Chapter 2 · Multiplying by a one-digit number

Lesson 2.7 · Multiplying a three-digit number by a one-digit number (1)

Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 30–31).

Grade 3 First Semester Pages 30–31 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. 01Warm up with whole tens/hundreds × one-digit. (Question 1)
  2. 02Split three-digit numbers into hundreds + tens + ones. (Question 2)
  3. 03Compute three-digit × one-digit with column method. (Question 3–6)
  4. 04Correct errors in vertical work.

Common Core Standards

CodeStandard (focus for this lesson)
3.NBT.A.3Place-value strategies for multi-digit ×.
4.NBT.B.5*(preview)* Multiply multi-digit × one-digit.
3.OA.B.5Distributive property.

Eureka Math Correspondence

Shanghai MathsFocusEureka Math
Algorithm3-digit × 1-digitG3 M3 / G4 M3 preview
SplitPartial productsG3 M3

Core Concepts

Multiply a three-digit number by a one-digit number — extend the split and column methods.

Split a Three-Digit Factor

$$206 \times 4 = 200 \times 4 + 6 \times 4 = 800 + 24 = 824$$
$$309 \times 6 = 300 \times 6 + 9 \times 6 = 1800 + 54 = 1854$$

Follow the book’s “split the numbers” examples from mental warm-ups ($200 \times 8$, $90 \times 7$, …).

Column Method

Multiply ones, tens, hundreds in turn; regroup carefully — zeros in the middle (e.g. 206) are common traps.

Zeros & Place Value

Link back to 2.1–2.2: $900 \times 7 = 6300$ from $9 \times 7 = 63$.

Key Terms & Definitions (Reference)

Quick glossary for this lesson.

TermDefinition
Hundreds / tens / onesPlaces in a three-digit number.
Partial productProduct of one place value part.

Key Answers

Quick reference for this lesson’s exercise answers.

Key answers
  1. Mental: $2400,240,24$; $160,1600,16$; $6300,630,63$; $360,2800,2000$
  2. Split: $427=400+20+7$; $987=900+80+7$; $634=600+30+4$
  3. $3×316=948$
  4. $427×4=1708$; $634×6=3804$; $370×5=1850$
  5. Column: $171×7=1197$; $3×279=837$; $165×4=660$; $6×309=1854$; $8×125=1000$; $4×206=824$
  6. Corrections: $235×4=940$; $107×5=535$; $672×8=5376$ (correct)
  7. Fill brackets: (1) $3$   (2) $42$ tens   (3) $1000$
  8. Extension: (1) $416×7=2912$; $508×8=4064$   (2) $□=1$, $△=7$, $○=2$ ($174×3=522$)