspondence
| Shanghai Maths | Focus | Eureka Math |
|---|---|---|
| Review | Shaded parts | G3 M5 |
| Overlap | Complex figures | G3 M5 |
Core Concepts
Represent shaded parts; fractions of measures; overlapping figures.
Shaded Parts
Equal parts → write $\frac{a}{b}$.
Fraction Measures
Mark fractions on 1 km / 1 kg diagrams.
Overlapping Figures
Count equal triangular units; find shaded / total.
Key Terms & Definitions (Reference)
Quick glossary for this lesson.
| Term | Definition |
|---|---|
| Fraction | Part of a whole. |
| Equal parts | Same size units. |
Key Answers
Quick reference for this lesson’s exercise answers.
Key answers
- Shaded: $\frac{5}{6}$; $\frac{4}{12}=\frac{1}{3}$; $\frac{7}{7}=1$; $\frac{1}{6}$; $\frac{3}{8}$.
- Sets: $\frac{5}{9}$; $\frac{8}{12}=\frac{2}{3}$.
- Bars: $\frac{8}{10}$; $\frac{5}{10}$.
- T/F: ×; ✓; ✓; ×.
- Fill in: 10 red; $\frac{4}{9}$, $\frac{5}{9}$, $\frac{4}{5}$; 30 min; 10 min; 20 yuan; 75 yuan.
- Overlapping triangles: $\frac{1}{10}$; whole 80 cm².