Fractional Parts Today

Overview

In this lesson, students identify and represent simple fractions using Think Boards and diagrams of shapes and small collections. They will learn to connect the fraction name to what is equal and counted.

Learning intentions

• Students will be able to describe what a fraction means using “equal parts” language.
• Students will identify simple fractions (such as halves, quarters and thirds) from drawings of shapes and from collections.
• Students will represent a given fraction on a Think Board using a diagram or array of objects.
• Students will explain their thinking using clear mathematical words.

Success criteria

• I can identify which fraction of a shape or collection is shown and say the name (for example, “3 out of 4”).
• I can show a fraction by partitioning or sharing into equal parts and marking the correct part.
• I can match a fraction symbol or verbal form to the correct diagram and justify why it is correct.
• I can use counting and equal-part reasoning to check my answer.

Curriculum links

• Students use understanding of fractions as equal parts of a whole and of a collection.
• Students represent and interpret simple fractions in everyday contexts and diagrams.
• Students use efficient counting strategies to determine “how many out of how many.”
• Students communicate mathematical reasoning using appropriate language and representations.

Lesson structure (45 minutes)

1. 5 mins — Warm-up: Fraction talk and quick checks Teacher shows 2–3 quick diagrams (paper-fold style shapes) on the board. Students use Think Boards to vote: “What fraction is coloured?” Students share one strategy for each (equal parts first).

2. 8 mins — Model: Equal parts in shapes Teacher draws a rectangle or circle and partitions it into equal parts (e.g., halves and quarters). Teacher labels parts and highlights one part at a time. Students hold up Think Boards showing the fraction name (verbal and/or symbol) as the teacher reveals the coloured region. Emphasise: “The whole is split into equal parts.”

3. 10 mins — Guided practice: Fractions from diagrams Students work with teacher on 4 short tasks (each shown for 1–2 minutes):

• Task type A: Identify a coloured part in a partitioned shape.
• Task type B: “Which part is shaded?” where shading shows one part of equal partitions. Students record on Think Boards: fraction name and a short justification sentence starter (e.g., “It is __ because the shape is divided into __ equal parts.”).

4. 7 mins — Guided practice: Fractions from collections Teacher places a small set of objects (or shows a picture of counters) representing a whole collection. For example: 8 counters shown as 1 whole. Teacher asks: “What is 1 out of 2? What is 1 out of 4?” Students respond with Think Boards, then explain “how many are in one equal part.” Keep numbers small and manageable for Year 3–4 (for example, wholes of 4, 6, or 8).

5. 10 mins — Independent/partner task: Represent the fraction Students choose 2 of 3 task cards (teacher prepares). Each card asks them to represent a given fraction on a grid or shape outline using colouring or marking. Examples:

• “Show 1/2 of the circle.”
• “Show 3/4 of the counters.”
• “Draw a shape divided into equal parts and shade 2/3.” Students work in pairs but each student must submit a Think Board response with a clear diagram or equal-part marking.

6. 3 mins — Rapid share: Show, tell, and check Two or three students (chosen for different representations) show their Think Board. Teacher prompts: “Where do you see the equal parts?” and “How do you know you have the correct number of parts?”

7. 2 mins — Exit ticket: One must-do fraction Students complete one final Think Board prompt: a partitioned shape with one part shaded and the question “What fraction is shaded?” They also add a check: “It is out of __ equal parts.”

Resources

• Think Boards (one per student) and markers/erasers
• Coloured paper or digital images of partitioned circles/rectangles (halves and quarters; include simple thirds where appropriate)
• Pre-made shape templates divided into equal parts (half/quarter/third options)
• Small collections of counters (arranged and photographed if needed), up to 12 counters
• Task cards for representing fractions (shape and collection versions)
• Student recording sheet (optional) for writing one sentence justification
• Teacher slides/whiteboard space for quick warm-up diagrams
• Timer for each timed task segment

Assessment

• Formative assessment through Think Board responses during warm-up and guided practice (correct fraction naming and equal-part reasoning).
• Observation of students’ explanations during sharing (ability to justify using “equal parts” and counting).
• Exit ticket check for identifying the correct fraction from a diagram.

Differentiation

• Support: Provide extra partitioned templates already divided into equal parts; allow students to use counters to “build” the fraction before writing the answer. Use sentence starters for justification.
• Support (EAL): Encourage students to point to parts and use number phrases (“__ out of __”) alongside fraction words; accept first-language explanations initially, then translate key terms as a class.
• Extension: Include a task where students must compare two fractions shown on different shapes (e.g., identify which is larger and justify with equal-part or “same whole” reasoning) using only simple denominators.
• SEN: Reduce cognitive load by limiting choices to two fractions per task (for example only halves and quarters on that day) and increase time for independent drawing.