GeoGebra for Vocational High School Mathematics
A practical guide to using GeoGebra for teaching and learning vocational high school mathematics. Helps students visualize concepts and solve problems effectively.
Contents
Set Operations and Venn Diagram Visualization
Geometric and Algebraic Demonstration of Absolute Value Inequality |x| < a
Geometric and Algebraic Demonstration of |x| > a
Geometric Meaning and Solution of Absolute Value Inequality |ax-b| < c
Graphical Solution of Absolute Value Inequality |ax-b| > c
Exploring Absolute Value Functions and Inequalities
Example of Quadratic Inequality △>0 and a>0
Exploring Quadratic Functions and Quadratic Inequalities
Interactive Piecewise and Nested Function Calculation Demo
Effect of Base 'a' on the Graph of Exponential Functions
Effect of Base a on the Graph of Logarithmic Functions
Relationship Between Graphs of Exponential and Logarithmic Functions
Definition of Radian and Angle Conversion
Interactive Radian Positioning Practice
Graphing the Cosine Function
Plotting and Dynamic Demonstration of the Sine Function Graph
Graph of the Sine Function (Point-Plotting Method)
Dynamic Graphing of the Tangent Function
Sine Function Inequalities
Law of Sines and Its Geometric Construction
Parametric Transformation from Sine Function to General Sinusoidal Function
Memory Training for Trigonometric Values of Special Angles
Dynamic Demonstration of Trigonometric Induction Formula I (Periodicity)
Reduction Formula 2: Trigonometric Symmetry about the Y-Axis
Reduction Formula 3: Symmetry across the x-axis in Trigonometry
Reduction Formula 4: Trigonometric Relations under Origin Symmetry
Geometric Demonstration of Reduction Formula V (90°+α)
Geometric Demonstration of Reduction Formula VI (90°-α)
Geometric Proof of the Sine Addition Formula
Geometric Proof of the Sine Addition Formula (Improved)
Geometric Proof of the Cosine of Sum Formula
Geometric Proof of the Tangent Addition Formula
Geometric Proof of the Sine Difference Formula
Geometric Proof of Sine Difference Formula (Part 2)
Geometric Proof of the Cosine Difference Formula
Geometric Proof of the Tangent of Difference Formula
Geometric Proof of the Double Angle Sine Formula
Geometric Proof of the Double Angle Cosine Formula
Geometric Proof of the Double Angle Tangent Formula
Basic Trigonometric Identities (Hexagon Mnemonic)
Interactive Demo: Arithmetic Sequence General Term and Sum Formulas
Geometric Proof of Sum Formula for Geometric Sequences
Arithmetic Sequence Calculation Practice
Geometric Sequence Calculation Interactive Practice
Trees by the Road: Sequence and Geometric Transformation
Vector Coordinates and Operations
Interactive Demonstration of Vector Dot Product
Dynamic Demonstration of Line and Circle Positional Relationships
Exploring the Relative Positions of Two Circles
Geometric Construction of the Ellipse Definition
Second Definition of an Ellipse and Locus Demonstration
Properties of an Ellipse (Foci on the x-axis)
Properties of an Ellipse (Foci on the y-axis)
First Definition and Locus Construction of a Hyperbola
Properties of Hyperbola with Foci on X-Axis
Properties of a Hyperbola with Foci on the x-axis
Definition and Geometric Construction of a Parabola (Vertical)
Definition of a Parabola (Horizontal Opening) — Focus-Directrix Construction
Properties of Parabola
Nut-shaped Ellipse Locus Construction