Outline
Coordinate & Analytic Geometry
- Author:
- Tim Brzezinski
Table of Contents
Conic Sections: 3D to 2D
Equations of Circles
Parabolas
- Parabola: Cause and Effect
- Locus Problem (1)
- Locus Construction 1
- Animation 85
- Parabola as a Locus
- Animation 4
- Locus Constructions (via Paper Folding)
- Parabola (Locus Construction)
- Parabola (Graph & Equation Anatomy)
- Parabolas: Quick Anatomy Exploration
- Reflectors, Cookers, and Other Phenomena
- Parabola (Locus): Quick Prompt
- Graphing Parabolas: Focus and Vertex Placement
- Quick Locus Exploration
Ellipses and Hyperbolas
- Locus Problem (2)
- Locus Construction 2
- Ellipse (Locus Construction)
- Animation 86
- Ellipse: Magic Sum = ?
- Ellipse: Magic Sum = ? (V2)
- Animation 10
- Quiz: Graphing Ellipses (EQ in Standard Form)
- Locus Problem (3)
- Locus Construction 3
- Animation 87
- Hyperbola: Difference = ?
- Animation 30
- Locus Constructions (via Paper Folding)
- Conic Sections
- Hyperbola (Locus Construction)
Coordinate Geometry Proofs
- Parallelogram Creation Exercises (I)
- Parallelogram Creation Exercise (II)
- Parallelogram Creation Exercise (III)
- Parallelogram: Coordinate Geometry Setup
- Parallelogram Diagonals
- Isosceles Triangle Medians
- Rectangle Diagonals
- Isosceles Trapezoid Diagonals
- Isosceles Trapezoid Midpoints
- Rhombus Diagonals
- Inscribed Angle Intercepts Semicircle
- 3 Special Points!
- Finsler-Hadwiger Exercise (VA)
- Finsler-Hadwiger Exercise (VB)
- Slope to Angle Measure Calculator (I)
- Slope to Angle Measure Calculator (II)
Slopes of Parallel and Perpendicular Lines
- Slope: Intuitive Introduction
- Slope: Intuitive Introduction (II)
- Quick Slope Types Illustrator
- Slope: Intuitive Intro and Exploration
- Quiz: Building Lines with a Given Slope
- Rise & Run (Revamped)
- Rise & Run
- Parallel Lines and Slope: Quick Investigation
- Coordinate Geometry: Quick Investigation
- Parallel Consequence? (VA)
- Parallel Consequence? (VB)
- Parallel Lines in the Coordinate Plane (VA)
- Parallel Lines in the Coordinate Plane (VB)
- Special Pair of Lines in the Coordinate Plane
- Parallel Consequence: Quick Reminder
- Parallel and Perpendicular Lines in the Coordinate Plane
- Parallel and Perpendicular Lines in the Coordinate Plane
- Perpendicular Lines in the CP: Quick Investigation
- Perpendicular Lines Investigation (VA)
- Perpendicular Lines Investigation (VB)
- Slope Triangle Rotation (VA)
- Animation 103
- 90 Degree Rotation about ANY POINT: Quick Exploration
- Parallel & Perpendicular Consequence
- Open Middle: Parallel and Perpendicular Lines
- Slopes and Angles (1)
- Slopes and Angles (2)
- Parallel Lines and Slope: Open Middle
- Perpendicular Lines and Slope: Open Middle
- Writing Equations of Parallel and Perpendicular Lines
- Exploring Parallel and Perpendicular Lines in the Coordinate Plane
- Equations of Perpendicular Lines (Open Middle) - V1
- Equations of Perpendicular Lines (Open Middle) - V2
- Creating 3 Lines to Form a Right Triangle
- Position the Line Tangent to the Circle
- Open Middle: Circle Tangent to Line (1)
Partitioning Segments
Distance in the Coordinate Plane
- Coordinate Plane Distance: Some Insight
- Distance in the Coordinate Plane (With Hints)
- Distance in the Coordinate Plane (II)
- Distance in the Coordinate Plane (III)
- Quiz: Distance in the Coordinate Plane (V1)
- Quiz: Distance in the Coordinate Plane (V2)
- Open Middle (Revamped): Creating Distances in 3 Space
- Distance in the CP: Conceptual Discovery Lesson
- Finding Distance in the Coordinate Plane: Quick Conceptual Practice
- Plotting Points via Distance in the Coordinate Plane
- Open Middle: Distance in the Coordinate Plane (2)
- Open Middle: Distance in the Coordinate Plane
- Open Middle: Distance in the Coordinate Plane (3)
Distance, Midpoint, Slope
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