linked to being the gradient of the graph and the rate of change. 6 Stationary points and the second Determine geometrical properties of a G1 second derivatives 8.6 – derivative G1 understand and use the Ex 8.6A – second derivative as the rate of Differentiation is used to find stationary change of gradient points, i.e. the point where . Students are G3 differentiation to find – shown that the second derivative will gradients, tangents and normal, show if a turning point is a maximum or maxima and minima and minimum point so there is no need to stationary points draw the graph to ascertain this G3 identify where functions are – information. increasing and decreasing 7 Tangents and normal Find equations of tangents and normal G3 apply differentiation to find 8.7 – using differentiation gradients, tangents and normal, Ex 8.7A The normal at any point on a curve is maxima and minima and perpendicular to the tangent at that point. stationary points As the product of their gradients is G3 identify functions are – -1 differentiation can be used to find the increasing and decreasing equations of the tangent and the normal. 8 Chapter review lesson Identify areas of strength and See below development within the content of Recap key points of chapter. Students to the chapter complete the exam-style questions, extension questions, or online test Assessment questions 8 in Student Book Exam-style extension questions 8 in Student Book End-of-chapter test 8 on Collins Connect CHAPTER 9 Integration (5 Hours) – Prior knowledge needed Chapter 1 Chapter 3
linked to being the gradient of the graph and the rate of change. 6 Stationary points and the second derivative Differentiation is used to find stationary points, i.e. the point where . Students are shown that the second derivative will show if a turning point is a maximum or minimum point so there is no need to draw the graph to ascertain this information. Determine geometrical properties of a G1 – second derivatives G1 – understand and use the second derivative as the rate of change of gradient G3 – differentiation to find gradients, tangents and normal, maxima and minima and stationary points G3 – identify where functions are increasing and decreasing 8.6 Ex 8.6A 7 Tangents and normal The normal at any point on a curve is perpendicular to the tangent at that point. As the product of their gradients is -1 differentiation can be used to find the equations of the tangent and the normal. Find equations of tangents and normal using differentiation G3 – apply differentiation to find gradients, tangents and normal, maxima and minima and stationary points G3 – identify functions are increasing and decreasing 8.7 Ex 8.7A 8 Chapter review lesson Recap key points of chapter. Students to complete the exam-style questions, extension questions, or online test Identify areas of strength and development within the content of the chapter See below Assessment questions 8 in Student Book Exam-style extension questions 8 in Student Book End-of-chapter test 8 on Collins Connect CHAPTER 9 – Integration (5 Hours) Prior knowledge needed Chapter 1 Chapter 3
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