- Belleview High School
- AICE Mathematics II with Statistics II
- Unit 2 - Exponential and Logarithmic Functions
LOSITO, MICHAEL
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AICE Mathematics I with Statistics I
- Unit 1 - Quadratics
- Unit 2 - Functions and Graphs
- Unit 3 - Coordinate Geometry
- Unit 4 - Trigonometry
- Unit 5 - Sequences and Series
- Unit 6 - Differentiation
- Unit 7 - Integration
- Unit 8 - Representation, Location and Spread
- Unit 9 - Probability
- Unit 10 - Distributions
- Unit 11 - The Normal Distribution
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AICE Mathematics II with Statistics II
- Unit 1 - Algebra
- Unit 2 - Exponential and Logarithmic Functions
- Unit 3 - Trigonometry
- Unit 4 - Numerical Solutions
- Unit 5 - Differentiation
- Unit 6 - Vectors
- Unit 6 - Vectors
- Unit 7 - Binomial Expansion and Rational Functions
- Unit 8 - Complex Numbers
- Unit 9 - Integration & Differential Equations
- Unit 10 - The Poisson Distribution
- Unit 11 - Linear Combinations of Random Variables
- Unit 12 - Continuous Random Variables
- Unit 13 - Sampling and Estimation
- Unit 14 - Hypothesis Testing
- Pre AICE Mathematics 3 (IGCSE)
- Pre AICE Physics
- AICE MATH I - Practice Papers
- AICE MATH II - Practice Papers
- AICE Math Resources
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Unit 2 - Exponential and Logarithmic Functions
When students have completed this lesson they should be able to:
□ Understand the idea of continuous exponential growth and decay
□ Know the principal features of exponential functions and their graphs
□ Know the definition and properties of logarithmic functions
□ Switch between the exponential and logarithmic forms of an equation
□ Understand the idea and possible uses of a logarithmic scale
□ Be familiar with logarithms to the special bases e and 10
□ Solve equations and inequalities with the unknown in the index
□ Use logarithms to identify models of the forms
Differentiating Exponentials and Logarithms (Old Book)
When students have completed this lesson they should be able to:
□ Understand how to find the derivative of b^x from the definition
□ Understand the reason for selecting e as the exponential base
□ Know the derivative and integral of e^x
□ Know the derivative of ln x, and how to obtain it
□ Know the integral of 1/x, and be able to use it for both positive and negative x
□ Use the extended methods from P1 Chapter 12 to broaden the range of functions that you can differentiate and integrate