Statistical Checkpoints

Overview

Students consolidate their statistical investigation skills by completing and communicating a short investigation report. They rehearse selecting appropriate displays, describing variation and making cautious conclusions supported by data, while preparing for the unit test and Common Assessment Task (CAT).

Learning intentions

• Communicate a complete statistical investigation clearly.
• Select and use suitable displays and summaries for different data.
• Interpret variation and compare groups using statistical evidence.
• Prepare accurately for the statistical vocabulary test and CAT.

Success criteria

• I can state a clear investigative question and describe how data were collected.
• I can identify data types and choose suitable displays and measures of centre and spread.
• I can describe variation, patterns and differences between groups using evidence.
• I can communicate a cautious conclusion linked to the context and identify a limitation.

Curriculum links

• Mathematics and Statistics: statistical investigation, data displays, distributions, measures of centre and spread, comparison and interpretation of variation.
• Mathematics and Statistics: communicating conclusions supported by data and evaluating the reliability of an investigation.
• Mathsteasers: higher-order thinking questions that challenge advanced learners and deepen understanding.
• Key competencies: thinking; using language, symbols and texts; managing self; participating and contributing.

Lesson structure (60 minutes)

1. 0–5 min · Hook and learning focus. Teacher displays two contrasting data summaries and asks, “Which group is doing better, and what evidence would we need before deciding?” using the opening comparison slide. Students make an initial claim, then identify what information is missing, such as sample size, spread or collection method.

2. 5–13 min · Checkpoint review. Teacher revisits the investigation pathway and models a concise explanation: question, method, display, summary, interpretation, limitation and conclusion, using the investigation checklist slides. Students complete a quick retrieval check on data types, sampling, displays, distributions, centre, spread and variation, then correct answers with a partner.

3. 13–18 min · Report briefing. Teacher explains that students will complete a short investigation report or presentation from an accessible dataset, distributes the statistical communication checkpoint, and displays the task steps and rubric criteria. Students choose a dataset or teacher-provided option, read the question carefully and begin with the planning section.

4. 18–38 min · Complete the investigation. Teacher conferences with individuals and pairs, checking that the question matches the variables, the display suits the data, and interpretations use evidence rather than description alone. Students use the Statistical Investigation Planning Frame to organise their method and complete the worksheet, including a display, relevant summaries, comparison of groups and a context-linked conclusion.

5. 38–49 min · Rehearse communication. Teacher models a 45-second explanation, including one cautious phrase such as “This suggests…” and one limitation; students use the explanation model slides to rehearse with a partner. Students explain their display, centre and/or spread, variation, comparison and conclusion, while the listener checks clarity and asks, “What evidence supports that?”

6. 49–56 min · Peer checkpoint and corrections. Teacher asks students to use the rubric to give one strength and one actionable improvement, then briefly reviews common errors likely to occur in the Tuesday test and Thursday CAT. Students peer-assess using the worksheet checklist, make corrections in a different colour and identify one personal revision target.

7. 56–60 min · Exit reflection. Teacher displays three final prompts using the plenary and exit prompts: “What does the data show?”, “How reliable is it?” and “What would you investigate next?” Students submit a short response naming one statistical term they can now use accurately, one interpretation supported by data and one question they still need to revise.

Resources

• the Statistical Communication and Checkpoints deck
• the statistical communication checkpoint
• the Statistical Investigation Planning Frame
• Teacher-prepared accessible datasets representing categorical and numerical data
• Test paper and answer schedule for the Tuesday class test
• CAT paper, rubric and marking schedule for the Thursday assessment
• Calculators and approved digital tools
• Projector or interactive display
• Highlighters or coloured pens

Assessment

• During the review and conferencing, check students’ use of statistical vocabulary, identification of data types, display choice and distinction between centre and spread.
• Use the completed checkpoint and partner feedback formatively, focusing on question and method, displays, statistical reasoning, communication and context.
• Use test corrections to identify gaps before the class test. For the CAT, apply the suggested weighting: question and method 20%, displays 25%, statistical reasoning 35%, and communication and context 20%. The test is approximately 20 marks and the CAT approximately 30 marks.

Differentiation

• Provide read-aloud instructions, chunked task steps, an accessible dataset and the planning frame where permitted. Allow students to explain orally before writing and provide sentence starters such as “The distribution is…” and “This conclusion is limited because…”.
• Pre-teach and display key terms including population, sample, variable, distribution, median, mean, range, interquartile range, variation and reliability.
• Support students to select a display using the Graph Choice Decision Tree and offer a teacher conference before they calculate or interpret summaries.
• Extend confident students by asking them to evaluate sampling reliability, identify possible confounding factors, compare alternative explanations and propose a more reliable follow-up investigation.