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Elaborations on Level Seven: Mathematics

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.