Chapter 4 · Dividing by a one-digit number

Unit Test 4

Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 102–105).

Grade 3First Semester Pages 102–105ECNU Press

Lesson Alignment

Unit Test 4 reviews Chapter 4 — how the strands connect to standards and Eureka.

Learning Objectives

Students will be able to:

  1. 01Compute mental and column ÷ across Chapter 4 types.
  2. 02Write number sentences from language (including remainder cases).
  3. 03Solve multi-step applications (flowers, books, notebooks).
  4. 04Check with multiplication and estimation.

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; remainders.

Eureka Math Correspondence

Shanghai MathsFocusEureka Math
All Chapter 4÷ by one-digitG3 M1 / M3
ApplicationsMulti-stepProblem solving

Question–Lesson Map

Where each Unit Test 4 question was taught in Chapter 4 (Lessons 4.1–4.14).

Test questionFocusTaught in
1. Mental calculation Whole tens/hundreds ÷; mixed ×÷/+− chains; order of operations 4.1, 4.2
2. Column method Column ÷ with remainders; related × check 4.2, 4.7, 4.8, 4.9, 4.10
3. Step by step Regroup with ÷; distributive/friendly pairs in multi-step expressions 4.2, 4.3, 4.10, 4.14
4. Write the number sentences Phrase → equation; find dividend from divisor/quotient/remainder 4.2, 4.11
5. Fill in the brackets Division vocabulary; place of quotient; digit bounds; zeros in quotient; remainder cases 4.1, 4.4, 4.7, 4.10
6–12. Application problems Equal groups with remainder; books/notebooks; flowers per day; mass and money stories 4.11, 4.12, 4.13, 4.14
13–15. Enhancement Shopping combinations; missing-digit puzzle; partition a set into equal teams 4.14

Core Concepts

Assessment map for dividing by a one-digit number.

Fluency Checklist

  • Whole tens/hundreds ÷.
  • Two- and three-digit ÷ one-digit.
  • Zeros in products/quotients; compare expressions.

Number Sentences

4 times a number is 520; divisor/quotient/remainder given → find dividend; “how many threes in 69?”

Application Types

TypeThink
Flowers remaining(need − made) ÷ days
Books & notebooksTotal ÷ unit price

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
Unit pricePrice of one item.

Key Answers

Quick reference for this lesson’s exercise answers.

1. Mental calculation

  • $8\times30=240$,\; $300\times6=1800$,\; $540\div5=108$,\; $400\div8=50$,\; $5400\div6=900$
  • $40\times40=1600$,\; $50\div10=5$,\; $200\div4=50$,\; $170+130=300$,\; $360\div4=90$
  • $24\times5-100=20$,\; $8\times2\times4=64$,\; $29-3\times8=5$,\; $62-56\div7=54$,\; $6\times6\div9=4$
  • $7\times8+45=101$,\; $80\div4-17=3$,\; $12-8\div2=8$,\; $40+6\times9=94$,\; $10+48\div8=16$

2. Column method

  • $826\div9=91\ldots7$;\; $4\times276=1104$;\; $780\div6=130$;\; $919\div8=114\ldots7$

3. Step by step

  • $2001-978\div3=1675$;\; $318+182\times5=1228$;\; $456\div8\times4=228$
  • $54\times15+15\times46=1500$;\; $371+369+(231+29)=1000$;\; $175+25\times4=275$

4. Write the number sentences and calculate

  1. $130$
  2. $251$
  3. $23$
  4. $1346$
  5. $104$

5. Fill in the brackets

  1. fifty-four divided by three
  2. tens place;\; $2$-digit
  3. Least $(6)$;\; greatest for $2$-digit $(5)$
  4. Total $(30)$
  5. Least divisor $(8)$;\; dividend $(135)$
  6. $(3)$ zeros
  7. $(7)$ possible values

6–12. Application

  1. $79$ bottles each;\; $2$ left
  2. $82$ books;\; need $6$ more pieces
  3. $2650$ kg
  4. $56$ red flowers per day
  5. $7$ more boxes each day
  6. $120$ kg;\; $96$ kg more
  7. $430$ yuan

13–15. Enhancement

  1. Story-book × $26$;\; Notebook $1$ × $31$
  2. $\star=9$ ($19+91+9=119$)
  3. Three lines into $6$ parts of $2$ players each (e.g. $1$ vertical $+\;2$ horizontal)