Chapter 4 · Dividing by a one-digit number

Lesson 4.14 · Practice and exercise

Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 99–101).

Grade 3First Semester Pages 99–101ECNU 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. 01Fluently calculate mixed Chapter 4 division items (with checks).
  2. 02Reason about zeros in quotients and common mistakes (× vs ÷).
  3. 03Solve multi-step factory / library applications.

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
PracticeChapter consolidationG3 M1 / M3

Core Concepts

Mixed review of dividing by a one-digit number across the chapter.

Chapter Skills Review

  • Column division with checking.
  • Zeros in the middle of a quotient.
  • Mistake analysis: treating ÷ as ×.

Column Practice

Items such as $39 \div \ldots$, $804 \div \ldots$ with self-check.

Applications

Clothes remaining ÷ 5 days; compare set prices of science vs literary books.

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
Practice and exerciseMixed review lesson.

Key Answers

Quick reference for this lesson’s exercise answers.

1. Column method

  • $39\div3=13$,\; $804\div4=201$,\; $126\div5=25\ldots1$
  • $929\div9=103\ldots2$,\; $644\div8=80\ldots4$,\; $2100\div5=420$

2. Step by step

  • $630\div6+598=703$;\; $842-462-234=146$;\; $57+43\times8=401$
  • $708+247+192=1147$;\; $8\times78-8\times70=64$;\; $67\times4\div2=134$

3. Fill in the brackets

  1. $(3)$-digit;\; hundreds place
  2. $(1)$ zero in the middle
  3. Least $(6)$;\; greatest for $2$-digit $(5)$
  4. $0,1,2,3,4$
  5. Greatest remainder $(8)$;\; dividend $(116)$
  6. Correct answer $(22)$
  7. $\bigcirc=32$,\; $\square=2$

4. Application problems

  1. B;\; $162$ yuan
  2. $45$ each;\; $3$ left
  3. $306$ sets
  4. $1600$ kg
  5. $70$ sets per day
  6. Reference $295$ yuan;\; literary & art cheaper by $149$ yuan

5–6. Enhancement

  1. Divisor $(12)$
  2. $24$ pages