安华中文学校

Course Description

课程简介(Course Overview )
The geometry course includes an in-depth analysis of lines, triangles, circles, and
coordinate geometry as they relate to both abstract mathematical concepts as well as
real-world problem situations. Topics include logic and proof, parallel lines and
polygons, perimeter and area analysis. Emphasis will be placed on developing critical
thinking skills as they relate to logical reasoning and problem solving. Students will be
required to use different technological tools and approaches to discover and explain
much of the course content.

教材 (Textbooks)
The Art of Problem Solving - Introduction to Geometry by Richard Rusczyk
The textbook is not required, as all the content will be given to students in class.
Course Materials
Compass, straightedge (ruler), protractor, plain paper, pencil, eraser, calculator
其他学习辅助资源(Resources)
IXL.com, hs.beestar.org

课程计划安排(Course Schedule )

• Week 1 Points, Lines, and Planes Straight and Vertical Angles 1, 2.1 to 2.3
• Week 2 Parallel Lines, Exterior Angles 2.4 to 2.8
• Week 3 Congruent Triangles - SSS, SAS congruent, Corresponding Parts of Congruent Triangles are Congruent 3
• Week 4 Congruent Triangles - SSS, SAS congruent, Congruent Triangles- ASA and AAS Congruence 3.4 to 3.5
• Week 5 Isosceles and Equilateral Triangles 3.6
• Week 6 Perimeter and Area Square and Triangle formulas
• Week 7 Similar Triangles- AA Similarity 5.2
• Week 8 Similar Triangles - SAS Similarity and SSS Similarity 5.3 and 5.4
• Week 9 Review
• Week 10 Unit 1 Test
• Week 11 Right Triangles
• Week 12 Congruence and Similarity Revisited, Special Parts of a Triangle – Bisectors, Perpendicular Bisectors of a Triangles  6.4, 7.1, 7.2
• Week 13 Angle Bisectors of a Triangle Medians 7.3, 7.4
• Week 14 Review of Weeks 11 through 13.
• Week 15 Altitudes Quadrilaterals, Trapezoids 7.5, 8.1, 8.2
• Week 16 Trapezoids, Parallelograms, Rhombi 8.2, 8.3, 8.4
• Week 17 Rectangles, Squares, If and Only If, Quadrilateral Problems 8.5, 8.6, 8.7, 8.8
• Week 18 Polygons, Angles, Areas, Polygon Problems 9.1, 9.2, 9.3, 9.4
• Week 19 Polygon Summary, Sides and Angles of a Triangle, Pythagoras, The Triangle Inequality 9.6, 10.1, 10.2, 10.3
• Week 20 Circle - Arc Measure, Arc Length, Circumference, Area, Review: Right Triangles, Bisectors 11.1, 11.2
• Week 21 Review
• Week 22 Unit 2 Test
• Week 23 Circles and Angles 12
• Week 24 Power of a Point 13
• Week 25 Three-Dimensional Geometry 14
• Week 26 Curved Surfaces 15
• Week 27 The More Things Change 16
• Week 28 Analytic Geometry 17
• Week 29 Analytic Geometry, Intro to Trigonometry 17, 18
• Week 30 Trigonometry: Unit Circle, Law of Sines, Law of Cosines 18
• Week 31 Final Review
• Week 32 Final Exam

家庭作业规则 Homework Policy
The students should review the class materials regularly. Spend about 15 minutes each day on the homework
problems. Students should complete all homework by the next class. Homework assignments will be available
on the google classroom website. Late or incomplete homework will incur a grading penalty.
The final exam does count towards the student’s grade. Parents are encouraged to help the students whenever
needed.

There will be some challenging bonus problems at the end of each homework. They are optional.
其他课程相关信息 Additional Information

Parents: please check the WeChat group for any updates.
Students: please check the google classroom for any updates.

Class Description