Chapter 2 · Multiplying and dividing by two-digit numbers

Lesson 2.15 · Practice and exercise

Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 64–66).

Grade 3 Second Semester Pages 64–66 ECNU 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. 01Review mental ×÷ and two-digit methods. (Question 1–2)
  2. 02Use column method with checking. (Question 3)
  3. 03Solve train-through-bridge and enhancement items. (Question 4–5)

Common Core Standards

CodeStandard (focus for this lesson)
4.NBT.B.5Multiply.
4.NBT.B.6Divide.
3.OA.D.8Multi-step problems.

Eureka Math Correspondence

Shanghai MathsFocusEureka Math
MixedChapter 2 reviewG3–G4 fluency

Core Concepts

Mental + column ×÷; train / bridge length problems.

Mental Fluency

Quick ×÷ chains; watch for ×0 and ÷1 traps.

Column Review

Two-digit × and ÷ — check with inverse operation.

Train & Bridge

Distance = speed × time; bridge length = total distance − train length.

Key Terms & Definitions (Reference)

Quick glossary for this lesson.

TermDefinition
PracticeMixed chapter review.
Train lengthSubtract from total distance through bridge.

Key Answers

Quick reference for this lesson’s exercise answers.

1. Mental

  • $480$;\; $10$;\; $0$;\; $200$;\; $340$;\; $96$;\; $9090$;\; $1000\div8=125$

2. Column method

  • $567\times18=10206$;\; $2030\times420=852600$
  • $3296\div32=103$;\; $2551\div42=60\cdots31$

3. Step by step

  • $576$;\; $9292$;\; $10$;\; $97$;\; $5248$;\; $33+77\times101=7810$

4. Number sentences

  1. $560$
  2. $42$

5. Fill in brackets

  1. $25\times36=(5\times5)\times36=25\times(6\times6)$
  2. Greatest digit $4$ (divisor $43$)
  3. $5$ times
  4. Misread as $35$
  5. Correct quotient $140$
  6. Units: $\text{s}$;\; $\text{m/min}$;\; $\text{km/h}$;\; $\text{km/s}$

6. Application

  1. Area $1200\,\text{m}^2$
  2. Bridge $1048\,\text{m}$

7. Enhancement

  • Times (h): $40.4$;\; $10.1$;\; $4.04$;\; $2.525$;\; $\approx1.44$;\; $0.808$
  • Circular pond: $60$ saplings