Chapter 4 · Dividing by a one-digit number

Lesson 4.10 · Dividing a three-digit number by a one-digit number (4)

Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 87–89).

Grade 3First Semester Pages 87–89ECNU 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 “exactly n times as many” problems with division.
  2. 02Find a number from quotient and remainder.
  3. 03Use dividend = divisor × quotient + remainder in harder forms.

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.
4.OA.A.3*(preview)* Multi-step; interpret remainders.

Eureka Math Correspondence

Shanghai MathsFocusEureka Math
ComparisonTimes as manyG3 M1 / M3
RemainderRecover dividendG3 M1

Core Concepts

Harder three-digit ÷ problems: comparisons and recovering unknowns.

“Times as Many” with ÷

152 literature books is exactly 8 times comic books → comics $= 152 \div 8$.

Find the Unknown

÷5 gives quotient 123 remainder 2 → number $= 5 \times 123 + 2$.

Full Relationship

Quotient = remainder = 3; divisor = 3 × remainder → find dividend.

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

Key Answers

Quick reference for this lesson’s exercise answers.

1. Mental calculation

  • $64\div4=16$,\; $36\div3=12$,\; $86\div2=43$,\; $95\div5=19$
  • $50\div6=8\ldots2$,\; $640\div8=80$,\; $110\div5=22$,\; $240\times0=0$

2. Dance / choir / brass band

  1. $144$ in the choir
  2. $16$ in the brass band
  3. $9$ times

3. Library books

  1. $304$ storybooks
  2. $19$ comic books
  3. $16$ times

4. Column method

  • $563\div4=140\ldots3$,\; $540\div3=180$,\; $250\div6=41\ldots4$

5. Multiple choice

  1. A
  2. D
  3. C

6. True or false

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

7–8. Further practice

  1. $617$
  2. $30$

9–10. Enhancement

  1. $70$ metres each minute
  2. $2$ yuan each