幾何学 1 学期

This is a small group class, we will meet live once a week, however there will be other content that the student will be responsible for watching, doing or reading.  This will ensure that the student will be able to ask questions.  Students are encouraged to apply concepts learned to their everyday life by either creating their own examples with their household or by looking at an example provided.  

Material will be presented through exploring concepts and discovering relationships between mathematical concepts.  There will be examples, practice and exploration.  Students will be given an example or exploration activity, then will work with the instructor to understand problems then they will solve problems on their own.   We will use Desmos to explore many concepts so that students can have a hands-on experience as well as more traditional practice.

This course is designed to emphasize the study of the properties and applications of common geometric figures in two and three dimensions.  It includes the study of transformations and right triangle trigonometry.  Inductive and deductive thinking skills are used in problem solving situations, and applications to the real world are stressed.  It also emphasizes writing proofs to prove properties of geometric figures.   After taking this class, you should plan on taking Geometry Semester 2, this will prepare you to continue with Algebra 2 and Precalculus.  As a teacher, I feel that each student's learning is important. 

Week 1:  Introduction to Geometry: vocabulary, nets and  measurements
Week 2:  Angle properties and Polygons
Week 3: Midpoint and distance Formulas, Area and Perimeter, Compass constructions
Week 4: Logic and reasoning, Intro to proofs
Week 5: Proofs and Logic, Introduction to Parallel Lines and Transversals
Week 6: Proofs using properties of parallel lines, transversals and angles
Week 7: Properties of slopes and perpendicular lines
Week 8:  Congruent Shapes and Triangles
Week 9:  Triangles:  Midsegment and Bisectors, Points of Congruency
Week 10:  Triangle Inequalities Theorems and Polygons
Week 11: Quadrilaterals
Week 12: Quadrilaterals
Week 13: Coordinate Geometry
Week 14: Introduction to Similarity