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Visual Data Representations

Maths • 60 • 25 students • Created with AI following Aligned with New Zealand Curriculum

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Maths
60
25 students
19 July 2026

Teaching Instructions

This is lesson 13 of 16 in the unit "Designing Effective Questionnaires". Lesson Title: Creating Visual Representations Lesson Description: WALT: Develop skills to create data visualizations. Success Criteria: Create charts and graphs to represent data; Choose appropriate formats. Differentiation: Offer templates for data visualization. Extension: Experiment with software for advanced visual representation.

Overview

Lesson 13 of 16 builds on the questionnaire designs completed earlier by helping students plan how survey results will be displayed. Students will translate their intended variables into appropriate visual representations, focusing on choosing formats that match the data type.

Learning intentions

WALT: Develop skills to create data visualisations that communicate survey results clearly and appropriately.

Success criteria

  • I can create charts/graphs that represent my survey data accurately.
  • I can choose a suitable visual format for the variables in my questionnaire.
  • I can label visuals clearly (title, axes/legends, units where needed).
  • I can explain why my visual choice is appropriate for the data and purpose.

Curriculum links

  • Statistics and Probability — designing and using data displays to support statistical thinking and decision-making.
  • AS91263 — design a questionnaire including desk review, pilot, refinement, and documenting decisions (this lesson prepares the “check and refine” phase by planning displays).
  • AS91264 — use statistical methods to make an inference (visualisations help students explore patterns before making claims).
  • NZC statistical investigation mindset: connecting measures, data collection, and displays to the context and the population.

Lesson structure (60 minutes)

  1. 0–5 min · Launch (link to purpose). Teacher displays two example visuals (one mismatched to variable type, one suitable) and asks students: “Which would help a reader understand the survey faster, and why?” Students quick-write reasons in pairs.

  2. 5–15 min · Mini-teach (match data type to visuals). Teacher explicitly models a decision process: categorical vs numerical, scales (Likert/ordinal), and how to represent them (bar charts, stacked bars, histograms, boxplots as appropriate). Students complete a “Data type → Best visual” sorting task using short statements from questionnaire variables.

  3. 15–25 min · Plan the visuals (for their own questionnaire). Teacher gives a worksheet template with prompts: variable name, variable type, measurement scale, purpose of visual, and visual choice. Students select 2–3 variables from their questionnaire and plan the visuals they will create after collecting pilot results.

  4. 25–40 min · Create visual drafts. Teacher demonstrates building one visual from example data using a spreadsheet or graphing tool, focusing on labels, scales, and readability. Students create draft charts for the planned variables (paper or digital), aiming for at least one categorical chart and one numerical/ordered chart.

  5. 40–50 min · Gallery check (quality criteria). Teacher sets up stations: “Legibility, Correctness, Choice, Labels.” Students rotate, using a short checklist to give one “Glow” (what’s working) and one “Grow” (what to improve). Students return to their draft and make one improvement.

  6. 50–58 min · Justify choices (short explanation). Teacher models a two-sentence justification: “I chose this visual because… It helps the reader…”. Students write a justification for each visual they produced, linking back to the survey’s purpose.

  7. 58–60 min · Exit ticket (teacher feedback). Teacher collects a final quick response: “Which variable was easiest to represent and why? Which was hardest and what would you change?”

Resources

  • Data visualisation choice cards (categorical, ordinal, numerical)
  • Template worksheet: Visual plan + justification
  • Sample survey data sets (small, teacher-prepared) for modelling
  • Spreadsheet/graphing tool access or printed graph grids
  • Marker pens/colour pencils (if paper-based)
  • Checklist for gallery review (Legibility, Correctness, Choice, Labels)
  • Dyslexia-friendly reading options: simplified one-page instruction sheet and larger font templates

Assessment

  • During sorting: teacher circulates to check students correctly match variable types to visual formats.
  • During drafts: teacher checks visuals for accuracy of representation and clarity of labels/scales.
  • During justification and exit ticket: teacher assesses whether students can explain and justify their visual choices for the survey context.

Differentiation

  • Provide visualisation templates with pre-made chart types and label starters (e.g., “Title: …”, “Axis label: …”, “Units: …”).
  • Offer sentence starters for justification: “I chose a ___ because my variable is ___.” “This visual helps the reader see ___.”
  • Dyslexia-friendly supports: larger font, reduced text per page, colour-coding for chart elements (title/axes/legend), and read-aloud of key instructions.
  • For students needing support: limit to 2 visualisations (one categorical/ordinal, one numerical) and provide a worked example to adapt.
  • For students ready to extend: require a refinement step—e.g., adjust bin width for a histogram or decide between grouped vs stacked bars based on the questionnaire variable.

Extension (advanced learners)

  • Students experiment with software features for stronger communication: adding confidence-style context (e.g., pilot size note), improving colour contrast, or producing a clearer legend/order for ordinal responses.
  • Extension challenge: create a second version of one visual using a different chart type and write a short comparison of which is better and why (choice justification).

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