Chapter 4 · Dividing by a one-digit number

Lesson 4.6 · Dividing a two-digit number by a one-digit number (5)

Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 76–78).

Grade 3First Semester Pages 76–78ECNU Press

Lesson Alignment

How this Shanghai Maths lesson connects to learning goals, Common Core, and Eureka Math.

Learning Objectives

Students will be able to:

  1. 01Solve rate problems (wontons per minute → time for 96).
  2. 02Divide mixed groups into equal teams.
  3. 03Use proportional thinking with packs of balls / sweets.

Common Core Standards

CodeStandard (focus for this lesson)
3.OA.A.2Interpret whole-number quotients.
3.OA.A.3Multiply/divide within 100 to solve word problems.
3.OA.B.5Apply properties of operations.
3.OA.B.6Understand division as unknown-factor.
3.OA.C.7Fluently multiply and divide within 100.
3.OA.D.8Two-step word problems.
3.MD.A.1*(related)* Time rates.

Eureka Math Correspondence

Shanghai MathsFocusEureka Math
Applications÷ word problemsG3 M1 / M3

Core Concepts

Consolidate two-digit ÷ one-digit through rich applications.

Rates & Sharing

$8$ wontons/min → time for $96$: $96 \div 8$. Girls + boys into groups of 4.

Multi-Step Stories

Empty cans + sweets packing; combine conditions carefully.

Unit Price Links

6 balls for 30 yuan → how many for 90 yuan; cost of 12 balls.

Key Terms & Definitions (Reference)

Quick glossary for this lesson.

TermDefinition
DividendThe number being divided.
DivisorThe number you divide by.
QuotientThe result of division.
RemainderWhat is left after equal groups are made.
Relationshipdividend = divisor × quotient + remainder
RateAmount per unit time (or per pack).

Key Answers

Quick reference for this lesson’s exercise answers.

1. Mental calculation

  • $30\times2=60$,\; $46\div2=23$,\; $21\times3=63$,\; $80\div4=20$
  • $120\times3=360$,\; $300\times5=1500$,\; $840\div4=210$,\; $50\times4=200$
  • $9000\div3=3000$,\; $60\div9=6\ldots6$,\; $240\div6=40$,\; $500\times9=4500$
  • $2000\times4=8000$,\; $1000\times7=7000$,\; $2000\div5=400$,\; $10000\div5=2000$

2. Column method (check)

  • $58\div4=14\ldots2$,\; $61\div2=30\ldots1$,\; $92\div5=18\ldots2$
  • $37\div3=12\ldots1$,\; $97\div6=16\ldots1$,\; $74\div7=10\ldots4$

3. Application problems

  1. $16$ black sheep
  2. $9$ days
  3. $12$ minutes
  4. $21$ groups
  5. Yes;\; $6$ empty cans left
  6. $21$ pages each day (remaining $6$ days)
  7. $60$ yuan for $12$ balls;\; $18$ balls for $90$ yuan

4–5. Enhancement

  • $31\div7=4\ldots3$;\; $31\div4=7\ldots3$
  • $39\div7=5\ldots4$;\; e.g. $71\div8=8\ldots7$