Singapore Math® Intensive Practice 3A
Mid-Year Review · More Challenging Problems
Cumulative Topics 1–5 — use like Shanghai unit tests and consolidation.
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
- 1Mix skills from Topics 1–5 in test-style items (PART 1 / PART 2).
- 2Move between place value, ±, ×÷, patterns, and money without a topic cue.
- 3Explain answers using Shanghai-style core language (sum, difference, quotient, place).
- 4Stretch with More Challenging Problems that demand multi-step reasoning.
Common Core standards
| Code | Focus |
|---|---|
| 3.NBT / 3.OA / 2.MD.C.8 | Spans Topics 1–5 standards |
Eureka Math correspondence
| Focus | Eureka |
|---|---|
| Cumulative review | G3 M1–M3 (+ G2 place value / money) |
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 |
|---|---|---|
| Write in words; digit value; patterns | Place value & number sense | S1 · Ch1 · Topic 1 |
| Sum / difference / unit language | Column ± fluency | S1 · Ch1 · Topic 2 |
| ×÷ facts, quotients, remainders | One-digit ×÷ | S1 · Ch2 & Ch4 · Topics 3–4 |
| Purse / shopping | Money applications | Topic 5 |
| Multi-step mixed | Unit tests / mid-term style | S1 · Unit Tests · Mid-term |
Core concepts
Test habits (Shanghai-aligned)
- Structure first. Place value? ±? ×÷? Money?
- Rewrite unit language as numerals before computing.
- Check with the inverse operation.
- For challenges: draw a model; name known / unknown.
Strand checklist
- 4-digit place value & expanded form
- Compare / order / patterns
- Multi-digit ± with regrouping
- Tables 2–10; remainders
- Dollars & cents word problems
Diagnose weak strands, then return to the matching topic note and Shanghai lesson.
Key terms
Review, mixed practice, quotient, remainder, difference, sum, place value, challenging problem.