Unit Plan Rationale:
The rationale for the individual lesson plans tie the lessons together in a logical order, which will enable students to answer and apply learned concepts to the unit’s Central Question: How might geometric figures represent real-world situations? In our lessons, we will begin with the basic concepts of points, lines, and planes, as well as segments and congruence. These basic concepts will lead us into a lesson on developing the Midpoint and Distance Formulas. Next, we will see how the lines, segments, and rays we have studied, connect to create angles and shapes in our study, Classifying Angles and Polygons. We need to understand plane figures, such as different types of polygons, because they are used in numerous places. We will begin to see these figures represented in nature, architectural designs, and common place things such as street signs. We will follow with a lesson that uses our acquired knowledge of acute, right, and obtuse angles to delve further into angles by learning to describe angle pair relationships. We will complete our unit study with a lesson on finding perimeter, circumference, and area of various shapes. This will help us to develop strategies to apply these concepts to geometric figures we see in the world around us.
My goal for my students:
This school year in Geometry, students are expected to learn concepts that will enable them to prove geometric theorems such as the Pythagorean Theorem, to apply trigonometry to triangles, to find arc lengths and areas of sectors of circles, and to use algebraic equations to express geometric properties. Students will also learn geometric measurement of 2-D and 3-D objects, understand shapes in a plane, congruency and similarity of shapes, and make geometric constructions. My goal in Unit 1 - Essentials of Geometry - is to provide students with the basic concepts that are the building blocks to more challenging concepts in Geometry. I hope to provide engaging lessons that will create in my students a love of learning and a curiosity to explore new ideas.
The link above includes the Common Core State Standards addressed in this unit of study, as well as the goals for the unit and the more specific objectives. Also included are general descriptions of the assessments being used.