Unit Fractions Exploration

Overview

In this lesson, students explore unit fractions such as one half, one third, and one quarter. They build and compare models using everyday materials and connect fractions to real-life situations.

Learning intentions

• Students will model unit fractions using paper folding, fraction tiles, and arrays with materials.
• Students will explain what a unit fraction means as one equal part of a whole.
• Students will compare unit fractions by reasoning about the size of the parts.
• Students will represent unit fractions in drawings and short explanations.

Success criteria

• I can make a model that shows one half, one third, or one quarter as equal parts.
• I can match a written fraction (½, ⅓, ¼) to a model and label the parts.
• I can describe why two models show the same unit fraction or different sizes.
• I can explain a real-life example where one part of a whole is a unit fraction.

Curriculum links

• Fractions as equal parts of a whole and how to represent them.
• Comparing fractions with related reasoning about the size of parts.
• Using concrete materials and drawings to represent mathematical ideas.
• Communicating mathematical thinking using appropriate language (part, whole, equal, unit fraction).

Lesson structure (45 minutes)

1. 0–5 min | Starter: Fraction talk

• Show three pictures: a half, a third, and a quarter (simple and clear).
• Students do a quick “Which is bigger?” vote and justify with one sentence using words like equal parts and whole.

2. 5–12 min | Teacher modelling: Make one half

• Demonstrate how to create one half using paper folding or a fraction strip: fold into two equal parts, then shade one part.
• Emphasise: “A unit fraction is one equal part of a whole.”
• Repeat briefly for one third and one quarter using a different model (fold into three, fold into four).

3. 12–26 min | Stations: Build and match

• Students rotate through two or three stations (teacher may keep the group rotating together to suit class flow).
• Each station includes tasks that require building, labelling, and explaining.
• Students record outcomes on a simple sheet: “I made 1/2 because…”, “I made 1/3 because…”, “I made 1/4 because…”.

Station options (choose 2–3 depending on time and materials):

• Paper-fold station: Use paper squares to fold into halves, thirds, or quarters; shade one part; label with the fraction.
• Fraction tiles station: Build a whole using tiles; take one unit fraction; place it in a “match” area with fraction cards.
• Real-life match station: Match fraction cards to scenario cards (e.g., “1/2 of a pizza”, “1/3 of a class roster”, “1/4 of a garden bed”) and draw a quick representation.

4. 26–33 min | Guided comparison: Are the parts equal?

• Bring the class together with two models (e.g., one half vs two quarters on the same whole representation).
• Ask: “How many equal parts are in the whole?” and “Is each part the same size?”
• Clarify that unit fractions have the same numerator as one, and the denominator tells the number of equal parts in the whole.

5. 33–41 min | Independent task: Draw and explain

• Students choose one unit fraction (½, ⅓, or ¼) and:
• draw a whole divided into equal parts
• shade exactly one part
• write a 1–2 sentence explanation of what their model shows.
• Teacher circulates to check correct equal partitioning and correct shading.

6. 41–45 min | Exit ticket: Quick check

• Provide three small prompts (one each for ½, ⅓, ¼) with blank spaces.
• Students answer: shade the correct part and circle the fraction they used, plus one word explanation (e.g., equal, whole, part).

Resources

• Paper squares, scissors (optional), and crayons/markers
• Fraction tiles or fraction strips for halves, thirds, quarters
• Fraction cards: 1/2, 1/3, 1/4, plus matching blank cards for labels
• Scenario cards for real-life examples (pizza, chocolate bar, garden bed, class group)
• Student recording sheet with sentence starters: “A unit fraction is…”, “I know this is 1/3 because…”
• Exit ticket sheet with mini diagrams or blank grids
• Visual projector/board for teacher demonstrations

Assessment

• Formative: teacher observation during stations—correct equal partitioning and correct fraction labelling.
• Formative: guided discussion for comparison—students explain size relationships using unit-fraction language.
• Summative (light): exit ticket—accuracy shading and correct matching of fraction to model.

Differentiation

• Support:
• Provide pre-folded examples and sentence starters with word banks (equal parts, whole, one part).
• Pair students strategically so one partner can read/explain while the other models.
• Use fewer scenario options and more concrete tiles for students who need extra structure.
• Extension:
• Ask students to create an “explain it” comparison: “How is 1/2 different from 1/3 on the same whole?”
• Challenge them to represent a real-life example that could be more than one unit fraction (e.g., 2/4) while still identifying the unit parts.
• EAL:
• Use visuals consistently (diagrams, cards) and model sentence frames: “This shows one ___ because the whole is split into ___ equal parts.”
• Keep instructions short; repeat and point to each station task.
• SEN:
• Allow tactile modelling with tiles and reduced writing; provide a verbal response option recorded by the teacher.
• Provide a clear “check” step: count equal parts in the model before shading.