Description

Teach IB Math AI SL statistics with confidence using this complete lesson and guided notes on bar graphs, histograms, and box-and-whisker plots. Fully aligned with the official IB syllabus, these resources ensure students master the vocabulary, notation, and rigor expected on their exams.

The PowerPoint lesson provides clear explanations and worked examples, while the guided notes keep students actively engaged, organized, and accountable throughout the lesson. Together, they ensure students not only listen but also build a study resource they can revisit for practice and exam review.

Students learn when and why to use different graphs (bar vs. histogram), how to construct them according to IB standards, and how to interpret them meaningfully. The section on box-and-whisker plots walks students step-by-step through finding quartiles, IQR, and outlier bounds, before constructing the full plot. A realistic mile-time dataset ties the concepts together, giving students hands-on experience in applying the methods.

The guided notes close with reflection prompts, encouraging students to monitor their learning and identify next steps. This structure makes the resource perfect for both classroom instruction and independent learning, saving teachers preparation time while improving student outcomes.

What’s Included

• PowerPoint Lesson (fully IB-aligned with examples and explanations)
• Guided Notes handout (mirrors lesson, keeps students engaged, builds a reference resource)
• Worked dataset (student mile times for graphing practice)
• Step-by-step construction of bar graphs, histograms, and box-and-whisker plots
• Student reflection prompts for metacognition and accountability

Content Covered:

• Why graphs matter: Explains that averages alone hide variability and subgroups; introduces the need for graphical representations of data.
• Bar Graphs:
  • Definition: for categorical/discrete data.
  • Key features: bars do not touch, IB-standard labeling of axes and title.
  • Examples: grade levels, favorite colors, pets owned, yes/no surveys.
  • Step-by-step: how to construct bar graphs.
• Histograms:
  • Definition: for continuous data grouped into intervals.
  • Key features: bars touch, axes labeled, frequency counts.
  • Examples: time, distance, weights, heights.
  • Step-by-step: creating class intervals, frequency table, and graph.
• Box and Whisker Plots:
  • Definition: shows spread and center using the five-number summary (min, Q1, median, Q3, max).
  • Key features: box = 50% of data, whiskers to extremes, outliers shown as dots.
  • Step-by-step: ordering data, finding quartiles, computing IQR, calculating outlier bounds, drawing the box plot.
  • Worked Example: 25 student mile times; students compute median, Q1, Q3, IQR, identify outliers, then draw the plot.

Instructional Features:

• Built-in checks for understanding (why averages aren’t enough, when to use each graph).
• Emphasis on IB standards for graphing (labels, titles, correct format).
• Scaffolded worked example (mile times dataset).
• Ends with reflection questions for students to self-assess mastery.

Guided Notes (Student Version) Structure:

• Mirrors lesson objectives:

1. Why use graphical representations
2. When bar graphs are appropriate
3. When histograms are appropriate
4. How box-and-whisker plots summarize data

• Fill-in-the-blank definitions:
  • Bar graphs (discrete data, categories)
  • Histograms (continuous data, intervals)
  • Box plots (five-number summary)
• Step-by-step construction prompts:
  • Bar graph: organize data, count categories, label axes, draw bars.
  • Histogram: organize continuous data, group into intervals, create frequency table, plot.
  • Box plot: find min, Q1, median, Q3, max → compute IQR → check for outliers → draw.
• Worked example dataset: Student mile times (4.5–10 minutes). Students practice calculating:
  • Median, Q1, Q3
  • IQR
  • Outlier bounds
  • Constructing the full box-and-whisker plot.
• Reflection prompts: Students note what’s easy, what’s tricky, and their next steps for mastery.

What’s Included in This Resource Pair

• PowerPoint Lesson: Direct instruction slides with explanations, definitions, examples, and worked problems.
• Guided Notes Handout: Student fill-in notes aligned to the lesson, keeping learners engaged and creating a reference resource.
• Worked Dataset: Realistic “mile time” example that threads through both lesson and notes.
• Scaffolded Practice: Students apply concepts step by step (from definitions → calculations → graphing).
• Reflection Questions: Encourage metacognition and student accountability for learning.

✅ Bottom line: This lesson and notes package introduces students to bar graphs, histograms, and box-and-whisker plots with IB-specific expectations for rigor and presentation. It combines clear teacher explanations, structured student note-taking, a worked example, and practice opportunities—all tied directly to IB exam requirements.