## Geometry

Welcome to Geometry! On this page you will find information about what we are doing in class each day along with the class information. If you are absent, be sure to check the website to see what you missed for that day.

SpringBoard provides a comprehensive and systematic approach to preparing ALL students for the demands of rigorous AP courses, college classes, and other post-secondary experiences. SpringBoard prepares students through sequential, scaffolded development of the prerequisite skills and knowledge needed for success in AP Calculus and Statistics. Through ongoing exposure to rigorous mathematics content and experience with the thinking processes needed to analyze, solve, and explain complex math problems, students exit SpringBoard equipped with the kind of higher order thinking skills, knowledge, and behaviors necessary to be successful in AP classes and beyond. Geometry students:

__Course Description:__SpringBoard provides a comprehensive and systematic approach to preparing ALL students for the demands of rigorous AP courses, college classes, and other post-secondary experiences. SpringBoard prepares students through sequential, scaffolded development of the prerequisite skills and knowledge needed for success in AP Calculus and Statistics. Through ongoing exposure to rigorous mathematics content and experience with the thinking processes needed to analyze, solve, and explain complex math problems, students exit SpringBoard equipped with the kind of higher order thinking skills, knowledge, and behaviors necessary to be successful in AP classes and beyond. Geometry students:

- Read, analyze and solve right triangle and trigonometric functions within contextual situations.
- Develop area formulas necessary for determining volumes of rotational solids, solids with known cross sections and area beneath a curve.
- Explain work clearly so that the reasoning process can be followed throughout the situation.

**Essential Questions**

The following are the essential questions for each unit that the students will be able to answer by the end:

__Unit 1 - Proof, Parallel and Perpendicular Lines__1) Why are properties, postulates and theorems important in mathematics?

2) How are angles and parallel and perpendicular lines used in real-world settings?

__Unit 2 - Congruence, Triangles and Quadrilaterals__1) How does proving theorems extend your understanding of Geometry?

2) How are patterns, algebra and geometry related?

__Unit 3 - Similarity, Right Triangles and Trigonometry__1) How are similar triangles used in solving problems in every day life?

2) What mathematical tools do I have to solve right triangles?

__Unit 4 - Circles and Constructions__1) Why is it important to understand geometric constructions?

2) How are the geometric properties of circles, their angles, and their arcs used to model and describe real world phenomena?

__Unit 5 - Coordinate Geometry and Transformations__1) What connections exist between transformations and dilations and congruence and similarity?

2) How are transformations and tessellations used in real world settings?

__Unit 6 - Measurement__1) How do two-dimensional figures help you visualize three-dimensional figures?

2) Why are geometric formulas useful in solving real-world problems?

__Unit 7 - Probability__1) How do independence and dependence of events affect the computation of probabilities in two-stage experiments?

2) Why are area models and simulations powerful tools in determining probabilities?

__Assignment Redo Policy__**Students are allowed to and encouraged to redo any a**

**ssignments or assessment.**To redo an assignment completed offline, the student must show their work on a separate piece of paper, staple it to the old assignment and turn in both the original and the redone assignment the following day. To retake an assessment a student must first complete and review a reflection form with Mrs. Diede to determine what misunderstandings the student possessed and to ensure the student understands the material before retaking the assessment.