CH03-01 lesson

Unit Fractions Learning Activity

A focused Grade 3 learning session for Unit Fractions using visual models, worked examples, strategy guidance, and a short mastery check.

15
minutes
6
lesson parts
11
practice items
Learning goal

Students will understand a unit fraction as one equal part of a whole divided into equal parts.

Student goal: I can identify and describe unit fractions.

concept

Learn the Idea

Unit Fractions means using equal parts, number lines, and clear fraction language to describe parts of a whole.

  • Identify the whole before naming a fraction.
  • Make sure each part is equal in size.
  • Use a number line or model to show where the fraction belongs.
  • Explain whether two fractions have the same size or different sizes.
visual model

See the Math

Visual Model 1

Question: Look at the rectangle below. It is divided into \(6\) equal parts, and one part is shaded. What fraction is shaded?

Grade 3 Unit Fractions figure 1

  • A. \(\frac{5}{6}\)
  • B. \(\frac{1}{6}\)
  • C. \(\frac{6}{1}\)
  • D. \(\frac{1}{5}\)

Why it works: The rectangle is divided into \(6\) equal parts. One part is shaded, so the shaded fraction is \(\frac{1}{6}\) (one-sixth).

Answer: \(\frac{1}{6}\)

worked example

Follow a Worked Example

Example 1

Question: Which picture shows \(\frac{1}{3}\) shaded?

Grade 3 Unit Fractions figure 3

  • A. Picture A
  • B. Picture B
  • C. Picture C
  • D. None of these
  1. Picture C shows a rectangle divided into \(3\) equal parts with \(1\) part shaded, which is \(\frac{1}{3}\).

Answer: Picture C

Example 2

Question: Look at the circle. It is divided into \(4\) equal parts. One part is shaded. What fraction is shaded?

Grade 3 Unit Fractions figure 4

  • A. \(\frac{1}{2}\)
  • B. \(\frac{1}{4}\)
  • C. \(\frac{1}{3}\)
  • D. \(\frac{4}{4}\)
  1. The circle is divided into \(4\) equal parts.
  2. One part is shaded, so the shaded fraction is \(\frac{1}{4}\) (one-fourth).

Answer: \(\frac{1}{4}\)

real world

Connect It to a Real Situation

Problem 1

Question: A garden is divided into \(6\) equal sections. What unit fraction represents one section?

  • A. \(\frac{6}{1}\)
  • B. \(\frac{1}{6}\)
  • C. \(\frac{5}{6}\)
  • D. \(\frac{1}{7}\)

Why it works: A whole divided into \(6\) equal sections has each section as \(\frac{1}{6}\) (one-sixth).

Answer: \(\frac{1}{6}\)

strategy

Avoid Mistakes and Choose a Strategy

  • Counting unequal parts as if they were equal.
  • Forgetting that the denominator tells how many equal parts make the whole.
  • Comparing fractions without first checking the size of the whole.
  • Placing a fraction on a number line without counting equal intervals.
  • Draw the whole first, then divide it into equal parts.
  • Use number lines when the question asks about order or location.
  • Say the fraction out loud to connect numerator and denominator meanings.
  • Check whether the answer should be closer to 0, 1/2, or 1.
summary

Remember the Key Idea

Unit Fractions becomes easier when students connect the question to a model, use clear steps, and explain why the answer fits.

GOLDEN RULE

Equal parts first, fraction name second.

Guided to independent practice

Solve before opening the answer

Use scratch paper. The explanation matters more than simply seeing whether the choice is correct.

warmup

2 questions
G3-C03-T01-Q001 About 1 min

A pizza is cut into \(8\) equal slices. What fraction represents one slice?

  1. A \(\frac{1}{1}\)
  2. B \(\frac{8}{8}\)
  3. C \(\frac{8}{1}\)
  4. D \(\frac{1}{8}\)
Check answer and explanation

Answer D: \(\frac{1}{8}\)

When a whole is cut into \(b\) equal parts, one part is the unit fraction \(\frac{1}{b}\). Here \(b=8\), so one slice is \(\frac{1}{8}\).

G3-C03-T01-Q002 About 1 min

A candy bar is divided into \(4\) equal pieces. What is the fraction name for one piece?

  1. A \(\frac{1}{4}\)
  2. B \(\frac{4}{4}\)
  3. C \(\frac{1}{3}\)
  4. D \(\frac{4}{1}\)
Check answer and explanation

Answer A: \(\frac{1}{4}\)

When something is split into \(4\) equal parts, one part is called one-fourth, or \(\frac{1}{4}\).

guided

1 question
G3-C03-T01-Q003 About 1 min

Look at the rectangle below. It is divided into \(6\) equal parts, and one part is shaded. What fraction is shaded?

