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Teaching Statistics B — Delivery Guide & Professional Development

Curriculum

  • 5 Sections
  • 16 Lessons
  • Lifetime
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  • Module 1: Teaching Statistics B
    4
    • 1.1
      Completing the Standards and the Area C Case
      25 mins
    • 1.2
      Inference With Real Data and Imperfect Conditions
      30 mins
    • 1.3
      From Simulation to Formula, and the Language of Conclusions
      30 mins
    • 1.4
      Pacing, Tools, Access and Certification Links
      30 mins
  • Module 2: Unit 1 — Continuous Distributions and Sampling Distributions
    3
    • 2.1
      Unit 1 Briefing — Density, Normality and the Central Limit Theorem
      25 mins
    • 2.2
      Facilitating the Normal-Model Lab and the Sampling-Distribution Workshop
      30 mins
    • 2.3
      Scoring the Sampling Distribution Simulation Study, With Exemplars
      35 mins
  • Module 3: Unit 2 — Estimating with Confidence
    3
    • 3.1
      Unit 2 Briefing — What an Interval Says
      25 mins
    • 3.2
      Facilitating the Confidence Discourse Lab and the Two-Group Workshop
      30 mins
    • 3.3
      Scoring the Estimation Study, With Exemplars
      35 mins
  • Module 4: Unit 3 — Testing Claims: Significance Tests
    3
    • 4.1
      Unit 3 Briefing — P-Values, Decisions and Their Limits
      25 mins
    • 4.2
      Facilitating the Errors-and-Power Lab and the Two-Sample Workshop
      30 mins
    • 4.3
      Scoring the Significance Test Investigation, With Exemplars
      35 mins
  • Module 5: Unit 4 — Chi-Square, Regression Inference and the Capstone
    3
    • 5.1
      Unit 4 Briefing — Categorical Tests, Slopes and the Capstone
      25 mins
    • 5.2
      Facilitating the Slope-Inference Lab and the Procedure Workshop
      30 mins
    • 5.3
      Scoring the Capstone Inference Study, With Exemplars
      40 mins

Completing the Standards and the Area C Case

Module 1  ·  Teaching Statistics B  ·  1 of 16

Completing the Standards and the Area C Case

STATSB-CA-PDTeacher guide
By the end of this module you will be able to…

explain which standards Statistics B completes, and present the evidence that the full-year course meets UC A-G area C.

Statistics B completes the full-year course. The builder checks that every S-ID, S-IC, S-CP, S-MD and PS code is cited across the two semesters. The standards that only Statistics B carries are S-ID.4 (fitting normal distributions and recognizing when that is not appropriate), PS.4 (continuous random variables and density), PS.8 (mean and SD of normal variables), PS.9 (the central limit theorem, applied to binomial probabilities), PS.15 and PS.16 (sampling distributions), PS.17 (confidence intervals and sample size), PS.18 (P-values) and PS.19 (chi-square). A student who completes Statistics B without Statistics A has not taken the approved course, and one who stops after A has not met these standards.

The area C case in this semester. Area C courses beyond Algebra 2 must use Algebra 2 and extend it. Statistics B does so in ways reviewers can see in the lessons:

  • Density curves and the exponential distribution, with probabilities from P(X > t) = e−t/μ and a median of μ ln 2 (B 1.1).
  • Solving for a normal distribution’s parameters from two percentiles, a pair of linear equations (B 1.2).
  • A derivation of σ/√n from the variance rules of Statistics A (B 1.4), verified by simulation against a known population.
  • t, z and chi-square procedures computed by hand before technology, with conditions checked; power; the standard error of a regression slope; and the algebraic link t = r√(n − 2)/√(1 − r2).

The fallback. The course is submitted as area C. If UC declines, it can be resubmitted as a college-preparatory elective in area G with no content changes. Either way, keep an evidence file: the alignment matrix from the builder, the UCOP syllabus text, and a scored sample of each investigation, including the capstone.

The capstone matters to the case. It is the clearest single piece of evidence of college-level work: an original question, public data, a justified inference procedure, honest conditions, and an oral defense. Protect its four stages and its six-minute defense even if the semester runs short.

Where the standards land in Statistics B

UnitMain standardsCulminating investigation
1 Continuous and Sampling DistributionsPS.4, PS.7, PS.8, PS.9, PS.15, PS.16, S-ID.4Sampling Distribution Simulation Study (1.5)
2 Estimating with ConfidencePS.17, S-IC.4, S-IC.6Estimation Study (2.5)
3 Significance TestsPS.18, S-IC.2, S-IC.5, S-IC.6Significance Test Investigation (3.5)
4 Chi-Square, Regression Inference, CapstonePS.19, PS.12, PS.13, S-IC.1, S-IC.6Capstone Inference Study (4.5)

B depends on A

B assumes students have done A’s simulations (sampling variability, the randomization test) and the San Francisco weather thread (persistence, the binomial failure). If students arrive from elsewhere, give them A 3.2, 3.4 and 4.1 as bridge work in the first week.

Myth or Fact?

PS.17-PS.19 (intervals, P-values, chi-square) are taught only in Statistics B.

Formal inference is B’s content; A builds its simulation foundations.
Quick self-check

How confident are you that you can explain which standards Statistics B completes and why the course meets area C?

Not yetVery confident

Standards this module helps you deliver: PS.4, PS.9, PS.15, PS.17, PS.18, PS.19, S-ID.4

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