Unit Test 1
Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 12–15).
Lesson Alignment
Unit Test 1 reviews Chapter 1 — how the strands connect to standards and Eureka.
Learning Objectives
Students will be able to (across the test):
- 01Compute mental and column +/−/×/÷ with order of operations. (Sections 1–3)
- 02Write number sentences from language and compare expressions. (Sections 4–5)
- 03Reason about place value, triangles, and multi-square blocks. (True/false, MCQ)
- 04Solve multi-step application problems (reading, length, donation, combinations). (Application)
Common Core Standards
| Code | Standard (focus for this test) |
|---|---|
| 3.NBT.A.2 | Fluently add and subtract within 1000. (Column method) |
| 3.OA.B.5 | Apply properties of operations. (Step-by-step) |
| 3.OA.D.8 | Solve two-step word problems. (Applications) |
| 3.OA.A.3 | Multiplication/division word problems. (Applications) |
| 3.MD.C.5–7 / 3.G.A.1 | Area / multi-square blocks; shape attributes. (MCQ, fill-ins) |
Eureka Math Correspondence
| Unit Test 1 strand | Focus | Eureka Math (corresponding) |
|---|---|---|
| Mental / column | Fluency +/− algorithms | G3 M2 |
| Step-by-step | Regroup; order of operations | G3 M1 / M2 |
| Geometry / blocks | Triangles; multi-square tiling | G3 M4 / M7 |
| Applications | Multi-step stories | G3 M1 / M3 |
Question–Lesson Map
Where each Unit Test 1 question was taught in Chapter 1 (Lessons 1.1–1.5).
| Test question | Focus | Taught in |
|---|---|---|
| 1. Mental calculation | Mental +/−; ×÷ before +−; chains of ×÷ | 1.1, 1.2, 1.4 |
| 2. Column method | Multi-digit +/− algorithms; borrow across zeros | 1.2 |
| 3. Step by step | Regroup subtraction; friendly pairs; order of operations | 1.1, 1.2 |
| 4. Number sentences | Phrase → equation; multiply more than two numbers | 1.1, 1.4 |
| 5. Fill in the spaces | (1)–(3) compare & compute; (4) cube/array models; (5) four-square blocks | 1.1, 1.2, 1.4, 1.5 |
| 6. True or false | Place-value reasoning; triangle type vs “size” | 1.1, 1.3 |
| 7. Multiple choice | Multi-step stories; multi-square tiling yes/no | 1.2, 1.4, 1.5 |
| 8. Application problems | Reading, length, donation, groups + leftover, combinations | 1.1, 1.2, 1.4 |
Core Concepts
A compact review map of what Unit Test 1 assesses from Lessons 1.1–1.5.
Mental & Column Fluency
- Mental: ×÷ before +−; left-to-right for same-level ops.
- Column method: line up place values; watch borrowing across zeros (e.g. $1002 - 888$).
Properties & Order
Regroup subtraction
Friendly pairs
Order of operations
Geometry Review
- Greatest angle acute ⇒ acute-angled triangle.
- Place value: in $808$, the two $8$s differ by a factor of $100$ (hundreds vs ones).
- Angle size does not decide triangle “size” — don’t confuse angle type with area.
- Multi-square blocks: can they tile a $4 \times 3$? Check area $12$ and fit.
Key Terms & Definitions (Reference)
High-frequency Chapter 1 language for the test.
| Term | Definition |
|---|---|
| Column method | Vertical calculation lined up by place value. |
| Order of operations | ×÷ before +−; left to right within a level. |
| Number sentence | Equation that models a problem. |
| Less than / more than | Compare quantities; watch which number is larger. |
| Multi-square block | Joined unit squares used to tile larger shapes. |
| Acute-angled triangle | All three angles are acute. |
Key Answers
Quick reference for this lesson’s exercise answers.
1. $600$, $360$, $90$;\; $27$, $0$, $2$;\; $4$, $3$, $8$;\; $36$, $84$, $1$.
2. $114$;\; $2478$;\; $321$.
3. $172$;\; $257$;\; $573$;\; $80$;\; $41$;\; $198$.
4. $3\times3\times3=27$;\; $39+(39-21)=57$.
5. $>$, $=$, $<$, $=$, $>$, $>$;\; $8$ and $9$;\; $8074-2374=5700$, $4305+3695=8000$, $9056-8069=987$;\; $16$ cubes ($1\times8$ or $2\times4$);\; $5$ four-square blocks.
6. $\checkmark$;\; $\times$;\; $\times$.
7. B;\; D;\; B.
8. $215$ pages;\; $2700$ m;\; $1032$ yuan;\; $21$ tablecloths / $65$ flags.
8(5) prize combinations ($\ge1000$): $1203$, $1014$, $1306$, $1089$, $1381$, $1192$ (six ways).