Maths

Activities
Chapter 24: Applications of Differentiation
Activity 12
ACTION
OBJECTIVE
Activity 13
ACTION
OBJECTIVE
Activity 14
ACTION
OBJECTIVE
Activity 15
ACTION
OBJECTIVE
Activity 16
ACTION
OBJECTIVE
Activity 17
ACTION
OBJECTIVE
Activity 18
ACTION
OBJECTIVE
Activity 19
ACTION
OBJECTIVE
Exploring slopes of tangents
To calculate the slopes of a number of tangents to curves
Exploring increasing and decreasing curves
To examine a number of functions to determine where their curves are increasing and
decreasing
Understanding the nature of slopes
To explore the nature of slopes by finding their first and second derivatives
Sketching graphs of first and second derivatives
To sketch the graphs of the first and second derivative of functions
Sketching exponential curves
To sketch the graphs of exponential functions
Sketching log curves
To sketch the graphs of log functions
Exploring rates of change
To understand some simple ideas about rate of change
Exploring modelling and optimisation
To consider some basic ideas about modelling and optimisation
Section 9: Integration
Chapter 25: Techniques of Integration
Activity 1
ACTION Introducing the idea of integration (anti-differentiation)
OBJECTIVE To think backwards from the derivative to the original function
Activity 2
ACTION Using rational power integration 1
OBJECTIVE To think backwards from the derivative to the original function with functions involving
rational powers
Activity 3
ACTION Using rational power integration 2
OBJECTIVE To progress to more complex rational powers (a follow-on activity to Activity 2)
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