Unit Fractions visual for G3-C03-T01-Q003
  1. A \(\frac{5}{6}\)
  2. B \(\frac{1}{6}\)
  3. C \(\frac{6}{1}\)
  4. D \(\frac{1}{5}\)
Check answer and explanation

Answer B: \(\frac{1}{6}\)

The rectangle is divided into \(6\) equal parts. One part is shaded, so the shaded fraction is \(\frac{1}{6}\) (one-sixth).

practice

5 questions
G3-C03-T01-Q004 About 1 min

A circle is divided into \(3\) equal slices. One slice is one unit fraction. Which fraction name is correct?

  1. A \(\frac{1}{2}\)
  2. B \(\frac{1}{3}\)
  3. C \(\frac{3}{3}\)
  4. D \(\frac{2}{3}\)
Check answer and explanation

Answer B: \(\frac{1}{3}\)

A circle with \(3\) equal parts has each part as \(\frac{1}{3}\) (one-third).

G3-C03-T01-Q005 About 1 min

Sam cuts a brownie into \(2\) equal pieces. What fraction is one piece?

  1. A \(\frac{1}{3}\)
  2. B \(\frac{2}{2}\)
  3. C \(\frac{1}{2}\)
  4. D \(\frac{3}{2}\)
Check answer and explanation

Answer C: \(\frac{1}{2}\)

A whole divided into \(2\) equal parts gives each part the name \(\frac{1}{2}\) (one-half).

G3-C03-T01-Q006 About 1 min

Look at the picture. The rectangle is divided into equal parts, and some parts are shaded. Which fraction is shaded?

Unit Fractions visual for G3-C03-T01-Q006
  1. A \(\frac{1}{4}\)
  2. B \(\frac{4}{1}\)
  3. C \(\frac{3}{4}\)
  4. D \(\frac{2}{4}\)
Check answer and explanation

Answer A: \(\frac{1}{4}\)

The rectangle has \(4\) equal parts, and \(1\) is shaded, so the fraction is \(\frac{1}{4}\) (one-fourth).

G3-C03-T01-Q007 About 1 min

A rope is divided into \(8\) equal sections. What unit fraction describes one section?

  1. A \(\frac{1}{8}\)
  2. B \(\frac{8}{1}\)
  3. C \(\frac{2}{8}\)
  4. D \(\frac{1}{9}\)
Check answer and explanation

Answer A: \(\frac{1}{8}\)

When a whole is divided into \(8\) equal parts, one part is the unit fraction \(\frac{1}{8}\) (one-eighth).

G3-C03-T01-Q008 About 1 min

Which picture shows \(\frac{1}{3}\) shaded?

Unit Fractions visual for G3-C03-T01-Q008
  1. A Picture A
  2. B Picture B
  3. C Picture C
  4. D None of these
Check answer and explanation

Answer C: Picture C

Picture C shows a rectangle divided into \(3\) equal parts with \(1\) part shaded, which is \(\frac{1}{3}\).

exit

3 questions
G3-C03-T01-Q009 About 1 min

A pie is cut into \(6\) equal slices. Ava eats one slice. What fraction of the pie does Ava eat?

  1. A \(\frac{5}{6}\)
  2. B \(\frac{6}{6}\)
  3. C \(\frac{1}{6}\)
  4. D \(\frac{1}{5}\)
Check answer and explanation

Answer C: \(\frac{1}{6}\)

The pie has \(6\) equal slices. Ava eats \(1\) slice, so she eats \(\frac{1}{6}\) of the pie.

G3-C03-T01-Q010 About 1 min

Look at the circle. It is divided into \(4\) equal parts. One part is shaded. What fraction is shaded?

Unit Fractions visual for G3-C03-T01-Q010
  1. A \(\frac{1}{2}\)
  2. B \(\frac{1}{4}\)
  3. C \(\frac{1}{3}\)
  4. D \(\frac{4}{4}\)
Check answer and explanation

Answer B: \(\frac{1}{4}\)

The circle is divided into \(4\) equal parts. One part is shaded, so the shaded fraction is \(\frac{1}{4}\) (one-fourth).

G3-C03-T01-Q011 About 1 min

A sheet of paper is folded to make \(2\) equal halves. What unit fraction is one half?

  1. A \(\frac{1}{3}\)
  2. B \(\frac{2}{1}\)
  3. C \(\frac{1}{2}\)
  4. D \(\frac{1}{1}\)
Check answer and explanation

Answer C: \(\frac{1}{2}\)

Folding a sheet into \(2\) equal parts creates two halves, each one is \(\frac{1}{2}\).

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