2MATC

Level 2 Mathematics with Calculus

Course Description

This course provides the opportunity for students to deepen their understanding of algebra and learn the basics of calculus. Students also learn about trigonometry, probability and complete a statistical investigation. Mathematics with Calculus  is designed for those students who may wish to pursue Mathematics or subjects that use Mathematics at a tertiary level.

Learning Opportunities

In this course you will need to:

Develop these skills:Explore this content:
  • Critical thinking - Be able to illustrate your mathematical thinking visually and to demonstrate mathematical curiosity by asking mathematical questions.
  • Develop your understanding of algebraic notation, expressions to solve contextual algebraic problems.
  • Reasons - be able to demonstrate a set of logical steps to their solution. 
  • Uses the sine and cosine rule, area of triangles, sectors and segments to solve problems involving non right angled triangles.
  • Solve problems
  • Use calculus to understand problems involving rates of change and gradient.


  • Investigates chance and data through probability models and a statistical investigation.


Resources Required

2 x 1E5 Exercise Books.
A Casio Graphics FX9750 calculator is strongly recommended

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.

Total Credits Available: 20
Internal Assessed Credits: 7
External Assessed Credits: 13
Assessment
Description
Level
Internal or
External
Credits
L1 Literacy Credits
UE Literacy Credits
Numeracy Credits
A.S. 91259 v3
NZQA Info

Mathematics and Statistics 2.4 - Apply trigonometric relationships in solving problems


Level: 2
Internal or External: Internal
Credits: 3
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0
Numeracy Credits: Y
A.S. 91261 v3
NZQA Info

Mathematics and Statistics 2.6 - Apply algebraic methods in solving problems


Level: 2
Internal or External: External
Credits: 4
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0
Numeracy Credits: Y
A.S. 91262 v3
NZQA Info

Mathematics and Statistics 2.7 - Apply calculus methods in solving problems


Level: 2
Internal or External: External
Credits: 5
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0
Numeracy Credits: Y
A.S. 91264 v3
NZQA Info

Mathematics and Statistics 2.9 - Use statistical methods to make an inference


Level: 2
Internal or External: Internal
Credits: 4
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0
Numeracy Credits: Y
A.S. 91267 v3
NZQA Info

Mathematics and Statistics 2.12 - Apply probability methods in solving problems


Level: 2
Internal or External: External
Credits: 4
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0
Numeracy Credits: Y
Credit Summary
Total Credits: 20
Total Level 1 Literacy Credits: 0
Total University Entrance Literacy Credits: 0
Total Numeracy Credits: 20