Mathematics 1.2

Achievement Standard 91945

Use mathematical methods to explore problems that relate to life in Aotearoa New Zealand or the Pacific

5 Credits 

Internal 

This assessment is about students learning to use mathematical methods to explore problems that relate to life in Aotearoa New Zealand or the Pacific.

The following page covers each of these skills and how to write the assessment.

This standard requires students to: 

• use at least four skills from at least two of these categories: 

  • Number:

    • Reasoning with linear proportion, including inverse percentage change or more complex rates and ratios

    • Integer exponents or scientific form.

  • Algebra:

    • Manipulating and using formulae, including rearranging for a purpose

    • Manipulating and simplifying expressions, including expanding or factorising

    • Linear inequalities

    • Linear tables, equations, graphs, or patterns

    • Quadratic tables, equations, graphs, or patterns

    • Exponential tables, graphs, or patterns

    • Simultaneous linear equations with two unknowns

    • Optimising solutions.

  • Measurement:

    • Surface area of prisms, pyramids, cones, or spheres

    • Volume of pyramids, cones, spheres, or composite shapes including prisms

    • Converting between more complex metric units.

  • Geometry and Space:

    • Properties of similar shapes

    • Pythagoras’ theorem in two or three dimensions

    • Trigonometric ratios in right-angled triangles.

• Communicate accurate mathematical information related to the context of the problem 

• Use logical connections between mathematical methods

• Consider:

  • underlying assumptions made throughout the exploration and their mathematical impact on any solution found

  • mathematical explanation of limitations of models or solutions

  • mathematical generalisations or predictions, including recommendations or best models where appropriate.

Ensure you have a strong knowledge of the Number, Algebra, Measurement, and Space parts of Junior Mathematics. 

The following are practice assessments along with their marking schemes.