Equal Parts and Halves

Overview

Lesson 3 of 10 in Understanding Fractions Together. Students explore how a whole can be divided into equal parts, then identify and create halves and quarters using visual, tactile and practical models.

Learning intentions

• WALT identify equal and unequal parts of a whole.
• WALT recognise and name halves and quarters.
• WALT divide familiar shapes into equal halves and quarters.
• WALT explain how we know parts are equal.

Success criteria

• I can check whether parts are equal in size.
• I can divide a shape into two equal parts called halves.
• I can divide a shape into four equal parts called quarters.
• I can show and explain my thinking using folding, cutting, drawing or words.

Curriculum links

• Recognise and describe halves and quarters as equal parts of a whole.
• Represent familiar fractions using materials, drawings and folding.
• Partition shapes and objects into equal parts and describe the parts.
• Use mathematical language to explain, compare and justify ideas.

Lesson structure (45 minutes)

1. 0–5 minutes – Welcome and visual hook Open with the equal-parts introduction slides. Show a picture of a sandwich or chocolate block divided in different ways and ask: “Which pieces would be fair to share? How do you know?” Introduce the WALT and explain that equal means “the same size”, not simply “the same number of pieces”.

2. 5–12 minutes – Teacher modelling: equal or unequal? Display several rectangles and circles divided into parts. Invite students to use thumbs up/down or a two-card response to decide whether the parts are equal. Model folding a paper rectangle in half, opening it and tracing the fold. Emphasise that halves are two equal parts and quarters are four equal parts. Return to the equal-parts introduction slides for the visual examples and discussion prompts.

3. 12–20 minutes – Hands-on folding and cutting Give each student paper shapes, child-safe scissors and a pencil. Students fold a rectangle in half, press the crease, open it and cut along the crease with support as needed. They then fold a new shape into quarters by folding in half twice. Students label the parts “half” or “quarter”. Check folds by placing the pieces on top of one another to see whether they match.

4. 20–30 minutes – Guided practical investigation In pairs, students use the fraction circles cut-out pack to build and compare wholes, halves and quarters. Ask: “How many equal pieces make one whole?” and “What would happen if one piece were bigger?” Students sort examples into equal parts and not equal parts, explaining their decisions to a partner. Encourage students to use the words whole, equal, half, halves, quarter and quarters.

5. 30–39 minutes – Independent or supported practice Distribute the equal parts and fractions worksheet. Students identify shaded halves and quarters, circle shapes divided into equal parts, and draw lines to divide shapes into halves and quarters. Students who need a reduced writing load may demonstrate with cut-out shapes or complete selected questions while explaining answers orally. Circulate and assess whether students are making equal, rather than merely visually pleasing, partitions.

6. 39–45 minutes – Share, review and exit check Open the equal-parts review slides and revisit the success criteria. Invite two or three students to show a shape divided into halves or quarters and explain how they checked it was equal. For the final check, ask each student to draw a rectangle divided into quarters or show one using the paper pieces, then name one quarter. Record responses for the next lesson.

Resources

• the equal-parts introduction slides and the equal-parts review slides
• the equal parts and fractions worksheet
• the fraction circles cut-out pack
• Plain paper or pre-cut rectangles and circles
• Child-safe scissors
• Pencils, coloured pencils and glue
• Two response cards or thumbs-up/thumbs-down prompts
• Individual workspaces and visual vocabulary cards
• Optional whiteboard or interactive display

Assessment

• Observe folding and cutting: can the student create two or four parts that are equal?
• Listen for accurate use of whole, equal, half, halves, quarter and quarters.
• Review worksheet responses and the final drawing or practical demonstration, noting whether errors relate to understanding, motor control or communication.

Differentiation

• Provide pre-drawn or partially folded templates, larger shapes, thicker cutting lines and hand-over-hand or peer support for students with fine-motor needs.
• Use tactile paper folding, overlapping pieces and the fraction circles to make equality visible and physically checkable.
• Reduce the number of worksheet items, read instructions aloud and allow students to answer by pointing, matching, drawing or speaking. Pair verbal instructions with gestures and clear visual examples for EAL learners.
• Extend confident students by asking them to find more than one way to divide a shape into halves or quarters and explain why a diagonal or uneven division may or may not create equal parts.