Mathematics 1.4

Achievement Standard 91947

Demonstrate Mathematical Reasoning

5 Credits 

External

This assessment is about students demonstrating that they can use a variety of mathematical methods to solve abstract and real world problems. 

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

This standard requires students to: 

• use mathematical methods including: 

  • Number and Algebra

    • manipulating and simplifying expressions

    • generalising properties of numbers and operations

    • inequations

    • linear and quadratic equations

    • simultaneous linear equations with two unknowns

    • optimal solutions

    • relate graphs, tables, equations, and patterns

    • relate rate of change to the gradient of a graph

  • Measurement, and Geometry and Space

    • Pythagoras’ theorem in right-angled triangles in 2D and 3D situations

    • trigonometric ratios in right-angled triangles in 2D and 3D situations

    • properties of similar shapes

    • surface area of prisms, pyramids, cones, and spheres

    • volume of pyramids, cones, spheres, and composite shapes including prisms

• use mathematical concepts and terms 

• communicate using appropriate representations (equations, symbols, graphs, sentences) 

• carry out multiple steps correctly with a clear chain of reasoning

• form a generalisation 

• complete a proof

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

The following are past assessments along with their marking schemes and student answers for 1.4 Mathematical Reasoning.