Fractions Fundamentals

Overview

In this lesson, students identify unit fractions as equal parts of a whole and represent them using shapes and real objects. They will build on prior learning about sharing and parts of a whole by creating and matching halves, thirds, quarters, fifths, and tenths.

Learning intentions

• WALT recognise unit fractions as equal parts of a whole.
• WALT represent and describe halves, thirds, quarters, fifths and tenths using concrete materials and diagrams.
• WALT create simple fractions of a set by dividing a whole into equal parts and counting the parts.

Success criteria

• I can name a unit fraction for equal parts (for example, one half, one third, one quarter).
• I can show a given unit fraction using a shape or real objects and explain how I know it is equal.
• I can write a fraction and match it to a picture or model.
• I can combine or relate fractions with the same denominator to show more than one unit fraction.

Curriculum links

• Number — VC2M3N03: students recognise and represent unit fractions (including 1/2, 1/3, 1/4, 1/5, 1/10) and their multiples in different ways.
• Number — VC2M3N03: students represent unit fractions and their multiples (for example, reassemble parts to show equivalence or “how many of the unit fractions”).
• Number — building conceptual understanding of “equal parts” using concrete models, consistent with VC2M3N03 expectations.

Lesson structure (60 minutes)

1. 0–5 min · Hook (real-life fraction). Teacher shows a picture or brings out a real item (e.g., an orange or paper “pizza slice” template) and asks how we could share it into equal parts. Students make a quick think-pair-share: “What could we call one equal part?”

2. 5–15 min · Direct teach (unit fraction meaning). Teacher demonstrates one whole shape (circle/grid) and models dividing into equal parts for 1/2, then 1/3, then 1/4, using “equal parts” language and pointing to each part. Students participate using mini-whiteboards to write the fraction for the next model shown, then repeat orally: “one ___.”

3. 15–25 min · Guided practice (match the fraction). Teacher sets up a “fraction gallery” station or table: students rotate through sets of cards showing a model (shaded/unshaded) and a matching fraction label. Students match each model to the correct unit fraction and justify with one sentence stem: “It is equal parts because…”

4. 25–38 min · Create with real objects (hands-on cutting/sharing). Teacher gives each group materials: paper strips/circles on which equal partitions are pre-marked, plus counters/coloured paper squares. Students choose one model and create:

• one half, one third, one quarter, one fifth, or one tenth They then record a diagram and the fraction as a number and words (for example, 1/5 — one fifth). Teacher circulates, checks equal sharing, and prompts: “How many equal parts are in your whole? How many are shaded?”

5. 38–48 min · Connect to multiples (same denominator). Teacher asks: “If one fifth is one part, what is two fifths?” Using the same partitioned model, teacher shades 2/5, 3/5, and 4/5, emphasising that the denominator stays the same because the whole is divided into equal parts. Students complete 3 quick prompts on their worksheet: shade 2/4, write the fraction, and explain “how you know.”

6. 48–56 min · Whole-class share (reasoning and misconceptions). Teacher selects 2–3 student examples and discusses common misconceptions (unequal parts, denominator mismatch, counting shaded parts incorrectly). Students respond using a “thumbs + sentence” check: “I agree because…” or “I disagree because…”

7. 56–60 min · Exit ticket (check understanding). Students answer two items:

• Item A: Show a simple diagram divided into 5 equal parts with 1 shaded; write the fraction.
• Item B: Show 4 equal parts with 2 shaded; write the fraction and one sentence explaining equality.

Resources

• Pre-partitioned paper circles and rectangles for halves, thirds, quarters, fifths, and tenths
• Real objects for demonstration (orange/counters/biscuit pretend pack) if available
• Coloured pencils or markers for shading parts
• Counters or paper squares for representing parts
• Fraction word cards (half, third, quarter, fifth, tenth)
• Student worksheet (match, create, and “multiple of the same denominator” section)
• Mini-whiteboards and markers
• Exit ticket slips

Assessment

• Formative during guided practice: teacher listens for correct unit-fraction naming and equality explanations.
• Observation during hands-on creating: checks that students divide into equal parts and shade the correct number of parts.
• Exit ticket: evaluates correct fraction naming for 1/5 and 2/4 and the ability to justify “equal parts.”

Differentiation

• Support for students needing scaffolding: provide sentence starters (“It is equal because…”, “There are ___ equal parts in the whole.”) and partially completed diagrams with pre-marked equal partitions.
• Support for emerging understanding: limit choices to two denominators first (for example, halves and quarters), then extend to others once equality is secure.
• Extension for students who grasp quickly: ask them to create and explain a fraction using a real object scenario (e.g., “We made 10 equal cupcakes. If we take 3, what fraction is that?”).
• Language support: use consistent terms (“unit fraction”, “equal parts”, “the whole is divided into…”) and allow oral responses if writing is difficult.