Te Kete Ipurangi Navigation:

Te Kete Ipurangi
Communities
Schools

Te Kete Ipurangi user options:


Senior Secondary navigation


RSS

Achievement objective M7-10

In a range of meaningful contexts, students will be engaged in thinking mathematically and statistically. They will solve problems and model situations that require them to:

  • apply differentiation and anti-differentiation techniques to polynomials.

Indicators

  • Develops the rules for differentiation of polynomials using understanding of gradient function and technology (graphics calculator or computer).
  • Solves differentiation problems involving:
    • rates of change
    • finding points where gradient has a particular value
    • finding the equation of the tangent to a curve at a point
    • finding local maxima/minima of a function
    • kinematics.
  • Develops rules for anti-differentiation of polynomials using understanding of gradient function and technology (graphics calculator or computer).
  • Solves anti-differentation problems involving:
    • finding a family of curves with a given gradient
    • finding the constant of anti-differentiation
    • simple polynomial differential equations (not including separation of variables).
  • Make links with graphs M7-9.
  • See key mathematical ideas on NZmaths.

Progression

M7-10 links from NA6-4, GM6-3 and to M8-11, M8-12.

What is new/changed?

  • This does not include finding definite integrals or areas.

Possible context elaborations

Assessment for qualifications

NCEA achievement standards at level 1, 2 and 3 have been aligned to the New Zealand Curriculum. Please ensure that you are using the correct version of the standards by going to the NZQA website.

The following achievement standard(s) could assess learning outcomes from this AO:

  • AS91262 Mathematics and statistics 2.7 Apply calculus methods in solving problems

Refer to the mathematics and statistics matrix.

Last updated September 26, 2013



Footer: