PĀNGARAU | MATHEMATICS (7T4)

Year
2026
Term
Term 4.1
Colour
Kākāriki
Levels
7
Code
7MAT
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 take a moment to read the Course Overview.

In term four, we'll revisit all of the topics for the externals:Tuanaki | Calculus, Pāngarau | Algebra, and Tūponotanga | Probability Concepts.

Tuanaki | Calculus (External - AS91262, 5 credits) 

  • Differentiate and integrate polynomial functions
  • Find the gradient at any point on a curve
  • Write the equation of a tangent line
  • Identify and classify turning points
  • Reconstruct functions from their derivatives
  • Apply calculus to rate-of-change problems (e.g. motion)

Pāngarau | Algebra (External - AS91261, 4 credits) 

  • Manipulate algebraic expressions, including rational expressions
  • Manipulating expressions with exponents - positive, negative, and fractional
  • Solve quadratic and exponential equations
  • Determine the nature of the roots of a quadratic
  • Form and solve linear and quadratic equations from real-life contexts

Tūponotanga | Probability Concepts (External - AS91267, 4 credits)

  • Risk and relative risk
  • The normal distribution and how it is used
  • Experimental distributions and relative frequency
  • Representing probability using two-way tables and probability trees
mathematics
algebra
calculus