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MathematicsFractionsAges 5–6

Finding halves and quarters (age 5+)

Recognise, find, and name a quarter as one of four equal parts of an object, shape, or quantity

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Teaching Table · Reviewed guide

Set out your lesson

“A quarter is one of four equal parts. First make two equal halves, then fold again so you get four matching pieces. With objects, share into four equal groups.”

Bring to the table

  • Square paper for folding into fourths
  • 12 large counters or blocks
  • A half-only fold from the previous lesson if available
Full guide and materials
  • Square paper for folding into fourths
  • 12 large counters or blocks
  • A half-only fold from the previous lesson if available
  1. Step 1. Fold the square in half, then in half again so four parts match. Open and name one part “a quarter.”
  2. Step 2. Point to one quarter only, then to two quarters, noticing two quarters make a half.
  3. Step 3. Share 12 counters into four groups of 3. Say “a quarter of 12 is 3.”
  4. Step 4. Ask your child to point to just one quarter of the folded square and one group of 3.
  5. Quick check. Success means your child identifies one quarter of a folded square and finds a quarter of 12 objects as four equal groups of 3.

Worked example. Square folded into four matching pieces → each piece is a quarter. 12 counters in groups of 3 → quarter of 12 is 3.

Optional challenge. Find a quarter of 8 and explain whether two quarters are the same as one half.

What to notice. Save a photo of the four-part fold and four groups of 3, or a parent note: “quarter of 12 = 3.”

Compare teaching approaches

Teaching approaches

Gakuva’s recommended starting approach is selected. You can still compare every option.

1 approach

Selected Default Gakuva

A quarter is one of four equal parts. First make two equal halves, then fold again so you get four matching pieces. With objects, share into four equal groups.

Spend about 10–15 minutes folding a square into four equal parts and sharing 12 objects into four equal groups.

Family records and proof options

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Learning resources

Reviewed external links that reinforce this concept. They do not replace Gakuva’s teaching approach.

Toy Theater · Practice link — not the full lesson

Fraction Bars

Adult-guided fraction bars for showing halves and quarters of one whole. Keep to 1/2 and 1/4 shading for this concept.

Free · no login · ads

Review and open practice
Before you open

Save screenshots of one whole split into halves and into quarters, plus a parent note naming which shows half/quarter.

Opening this link does not save learning or assess mastery.

Open practice (new tab)
Source, access and review notes

Adult-guided fraction bars for showing halves and quarters of one whole. Keep to 1/2 and 1/4 shading for this concept.

Save screenshots of one whole split into halves and into quarters, plus a parent note naming which shows half/quarter.

Free · no login · ads

Unknown — link only

Visnos · Practice link — not the full lesson

Fraction Wall

Interactive fraction wall for comparing half and quarter rows to one whole. Stay on simple unit fractions for age 5–6.

Free · no login · no ads observed

Review and open practice
Before you open

Save a wall screenshot highlighting 1/2 and 1/4 and a parent note that two quarters make one half.

Opening this link does not save learning or assess mastery.

Open practice (new tab)
Source, access and review notes

Interactive fraction wall for comparing half and quarter rows to one whole. Stay on simple unit fractions for age 5–6.

Save a wall screenshot highlighting 1/2 and 1/4 and a parent note that two quarters make one half.

Free · no login · no ads observed

Unknown — link only

Check understanding

  • Fold a shape into four equal parts and identify each as 'a quarter'
  • Find a quarter of 12 objects by sharing into 4 equal groups
  • Identify whether a shape has been divided into quarters (four equal parts)
“If you fold a square piece of paper into four equal parts, can your child tell you that each part is a quarter — and point to just one quarter?”

Curriculum record

Type
Conceptual
Subject
Mathematics
Domain
Fractions
Age range
Ages 5–6

Standards

uk-nc-2013:Maths/Y1/F/2