Chapter 4 · Dividing by a one-digit number

Lesson 4.9 · Dividing a three-digit number by a one-digit number (3)

Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 84–86).

Grade 3First Semester Pages 84–86ECNU 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. 01Use related × facts to find ÷ answers mentally.
  2. 02Describe division as repeated subtraction.
  3. 03Design equal-row arrangements (flower pots) with number sentences.

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.

Eureka Math Correspondence

Shanghai MathsFocusEureka Math
Inverse× / ÷ relationshipG3 M1
ArraysEqual rowsApplication

Core Concepts

Connect multiplication facts, repeated subtraction, and arrangement plans.

Inverse of Multiplication

From $128 \times 7 = 896$ find related division; “a number is 405 times 5” → divide.

Repeated Subtraction

5 subtracted repeatedly from a number until …

Equal Arrangement Plans

$504$ pots in rows with none left over — multiple plans: $(\square)$ pots per row.

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
Fact familyRelated × and ÷ equations.

Key Answers

Quick reference for this lesson’s exercise answers.

1. Related facts

  • $896\div7=128$;\; $806\times9=7254$;\; $8120\div4=2030$

2. Correct the mistakes

  • $354\div6=59$ correct;\; $663\div7=94\ldots5$;\; $428\div4=107$ correct

3. Column method

  • $380\div3=126\ldots2$,\; $843\div6=140\ldots3$,\; $709\div7=101\ldots2$
  • $450\div6=75$,\; $750\div5=150$,\; $919\div9=102\ldots1$

4. Find the number

  • $(38)\times7=266$;\; $9\times(54)=486$;\; $(2100)\div6=350$;\; $384\div(48)=8$

5. Fill in the brackets

  1. $(2025)$
  2. $(145)$ times
  3. $(1)$
  4. $(4)$ possible values

6. True or false

  1. $\surd$
  2. $\times$
  3. $\times$
  4. $\times$

7–8. Application / enhancement

  1. e.g. $4$ pots × $126$ rows;\; $84$ × $6$;\; $63$ × $8$
  2. $39$ pots