WHAKATAUKI:
Kei hopu tōu ringa ki te aka tāepa, engari kia mau ki te aka matua.
Cling to the main vine, not the loose one.
KAUPAPA:
Mathematics is the exploration and use of patterns and relationships in quantities, space, and time. Statistics is the exploration and use of patterns and relationships in data. These two disciplines are related but involve different ways of thinking and solving problems. Both equip ākonga with effective means for modelling, analysing, and interpreting the world in which they live.
Mathematicians and statisticians use symbols, graphs, displays, and diagrams to help them find and communicate patterns and relationships. They evaluate information to make informed decisions and create models to represent both real-life and hypothetical situations. These situations are drawn from a wide range of social, cultural, scientific, technological, environmental, and economic contexts.
YEAR 12 PREREQUISITES:
Year 11 Merit endorsed in Mathematics for 12 Mathematics and Achieved endorsed in Year 11 Mathematics for 12 Internal Mathematics
YEAR 13 PREREQUISITES:
Year 12 Merit endorsed in Mathematics for 13 Calculus and Statistics and Achieved endorsed for 13 Mathematics
COURSE OUTLINE:
Students in Mathematics and Statistics will:
develop mathematical and statistical reasoning, critical-thinking skills, and the capability to work through problems systematically (critical thinking includes Indigenous ways of acquiring knowledge)
develop mathematical and statistical literacy to interpret and evaluate mathematical and statistical data
use creative thinking and experimentation to further mathematical and statistical comprehension
understand how to apply mathematical methods and concepts to material problems and contexts within the world of work.
develop their ability to make meaning of mathematical and statistical symbols, equations, expressions, and graphs
explain working and reasoning when solving mathematical or statistical problems
interpret and communicate mathematical and statistical ideas to for varied purposes including solving problems.
This course consists mainly of internal standards (AS2.1 - 2.5) and one external standard AS2.12
This course consists of four internal standards (AS2.1, 2.2, 2.3 and 2.4) and three external standards (AS2.6, 2.7 and 2.12)
This course consists mainly of internal standards (AS3.2, 3.3, 3.4, and 3.15) and one external standard AS3.12
This course consists of four internal standards (AS3.2, 3.8, 3.9 and 3.11) and two external standards (AS3.12 and 3.14)
This course consists of two internal standards (AS3.3 and 3.15) and three external standards (AS3.5 - 3.6)
YEAR 12 and 13 COSTS:
Students will be charged for a workbook for each standard studied
A CASIO FX9860 Graphics Calculator is needed
YEAR 12 ASSESSMENTS
2.1
AS 91256
Apply co-ordinate geometry methods in solving problems
2 Credits
Internal
2.2
AS 91257
Apply graphical methods in solving problems
4 Credits
Internal
2.3
AS 91258
Apply sequences and series in solving problems
2 Credits
Internal
2.4
AS 91259
Apply trigonometric relationships in solving problems
3 Credits
Internal
2.5
AS 91260
Apply network methods in solving problems
2 Credits
Internal
2.6
AS 91261
Apply algebraic methods in solving problems
4 Credits
External
2.7
AS 91262
Apply calculus methods in solving problems
5 Credits
External
2.12
AS 91267
Apply probability methods in solving problems
4 Credits
External
YEAR 13 ASSESSMENTS (Statistical & Mathematical)
3.2
AS 91574
Apply linear programming methods in solving problems
3 Credits
Internal
3.3
AS 91575
Apply trigonometric methods in solving problems
4 Credits
Internal
3.4
AS 91576
Use critical path analysis in solving problems
2 Credits
Internal
3.5
AS 91577
Apply the algebra of complex numbers in solving problems
5 Credits
External
3.6
AS 91578
Apply differentiation methods in solving problems
6 Credits
External
3.7
AS 91579
Apply integration methods in solving problems
6 Credits
External
3.8
AS 91580
Investigate time series data
4 Credits
Internal
3.9
AS 91581
Investigate bivariate measurement data
5 Credits
Internal
3.11
AS 91583
Conduct an experiment to investigate a situation using experimental design principles
4 Credits
Internal
3.12
AS 91584
Evaluate statistically based reports
4 Credits
External
3.14
AS 91586
Apply probability distributions in solving problems
4 Credits
External
3.15
AS 91587
Apply systems of simultaneous equations in solving problems
3 Credits
Internal
FUTURE STUDIES / CAREER OPTIONS:
Mathematics is a good general-purpose course. It is intended for students interested in continuing studies in commerce and administration and in general any field where the collection, analysis and interpretation of quantitative data is important.
Mathematics with Statistics is a good general-purpose mathematics course. It is intended for students interested in continuing studies in biological and social sciences, medicine, commerce and administration and in general any field where the collection, analysis and interpretation of quantitative data is important.
Mathematics with Calculus has continuing themes of number systems and functions that are brought to a logical conclusion making it appropriate for completing your mathematical school-level education. It provides a good basis for future study of science, engineering, surveying or economics at tertiary level.