Designing Shape Solutions

Overview

Lesson 14 of 15 in Shapes, Space and Reasoning. In a group of five, learners apply geometric ideas to design and create a useful visual or 3D solution, such as a playground map, structure, repeating pattern or model. They will explain how their design meets requirements and revise it using feedback.

Learning intentions

• WALT apply knowledge of 2D and 3D shapes, lines, angles and spatial relationships.
• WALT plan and create a useful visual or 3D solution for a specific purpose.
• WALT use mathematical language to label and explain our design choices.
• WALT respond to feedback by making and explaining revisions.

Success criteria

• I can meet the stated shape and spatial criteria.
• I can accurately label geometric features in my design.
• I can explain how my design is useful and how it changed during the lesson.
• I can contribute ideas and communicate respectfully in my group.

Curriculum links

• Geometry: identify, describe, compare and construct 2D shapes and 3D objects using properties such as sides, faces, edges, vertices, angles and symmetry.
• Position and orientation: use maps, routes, direction, location and spatial language to communicate ideas.
• Transformation and pattern: recognise and create repeating patterns, symmetry and geometric movement where appropriate.
• Mathematical communication and problem-solving: select strategies, represent ideas, justify decisions and evaluate solutions.

Lesson structure (60 minutes)

1. 0–5 minutes – Engage and notice Open with the design challenge hook. Show a striking image of a playground map beside a simple model and ask: “How can shapes make a design useful, safe and easy to understand?” Invite learners to identify visible shapes, lines, angles, routes and spatial features. Share the WALT and success criteria visually and in NZSL where appropriate.

2. 5–12 minutes – Unpack the brief Present the criteria and examples. Explain that each group will choose one format: a playground map, structure, pattern or model. Their solution must include at least four named geometric features, clear labels, a stated purpose and one spatial requirement, such as a route, position, scale relationship or symmetry. Model how to turn a vague idea into a labelled sketch.

3. 12–18 minutes – Plan collaboratively Give each group a role: designer, geometry checker, materials manager, recorder and presenter. Distribute the line and shape planning template and allow learners to choose a visual or 3D format. Groups sketch, select shapes and agree on their purpose and requirements. Encourage visual planning, pointing, drawing, writing or NZSL; do not require spoken discussion.

4. 18–40 minutes – Create and label Groups construct their solution using paper, card, blocks or drawing materials. Refer back to the creation steps and geometry reminders as needed. The teacher conferences with each learner: “Which shape or line is this?” “Where is the route?” “How does this feature make the design useful?” Learners add labels such as parallel lines, right angle, triangle, rectangular prism, face, edge, vertex or line of symmetry.

5. 40–48 minutes – Test and improve Groups use the criteria to check their work. Pair groups briefly, or display each design for a silent visual gallery walk. Provide feedback using “I notice…” and “I wonder…” statements. Learners record one suggested improvement and make at least one revision, such as correcting a label, adding a missing feature, clarifying a route or improving symmetry.

6. 48–56 minutes – Present and explain Each group gives a two-minute presentation using the design as a visual support. Learners explain the purpose, identify geometric features, show how the criteria were met and describe one revision. Allow rehearsal and presentation in NZSL, spoken language, drawing, captions or a combination. Class members ask one clarifying question using accessible communication routines.

7. 56–60 minutes – Reflect and connect Revisit the success criteria and reflection prompt. Individually complete the design reflection and feedback sheet, drawing or writing: one criterion met, two geometric features used, and one revision explained. Preview the final lesson, where learners will refine, share or evaluate their solutions.

Resources

• Teacher-prepared slides covering the hook, criteria, examples, instructions, prompts and plenary
• the design reflection and feedback sheet
• the line and shape planning template
• Paper, card, grid paper and large sheets
• Rulers, pencils, coloured pens and glue
• Scissors, tape, modelling materials or construction blocks
• Examples of a playground map, repeating pattern and simple 3D structure
• Visual timer and displayed success criteria
• Devices or camera, if available, for photographing completed designs

Assessment

• Observe planning and construction, noting whether learners select and use accurate geometric language.
• Check each design against the criteria: purpose, required shapes or features, spatial requirement, labels and revision.
• Use the reflection sheet and presentation to assess learners’ ability to explain choices and respond to feedback.

Differentiation

• Offer a choice of drawing, map, pattern or 3D model; provide model examples and allow learners to work individually or collaboratively within the group.
• Support learners with a partially completed planning template, a reduced number of requirements, shape names with visuals, pre-cut materials and teacher conferencing.
• For EAL learners and learners requiring additional support, use gestures, diagrams, labelled examples, sentence frames and repeated visual instructions. Accept drawing, captions, NZSL or recorded explanations.
• Provide accessible group communication: face the speaker, maintain clear visibility for NZSL, use agreed turn-taking signals and allow extra processing time.
• Extend advanced learners by requiring symmetry, a connected route, a scale relationship, a repeating pattern, or specified numbers of faces, edges and vertices. Ask them to justify why their design is efficient or safe.