Chapter 5 · Calculator

Unit Test 5

Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 105–108).

Grade 3 Second Semester Pages 105–108 ECNU 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. 01Demonstrate mental and column fluency. (Parts 1–2)
  2. 02Check answers with a calculator. (Part 2–3)
  3. 03Solve fabric / calculator-practice problems. (Part 4)

Common Core Standards

CodeStandard (focus for this lesson)
4.NBT.B.5Multiply.
4.NBT.B.6Divide.
3.OA.D.8Applications.

Eureka Math Correspondence

Shanghai MathsFocusEureka Math
Unit testChapter 5G3–G4

Question–Lesson Map

Where each Unit Test 5 question was taught in Chapter 5 (Lessons 5.1–5.3).

Test questionFocusTaught in
1. Mental calculation Warm-up before calculator-checked written work 5.1
2. Column + calculator Column ×÷ then verify with calculator keystrokes 5.2, 5.3
3. Step by step Multi-step expressions; check steps with calculator 5.3
4. Number sentences Evaluate a multi-step product expression 5.3
5. Abacus Read numbers shown on abacus diagrams 5.1
6. Calculator flow Follow chained keystroke instructions (+, ÷, ×, −) 5.2, 5.3
7. Application problems Average speed; fabric sets with remainder; compare daily rates 5.3
8. Average Mean of five test scores 5.3
9. Calculator keypad Different addition orders giving the same sum 5.2, 5.3
10. Make = 1 Insert +, −, ×, ÷ and brackets so each line equals 1 5.2, 5.3

Core Concepts

Fluency, column ×÷, calculator check, applications.

Test Structure

Mental; column ×÷ with calculator check; multi-step; applications; calculator practice.

High-Frequency Focus

  • Keystroke order.
  • Remainders when dividing fabric/sets.

Key Terms & Definitions (Reference)

Quick glossary for this lesson.

TermDefinition
Unit testEnd-of-chapter assessment.

Key Answers

Quick reference for this lesson’s exercise answers.

1. Mental

  • $5400\div9=600$;\; $150\times3=450$;\; $8\times12=96$;\; $1100\times7=7700$
  • $100-48+52=104$;\; $80\times20=1600$;\; $128\div4=32$;\; $82\div2=41$
  • $(6+12)\times4=72$;\; $72-72\div6=60$;\; $38+11\times2=60$;\; $74-44+18=48$

2. Column + calculator

$281\times46=12\,926$;\; $8732\div12=727\,\mathrm{R}\,8$;\; $305\times48=14\,640$;\; $5616\div78=72$.

3. Step by step

  • $7200\div24\times105=31\,500$;\; $(18539-829)\div35=506$
  • $2960-1086+379=2253$;\; $5763+1034-2569=4228$
  • $26910\div345\times583=45\,474$;\; $6104\div56\times120=13\,080$

4–5

Number $634\times25+9=15\,859$. Abacus: $287$;\; $645$.

6. Calculator flow

  1. $761+1009=1770$;\; $\div15=118$;\; $\times108=12\,744$;\; $-1987=10\,757$.
  2. $9225\div25=369$;\; $\div3=123$;\; $\times123=15\,129$;\; $+15018=30\,147$.

7. Application

  1. Average speed $2400\div120=20\,\mathrm{km/h}$.
  2. $(2000-785)\div3=405$ sets.
  3. $8010\div30-1980\div30=201$ more bins/day.

8. Average

$(98+92+88+77+100)\div5=91$.

9. Calculator keypad

  1. $369+987+741+123=2220$.
  2. $321+147+789+963=2220$ (same sum).

10. Make $=1$

  1. $(1+2)\div3=1$
  2. $1\times2+3-4=1$
  3. $1+2-3-4+5=1$
  4. $1+2+3-4+5-6=1$
  5. $1\times2+3+4+5-6-7=1$
  6. $1\times2+3-4-5+6+7-8=1$
  7. $1+2+3-4-5-6-7+8+9=1$