Elaborations on Level Seven: Mathematics

The Ministry is migrating nzmaths content to Tāhurangi.           
Relevant and up-to-date teaching resources are being moved to Tāhūrangi (tahurangi.education.govt.nz). 
When all identified resources have been successfully moved, this website will close. We expect this to be in June 2024. 
e-ako maths, e-ako Pāngarau, and e-ako PLD 360 will continue to be available. 

For more information visit https://tahurangi.education.govt.nz/updates-to-nzmaths

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:

Patterns and relationships

M7-1: Apply co-ordinate geometry techniques to points and lines.

Read about this AO in the Senior Secondary Curriculum Guide on TKI.

 

M7-2: Display the graphs of linear and non-linear functions and connect the structure of the functions with their graphs.

Read about this AO in the Senior Secondary Curriculum Guide on TKI.

 

M7-3: Use arithmetic and geometric sequences and series.

Read about this AO in the Senior Secondary Curriculum Guide on TKI.

 

M7-4: Apply trigonometric relationships, including the sine and cosine rules, in two and three dimensions.

Read about this AO in the Senior Secondary Curriculum Guide on TKI.

 

M7-5: Choose appropriate networks to find optimal solutions.

Read about this AO in the Senior Secondary Curriculum Guide on TKI.

 

Equations and expressions

M7-6: Manipulate rational, exponential, and logarithmic algebraic expressions.

Read about this AO in the Senior Secondary Curriculum Guide on TKI.

 

M7-7: Form and use linear, quadratic, and simple trigonometric equations.

Read about this AO in the Senior Secondary Curriculum Guide on TKI.

 

M7-8: Form and use pairs of simultaneous equations, one of which may be non-linear.

Read about this AO in the Senior Secondary Curriculum Guide on TKI.

 

Calculus

M7-9: Sketch the graphs of functions and their gradient functions and describe the relationship between these graphs.

Read about this AO in the Senior Secondary Curriculum Guide on TKI.

 

M7-10: Apply differentiation and anti-differentiation techniques to polynomials.

Read about this AO in the Senior Secondary Curriculum Guide on TKI.