PĀNGARAU | MATHEMATICS

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).