Singapore Math® Intensive Practice 3A
Topic 2 · Addition and Subtraction
Multi-digit ± to 10,000 — same fluency habits as Shanghai Chapter 1 column work.
Lesson alignment
How this Singapore practice topic reinforces Shanghai Maths ideas and maps to Common Core / Eureka — the same note structure as One Lesson One Exercise.
Companion book: Shanghai Maths — One Lesson One Exercise, Grade 3 (ECNU Press English).
Learning objectives
- 1Add and subtract multi-digit numbers to 10,000 with regrouping — including cross-number puzzles.
- 2Find sums and differences from language (“the sum of…”, “the difference between…”).
- 3Translate place-value units into addends/subtrahends (e.g. 8 thousands + 41 tens).
- 4Reason about missing digits and form greatest/smallest numbers from given digits.
- 5Solve multi-step word problems and Take the Challenge! items that link ± with place value.
Common Core standards
| Code | Focus |
|---|---|
| 3.NBT.A.2 | Fluently add and subtract within 1000 (extended here to 4 digits) |
| 4.NBT.B.4 | Fluently add and subtract multi-digit whole numbers (stretch) |
| 3.OA.D.8 | Two-step word problems |
| 2.NBT.B.7–9 | Revision: ± within 1000 using place value |
Eureka Math correspondence
| Focus | Eureka |
|---|---|
| Column ± / cross-number | G3 M2 Topics E–F · G4 M1 |
| Sum / difference language | G2 M5 · G3 M2 |
| Unit language in ± | G2 M3 / M5 · Shanghai 1.1–1.2 |
Shanghai Maths correspondence
Practice here to deepen the same ideas you teach from Shanghai Maths.
| Singapore practice | Shanghai Maths idea | Where in Hua's Classroom |
|---|---|---|
| Cross-number ± puzzle | Column method fluency | S1 · 1.2 |
| Sum of three; difference of extremes | Parts of + / − | S1 · 1.1 diagrams |
| “149 greater than 17 hundreds” | Unit language → equation | S1 · 1.1 |
| Missing digits; rearrangements | Place-value reasoning | S1 · 1.1–1.2 · Unit Test 1 |
Core concepts
Parts of addition / subtraction
Addition
$$\text{Addend} + \text{Addend} = \text{Sum}$$
Subtraction
$$\text{Minuend} - \text{Subtrahend} = \text{Difference}$$
Unit language before calculating
$$\text{8 thousands} + \text{41 tens} = 8000 + 410 = 8410$$
$$\text{11 hundreds} - \text{42 tens} = 1100 - 420 = 680$$
Strategy: Estimate first, then column check. For “difference between greatest and smallest,” identify extremes, then subtract once.
Key terms
Sum, difference, addend, minuend, subtrahend, regrouping, cross-number puzzle.