Chapter 6 · Consolidation and enhancement
Lesson 6.11 · Mathematics plaza — flowcharts
Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition).
Lesson Alignment
How this Shanghai Maths lesson connects to learning goals, Common Core, and Eureka Math.
Learning Objectives
Students will be able to:
- 01Calculate with the column method (including checks).
- 02Build subtraction towers from three-digit numbers.
- 03Follow flowchart / game rules for operations.
Common Core Standards
| Code | Standard (focus for this lesson) |
|---|---|
| 3.OA.A.3 | Multiply/divide to solve word problems. |
| 3.OA.D.8 | Two-step word problems. |
| 3.OA.C.7 | Fluently multiply and divide within 100. |
| 3.NBT.A.2 | Add/subtract within 1000. |
| 3.NBT.A.3 | Multiply one-digit × multiples of 10. |
Eureka Math Correspondence
| Shanghai Maths | Focus | Eureka Math |
|---|---|---|
| Fluency games | Towers / flows | Engagement + accuracy |
Core Concepts
Mathematics plaza — flowcharts and operation games.
Column Fluency
Multi-digit +/−/× practice with starred checks.
Subtraction Towers
Choose three-digit numbers and build a subtraction tower.
Follow a Flow
Games with subtraction towers — follow the steps in order.
Key Terms & Definitions (Reference)
Quick glossary for this lesson.
| Term | Definition |
|---|---|
| Flowchart | Diagram of steps to follow in order. |
| Subtraction tower | Pyramid of repeated subtractions. |
Key Answers
Quick reference for this lesson’s exercise answers.
Key answers
- Column subtraction: $269$;\; $323$;\; $613$;\; $142$;\; $303$;\; $219$
- Number cards: (1) $976-245=731$;\; (2) example $945-276=669$ (then exchange cards);\; (3) least difference e.g. $624-597=27$
- Subtraction towers (adjacent differences): top $9,4,2$ → $5,2$ → $3$; top $4,3,5$ → $1,2$ → $1$
- Enhancement cryptarithms: (5) $A=1$, $B=0$, $C=8$, $D=9$, $E=7$ ($91004-83209=7795$);\; (6) $K=1$, $Q=2$, $J=9$ ($1221-292=929$)