Chapter 4 · Introduction to fractions (I)

Lesson 4.4 · Non-unit fractions (1)

Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 86–87).

Grade 3 Second Semester Pages 86–87 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. 01Write non-unit fractions from pictures. (Question 1)
  2. 02Judge whether shading matches a given fraction. (Question 2)
  3. 03Name combined groups as fractions of a set. (Question 3)

Common Core Standards

CodeStandard (focus for this lesson)
3.NF.A.1a/b as a parts of size 1/b.

Eureka Math Correspondence

Shanghai MathsFocusEureka Math
Non-unita/bG3 M5 Topic B

Core Concepts

Non-unit fractions: several equal parts of a whole.

Non-Unit Fractions

$\frac{3}{4}$ means 3 parts of size $\frac{1}{4}$.

From Pictures

Count shaded equal parts over total equal parts.

Match Shading

Check both numerator (how many) and denominator (equal parts).

Key Terms & Definitions (Reference)

Quick glossary for this lesson.

TermDefinition
Non-unit fractionNumerator greater than 1.
NumeratorHow many parts are taken.

Key Answers

Quick reference for this lesson’s exercise answers.

1. Fractions from pictures

  1. Apples $\frac{1}{9}$; strawberries $\frac{5}{9}$; apples and bananas $\frac{4}{9}$.
  2. Black $\frac{3}{12}$; white $\frac{9}{12}$.

2. Shaded parts

$\frac{4}{9}$;\; $\frac{1}{3}$;\; $\frac{2}{8}$ (or $\frac{1}{4}$).

3. Fill in

  1. Each piece $\frac{1}{7}\,\mathrm{m}$; $4$ pieces $\frac{4}{7}\,\mathrm{m}$.
  2. $5$ lots of $\frac{1}{8}$ are five eighths.
  3. $\frac{6}{10}$.
  4. $3$ lots of $\frac{1}{9}$ in $\frac{3}{9}$.
  5. $2$;\; $3$;\; $6$ triangles.

4. Judge

(1) ✕;\; (2) ✓;\; (3) ✓.

5–7. Enhancement

  • Each piece $\frac{1}{6}$ of the length; each sawing $\frac{1}{5}$ of the total time.
  • Grandma $\frac{1}{12}$; sister $\frac{3}{12}$; brother $\frac{3}{12}$; Mum $\frac{5}{12}$.
  • $\frac{2}{18}$ of $36=4$;\; $6$;\; $8$;\; $12$;\; $18$;\; $24$.
  • Still to deliver: $100\,\mathrm{kg}$.