13MAC

Year 13 Mathematics with Calculus (13MAC)

Course Description

Teacher in Charge: Mr Z. Irani.

Welcome to the world of Calculus.
The 13MAC course will give students a solid foundation in Calculus and develop their problem solving skills in various algebra and calculus contexts. Students will be offered the opportunity to gain a total of 18 unique credits, consisting of 7 credits from an internally assessed standard and 11 credits from externally assessed standards. As a UE approved subject, this course will prepare students for entry into tertiary studies, mainly in Engineering, Computing, and the Physical Sciences. The course also offers an opportunity for subject endorsement. The achievement standard AS 91579 Integration Methods - External assessment (6 credits) will be optional for students. For this they will be provided guidance and resources in order to prepare them for their external.
To take this course, students must have obtained 14 credits at Level 2 in Mathematics with Calculus (12MAC) including passing the external assessments for 2.6 Algebra Methods and 2.7 Calculus Methods and approval by the HOLA. The 13MAC course will give students a solid foundation in Calculus and develop their problem-solving skills in various algebra and calculus contexts. 

Note: Students will need a Scientific/Graphic calculator (recommended by NZQA) for this course.

Course Overview

Term 1
AS91587 Apply systems of simultaneous equations in solving problems (3 credits): This will be a closed-book 2-hour assessment and is scheduled for week 4 of Term 1.
AS 91575 Apply trigonometric methods in solving problems – Internal (4 credits): This will be a closed-book 2-hour assessment and is scheduled for week 10 of Term 1.

Term 2
AS91577 Complex Numbers - External assessment(5 credits). The end of the topic test in week 7, term 2. It is a 1 hour, closed-book assessment done under test conditions since it is an external standard.

Term 3
AS 91578 Differentiation Methods - External assessment (6 credits). The end of the topic test is scheduled for week 6, Term 3. It is a 1 hour, closed-book assessment done under test conditions since it is an external standard.

DERIVED GRADE EXAM

Term 4
Revision and preparation for the upcoming NCEA assessments

Pre-requisites

Students must have 14 credits at Level 2 in Mathematics with Calculus (12MATC) including an Achieved for both external assessments - 2.6 Algebra Methods and 2.7 Calculus Methods and approval by the HOLA. 

Contributions and Equipment/Stationery

There is a $40.50 course fee that covers NZGrapher, resources and worksheets.
Students must have the Nulake Calculus workbook (Level 3) for practice of external standards that can be ordered through Office max. Workbooks for all internal standards are recommended

OPTIONAL - Students can subscribe for Education Perfect (a digital learning platform) and get access to range of lessons, practice tasks, practice assessments as well as past external papers.

Students MUST have their own Scientific/Graphics calculator (recommended by NZQA), 1E5 Quad books, pen and chromebook.

Pathway

For students moving into further studies, Mathematics and Statistics provide foundation for:
Data Science and Modelling
Computer Science, Design and Programming
Engineering
Environmental and Earth Studies
Finance and Social Sciences
Science and Technology
Education.

Credit Information

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

Total Credits Available: 24
Internal Assessed Credits: 7
External Assessed Credits: 17
Assessment
Description
Level
Internal or
External
Credits
L1 Literacy Credits
UE Literacy Credits
Numeracy Credits
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
A.S. 91587 v2
NZQA Info

Mathematics and Statistics 3.15 - Apply systems of simultaneous equations in solving problems


Level: 3
Internal or External: Internal
Credits: 3
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.

Disclaimer

Owing to teachers responding to individual students' needs, courses and NCEA standards taught in a subject maybe different to those displayed.