- Belleview High School
- AICE Mathematics I with Statistics I
- Unit 3 - Coordinate Geometry
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 3 – Coordinate Geometry
When students have completed this lesson they should be able to:
- Find the equation of a straight line when given sufficient information. ie… the equation of a line through a given point with a given gradient and the equation of the line joining two points
- Interpret and use any of the forms in solving problems
- Understand that the equation (x ‒ a)2 + (y ‒ b)2 = r2 represents the circle with centre (a, b) and radius r ; including use of the expanded form
- Use algebraic methods to solve problems involving lines and circles
- Understand the relationship between a graph and its associated algebraic equation, and use the relationship between points of intersection and graphs and solutions of equations
- Find the distance between two points, the mid-point of a line segment, given the coordinates of its end points
- Find the gradient of a line segment, give the coordinates of its end points and tell from their gradients whether two lines are parallel or perpendicular