Presenting Data Clearly

Overview

Students investigate a familiar class question, collect categorical and discrete numerical data, and represent the results as both a pictogram and a bar graph. They build on prior experience with tally charts and counting by focusing on how the same information can be shown in different ways and described accurately.

Learning intentions

• WALT pose a simple investigative question and make a prediction about what the data might show.
• WALT collect, sort and record categorical and whole-number data fairly and respectfully.
• WALT create and interpret a pictogram and a bar graph using an appropriate scale.
• WALT describe what a graph shows, naming the variable and the group of interest.

Success criteria

• I can identify who or what my data is about and what variable I am measuring.
• I can use a tally chart to record data accurately.
• I can present the same data as a pictogram and a bar graph.
• I can make a statement about the most, least or equal results using the variable and group of interest.

Curriculum links

• Mathematics and Statistics — Mathsteasers: higher-order thinking and deepening understanding through challenging mathematical questions.
• Mathematics and Statistics — Mathsteasers / Alignment: connecting challenge questions with familiar textbook learning.
• Mathematics and Statistics — Mathsteasers: additional resources for advanced learners, through reasoning, conjecturing and explaining.
• Statistics learning: posing investigative questions, planning ethical data collection, organising multivariate data, and creating and describing visualisations.

Lesson structure (30 minutes)

1. 0–4 min · Hook and prediction. Teacher displays a picture of four possible playground activities and asks, “Which activity is most popular in our class, and how could we find out?” Open with the hook and prediction slide and explain that a good investigative question can be answered with data. Students think-pair-share a prediction and identify the group of interest (our class) and variable (favourite playground activity).

2. 4–9 min · Teach the representations. Teacher revisits the terms data, tally chart, pictogram, bar graph and scale, showing one small data set represented in both forms on the vocabulary and comparison slides. Model that a pictogram may use one picture for one child and that a bar graph needs a title, labelled categories, a numbered vertical scale and equal-width bars. Students complete the sentence starter: “A __________ is a type of graph,” then explain one similarity and one difference between the displays.

3. 9–14 min · Plan an ethical survey. Teacher models the question, “Which playground activity do students in our class prefer?” and briefly discusses respectful data collection: ask everyone the same question, accept “prefer not to say”, do not record names, and do not pressure anyone. Use the survey-planning slide to identify the group, variable and recording method. Students help decide the response categories and make a conjecture about the expected result before voting.

4. 14–20 min · Collect and organise data. Teacher asks each student to choose one activity, records responses in a class tally chart, and checks that each response is counted once. Students watch for accurate tally marks, count the frequencies with a partner and check that the total equals 30. They record the class results on the survey and graphing worksheet. If a student does not wish to answer, record this respectfully as “no response” and discuss whether it should be included in the graph.

5. 20–26 min · Create and compare graphs. Teacher demonstrates transferring the class totals to a pictogram and bar graph, thinking aloud about choosing a scale that fits the data. Students complete the two representations on the worksheet, adding titles and labels. Refer to the graph-building and discussion slides for prompts: “Which category has the greatest frequency?”, “How many more chose ___ than ___?” and “Does the graph support our prediction?”

6. 26–30 min · Share and assess. Teacher invites two pairs to explain one graph and uses the plenary slide for the final response frame. Students complete the exit prompt on the worksheet: “Our data shows that __________ was the most popular activity. The group of interest was __________, and the variable was __________.” They add one sentence comparing two categories.

Resources

• the complete class presentation covering the hook, vocabulary, worked example, survey plan, graph construction, discussion prompts and plenary
• the survey and graphing worksheet
• Whiteboard or interactive display
• Prepared class survey categories with simple playground activity pictures
• Pencils, rulers and coloured pencils
• Optional counters or sticky notes for physically comparing frequencies

Assessment

• During planning, listen for students correctly identifying the group of interest and variable, and check that their investigative question can be answered with data.
• During graphing, check tally accuracy, total frequency, titles, category labels, scale and bar heights or pictogram symbols.
• Use the final written statement to assess whether students can describe a finding while naming the variable and group of interest.

Differentiation

• Support students by providing picture-supported categories, a partially completed tally chart, a pre-drawn graph axis and a scale of one. Pair students strategically and rehearse the sentence starter orally before writing.
• For students who need challenge, ask them to explain whether a scale of two could be used, create a comparison question, or suggest how the result might change if another class were surveyed.
• Provide large-print graph grids, a ruler, coloured coding between tally totals and graph bars, and reduced writing demands for students with fine-motor or literacy needs.
• Support EAL learners with visuals, gestures, repeated vocabulary and partner talk. Accept oral explanations before written responses and clarify that “variable” means what is being measured or recorded.