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IBSL Analysis and Approaches Y1
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Calculus/IBSL Analysis and Approaches Y2
This Week During Calculus
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In this unit students will cover the following IBSL Analysis and Approaches Standards:
SL 5.1
Introduction to the concept of a limit.
Derivative interpreted as gradient function and as rate of change.
SL 5.2
Increasing and decreasing functions.
Graphical interpretation of f ′(x) > 0, f ′(x) = 0,
f ′(x) < 0.
SL 5.3
Derivative of f(x) = ax^n is f'(x)=anx^(n-1), n
∈ Z
SL 5.4
Tangents and normals at a given point, and their equations.
SL 5.6
Derivative of x^n (n ∈ Q), sinx, cosx, e^x and lnx.
Differentiation of a sum and a multiple of these
functions.
The chain rule for composite functions.
The product and quotient rules.
SL 5.7
The second derivative.
Graphical behavior of functions, including the relationship between the graphs of f , f ′ and f ′′.
SL 5.8
Local maximum and minimum points.
Testing for maximum and minimum.
Optimization
Points of inflection with zero and non-zero gradients.
SL 5.9
Kinematic problems involving displacement s, velocity v, acceleration a and total distance traveled.
-I
B Diploma Program Mathematics: Analysis & Approaches Guide
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IBSL Analysis and Approaches Y1
This Week During IBSL Analysis Y1
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Unit 5 Resources
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Week 8
HL STUDENTS: Sequences and Series and Matrices
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Homework Answers
Calculus/IBSL Analysis and Approaches Y2
This Week During Calculus
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Week 2
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Week 11
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