Description

Give your students the full experience of learning, practicing, analyzing, and explaining statistics the way IB expects. This bundle combines targeted homework, a concept-checking quiz, a cumulative practice test (4.1–4.3), and two rich, hands-on activities that build data skills and writing—perfect for IA-style thinking (sampling design, visual displays, justified conclusions).

4.3 student work preview

What Students Will Do (How learning unfolds)

• Compute & compare mean, median, mode, range, IQR, and σ for small data sets; then interpret differences (same mean ≠ same performance).

  4.3 student work preview

• Apply transformations: add/subtract/multiply a constant and determine how each affects center and spread—including composed operations (e.g., “+3 then ×2”).

  4.3 student work preview

• Make & read graphs (histograms, box-and-whisker, frequency density, cumulative frequency) to answer exam-style prompts (median, IQR, modal class, “how many above/between”).

  4.3 student work preview

• Design & analyze mini investigations: reaction time vs. input method, paper helicopter designs, manufacturing variability (screw lengths), and a song-sampling project that compares methods (simple random, systematic, convenience, quota, stratified). Students compute summaries, draw graphs, and write claim-evidence-reasoning conclusions.

  4.3 student work preview

Why these problems create teaching moments

• From number-crunching to meaning: Tasks pair calculations with prompts like “Which class shows more variability? Justify with range & σ,” forcing students to connect statistics to context.

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• Transformation intuition: BEFORE/AFTER work clarifies why SD is unchanged by addition but scales with multiplication—common exam pitfalls are surfaced early.

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• Graph-to-table fluency: Students extract information from frequency density and cumulative frequency visuals to complete tables and estimate means—directly mirroring IB item types.

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• CER writing: Each hands-on station ends with short, structured writing (claim → evidence → reasoning), building the exact language students need for assessments and the IA.

  4.3 student work preview

How the activities support IA-readiness

• Sampling design & bias: The song-based activity makes sampling visible—teams use different methods, compare results, and discuss implications for reliability and representativeness. That’s a natural bridge to IA methodology sections.

  4.3 student work preview

• Data handling & visualization: Students collect, tabulate, and visualize their data with appropriate binning and five-number summaries—the same workflow they’ll use in an IA.

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• Interpretation & reflection: Prompts ask students to explain outliers, compare spreads, and evaluate method strengths/weaknesses—authentic practice for IA discussion and conclusion writing.

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Detailed Review of What’s Included

1. Homework – Measures of Central Tendency

   • Definitions (variance vs. SD; population vs. sample SD)

   • Full compute-and-compare tasks (summary stats + box-and-whisker + written comparison)

   • Great for anchoring vocabulary and linking calculations to visuals.

     4.3 student work preview

2. Homework – Transformations of Center & Spread

   • Part A: Rapid-fire transformation items (add/subtract/multiply/compose) on mean, median, mode, range, IQR, SD

   • Part B: Raw data → compute stats → shift/scale the data → recompute; plus make histograms and side-by-side box plots (unit conversions included).

     4.3 student work preview

3. Quiz #1 – Central Tendencies & Spread

   • Short, targeted check on summary stats, transformation effects, and interpretation (e.g., “Which class has greater variability? Justify with range & SD”).

     4.3 student work preview

4. Practice Test (Student Version) – Units 4.1 to 4.3

   • Section A: foundational knowledge (types of data, best graph choice, quick computations)

   • Section B: applications (modal class, IQR & outliers, effect of adding a constant)

   • Section C: IB-style: cumulative frequency questions (median, IQR, counts above/between) and frequency density (complete the table, estimate mean, modal class).

     4.3 student work preview

5. Hands-On Lab – “Consistency in Experiments” (Station Rotation)

   • Station 1: Reaction time (keyboard vs. screen tap)

   • Station 2: Paper helicopter flight times (Design A vs. B)

   • Station 3: Screw lengths (Factory A vs. B)

   • For each: make a histogram & box plot, compute mean/range/IQR/σ, then write a 2–3 sentence CER comparison.

     4.3 student work preview

6. Classroom Investigation – “Sampling the Sound: What Makes a Song ‘Wordy’?”

   • Teams apply five sampling methods to lyric lines, compute summaries, draw box plots, and present a mini-poster: method, stats, visualization, reflection on strengths/weaknesses.

   • Includes a data table template and clear step sequence; ideal as a light-lift IA rehearsal. (Teachers can substitute a class-appropriate text if preferred.)

     4.3 student work preview

Note: The preview intentionally hides answer keys; all answer keys are included with the purchased download.