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 “FitLine[]” Command to Find the Line of Best Least Squares Fit

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

Basic Geometry • Creating Circles, Lines, 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 “TaylorPolynomial[]” Command • Exploring the Convergence of Taylor Polynomials • Warnings Associated with Using “TaylorPolynomial[]”

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

and

n

Unknowns Equations