- Belleview High School
- AICE Mathematics II with Statistics II
- Unit 4 - Numerical Solutions
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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Chapter 8 – Solving Equations Numerically
When students have completed this lesson they should be able to:
- Use the sign-change rules to find approximate solutions by decimal search
- Know how to use a chord approximation to improve the efficiency of decimal search
- Use an iterative method to produce a sequence which converges to a root
- Understand that the choice of iterative method affects whether a sequence converges or not, and know what determines its behavior
- Appreciate that it is possible to modify and iterative method to speed up convergence
- Appreciate that decisions about choice of method may depend on what sort of calculator or computer software you are using
Chapter 9 – The Trapezium Rule
When students have completed this lesson they should be able to:
- Use the trapezium rule to estimate the value of a definite integral
- Use a sketch, in some cases, to determine whether the trapezium rule approximation is an overestimate or an underestimate