Singapore Math® Intensive Practice 3A
Topic 3 · Multiplication & Division by 2, 3, 4, 5 and 10
Equal groups and “times as many” — aligned to Shanghai Chapters 2 & 4.
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
- 1Extend skip-counting and number patterns for factors 2, 3, 4, 5, and 10.
- 2Write number sentences for equal-groups stories (bags, rows, passengers).
- 3Use bar / model drawings for “times as many” comparisons.
- 4Multiply and divide within these tables, including multi-step problems.
- 5Take the Challenge! items that deepen inverse ×÷ thinking.
Common Core standards
| Code | Focus |
|---|---|
| 3.OA.A.1–4 | Interpret products / quotients; unknown in ×÷ |
| 3.OA.B.5–6 | Properties; relationship between × and ÷ |
| 3.OA.C.7 | Fluently multiply and divide within 100 |
| 3.OA.D.8–9 | Two-step problems; arithmetic patterns |
Eureka Math correspondence
| Focus | Eureka |
|---|---|
| Sequences / patterns | G3 M1 · G3 M3 |
| Equal groups stories | G3 M1 Topics A–D |
| “Times as many” models | G3 M1 Topic D · G3 M3 |
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 |
|---|---|---|
| Number sequences ×2–5, ×10 | Patterns before formal × | S1 · Ch2 tables |
| Equal groups word problems | Bags, rows, sharing | S1 · 2.x · 4.x |
| Model drawings (“3 times as many”) | Comparison models | S1 · Ch2 apps · 1.4 |
| Inverse ×÷ practice | Division as inverse | S1 · Ch4 |
Core concepts
Equal groups → number sentence
$$4 \text{ bags} \times 5 \text{ apples} = 20 \quad;\quad 45 \div 5 = 9 \text{ each}$$
“Times as many” bar model
Brother: |=====| 5 Ned: |=====|=====|=====| 3 × 5 = 15
Fact family
$$4 \times 9 = 36,\quad 9 \times 4 = 36,\quad 36 \div 4 = 9,\quad 36 \div 9 = 4$$
Key terms
Equal groups, product, quotient, factor, times as many, bar / model drawing, skip-counting, fact family.