Formulae
Glossary
Calculus — the mathematics of change
Gradient revision
Gradient function of a parabola
Sketching gradient functions of curves
Calculus — the mathematics of change
Terminology
Differentiation
Differentiating a polynomial
Using a differentiated polynomial to calculate the gradient
Using a differentiated polynomial to locate points where the curve has a given gradient
Putting it all together
Locating turning points and determining their nature
Finding where functions are increasing and decreasing
Applications
Anti-differentiation
Anti-differentiating a polynomial
Calculating c
Kinematics
Differentiation in kinematics
Anti-differentiation in kinematics
Practice tasks
Answers
Charlotte has over 10 years’ experience in teaching Mathematics, the majority of this as Assistant HOD of Mathematics and Dean of Year 9 at Darfield High School. She has also undertaken a year at St Margaret’s – a high decile, girls’ school. Here she focused on teaching the junior levels (including Year 7 and 8).
Victoria has twenty years’ experience in teaching Mathematics and has recently retired as Teacher of Mathematics and Specialist Classroom Teacher at Riccarton High School. She has received a Jim Campbell award for teaching excellence (2003) and an Ernest Duncan award in Mathematics (2007).
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