3CALC

3 Calculus: Mathematics Scholarship

Course Description

Teacher in Charge: Mrs M. Darroch.

This course is a Scholarship course and the purpose of the teaching and learning is to prepare you to sit for the Scholarship exam. By taking 3CALC you are indicating your commitment to enter the Scholarship exam at the end of the year. Throughout the year we will spend a significant amount of class time on Excellence and Scholarship problems and thinking and those who put good time and effort into understanding and working through this material generally do well in the Level 3 material also. In Term 3 we will have a good amount of time dedicated to revision for exams. You will be expected to practice maths problems every day at home for 45 mins to an hour. Although the learning is targeted at the scholarship exam, learners will be expected to do all three Level 3 Mathematics Papers - Complex Numbers, Differentiation and Integration. This course covers the same content as the 3STEM course however it is aimed at Excellence only.

Recommended Prior Learning

Good understanding of modelling Curves and trig functions (Parabola, cubic, circle, hyperbolic, sin, cos, tan)

Mastery in Number skills (Percentages, fractions, ratios, rates and indices)

Fluency in Algebra skills (Expansion, factorisation, simplification and Quadratics)

Additional Course Specific Contributions & Equipment/Stationery

Math e-learning lesson & homework tool (Dr Fost) to assist and reinforce lessons. ($10 per subscription)

Specific items required for this course additional to the senior stationery list include
1 x Casio FX82AU Plus II 2 Scientific Calculator Black * Graphical Calculator an advantage
2 x 1J8 A4 Exercise Book 5mm Quad 36 Leaves
1 x A4 Display Book Insert Cover 40 Pocket Blue
NuLake Mathematics EAS 3.5 Complex Numbers Level 3 Year 13
NuLake Mathematics EAS 3.6 Differentiation Level 3 Year 13
NuLake Mathematics EAS 3.7 Integration Level 3 Year 13

Pathway

Students attending secondary school have the opportunity to win a Scholarship. A Scholarship is a monetary award to recognize top students. It does not attract credits nor contribute towards a qualification but the fact that a student has gained a Scholarship will appear on the Record of Learning and is a powerful recommendation on your CV.
The number of scholarships awarded is set to approximately 3% of the number of students sitting in Calculus at Level 3 (about 250 to 300 students). The scholarship enables students to be assessed against challenging standards and will be demanding even for the most able students in each subject. Scholarship students are expected to demonstrate high-level critical thinking, abstraction and generalization, and to integrate, synthesise and apply knowledge, skills, understanding and ideas to situations.

Awards:
Single Subject Awards
• For candidates who get Scholarship in up to two subjects
• A 'one-off' award of $500 per subject
Top Subject Scholar Award
• For the top candidate in each one of the Scholarship subjects
• $2,000 a year for up to three years as long as candidates maintain a 'B' grade average in tertiary study
Scholarship Award
• For candidates who attain Scholarship in three or more Scholarship subject
• $2,000 a year for up to three years as long as candidates maintain a 'B' grade average in tertiary study
Outstanding Scholar Award
• Usually for the next 40-60 top candidates who get three Scholarships with at least two at “Outstanding” OR more than
three Scholarships with at least one at “Outstanding” in the same year.
• $5,000 each year for up to three years as long as candidates maintain a 'B' grade average each year in their tertiary
study.
Premier Award
• For the very top 5 to 10 candidates who get at least three Scholarships at the “Outstanding” level. The number of
recipients is restricted so achieving the minimum requirement will not guarantee an award.
• $10,000 each year for three years as long as candidates maintain at least a 'B' grade average in their tertiary studies.
Entry costs:
Domestic (New Zealand) candidates: No charge.
International fee-paying candidates: $102.20 per subject. *

Career Pathways

Assessment Information

All these standards are the same as 3STEM. The focus of this course will be excellence and scholarship questions. Please note the Scholarship exam is a part of the course but does not have any credits associated with it and is a separate External Exam at the end of the Year.

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: 21 credits.
Externally Assessed Credits: 17 credits.
Internally Assessed Credits: 4 credits.

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
6
6
6
6
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
6
6
6
Level: 3
Internal or External: External
Credits: 6
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0 *
Numeracy Credits: Y
A.S. 93202 v20
NZQA Info
SCHL - Calculus
Level: 3
Internal or External: External
Credits: 0
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0
Numeracy Credits: 0
Credit Summary
Total Credits: 21
Total Level 1 Literacy Credits: 0
Total University Entrance Literacy Credits: 0
Total Numeracy Credits: 21

Approved subject for University Entrance

Number of credits that can be used for overall endorsement: 21

Learners must achieve this assessment in order t count towards the 14 credits needed for University Entrance.

Disclaimer

Please note that course assessment and costs/equipment may change.