Fraction Foundations

Overview

Students explore what fractions mean by relating numerator and denominator to equal parts of a whole. Using visuals and a quick fraction game, they build understanding that fractions name parts and wholes.

Learning intentions

• Students will understand that a fraction describes how many equal parts are taken.
• Students will identify the numerator and denominator in a fraction.
• Students will represent simple fractions using diagrams and compare parts to wholes.
• Students will use fraction language accurately during a game and a short check.

Success criteria

• I can explain what the denominator tells me about the number of equal parts.
• I can explain what the numerator tells me about the number of parts taken.
• I can draw and interpret unit and non-unit fractions (e.g., halves, quarters, thirds, and simple non-unit examples).
• I can match a fraction to a model (shaded/unshaded parts) and justify my choice.

Curriculum links

• Fractions and percentages: understand fractions as parts of whole and represent them visually.
• Number and number processes: use fraction notation and read numerator/denominator correctly.
• Mathematical reasoning: explain thinking using appropriate mathematical language.
• Problem solving and communication: justify answers and interpret models.

Lesson structure (30 minutes)

1. 0–4 min — Hook with a whole

• Display a picture of a chocolate bar split into equal parts (start with quarters or halves).
• Ask: “If I take 1 part, what fraction is it? If I take 3 parts, what fraction is it?” Listen for “one out of …” language and correct towards numerator/denominator.

2. 4–10 min — Build the fraction meaning

• Introduce the fraction as two numbers: the denominator shows the total equal parts; the numerator shows how many are shaded/taken.
• Use a quick teacher-led sequence: show halves (2 parts), then quarters (4 parts), then simple thirds (3 parts). For each, state and point to numerator/denominator.
• Emphasise: “The denominator is the bottom because it tells you how the whole is divided.”

3. 10–16 min — Model and talk (guided practice)

• Give pairs a small set of fraction cards and blank grids with drawn partition lines (e.g., 2-part, 3-part, 4-part wholes).
• Students choose a fraction card (e.g., 1/2, 3/4, 2/3), draw the matching shading, and write the sentence: “The denominator tells me …, the numerator tells me …”.
• Teacher circulates, checking that parts are equal and that students use numerator/denominator correctly.

4. 16–22 min — Fraction game: “Part or Whole”

• Use a fast game with the class on board/screen and individual mini whiteboards.
• Teacher flashes a shaded model for 2 seconds, then shows the unshaded version and asks: “What fraction is shaded? What’s the numerator? What’s the denominator?”
• Students answer on mini whiteboards. Award points for correct fraction and correct explanation (not just the final fraction).

5. 22–27 min — Consolidation: matching and explaining

• Students complete a short independent check: match 6 fraction symbols to 6 models (half/third/quarter and one simple non-unit mix like 3/4 or 2/3).
• After choosing each match, they add a one-sentence justification using the stem: “The denominator is … because … The numerator is … because …”.

6. 27–30 min — Exit ticket and recap

• Exit ticket (1 question): show a single partitioned whole (e.g., 4 equal parts) with 2 shaded; ask for the fraction and the numerator/denominator.
• Close by reiterating: “Fractions are parts of a whole, named by how many equal parts and how many you take.”

Resources

• Visual slides or printed images of wholes split into equal parts (2, 3, 4 parts)
• Fraction cards with symbols (only simple fractions for this lesson: halves, thirds, quarters; plus simple non-unit examples like 3/4, 2/3)
• Mini whiteboards and pens
• Blank grids/models for partitioning (teacher-made or worksheet)
• Pair set of matching strips (fraction symbol + model options)
• Exit ticket slips
• Timer for the game rounds
• Teacher display board for numerator/denominator labelling

Assessment

• Formative: teacher observations during pair drawing and sentence-writing; check equal partitioning and correct numerator/denominator language.
• Formative: mini whiteboard responses in the game, focusing on explanation as well as the fraction symbol.
• Summative-for-today: exit ticket accuracy and correct identification of numerator and denominator.

Differentiation

• Support: provide fraction models already partitioned; include sentence stems with word banks (“denominator”, “equal parts”, “numerator”, “shaded parts”).
• Support: start with denominators of 2 and 4 only, then add thirds if ready; allow students to use hands-on shading overlays.
• Extension: include one additional model with 5 equal parts (e.g., fifths) if students confidently generalise; ask students to compare two fractions by interpreting numerators/denominators on matching wholes.
• EAL/SEN: use consistent language and visual labels (top/bottom arrows on the fraction). Encourage partner talk with structured prompts and allow additional time for drawing rather than writing symbols first.