The purpose of this book is to introduce hyperbolic geometry to students who are already familiar with Euclidean geometry. We will introduce the Kline model of hyperbolic geometry and have students learn how to create a tool in Geogebra. Students will also use a pre-made Kline model to explore perpendiculars and rectangles in hyperbolic geometry. After students have spent some time with the Kline model, we will introduce the Poincaré model. Students will explore what happens when the midpoints of a line are connected diagonally in the Poincaré model. Then students will compare the two models.