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Grade 3 · Mathematics · 25 minutes

Fractions of a whole

Draw one rectangle as the whole. The denominator counts equal parts; the numerator counts selected parts.

Mr. S Teaches · Starter mini-lesson · elem-3-fractions-of-a-whole

Learning objective

Explain and practice fractions of a whole using the activity and evidence, then show the reasoning behind an answer.

Gather your materials

  • Paper and pencil
  • Counters, blocks or paper pieces
  • A ruler, clock model or grid when named in the steps

Use the items named in the teaching steps; paper models or adult-prepared photographs can replace physical equipment.

Common Core skill focus

3.NF.A.1

Explain fractions as equal-sized parts of a whole.

Read the official standard ↗

Code and grade verified 2026-11-03. This mini-lesson addresses a selected skill, not the entire standard.

Teach it step by step

  1. Draw one rectangle as the whole.
  2. Partition it into four equal-area parts.
  3. Shade three parts.
  4. Name the part size and then count the shaded parts.

Watch, notice, discuss

Video choices for this lesson

2 choices

Preview a video, then choose what fits your learners. “Show to class” opens a larger view; use the player’s play and full-screen controls when you’re ready.

Teacher preview needed. Check the language, level and length before showing. YouTube may show ads or related videos.

After watching

Draw a whole in equal parts. Explain what the numerator and denominator count.

An external player loads only after you choose Preview or Show to class. Playback connects to YouTube. Videos belong to their creators; availability and embedding can change.

Make the thinking visible

Example to work through together

Each part is 1/4; three parts make 3/4. The denominator names the unit and the numerator counts units.

Try the starter activity

Partition a rectangle into 4 equal parts and shade 3.

Student practice

Draw a whole divided into six equal parts and shade five.

Quick check for understanding

What fraction is shaded?

Sample answer and teacher guidance

Sample answer: 3/4

Listen or look for: 5/6 is shaded. Do not accept six unequal pieces as sixths.

Invite the learner to explain, demonstrate, draw or dictate their reasoning. Revisit a teaching step when the explanation is unclear.

Make it work for your learner

A little more support

Provide a prepartitioned rectangle and cover one part at a time.

An additional challenge

Place 1/4, 2/4, 3/4 and 4/4 on a number line from 0 to 1.