Singapore Math® Intensive Practice 3A

Topic 4 · Multiplication & Division by 6, 7, 8 and 9

Harder one-digit facts — same inverse ×÷ habits as Shanghai Chapters 2 & 4.

×÷ 6–9 Shanghai S1 · Ch2 & Ch4 Eureka G3 M3 Pages 44–57

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

1Match related × and ÷ sentences fact families for 6–9.
2Complete patterns that encode ×6, ×7, ×8, ×9 relationships.
3Compute products and quotients with remainders where needed.
4Use model drawings for multi-step grouping / sharing problems.
5Apply these facts in word problems and Take the Challenge! items.

Common Core standards

Code	Focus
3.OA.C.7	Fluently multiply and divide within 100
3.OA.B.5–6	Properties; ×÷ relationship
3.OA.A.2–4	Quotients; unknown factor
3.OA.D.8	Multi-step word problems

Eureka Math correspondence

Focus	Eureka
Match ×÷ pairs	G3 M3 fact families 6–9
Patterns / products	G3 M3 Topics A–E
Division with remainders	G3 M1 / M3 · G4 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
Match × and ÷ sentences	Inverse operations	S1 · Ch2 · Ch4
Larger one-digit products	Multiplying by one-digit	S1 · Chapter 2
Division / remainders	Dividing by one-digit	S1 · Chapter 4
Model multi-step stories	Application style	S1 · Unit Tests 2 & 4

Core concepts

Fact family matching

8 \times 7 = 56 \;\Leftrightarrow\; 56 \div 7 = 8 \;\Leftrightarrow\; 56 \div 8 = 7

Remainder language

677 \div 9 = 75\ \mathrm{R}\ 2 \quad\Rightarrow\quad 9 \times 75 + 2 = 677

Model habit: Draw equal groups or comparison bars before choosing × or ÷.

Key terms

Fact family, product, quotient, remainder, factor, related number sentences, model drawing.