LA: derekthatcher
Year
Term
Colour
Levels
7
Code
Learning Area
Mathematics & Statistics
Document outlining 2024/2025 Mathematics plan.
Note that levels 4 and 5 are intended to be two year programmes.
Description
Mathematics at level 2 NCEA.
Please read the Course Overview.
In term three we will finish Pāngarau | Algebra (external, 4 credits) and start Tuanaki | Calculus (external, 5 credits).
Pāngarau | Algebra will extend students knowledge covered in level 1 NCEA.
https://algebrarules.com/ is a great reference to remind yourself of the basics.
Methods covered include:
- manipulating algebraic expressions, including rational expressions
- manipulating expressions with exponents, including fractional and negative exponents
- determining the nature of the roots of a quadratic equation
- solving exponential equations (which may include manipulating logarithms)
- forming and solving linear and quadratic equations.
Tuanaki | Calculus is a new topic for students that extends their algebra and graphing knowledge to allow them to relate both the gradients and areas to the curves of polynomial functions.
Methods covered include:
- derivatives and anti-derivatives of polynomials given in expanded form
- gradient functions
- gradient at a point
- equation of a tangent
- turning points where f(x) =0 and their nature
- function from a derived function
- rate of change problems (such as kinematics).