L3MATS

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 Reports
2 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.

Total Credits Available: 20
Internal Assessed Credits: 12
External Assessed Credits: 8
Assessment
Description
Level
Internal or
External
Credits
L1 Literacy Credits
UE Literacy Credits
Numeracy Credits
A.S. 91580 v2
NZQA Info

Mathematics and Statistics 3.8 - Investigate time series data


Level: 3
Internal or External: Internal
Credits: 4
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0 *
Numeracy Credits: Y
A.S. 91581 v2
NZQA Info

Mathematics and Statistics 3.9 - Investigate bivariate measurement data


Level: 3
Internal or External: Internal
Credits: 4
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0 *
Numeracy Credits: Y
A.S. 91582 v2
NZQA Info

Mathematics and Statistics 3.10 - Use statistical methods to make a formal inference


Level: 3
Internal or External: Internal
Credits: 4
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0 *
Numeracy Credits: Y
A.S. 91584 v2
NZQA Info

Mathematics and Statistics 3.12 - Evaluate statistically based reports


Level: 3
Internal or External: External
Credits: 4
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 4r,4w *
Numeracy Credits: Y
A.S. 91585 v2
NZQA Info

Mathematics and Statistics 3.13 - Apply probability concepts in solving problems


Level: 3
Internal or External: External
Credits: 4
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0 *
Numeracy Credits: Y
Credit Summary
Total Credits: 20
Total Level 1 Literacy Credits: 0
Total University Entrance Literacy Credits: 4
Total Numeracy Credits: 20

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.