Written for NCEA Level 1 2024 Curriculum

Authors : Geoff Ackerley, Wiesje Geldof, Katy Thorne

Total of 5 Credits - Internally Assessed

This book contains notes, questions and practice investigations for the Experimental Probability Investigation for 1.1 Statistical Enquiry Process. An Experimental Probability Investigation is one of the four options for the assessment of this standard, the other options are : Relationship Investigation, Time Series Investigation and Comparison Investigation. This standard is internally assessed and is worth 5 credits.

Students are able to and encouraged to use appropriate technology, such as graphing calculators/software in their learning and assessment for this standard.

In this workbook students will find clear explanations and detailed worked examples showing the step-by-step processes that will be needed to solve each type of problem, these are followed by a large number of practice exercises and problems of increasing difficulty. At the end of the workbook there is are Practice Investigations. Candidates should use this to evaluate their strengths and weaknesses before the internal assessment.

A full set of answers is included, which acts as a guide to structuring quality answers. An abbreviated version of the Achievement Criteria and Explanatory Notes of the Achievement Standard itself complete the resource. 

Topics Covered by this Resource Include :

• Probability from Experiments      
• Organising Data      
• Data Display   
• Using Technology      
• Theoretical Probability      
• Expectation
• Experimental Problem, Plan and Data      
• Theoretical Comparisons      
• Form a Conclusion   
• Example Investigation      
• Practice Investigations       

The Sigma Workbook 'AS 1.1 Experimental Probability Investigation' is best bought before the standard is taught at school and used throughout this time as a classroom and homework resource. Alternatively, the workbook would make an excellent independent study resource in the lead-up to the internal assessment of Achievement Standard 1.1.

Once completed, 'AS 1.1 Experimental Probability Investigation' provides a useful set of revision notes at assessment time. It can be kept as a reference book if students intend taking a Year 12 mathematics course.