Discovering Transformations

Overview

Lesson 1 of 3 in Transformations and Tessellations. Students build an initial understanding of reflection, rotation, translation and tessellation, using everyday movement words and precise mathematical language to describe what they see.

Learning intentions

• WALT identify reflection, rotation, translation and tessellation.
• WALT describe transformations using the words flip, turn, slide, repeat and pattern.
• WALT explain how shapes move or fit together.
• WALT listen to and build on others’ mathematical explanations.

Success criteria

• I can explain what reflection, rotation, translation and tessellation mean.
• I can recognise and classify examples of each term.
• I can draw and label one example of each transformation.
• I can use mathematical language such as flip, turn, slide, repeat and pattern.

Curriculum links

• Geometry: recognise, describe and represent transformations of shapes, including reflections, rotations and translations.
• Geometry: identify repeating patterns and shapes that tessellate without gaps or overlaps.
• Mathematical communication: use diagrams, symbols and precise vocabulary to explain mathematical thinking.
• Key competencies: thinking; using language, symbols and texts; relating to others.

Lesson structure (45 minutes)

1. 0–2 min – Settle and introduce the learning intention Display the learning intention and success criteria in the learning intention and success criteria slides. Tell students they will be “shape detectives” looking for flips, turns, slides and repeating patterns. Ask students to quietly demonstrate a flip, turn and slide with one hand.

2. 2–10 min – I do: watch, notice and model Play the two short transformation videos from the transformation video prompt slides, pausing between them for students to name movements they notice. On the main whiteboard, model a shape being reflected across a line, rotated around a point and translated to a new position. Link each formal term to familiar language: reflection is a flip, rotation is a turn, and translation is a slide. Briefly introduce tessellation as shapes repeating to cover a surface without gaps or overlaps.

3. 10–25 min – We do: classify and justify Draw or display a selection of simple examples on the whiteboard: a shape and its mirror image, a shape turned around a point, the same shape slid across the page, and a repeating tile pattern. Include one or two non-examples, such as shapes with gaps or overlapping shapes. Use the classify-and-discuss slides to reveal examples one at a time. Students show a hand signal or point to a classroom word display to suggest reflection, rotation, translation or tessellation, then explain: “I think it is a ___ because…”. Encourage classmates to agree, challenge respectfully or add detail. Revoice imprecise answers using terms such as line of reflection, turn, direction, distance and repeated pattern.

4. 25–28 min – Explain the independent task Model the page layout in the independent-task instruction slide. Distribute the transformations recording worksheet or ask students to complete the equivalent task in their maths books. Clarify that each drawing must be labelled and accompanied by a short definition or explanation. Remind students that a translation changes position but not size or orientation.

5. 28–40 min – You do: record and draw Students record definitions for reflection, rotation, translation and tessellation, then draw one clear example of each. They label each example with the movement shown, such as “flipped over a line”, “turned around a point”, “slid to the right” or “repeated with no gaps”. Circulate and ask: “What stayed the same?”, “Where is the turning point?” and “How do you know this tessellates?” Provide a small shape or tracing paper to students who need help visualising movement.

6. 40–45 min – Plenary and oral exit check Use the plenary and exit-check slides. Invite several students to share one new idea, ensuring different transformation types are represented. Ask each student to respond orally to one prompt with a partner or to the class: “A reflection is…”, “A rotation is…”, “A translation is…”, or “A tessellation must…”. Finish by revisiting the success criteria and asking students to identify which criterion they can already demonstrate.

Resources

• the complete transformation lesson slide deck
• the transformations recording worksheet
• Two age-appropriate transformation videos embedded or linked within the slide deck
• Main whiteboard and pens
• Maths books and pencils
• Tracing paper or small reusable shapes for students needing visual support
• Optional classroom display of the words flip, turn, slide, repeat and pattern

Assessment

• During discussion, listen for correct classification and reasoning using reflection, rotation, translation and tessellation.
• Check students’ drawings and labels for accurate movement, clear examples and appropriate mathematical vocabulary.
• Use the oral exit check to identify students who confuse rotation with translation or who think any repeating pattern is a tessellation.

Differentiation

• Support: provide sentence stems such as “This is a ___ because the shape has been ___”; allow students to trace, physically move a cut-out shape or work with a supportive partner.
• Support: pre-write the four key terms and simple definitions on the worksheet; use colour-coded arrows, a mirror line or a marked turning point.
• Extension: ask students to create a non-example of tessellation and explain why it fails, or describe what remains unchanged during each transformation.
• EAL/SEN: pair each formal term with an action and visual icon, give extra processing time, read instructions aloud and accept oral explanations before written recording.