Chapter 5 · Calculator
Lesson 5.3 · Use a calculator to calculate
Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 102–104).
Lesson Alignment
How this Shanghai Maths lesson connects to learning goals, Common Core, and Eureka Math.
Learning Objectives
Students will be able to:
- 01Calculate multi-step expressions on a calculator. (Question 1)
- 02Follow correct key order for ÷ then −. (Question 2)
- 03Notice patterns such as $n \times 101$. (Question 3)
Common Core Standards
| Code | Standard (focus for this lesson) |
|---|---|
| 3.OA.D.8 | Multi-step problems. |
| 4.NBT.B.5 | Multiply / divide check. |
Eureka Math Correspondence
| Shanghai Maths | Focus | Eureka Math |
|---|---|---|
| Practice | Key sequences | G4 fluency |
| Patterns | ×101 | G4 |
Core Concepts
Use a calculator for multi-step ×÷; spot patterns like ×101.
Multi-Step Calc
Work left to right unless brackets group a step.
Key Order
For $2160 \div 20 - 57$: enter 2160, ÷, 20, =, then −, 57, =.
Number Patterns
$n \times 101$ patterns — check with a calculator, then write more examples.
Key Terms & Definitions (Reference)
Quick glossary for this lesson.
| Term | Definition |
|---|---|
| Multi-step | More than one operation. |
| Pattern | A repeating number relationship. |
Key Answers
Quick reference for this lesson’s exercise answers.
1–2. Key order / check
- $58209+4293=62502$ (keys $5\,8\,2\,0\,9\,+\,4\,2\,9\,3\,=$).
- Check: $69\times34+1=2347$ — the division is correct.
3. Column / step + calculator
$7079\times830=5\,875\,570$;\; $623\times741=461\,643$;\; $3802+19578=23\,380$.
4–5
- $2160\div20-57=51$.
- Total spend $2398+396+180=2974$ yuan; public rental total $82\,240$ units.
6. Pattern ×101
- $86\times101=8686$, etc.; two-digit $ab\times101$ “repeats” the digits.
- $860\times101=86860$;\; $453\times101=45753$, etc. (append / carry pattern).
- Examples: $99\times101=9999$;\; $20\times101=2020$;\; $354\times101=35754$;\; $416\times101=42016$.
7. Fastest route
Speeds (km/min): Route 1 $\approx0.45667$; Route 2 $0.56875$; Route 3 $\approx0.50882$. Route 2 is fastest.