Geogebra Introduction Geogebra Download and Installation http www

Geogebra Introduction

Geogebra Download and Installation http: //www. geogebra. org

Graphing Functions • • • Creating Functions Creating and Referencing Points Creating Tangent Lines Creating Normal Lines Sliders

Plotting Parameterized Curves • The “Curve[]” Command • Interacting with Curves • Sliders

Least Squares • Plotting Points in the Graph Window • Using the Drop-Down Menu to Find the Line of Best Least Squares Fit • Plotting Points from the Spreadsheet • Using the “Fit. Line[]” Command to Find the Line of Best Least Squares Fit

Area and Integrals • Displaying and Computing Lower Sums and Upper Sums with the “Lower. Sum[]” and “Upper. Sum[]” Commands • Displaying and Computing Areas with the “Integral[]” Command • Demonstrating the Fundamental Theorem of Calculus

Basic Geometry • Creating Circles, Line Segments, Bisectors, Polygons and Measuring Angles • Investigating Sums of Measures of Angles of Polygons • Investigating Intersections of Bisectors of Sides of Triangles

Sequences • Plotting Sequences with the “Sequence[]” Command • Exploring a Special Sequence

Polar Plots • Using Parametric Curves to Create Polar Plots • Exploring Special Polar Plots

Taylor Polynomials • Using the “Taylor. Polynomial[]” Command • Exploring the Convergence of Taylor Polynomials • Warnings Associated with Using “Taylor. Polynomial[]”

Matrix Commands and Systems of Equations • Using the Spread Sheet to Create Matrices • Computing Matrix Addition, Subtraction, Multiplication, Determinant, Trace and Inverse • Solving Linear Systems of n Equations and n Unknowns