Tūponotanga | Probability

Year
2026
Term
Term 4.1
Colour
Kikorangi
Levels
5
Code
5MAT
Learning Area

Mathematics & Statistics

Document outlining 2024/2025 Mathematics plan.

Note that levels 4 and 5 are intended to be two year programmes.

Description

Tauira will be learning about Statistics and Probability through these activities:

 

Data Collection & Representation

  • Data Types: Categorical vs. numerical (discrete/continuous), avoiding sampling bias.
  • Visualising Data: Frequency tables, bar charts, histograms, stem-and-leaf plots.

Summary Statistics & Analysis

  • Centre & Spread: Calculating Mean, Median, Mode, Range, and Interquartile Range (IQR).
  • Visual Displays: Five-number summary and box plots.

Week 3: Single-Event Probability & Experiments

  • Theoretical Basics: Probability scale (0–1), calculating outcomes, complementary events.
  • Experimental Probability: Relative frequency vs. theoretical expectations.

Week 4: Compound Events & Multi-Step Experiments

  • Visualising Outcomes: Venn diagrams, two-way tables, and tree diagrams.
  • Multi-Step Probabilities: Independent vs. dependent events (with/without replacement).
XKCD
Probability
statistics
mathematics