NCEA Course Booklet

Mathematics

Year 13

Year 13

Calculus

Statistics

Prerequisites In total, 15 Level 2 credits, which include Merit grades at AS 91261 Algebra and AS 91262 Calculus. Description This course is designed for students intending to complete any algebraic or calculus-based study at university level, such as physical sciences or engineering. Assessment This course contributes towards NCEA Level 3 and University Entrance, with 17 of the 21 credits externally assessed by examination, and the remaining 4 credits internally assessed.

Prerequisites In total, 15 credits in Year 12 Mathematics, including AS 91267 Probability, or 15 credits in Year 12 Mathematics for Statistics, including AS 91264 Inference and AS 91267 Probability. Description This course is designed for students interested in quantitative aspects of the biological and social sciences, medicine, commerce and business administration. Assessment This course contributes towards NCEA Level 3 and University Entrance, with 8 of the 20 credits externally assessed by examination, and the remaining 12 credits internally assessed.

The following Achievement Standards will be assessed:

The following Achievement Standards will be assessed:

• AS 91575 (4 credits – internal) Apply trigonometric methods in solving problems. • AS 91577 (5 credits – external) Apply the algebra of complex numbers in solving problems. • AS 91578 (6 credits – external) Apply differentiation methods in solving problems. • AS 91579 (6 credits – external) Apply integration methods in solving problems.

• AS 91580 (4 credits – internal) Investigate time series data. • AS 91581 (4 credits – internal) Investigate bivariate measurement data. • AS 91582 (4 credits – internal) Use statistical methods to make inferences. • AS 91585 (4 credits – external) Apply probability concepts in solving problems.

• AS 91586 (4 credits – external) Apply probability distributions in solving problems.

54 Curriculum Studies Guide

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