Chapter 4 · Dividing by a one-digit number
Lesson 4.8 · Dividing a three-digit number by a one-digit number (2)
Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 81–83).
Lesson Alignment
How this Shanghai Maths lesson connects to learning goals, Common Core, and Eureka Math.
Learning Objectives
Students will be able to:
- 01Choose digits so the quotient has 2 or 3 digits.
- 02Practice three-digit ÷ one-digit fluency.
- 03Classify numbers into groups (enhancement sorting).
Common Core Standards
| Code | Standard (focus for this lesson) |
|---|---|
| 3.OA.A.2 | Interpret whole-number quotients. |
| 3.OA.A.3 | Multiply/divide within 100 to solve word problems. |
| 3.OA.B.5 | Apply properties of operations. |
| 3.OA.B.6 | Understand division as unknown-factor. |
| 3.OA.C.7 | Fluently multiply and divide within 100. |
| 3.OA.D.8 | Two-step word problems. |
Eureka Math Correspondence
| Shanghai Maths | Focus | Eureka Math |
|---|---|---|
| Place value | Quotient size | G4 M3 preview |
Core Concepts
Focus on quotient size and flexible reasoning with three-digit dividends.
Controlling Quotient Digits
In $128 \div 3$, greatest/least digit in a box to make a 2-digit or 3-digit quotient.
Number Classification
Sort numbers such as 345, 934, 616, 299 into given groups.
Enhancement
Think carefully which property defines each group.
Key Terms & Definitions (Reference)
Quick glossary for this lesson.
| Term | Definition |
|---|---|
| Dividend | The number being divided. |
| Divisor | The number you divide by. |
| Quotient | The result of division. |
| Remainder | What is left after equal groups are made. |
| Relationship | dividend = divisor × quotient + remainder |
Key Answers
Quick reference for this lesson’s exercise answers.
1. Mental calculation
- $80\div4=20$,\; $600\div6=100$,\; $510-480=30$
- $39\div3=13$,\; $900\div3=300$,\; $97\div7=13\ldots6$
- $23\times4=92$,\; $25\times6=150$,\; $24\times5=120$
2. Try it
$189\div6=31\ldots3$
3. Digits of quotient then calculate
- $624\div3=208$,\; $936\div8=117$,\; $423\div6=70\ldots3$,\; $5636\div4=1409$
4. Calculate and check
- $656\div6=109\ldots2$;\; $736\div9=81\ldots7$;\; $496\div7=70\ldots6$
5. Fill in the brackets
- Greatest for $2$-digit quotient: $(2)$;\; least for $3$-digit: $(3)$
- $(8)$
- $(0)$
- Dividend $(96)$
6. Application problems
- $600$ mosquitoes per day
- $96$ per big box;\; $12$ per small box
7–9. Enhancement
- ÷2 rem $0$: $630$,\; $616$,\; $934$;\; ÷3 rem $1$: $373$,\; $934$,\; $616$;\; ÷7 rem $5$: $299$
- Xiao Pang faster (e.g. $76$/h vs $72$/h)
- $16$ kg in Bucket A at first