13MAC

# NCEA Level 3 Mathematics with Calculus

#### Course Description

Teacher in Charge: Mr M. Paull.

Mathematics with Calculus covers standards in Algebra, Trigonometry, Conic Sections, Differentiation and Integration. The Algebra, Differentiation and Integration standards are assessed externally. All standards in this course require a high level of algebra.

This course is fundamental background to tertiary study in Engineering, Architecture, Veterinary Science, Health Science and the Physical sciences.

#### Recommended Prior Learning

Students need to have studied 12MAT or 12MAX  at level 2.

In addition they need to have at least 12 credits in Mathematics at Level 2.

In addition students need to have passed the Level 2 Algebra (AS91261) and Calculus (AS91262) external standards. Voiding either of these papers will mean students will not gain entrance to this course.

Students also need to attain a mark of over 60% in the Burnside High School Graphing assignment.

#### Contributions and Equipment/Stationery

Scientific Calculator (approx \$20)
Workbooks \$30

#### Credit Information

You will be assessed in this course through all or a selection of the standards listed below.

Total Credits Available: 24 credits.
Externally Assessed Credits: 17 credits.
Internally Assessed Credits: 7 credits.

Assessment
Description
A.S. 91573 v2
NZQA Info
Mathematics and Statistics 3.1 - Apply the geometry of conic sections in solving problems
Level: 3
Internal or External: Internal
Credits: 3
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0 *
Numeracy Credits: Y
A.S. 91575 v2
NZQA Info
Mathematics and Statistics 3.3 - Apply trigonometric methods in solving problems
Level: 3
Internal or External: Internal
Credits: 4
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0 *
Numeracy Credits: Y
A.S. 91577 v2
NZQA Info
Mathematics and Statistics 3.5 - Apply the algebra of complex numbers in solving problems
Level: 3
Internal or External: External
Credits: 5
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0 *
Numeracy Credits: Y
A.S. 91578 v2
NZQA Info
Mathematics and Statistics 3.6 - Apply differentiation methods in solving problems
Level: 3
Internal or External: External
Credits: 6
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0 *
Numeracy Credits: Y
A.S. 91579 v2
NZQA Info
Mathematics and Statistics 3.7 - Apply integration methods in solving problems
Level: 3
Internal or External: External
Credits: 6
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0 *
Numeracy Credits: Y
Credit Summary
Total Credits: 24
Total Level 1 Literacy Credits: 0
Total University Entrance Literacy Credits: 0
Total Numeracy Credits: 24

#### Approved subject for University Entrance

Number of credits that can be used for overall endorsement: 24

Only students engaged in learning and achievement derived from Te Marautanga o Aotearoa are eligible to be awarded these subjects as part of the requirement for 14 credits in each of three subjects.