Two-Step Prediction Lab

Overview

Lesson 6 of 10 in Shape Shifters: Transformations. Students predict and represent the result of two transformations, then check their thinking using tracing paper or a digital geometry tool. They investigate whether changing the order of transformations changes the final image.

Learning intentions

• WALT describe and carry out two-step transformations on a grid.
• WALT predict the final position of a shape before checking.
• WALT represent transformations using diagrams, words and coordinates.
• WALT investigate how changing the order of transformations affects the result.

Success criteria

• I can identify and describe each transformation as a translation, reflection or rotation.
• I can record the coordinates of a shape before and after each step.
• I can make and explain a prediction before checking it.
• I can compare two transformation orders and justify whether the results are the same or different.

Curriculum links

• Geometry: describe and perform transformations of shapes, including translations, reflections and rotations.
• Position and orientation: use grid references and coordinates to communicate location and movement.
• Mathematical thinking: predict, test, compare results and explain conclusions.
• Key competencies: thinking; using language, symbols and texts; managing self; participating and contributing.

Lesson structure (60 minutes)

1. 0–7 minutes – Hook and retrieval

Open with the introduction and prediction slides. Display a shape and two instructions, such as “translate 3 squares right, then reflect in the vertical line.” Ask: “Can you know the final position without moving it?” Students quietly sketch a prediction, then share what information they would need. Briefly revisit translation, reflection, rotation, image and coordinates.

2. 7–17 minutes – Teacher modelling

Use the grid model in the worked-example slides. Model a triangle with labelled vertices, completing one transformation at a time. Record each stage in three ways: a diagram, a word description and ordered pairs. Think aloud about preserving size and shape, and emphasise that the second transformation acts on the result of the first.

Model a second example where the order is reversed. Do not reveal the answer immediately; ask students to predict whether the final positions will match and explain why.

3. 17–25 minutes – Guided practice

Distribute the two-step transformation investigation sheet. Complete the first problem together. Students identify the two steps, mark the starting vertices, and write a prediction before checking. Use arrows and tracing paper to demonstrate how an overlay can make each stage visible.

Pause to check that students are recording the intermediate image, not jumping straight to the final answer.

4. 25–43 minutes – Pair prediction lab

Students work in pairs on the worksheet. For each problem, they must:

• read and identify both transformations;
• predict and sketch the final image;
• record coordinates after step one and step two;
• check using tracing paper or a digital geometry tool;
• describe any error and revise their reasoning.

Pairs should complete at least three investigations. Circulate and ask: “What changes after the first step?”, “Which point are you tracking?”, and “How do you know your prediction is reasonable?” Refer to the investigation instruction and prompt slides when clarifying expectations.

5. 43–53 minutes – Order matters discussion

Bring the class together for a comparison task. Display two orders of the same transformations in the order-matters discussion slides. Pairs hold up or share their predictions, then compare checked results.

Create a class table with the headings “same final image” and “different final image”. Discuss examples and avoid suggesting that one rule always applies. The key conclusion is that changing the order can change the result, so each sequence must be tested and described carefully.

6. 53–60 minutes – Plenary and exit response

Use the plenary slides to display a final challenge: translate a quadrilateral two squares left, then reflect it in a horizontal line. Students independently draw, record one pair of intermediate and final coordinates, and complete the sentence: “My prediction was accurate/inaccurate because…”

Collect the worksheet and use two or three responses to address misconceptions in the next lesson.

Resources

• the complete transformation lesson deck
• the two-step transformation investigation sheet
• Grid paper or exercise books
• Pencils, rulers and coloured pencils
• Tracing paper or transparent plastic sheets
• Small mirrors for checking reflections, if available
• Class set of tablets or computers with a digital geometry tool, if available
• Whiteboard and markers
• Projector or interactive display

Assessment

• Observe pair discussions and check whether students distinguish the intermediate image from the final image.
• Review worksheet diagrams, coordinates, predictions and explanations for accuracy and clear sequencing.
• Use the plenary response to identify students needing further support with coordinates, reflection lines or transformation order.

Differentiation

• Support: provide a pre-drawn coordinate grid, labelled vertices, arrows showing direction and a transformation word bank. Work through one guided example with a small group.
• Support: allow students to use tracing paper or overlays for every step before recording the diagram and coordinates. Pair students strategically and provide sentence starters such as “First I…, then I…”.
• Extension: ask students to create a three-step transformation puzzle, provide the starting coordinates and write a solution that another pair must predict and solve.
• EAL/SEN: use consistent colour coding for the original shape, step-one image and final image; give instructions one step at a time and accept oral explanations alongside written responses.