ChalkHour

Year 10 Maths: Histograms lesson pack

A complete, ready-to-teach GCSE lesson on histograms. Below is a real sample of what ChalkHour makes: the full pack adds three levels of worksheet, model answers, a teaching explainer and print-ready PDF and Word files.

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Real sample

Histograms: Frequency Density and Interpretation

A comprehensive lesson on Histograms for Year 10 students, focusing on the relationship between area and frequency, calculating frequency density, and interpreting data from unequal class widths.

Learning objectives

  • Calculate frequency density for grouped data with unequal class widths.
  • Construct histograms with correctly labelled axes and accurately scaled bars.
  • Interpret histograms to estimate frequencies and calculate totals.
  • Solve complex problems involving histograms, including estimating the median or percentages.

Lesson plan (60 minutes)

  1. Introduction · 10 min

    Starter: Review of grouped frequency tables and the difference between discrete and continuous data.

  2. Teaching · 15 min

    Teacher-led instruction: Explaining Frequency Density and why area represents frequency. Work through the example.

  3. Guided Practice · 10 min

    Guided Practice: Students attempt the first two questions of their assigned worksheet while teacher circulates.

  4. Independent Practice · 15 min

    Independent Practice: Completion of differentiated worksheets (Support, Core, Stretch).

  5. Plenary · 10 min

    Plenary: Multiple-choice quiz to check for understanding and summary of key misconceptions.

Key vocabulary

Continuous Data
Data that can take any value in a range (e.g., height, time, weight).
Class Width
The difference between the upper and lower boundaries of a class interval.
Frequency Density
The height of a bar in a histogram, calculated as Frequency divided by Class Width.
Histogram
A graphical representation of continuous data where the area of the bar is proportional to the frequency.
Frequency
The total number of data points within a specific class interval.

Core worksheet (first questions)

  1. Calculate FD for: 0 < x ≤ 10, F = 5.
  2. Calculate FD for: 10 < x ≤ 25, F = 18.
  3. Calculate FD for: 25 < x ≤ 30, F = 10.
  4. Calculate FD for: 30 < x ≤ 50, F = 12.

Quiz (sample)

  1. 1. What is plotted on the y-axis of a histogram?

    • A. Frequency Density
    • B. Relative Frequency
    • C. Midpoint
    • D. Cumulative Frequency

  2. 2. What is the formula for Frequency Density?

    • A. Frequency x Class Width
    • B. Frequency / Class Width
    • C. Class Width / Frequency
    • D. Frequency + Class Width

  3. 3. In a histogram, what represents the frequency?

    • A. The height of the bar
    • B. The width of the bar
    • C. The area of the bar
    • D. The midpoint of the bar

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Support and Stretch worksheets, every answer and model answer, the teaching explainer and common misconceptions, editable and ready to print as PDF or Word.

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