Chapter 4 · Dividing by a one-digit number

Lesson 4.3 · Dividing a two-digit number by a one-digit number (2)

Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 68–70).

Grade 3First Semester Pages 68–70ECNU 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. 01Interpret each step of the column (long) division algorithm.
  2. 02Explain what a digit in the working represents (e.g. tens already shared).
  3. 03Solve rabbit / mushroom multi-step problems.

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.NBT.B.6*(preview)* Find whole-number quotients.

Eureka Math Correspondence

Shanghai MathsFocusEureka Math
AlgorithmPlace-value divisionG3 M1 / G4 M3 preview

Core Concepts

Connect the vertical algorithm to equal sharing by place value.

Column Method Meaning

Example MCQ: in $46 \div 2$, the marked part may mean “40 pencils have been given” — not “4 remaining.”

Place-Value Steps

  1. Divide tens.
  2. Bring down ones; divide ones.
  3. Record quotient and any remainder.

Applications

Cages for rabbits; mushrooms per week from a 3-day rate.

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
Column methodVertical division algorithm.

Key Answers

Quick reference for this lesson’s exercise answers.

1. Mental division

  • $20\div6=3\ldots2$,\; $31\div5=6\ldots1$,\; $63\div8=7\ldots7$,\; $43\div7=6\ldots1$
  • $75\div9=8\ldots3$,\; $62\div7=8\ldots6$,\; $48\div9=5\ldots3$,\; $39\div4=9\ldots3$

2. Column method

  • $45\div3=15$,\; $78\div2=39$,\; $65\div5=13$,\; $84\div4=21$

3. Column method

  • $84\div7=12$,\; $96\div3=32$,\; $68\div2=34$,\; $75\div3=25$
  • $84\div3=28$,\; $96\div8=12$,\; $68\div4=17$,\; $75\div5=15$

4. Multiple choice

  1. B (method ②)
  2. B ($40$ pencils have been given)

5. Fill in the brackets

  1. $(4)$ rows;\; $(14)$ in each row
  2. Divisor $(12)$

6. Write the number sentences and calculate

  1. $85\div5=17$
  2. $78\div6=13$
  3. $27-13=14$

7. Application problems

  1. $22$ hutches
  2. $84$ mushrooms
  3. $49$ coloured rubber balls

8–9. Enhancement

  1. $11\div4=2\ldots3$
  2. $16$ pieces