Chapter 4 · Dividing by a one-digit number
Lesson 4.13 · Unit price, quantity and total price (2)
Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 96–98).
Lesson Alignment
How this Shanghai Maths lesson connects to learning goals, Common Core, and Eureka Math.
Learning Objectives
Students will be able to:
- 01Solve multi-step problems mixing × and ÷ with prices.
- 02Combine quantities (rice + flour sacks by mass).
- 03Plan purchases from a price list within a budget.
Common Core Standards
| Code | Standard (focus for this lesson) |
|---|---|
| 3.OA.A.2 | Interpret whole-number quotients. |
| 3.OA.A.3 | Multiply/divide within 100 to solve word problems. |
| 3.OA.B.5 | Apply properties of operations. |
| 3.OA.B.6 | Understand division as unknown-factor. |
| 3.OA.C.7 | Fluently multiply and divide within 100. |
| 3.OA.D.8 | Two-step word problems. |
| 3.OA.D.8 | Two-step / multi-step problems. |
Eureka Math Correspondence
| Shanghai Maths | Focus | Eureka Math |
|---|---|---|
| Applications | Money & measures | G3 M1 / M2 / M3 |
Core Concepts
Extend unit-price reasoning into multi-step and measurement contexts.
Multi-Step Price Problems
Step-by-step expressions mixing × and ÷ (e.g. $96 \div 3 \times \ldots$).
Mass × Sacks
$9$ sacks × $20$ kg rice + flour sacks × $35$ kg → total mass.
Budget Stories
Dad gives different amounts to children to buy stationery from a price list.
Key Terms & Definitions (Reference)
Quick glossary for this lesson.
| Term | Definition |
|---|---|
| Total mass | Sum of masses of all sacks. |
| Budget | Money available to spend. |
Key Answers
Quick reference for this lesson’s exercise answers.
1. Work these out step by step
- $8\times35+8\times25=480$;\; $96\div3\times5=160$;\; $336\div4\div6=14$
- $978+345\div5=1047$;\; $999-99\div9=988$;\; $25\times4\div4\div5=5$
2. Fill in the brackets
- $(6)$ yuan — unit price
- $(3)$ volleyballs — quantity
- $(648)$ yuan — total price
3. Application problems
- $67200$ yuan
- $285$ kg
- $360$ yuan per person per day
- $11$ yuan each piece
4. Enhancement
At most $28$ apples.
5. Stationery shopping
- $10$ pencil boxes, $5$ yuan left
- $5$ mechanical pencils
- No ($35<36$)
6. Enhancement
Dividend $66$.