Chapter 2 · Multiplying by a one-digit number
Unit Test 2
Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 38–41).
Lesson Alignment
Unit Test 2 reviews Chapter 2 — how the strands connect to standards and Eureka.
Learning Objectives
Students will be able to:
- 01Compute mental and written products across Chapter 2 types.
- 02Compare expressions and write number sentences from language.
- 03Solve multi-step application problems.
- 04Check reasonableness with estimation.
Common Core Standards
| Code | Standard (focus for this lesson) |
|---|---|
| 3.NBT.A.3 | × multiples of 10. |
| 3.OA.A.3 / D.8 | Word problems; two-step. |
| 3.OA.C.7 | Fluency. |
Eureka Math Correspondence
| Shanghai Maths | Focus | Eureka Math |
|---|---|---|
| All Chapter 2 | × by one-digit | G3 M3 |
| Applications | Multi-step | G3 M1 / M3 |
Question–Lesson Map
Where each Unit Test 2 question was taught in Chapter 2 (Lessons 2.1–2.9).
| Test question | Focus | Taught in |
|---|---|---|
| 1. Mental calculation | Whole tens/hundreds × one-digit; two- and three-digit mental products; mixed × chains | 2.1, 2.2, 2.4, 2.5, 2.6, 2.7, 2.8 |
| 2. Column method | Written × for two- and three-digit × one-digit; regrouping; zeros in factors | 2.4, 2.5, 2.6, 2.7, 2.8 |
| 3. Step by step | Multi-step expressions with ×; friendly regrouping; distributive rewrites | 2.4, 2.5, 2.6, 2.9 |
| 4. Compare | Compare products with >, <, =; reason about nearby multiples | 2.1, 2.2 |
| 5. Fill in the brackets | Digit/place-value reasoning for products; estimate product size | 2.4, 2.5, 2.6, 2.7, 2.8 |
| 6. Multiple choice | Choose correct expression or estimate; interpret × stories | 2.1, 2.2, 2.9 |
| 7. Number sentences | Phrase → equation; unknown factor from quotient; product of equal addends | 2.3, 2.9 |
| 8. Application problems | Distance/speed, reading pages, flowers/groups, books/seats multi-step × stories | 2.3, 2.9 |
| 9. Fill in the boxes | Complete column × working; verify partial products | 2.7, 2.8 |
Core Concepts
Unit Test 2 assesses Chapter 2 — multiplying by a one-digit number.
Fluency Checklist
- Whole tens/hundreds × one-digit ($9 \times 30$, $800 \times 5$).
- Two- and three-digit × one-digit; mixed $2 \times 30 + 3$.
- Compare with $>$ $<$ $=$ ($27 \times 6$ vs $26 \times 7$, $250 \times 4$ vs $8 \times 125$).
Compare & Sentences
- Unknown number from quotient (÷7 = 650 → ×7).
- Product of two given factors; sum of equal addends then subtract.
Application Types
| Type | Think |
|---|---|
| Distance / speed | Hours × km per hour (high-speed train) |
| Reading pages | Pages/day × days + remaining |
| Flowers / groups | Equal groups from a diagram |
Key Terms & Definitions (Reference)
Quick glossary for this lesson.
| Term | Definition |
|---|---|
| Factor / product | Numbers multiplied / result. |
| Estimate | Nearby product for checking. |
| Number sentence | Equation for a story. |
Key Answers
Quick reference for this lesson’s exercise answers.
Key answers
- Mental: $270$; $4000$; $72$; $100$; $91$; $80$; $84$; $45$; $63$; $63$; $400$; $7$
- Column: $294$; $804$; $3360$; $2525$; $8991$; $10000$
- Step by step: $1518$; $1564$; $1986$; $1659$; $213$; $177$
- Compare: $<$; $<$; $=$; $>$; $>$; $=$
- Fill brackets: (1) $4$ (2) $3$- or $4$-digit (3) $3$-digit; between $200$ and $250$ (4) $210$; $102$; $108$
- Multiple choice: (1) A ($2$) (2) C ($38+29$) (3) D (price of $20$ pens)
- Number sentences: (1) $4550$ (2) $530$ (3) $288$ (4) $1000$
- Applications: (1) $160$ flowers (2) $78$ kg (3) $654$ km (4) $204$ pages (5) $312$ books (6) seats: yes; $1200$ tickets: no
- Fill boxes: $708×5=3540$; $190×4=760$