Chapter 2 · Multiplying and dividing by two-digit numbers
Lesson 2.1 · Speed, time and distance (1)
Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 22–24).
Lesson Alignment
How this Shanghai Maths lesson connects to learning goals, Common Core, and Eureka Math.
Learning Objectives
Students will be able to:
- 01Understand speed as distance travelled per unit of time. (Question 1)
- 02Fill in distance, time, or speed in tables. (Question 1–2)
- 03Compare who is faster from distance and time data. (Question 3)
Common Core Standards
| Code | Standard (focus for this lesson) |
|---|---|
| 3.MD.A.1 | Time to the nearest minute; elapsed time. |
| 3.OA.A.3 | Multiply and divide to solve measurement problems. |
| 3.OA.D.8 | Two-step word problems. |
Eureka Math Correspondence
| Shanghai Maths | Focus | Eureka Math |
|---|---|---|
| Q1 | Speed definition & table | G3 M7 time/rate preview |
| Q2–3 | Compare speeds | G3 M3 applications |
Core Concepts
Introduce speed as distance per unit time; use $D = S \times T$.
Speed Formula
Distance = speed × time · Speed = distance ÷ time · Time = distance ÷ speed
Keep units consistent (m/min, km/h, …).
Fill Tables
Given two of distance, time, speed — find the third.
Compare Speeds
Convert to the same units before comparing who is faster.
Key Terms & Definitions (Reference)
Quick glossary for this lesson.
| Term | Definition |
|---|---|
| Speed | Distance per unit of time. |
| Distance | How far travelled. |
| Rate | A per-unit comparison (speed is a rate). |
Key Answers
Quick reference for this lesson’s exercise answers.
1. Fill in the table
- Walking: speed $14\,\text{km/h}$ (given time $3\,\text{h}$, distance $42\,\text{km}$)
- Bus: speed $900\,\text{m/min}$ (given time $5\,\text{min}$, distance $4500\,\text{m}$)
- Motorbike: speed $5\,\text{m/s}$ (given time $80\,\text{s}$, distance $400\,\text{m}$)
2. Suitable units
- Pigeon: $\text{km/h}$; lion: $\text{km/min}$; elephant: $\text{m/min}$; puppy: $\text{m/min}$
3. Multiple choice
- C (speed)
- B — truck $70\,\text{km/h}$, car $90\,\text{km/h}$; car faster
- C — rates $103$, $86$, $120$ miles/day; Team C fastest
4. Fill in the brackets
- Read as $508$ metres per minute; means travelling $508\,\text{m}$ in $1\,\text{min}$
- Written $27\,\text{km/h}$; means travelling $27\,\text{km}$ in $1\,\text{h}$
- $6\,\text{m/s}$; $40\,\text{m/min}$; $16\,\text{km/h}$
5. Whose speed was fastest?
- Xiao Ya: $100\,\text{m/min}$; Xiao Qiao: $120\,\text{m/min}$; Xiao Dingding: $125\,\text{m/min}$; Xiao Pang: $130\,\text{m/min}$
- Fastest: Xiao Pang
6. Application
- $80\,\text{m/min}$
- $72\,\text{m/min}$
7. Enhancement
About $5\,\text{m/s}$