Level 3 Mathematics with Statistics
Course Description
Head of Faculty/Teacher in Charge: Mr C. Alino.
The course involves using and interpreting data and statistical processes, to make sense of the world around us. This course provides a sound basis in Statistical theory. The content consists of probability concepts, evaluating a statistical report, and the following investigations; time series, bivariate, and formal inference.
Note - any student taking two or more courses that require significant time away from school (such as ODED, Dual Enrolment, or Gateway) may find it difficult to cope with the demands of this course. In this case, entry will be subject to an interview with the HOF of Mathematics.
Course Overview
What is taught in courses varies from year to year. This course could include:
Statistical Inference - use statistical methods to make a formal inference involving showing evidence of using each component of the statistical enquiry cycle (PPDAC), posing a comparison investigative question using a given multivariate data set, selecting and using appropriate displays and summary statistics, discussing sample distributions, discussing sampling variability, including the variability of estimates, making an appropriate formal statistical inference, and communicating findings in a conclusion
Time Series - involves showing evidence of using each component of the statistical enquiry cycle (PPDAC) using time series data
Bivariate - involves showing evidence of using each component of the statistical enquiry cycle (PPDAC) using bivariate measurement data
Probability - applying probability concepts to solve problems using Venn diagrams, probability trees, and tables.
Statistically Based Reports - identifying and commenting on key features in reports relevant to conclusions made in those reports; the statistical enquiry cycle, principles of experimental design, surveys and polls, including potential sources of bias, interpreting statistical inferences, interpreting a wide variety of statistical tables and graphs, analysing a wide variety of statistical situations, critiquing causal-relationship claims, and interpreting margins of error
Recommended Prior Learning
Students are required to have at least 14 Level 2 Mathematics credits, including 91269 (Systems of Equations) and/or 91267 (Probability), or HOF approval.
Contributions and Equipment/Stationery
A calculator is essential. Calculators and computers are used extensively.
1 x Maths Exercise Book
1 x Walker 3.10 Statistical Inference (ISBN: 9780170425711)
1 x Walker 3.14 Probability (ISBN: 9780170389372)
1 x Walker 3.8 Time Series (ISBN 9780170472975)
1 x Walker 3.9 Bivariate (ISBN: 9780170462297)
Pathway
Assessment Information
3 x Achievement standards internally assessed using Reports2 x Achievement standards externally assessed
Credit Information
You will be assessed in this course through all or a selection of the standards listed below.
This course is eligible for subject endorsement.
This course is approved for University Entrance.
External
NZQA Info
Mathematics and Statistics 3.8 - Investigate time series data
NZQA Info
Mathematics and Statistics 3.9 - Investigate bivariate measurement data
NZQA Info
Mathematics and Statistics 3.10 - Use statistical methods to make a formal inference
NZQA Info
Mathematics and Statistics 3.12 - Evaluate statistically based reports
NZQA Info
Mathematics and Statistics 3.13 - Apply probability concepts in solving problems
Approved subject for University Entrance
Number of credits that can be used for overall endorsement: 20
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Disclaimer
Please note that courses will go ahead only if student numbers, staffing, and timetabling allow it. Where a subject is oversubscribed, and there are insufficient numbers or resources to create an extra class, a ballot system may be applied.
Costs
The Board of Trustees has again asked to opt into the Ministry of Education donation scheme. Doing so resulted in the ability to waive student fee donations. Kaiapoi High School aims to deliver quality educational courses over and above those that which is funded by the Ministry. It is likely the School will opt into the donation scheme for 2025, however parental contribution for the costs of trips and activities where participation is optional, and/or components not covered by the Government grant, may be requested. We appreciate the financial support our families make to the School.