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.
External
NZQA Info
Mathematics and Statistics 3.3 - Apply trigonometric methods in solving problems
NZQA Info
Mathematics and Statistics 3.5 - Apply the algebra of complex numbers in solving problems
NZQA Info
Mathematics and Statistics 3.6 - Apply differentiation methods in solving problems
NZQA Info
Mathematics and Statistics 3.7 - Apply integration methods in solving problems
NZQA Info
Mathematics and Statistics 3.15 - Apply systems of simultaneous equations in solving problems
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.