Learning intentions
Students learn that a frequency table can be represented as a graph, construct a graph from a frequency table, understand dot plots for small collections of discrete numerical data, and construct and analyse a dot plot.
The 8C lesson in the updated eight-lesson Year 8F Statistics sequence (taught 12 October 2026), using explicit modelling, student graph construction and textbook practice. The original planning file was titled Lesson 3 before a consolidation lesson was added.
Status: the lesson was taught on 12 October. The late start reduced independent practice time; the separate draft 8C formative assessment was not administered.
Students learn that a frequency table can be represented as a graph, construct a graph from a frequency table, understand dot plots for small collections of discrete numerical data, and construct and analyse a dot plot.
Students choose a suitable frequency scale, label both axes correctly, graph individual values and grouped intervals, construct a dot plot, identify the most common value and recognise an outlier.
Retrieve prior learning using the Number of Pets frequency table. Students explain what frequency means, identify the most frequent values and predict how a graph can make comparisons faster. Establish the graph checklist: title, horizontal axis, vertical axis = frequency, even scale and correct column heights.
Model the siblings frequency table from page 484: 0→15, 1→20, 2→13, 3→2. Select a scale from 0–25 in steps of 5, construct axes and labels, and draw the columns live with Apple Pencil. Students identify 1 sibling as the most common value.
Use Textbook Example 7 from page 485 only as a short bridge: the same graphing process applies when the horizontal axis uses intervals such as 0–99, 100–199 and 200–299. Emphasise interval labels and an even frequency scale without adding another extended worked example.
Students independently graph the Number of Pets frequency table, then compare their work with the Gamma reveal. Teacher checks axis labels, scale and column heights.
Model a dot plot for books read: 0→2, 1→5, 2→3, 3→4, 4→2, 9→1. Reinforce one dot per observation, a scale from 0–9, 1 book as the most common value and 9 books as an outlier.
Students work from Exercise 8C: Questions 1–3 to interpret frequency graphs, Question 5 for dot plots, Question 6 to construct graphs, and Question 7 as extension from raw data to frequency table to graph.
Questioning, live graph checks, observation of scale selection and axis labelling, dot-count accuracy, identification of most common values and outliers, and targeted monitoring of the five focus students.
The Gamma exit check asks students to identify what belongs on the vertical axis, identify the highest frequency and determine how many dots would appear above a specified value.
Supports include chunked worked examples, a visible graph checklist, colour coding, explicit modelling, wait time, targeted prompts and graphing templates if required. Extension moves from raw data to frequency table to graph and asks students to explain patterns or outliers.
Open 8C · STATISTICS — Investigation 03 in Gamma →
Textbook: Essential Mathematics Core for the Victorian Curriculum, Year 8, Chapter 8C, pp. 480–485. Examples 5 and 6 are the two main worked examples; Example 7 is used only as a brief grouped-interval bridge.
Equipment: iPad, Apple Pencil, projector/board, textbook, ruler, pencil and graph paper if required.
Record whether students achieved the success criteria, the most common graph-construction errors, evidence from the five focus students, how effectively the grouped-interval bridge worked, and what should change before Lesson 4.
Capture strengths, areas for improvement, feedback on modelling, questioning, pacing, graph construction and engagement, plus one suggested change for the next lesson and the student evidence to look for afterward.
APST/AfGT value: this reflection-and-feedback section is deliberately positioned to support the evidence chain professional feedback → teaching adjustment → later student evidence, including APST 6.4 and the AfGT pedagogical-segment comparison.