Reflection on Learning

Overview

This lesson brings together students’ learning from the unit “Exploring Statistics and Probability” through reflection. Students review how to identify sample spaces, assign probabilities, and use relative frequencies and chance experiments to make predictions, then set clear personal next steps.

Learning intentions

Students will:

• reflect on their understanding of probability concepts and vocabulary (sample space, probability, event, trial)
• explain how probabilities and relative frequencies connect to predictions
• identify one strength and one goal for improvement in statistics and probability

Success criteria

Students can:

• describe what they learned using specific mathematical terms
• give an example of a sample space and outcomes for a single-stage event
• explain how relative frequency can help predict outcomes
• state one improvement goal and how they will practise it

Curriculum links

• Probability — identify the sample space for single-stage events; assign probabilities to outcomes and predict relative frequencies for related events - Probability — conduct repeated chance experiments and compare predictions with observed results - Students use descriptive, reflective language to summarise learning and justify decisions about understanding and next steps.

Lesson structure (60 minutes)

1. 0–5 min · Opening talk (whole class). Teacher prompts: “What was the most important idea we learned about chance and data?” and charts a few student responses.

2. 5–12 min · Quick recap: “1 idea, 1 example”. Teacher displays three topic prompts (sample space, probability outcomes, relative frequency) and students share in pairs an example each; teacher gathers 3–4 examples to check understanding.

3. 12–25 min · Reflection Task A: maths-mind map (conversation first, then write). Teacher models a short mind map titled “My Probability Learning” with branches: vocabulary, sample space, probabilities, relative frequency, experiments/simulations. Students complete their own map, then choose one branch to write a paragraph about (or dictate to a peer/teacher).

4. 25–40 min · Reflection Task B: mini-check (show what you can do). Teacher provides a short paper/card with two prompts:

• Prompt 1: “List the sample space for rolling a standard dice once.” (Students write outcomes and label an example event.)
• Prompt 2: “A spinner has 4 equal sections: Red, Blue, Green, Yellow. Explain which outcomes are more/less likely and why, using the idea of probability (not ‘just guessing’).” Students answer briefly, then add one sentence: “This is where I feel confident…” and “This is what I still need to practise…”

5. 40–55 min · Reflection Task C: goal-setting journal (WALT). Teacher distributes dyslexia-friendly sentence starters and a reflection sheet. Students complete:

• WALT statement (reword in their own words)
• “One thing I can now do is…”
• “I used this strategy to learn…”
• “My improvement goal is…”
• “How I will practise in the next unit/class is…” Teacher circulates, holding quick teacher-student conferences with a few students needing support.

6. 55–60 min · Exit ticket: rate + reason. Students submit a one-minute exit ticket: “My confidence today is: 1–5” plus one reason using a keyword (probability / sample space / event / trial / relative frequency / simulation). Teacher reads a selection aloud to close positively.

Resources

• Reflection journal sheet and mini-check prompt sheet (paper or digital)
• Student maths mind map page (A4)
• Sentence starters for dyslexia-friendly writing
• Coloured pens/highlighters
• Dice and a simple paper spinner template (optional for teacher demo earlier)
• Timer for structured reflection segments

Assessment

• Formative: teacher listens during pair discussions (“1 idea, 1 example”) and tracks misconceptions (e.g., mixing “event” and “outcome”).
• Formative: mini-check responses to confirm understanding of sample space and probability reasoning aligned to AC9M7P01/AC9M7P02.
• Summative for today: exit ticket confidence rating with a reason using correct probability/statistics language.

Differentiation

• Support for students who need scaffolding:
• provide partially completed mind map templates (missing one branch for students to fill)
• use sentence starters and word bank for reflection (sample space, outcomes, event, probability, trial, relative frequency, prediction)
• allow oral responses recorded by teacher/scribe or typed notes instead of long writing
• Dyslexia-friendly reading options:
• read the reflection instructions aloud; provide a short, simplified version on a separate sheet
• offer larger font print, reduced text density, and extra time for reflection writing
• Extension for students ready for more challenge:
• ask them to compare two events (e.g., “rolling an odd number” vs “rolling a number greater than 4”) and explain which is more likely and why
• include a reflection about how results from repeated trials sometimes differ from predicted probabilities and what that means
• Behaviour/engagement:
• maintain conversation-first routines and quick check-in timers to reduce “blank page” stress
• use peer support: students swap one strength statement with a partner and add one practical goal suggestion

Extension (optional)

• None.