12MAA

12 Maths with Algebra (12MAA)

Course Description

Teacher in Charge: Angela Brett.

12 Maths with Algebra 

This course is designed for students who wish to continue Maths to a higher level. It is excellent preparation for NCEA Level 3 Calculus and Statistics and/or a Science pathway.

Course Components

  • Learn how to apply algebraic methods to solving problems
  • Practice applying calculus methods in solving problems
  • Gain further skills in statistics and probability problems
  • Make connections between algebra and graphs

Course Overview

Term 1
Algebra I – Expanding, factorizing & simplifying linear, quadratic, and fractional expressions.
Forming and solving linear & quadratic equations. Applications including parabolic graphs.

Coordinate geometry – Lengths, intersections, and midpoints of line segments.
Using algebra to prove geometric properties of points, lines, and polygonal shapes

Assessment: A.S 2.1 Solve coordinate geometry problems (2 credits)

Term 2
Graphical models – Use non-linear graphical models to solve problems in contexts
Assessment: A.S 2.2 Apply graphical models in solving problems (4 credits)

Statistics – Use Statistical methods to make inferences about population statistical measures.
Assessment: AS 2.9 Use statistical methods to make inferences (4 credits)

Algebra II – Equations with exponents and logarithms.

Term 3
Calculus - using algebra to model situations involving change
or
Demonstrate an understanding of probability

Assessment: Mock exams for Algebra & Calculus

Term 4
Revision for externals, mock exam for Probability for those students choosing this.

Recommended Prior Learning

Entry Suggestion

15 credits of Level 1 Maths, with evidence of understanding in Algebra and Graphs

Contributions and Equipment/Stationery

Scientific calculator (NCEA-approved https://www.nzqa.govt.nz/ncea/subjects/approved-calculator-list/)
Students planning to continue on to 13MAC should consider purchasing a graphics calculator at this stage. (FX-9750 or FX-9860, all variants)

Assessment Information

Possible Credits
External - 9 credits
Internal - 10 credits

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: 19
Internal Assessed Credits: 10
External Assessed Credits: 9
Assessment
Description
Level
Internal or
External
Credits
L1 Literacy Credits
UE Literacy Credits
Numeracy Credits
A.S. 91256 v3
NZQA Info

Mathematics and Statistics 2.1 - Apply co-ordinate geometry methods in solving problems


Level: 2
Internal or External: Internal
Credits: 2
Level 1 Literacy Credits: 0
University Entrance Literacy Credits: 0
Numeracy Credits: Y
A.S. 91257 v3
NZQA Info

Mathematics and Statistics 2.2 - Apply graphical methods in solving problems


Level: 2
Internal or External: Internal
Credits: 4
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
Credit Summary
Total Credits: 19
Total Level 1 Literacy Credits: 0
Total University Entrance Literacy Credits: 0
Total Numeracy Credits: 19