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).

Grade 3First Semester Pages 96–98ECNU Press

Lesson Alignment

How this Shanghai Maths lesson connects to learning goals, Common Core, and Eureka Math.

Learning Objectives

Students will be able to:

  1. 01Solve multi-step problems mixing × and ÷ with prices.
  2. 02Combine quantities (rice + flour sacks by mass).
  3. 03Plan purchases from a price list within a budget.

Common Core Standards

CodeStandard (focus for this lesson)
3.OA.A.2Interpret whole-number quotients.
3.OA.A.3Multiply/divide within 100 to solve word problems.
3.OA.B.5Apply properties of operations.
3.OA.B.6Understand division as unknown-factor.
3.OA.C.7Fluently multiply and divide within 100.
3.OA.D.8Two-step word problems.
3.OA.D.8Two-step / multi-step problems.

Eureka Math Correspondence

Shanghai MathsFocusEureka Math
ApplicationsMoney & measuresG3 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.

TermDefinition
Total massSum of masses of all sacks.
BudgetMoney 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

  1. $(6)$ yuan — unit price
  2. $(3)$ volleyballs — quantity
  3. $(648)$ yuan — total price

3. Application problems

  1. $67200$ yuan
  2. $285$ kg
  3. $360$ yuan per person per day
  4. $11$ yuan each piece

4. Enhancement

At most $28$ apples.

5. Stationery shopping

  1. $10$ pencil boxes, $5$ yuan left
  2. $5$ mechanical pencils
  3. No ($35<36$)

6. Enhancement

Dividend $66$.