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NZ Level 7 (NZC) Level 2 (NCEA)
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Algebra
Indices
Equations
Inequalities
Linear Equations
Systems of Equations
Quadratic Equations
Power Functions
Cubic Functions
Functions (Theory of)
Root Functions
Hyperbolas
Absolute Value Functions
Logarithmic Functions
Exponential Functions
Trigonometric Functions
Trigonometric Graphs
Polynomials (Manipulation and Zeros)
Measurement
Trigonometry
Probability
Language and Use of Statistics
Univariate Data
Regression Analysis
Random Variables
Populations and Samples
Normal Distribution
Networks
Sequences and Series
Rates of Change
Differentiation
Review of Gradient and Original Functions
Notations for the derivative (investigation) LIVE
Rate of change functions
Deriving the Power Rule
Power Rule (x^n)
Derivative of a Sum (x^n)
Power rule (ax^n)
Derivative of a Sum (ax^n)
Power rule (x^n and ax^n)
Derivative of a Sum (x^n, ax^n)
Further derivatives using power rule
Derivative of a polynomial (expansion then power rule)
Evaluate Derivative at a point
Tangents (gradients and equations using power rule)
Simple applications (using power rule only)
Speed, displacement and velocity
Key Features of Graphs and the Derivative
Sketching functions using derivative information
Maximums and Minimums Using Calculus (power rule only)
Primitive Functions
Applications of primitive functions
Integration
Coding and Algorithms
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