Best for
Years 7-10 students learning to question media graphics, school reports, advertising, or public claims rather than accepting the visual message at first glance.
Pāngarau / Mathematics • Critical numeracy • Years 7-10
Misleading Graphs: Read, Question, Redraw
Numbers can be true while the visual message is still unfair. This handout helps ākonga read a media-style claim, test the graph choices behind it, and redraw the data more honestly.
Free class-ready resource, premium inquiry path
This handout gives you a teachable critical-numeracy starter. If your team wants local media examples, rohe-specific data, or a full misinformation sequence, Te Wānanga can extend it while keeping the same student-safe tone.
- Swap in local news, council, or school-report examples.
- Create differentiated critique sets for junior and senior classes.
- Save the adapted series to My Kete for later reuse.
Kaiako planning snapshot
- Use length: 40-55 minutes.
- Grouping: Read together, then analyse independently or in pairs.
- Prep: Ruler and pencil for the redraw task.
- Teaching move: Frame the task as careful checking, not cynical dismissal. Students should learn to ask for better evidence, not stop trusting everything.
Resources already provided
- Media-style scenario text
- Truth-versus-visual-distortion table
- Redraw space
- Critique checklist
- Teacher-only curriculum companion
No extra prompt sheet is needed for the critique.
Ngā Whāinga Akoranga / Learning Intentions
- We are learning how graph choices can exaggerate or hide the real pattern in data.
- We are learning how to critique a graph using evidence, not just opinion.
- We are learning how to redraw a fairer graph that communicates more honestly.
Paearu Angitu / Success Criteria
- I can identify what makes the first graph misleading.
- I can explain the real size of the change using the numbers provided.
- I can redraw the graph with a more defensible scale and labels.
Curriculum integration / Te Mātaiaho alignment
This handout is designed for the statistics practice of critically considering whether contemporary graph choices support or misrepresent the data.
Why this matters in Aotearoa
Students in Aotearoa meet graphs in election coverage, school reports, transport debates, sports commentary, advertising, and social media. A graph can push a strong feeling even when the actual change is small.
Critical numeracy means checking the scale, the labels, and the context before repeating the claim. Manaakitanga and whanaungatanga matter here too: critique the graph design, not the people or communities represented by the data.
Read the scenario
Headline: “Library use skyrockets after the new reading challenge.”
A school newsletter includes a graph comparing average weekly library visits before and after a reading challenge. The numbers are 120 visits before the challenge and 135 visits after it. The graph starts the vertical axis at 110 instead of 0, so the second bar looks much taller than the first.
The increase is real, but the graph makes the change look much bigger than it actually is. A careful reader should ask whether the scale helps them understand the change or pushes them toward a stronger reaction than the data deserves.
Truth or distortion?
| Question | What does the graph make you feel? | What do the numbers actually show? |
|---|---|---|
| How large is the increase? | ||
| What role does the scale starting at 110 play? | ||
| Would a graph starting at 0 change the impression? |
Redraw the graph more fairly
Use the same values, but draw a graph with a more defensible scale and clear labels.
What scale did you choose?
Why is your version fairer?
Red flags checklist
- The scale hides or exaggerates the real difference.
- The graph has no clear title, variable, or source.
- The labels are missing, vague, or hard to interpret.
- Only part of the data is shown, with no explanation.
- The graph pushes a feeling that the numbers alone do not support.
Apply the idea
Think of one graph you have seen in a newsletter, article, or online post. What would you check first before trusting it?
Support
Work through the first question orally and calculate the numerical difference together before students start writing.
Core
Students explain the exaggeration, redraw the graph, and justify the better scale in writing.
Stretch
Ask students to design a second misleading version and explain exactly what trick it uses.
Neurodiversity and inclusion note
Keep the numerical load small and the language clear. Students can show understanding through annotation, highlighting, speaking, or a labelled redraw before writing longer explanations.
Kaiako reminder
Teach scepticism with responsibility. The aim is not “all graphs lie”; it is “fair readers check the choices behind the picture”.
Hononga Marautanga · Curriculum Alignment
English — Te Reo Pākehā
Level 3–4: Read and interpret a range of texts for meaning and purpose; identify author intent, text structure, and language choices; write clearly for specific audiences and purposes using appropriate conventions.
Social Sciences — Tikanga ā-Iwi
Level 3–4: Understand how texts construct knowledge and perspective; evaluate the credibility and purpose of different sources; communicate ideas and findings effectively in written and oral forms.
Aronga Mātauranga Māori
In te ao Māori, language — reo — is a taonga: a treasure that carries culture, identity, and whakapapa across generations. The ability to speak clearly, to argue persuasively, to read critically, and to write with purpose are not simply academic skills — they are forms of mana in action. Māori oratory (whaikōrero) has always valued precision, evidence, and the ability to locate one's argument within a broader cultural and ancestral context. Students who develop strong literacy skills are developing the same capacities that made great orators powerful: the ability to be heard, understood, and taken seriously in any room they enter.
Ngā Rauemi Tautoko · Support Materials
This handout is designed to be used alongside the broader unit resources available at Te Kete Ako handouts library. Related resources from the same unit are linked in the unit planner. All resources are provided — no additional preparation is required to use this handout in your classroom.
📋 Teacher Planning Snapshot
Ngā Whāinga Ako — Learning Intentions
Students will engage with this resource to build core literacy skills — reading comprehension, writing craft, and oral language — grounded in the rich storytelling traditions of Aotearoa New Zealand and the literacy practices that empower rangatahi voice.
Ngā Paearu Angitū — Success Criteria
- ✅ Students can apply the literacy skill or strategy featured in this resource with growing independence.
- ✅ Students can connect this resource's literacy focus to authentic texts, contexts, or purposes from their own world.
Differentiation & Inclusion
Scaffold support: Provide sentence starters, word banks, or graphic organisers for entry-level access. Model think-alouds before independent tasks. Offer extension challenges that deepen analysis — for example, comparing the author's craft choices across two texts or writing an additional stanza or paragraph.
ELL / ESOL: Pre-teach key vocabulary before reading. Allow students to annotate in their home language first, then translate key ideas. Use shared reading and think-pair-share structures to lower the stakes for language production. Bilingual glossaries and visual text supports help bridge comprehension.
Inclusion: Chunk reading and writing tasks into manageable steps. Offer multimodal options — oral, visual, or digital — for students to demonstrate understanding. Neurodiverse learners benefit from clear task structures and explicit success criteria. Affirm diverse linguistic and cultural backgrounds as assets, not deficits.
Mātauranga Māori lens: Literacy in Te Ao Māori encompasses tātai kōrero (the arrangement of speech), waiata, whakataukī, and the deep art of kōrero — storytelling as knowledge transmission. Encourage students to see their own family stories and community knowledge as valid literacy texts. Karakia opens and closes learning with intention. Tātai kōrero honours the voice.
Prior knowledge: Adaptable across year levels. No specialist prior knowledge required for entry-level engagement. Teachers may wish to pre-read the resource and anticipate vocabulary that needs pre-teaching.
Curriculum alignment
- Reading — Making Meaning: Students will select and use sources of information, processes, and strategies to identify, form, and express ideas across a range of texts.
- Writing — Creating Meaning: Students will select and use sources of information, processes, and strategies to write in a range of text types for a variety of purposes and audiences.