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Statistical Investigations Part 2

These lesson plans were developed in conjunction with the TLRI research project: Building students’ inferential reasoning: statistics curriculum levels 5 and 6.

While each series of activities are set up as lesson plans, they may take more or less than a lesson of class time.  They form a possible sequence of learning and each block works together with the other blocks.  The lessons are developed using , they could be adapted to any data set or any year of CensusAtSchool.

Lesson 5: Introducing sampling

Focus for lesson: • Revisit posing investigative questions, some summary mostly comparison. • Identifying and clarifying the population • Sampling variability – all samples from a given population are different (can’t tell exactly) • Distorted view of population – samples give (same) distorted view, similarity among samples • What is a sample? • Why sample?

Lesson 6: Introducing informal inferential reasoning

Focus for lesson: • Can the sample tell us something about the population? • Informal inferential reasoning • Making I wonder statements about the population.

Lesson 7: Introduction to box plots

Focus for lesson: • Introducing the idea of middle group and overall spread. • Describing the position of middle groups relative to one another. • Describing spread of middle group and spread overall.

Lesson 8: Formalising, description and inference – box plots

Focus for lesson: • Drawing box plots by finding medians and quartiles from dot plots. • Describing box plots making I notice statements. • Inferring from box plots making I wonder statements. • Focus on the language of description and inference.

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